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MTH 127. Introduction to Mathematics for Elementary Teachers
Course Description
Elementary concepts of sets, numeration systems, number theory, and properties of the natural numbers, integers, rational, and real number systems with an emphasis on problem solving and critical thinking. | 677.169 | 1 |
It's an excellent book, though it's presentation is dated. For example, it uses notation that is considered relatively archaic today. Is it excellent for getting a deep understanding of the material, but you might want to supplement it with a more modern text. You will have to supplement it if your intention is to be able to read current literature.
It's also enormous and pretty wordy, so you might find some parts of it a little tedious. You don't really need much more than an decent undergraduate exposure to math, at least for it's "Track 1" material.
Where do MTW use archaic notation? They were more enthusiastic about Koszul notation than is common in GR books these days, but that is not archaic notation, it's very much modern notation. Compare with doCarmo, Riemannian Geometry or Kuhnel, Differential Geometry.
I don't like it very much. I prefer texts that are more rigorous and to-the-point. Wald is excellent, for example, but requires more mathematical sophistication. Still, MTW discusses many things that are not in any other texts. It also has a lot of fun and interesting problems.
MTW starts out pretty easy and ramps up gradually. If you have physics at the level of, say, the Feynman Lectures volumes 1 & 2, you should be reasonably prepared for track 1. A knowledge of Lagrangian mechanics would probably be helpful as well.
Of course the difference is very subtle, so maybe I'm wrong. In fact, the difference is so subtle, I'm not sure why anyone would make a big deal about it. In any case, the notation used in MTW is in no way "archaic" relative to current usage, except that nowadays Koszul notation is not used much in GR books. | 677.169 | 1 |
I've always wanted to excel in simplify power fractions, it seems like there's a lot that can be done with it that I can't do otherwise. I've browsed the internet for some good learning resources, and checked the local library for some books, but all the information seems to be targeted at people who already know the subject. Is there any resource that can help new people as well?
You might want to take a look at Algebrator. I bought it some time back to help me with my Algebra 1 course and I can say that it was really a good choice . There are so many demos given which you can browse through. You can also try out the questions related to cramer's rule and graphing by just typing them in. Algebrator provides comprehensive description to the problems which helps to make difficult concepts understandable . I would say that this program is absolutely the best that money can buy.
My parents could not afford my college fees, so I had to work in the evening, after my classes. Solving problems at the end of the day seemed to be difficult for me at those times. A colleague introduced Algebrator to me and since then I never had any problem solving my questions . | 677.169 | 1 |
Mathematics - Applied
This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory.
Alan Doerr, University of Massachusetts Lowell Kenneth Levasseur, University of Massachusetts Lowell
The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words.
In addition to an introduction to the essential features of basic probability in terms of a precise mathematical model, the work describes and employs user defined MATLAB procedures and functions (which we refer to as m-programs, or simply programs) to solve many important problems in basic probability. This should make the work useful as a stand alone exposition as well as a supplement to any of several current textbooks. Some key contributors are acknowledged.
Collaborative Statistics was developed over several years and has been used in regular and honors-level classroom settings and in distance learning classes. This textbook is intended for introductory statistics courses being taken by students at two– and four–year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it.
This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as "counting." The book consists almost entirely of problems.
Beatriz Lafferriere, Portland State University Gerardo Lafferriere, Portland State University Mau Nam Nguyen, Portland State University
Our goal with this textbook is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.
This text is designed for an introductory probability course taken by sophomores, juniors, and seniors in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject. The text can be used in a variety of course lengths, levels, and areas of emphasis.
This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course.
The book "Introductory Business Statistics" by Thomas K. Tiemann explores the basic ideas behind statistics, such as populations, samples, the difference between data and information, and most importantly sampling distributions.
Barbara Illowsky, De Anza College Lex Holmes, University of Oklahoma Susan Dean, De Anza College
Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.
Introductory Business Statistics with Interactive Spreadsheets - 1st Canadian Edition is an adaptation of Thomas K. Tiemann's book, Introductory Business Statistics. This new edition also allows readers to learn the basic and most commonly applied statistical techniques in business in an interactive way -- when using the web version -- through interactive Excel spreadsheets. All information has been revised to reflect Canadian content.
Douglas S. Shafer, University of North Carolina Zhiyi Zhang, University of North Carolina
Shafer and Zhang wrote Introductory Statistics by using their vast teaching experience to present a complete look at introductory statistics topics while keeping in mind a realistic expectation with respect to course duration and students' maturity level.
Christopher D. Barr, Harvard School of Public Health David M. Diez, Harvard School of Public Health Mine Cetinkaya-Rundel, Duke University
OpenIntro Statistics 3rd Edition strives to be a complete introductory textbook of the highest caliber. Its core derives from the classic notions of statistics education and is extended by recent innovations. The textbook meets high quality standards and has been used at Princeton, Vanderbilt, UMass Amherst, and many other schools. We look forward to expanding the reach of the project and working with teachers from all colleges and schools. | 677.169 | 1 |
MAT 240: Methods of Problem Solving Fall 2008 Syllabus
Professor: Robert Talbert, Ph.D. Office hours: Old Main 128 MF 11:00-12:00, MTRF 1:30-2:30 and by open-door drop-in, appointment, or instant messenger. Voice: 317.738.8268 Email: rtalbert@franklincollege.edu AOL instant messenger: rtalbert235 Google Talk instant messenger: robert.talbert Course Materials • Textbook: T. Sundstrom, Mathematical Reasoning: Writing and Proof, 2nd ed., Prentice-Hall. • Course website: (Note: This is different and separate from the course Angel site.) • Additionally, students should have 24/7 access to a computer for class work involving Maple, web access, and LaTeX typesetting. Catalog Course Description An overview of various methods of problem solving to discover patterns, construct and modify conjectures, and develop proofs of those conjectures in topics including number theory, algebra of complex numbers and set theory. Proof by induction will be discussed. Incorporates use of computer algebra systems. Prerequisite: MAT 142 (Calculus II). Informal Course Description and Course Goals Methods of Problem Solving is a course about how mathematics is discovered, developed, and communicated. It is intended to help students make the transition from calculus to higher-level mathematics courses centering on difficult problems, often problems requiring proofs, as opposed to simple exercises as you saw in calculus. A particular emphasis is placed on constructing and writing proofs for mathematical conjectures. The successful student in MAT 240 will be able to do the following: • Employ structured problem-solving strategies to understand a problem; plan out a reasonable solution based on reconnaissance problems and experimentation; execute a solution plan with fluency in the necessary tools; and examine a solution critically to weight its correctness and soundness. • Develop fluency in the mathematical content treated in the course (from the areas of calculus, logic, set theory, number theory, and complex number arithmetic). • Construct examples, counterexamples, and reconnaissance solutions, employing appropriate technological tools when helpful. • Construct complete, clear, and correct solutions to problems, including both problems to find and problems to prove. • Refine one's work based on feedback from the professor, from classmates, or from individual experimentation. • Create a professional document displaying solutions to problems using the LaTeX typesetting platform. • Perform all of the above tasks both as an individual and as a member of a working group. What to Expect You cannot learn problem solving except by doing problems. This class, accordingly, will be very active on a daily basis, and it will depend on each student to prepare and think well for each class and participate actively in each class in order to get the most out of the course. The professor's role in MAT 240 will not be that of a lecturer but rather a course manager (setting up assignments and grading work) and a discussion coordinator. The students' job is to give a diligent, good-faith effort to prepare well for each
MAT 240 Fall 2008 Syllabus: Page 1 of 7
class and then bring their thoughts and ideas -- even partial ones -- to class every day in order to motivate a stimulating discussion period. This involves: • Reading the textbook carefully and working the Progress Checks as you go; • Giving a serious, significant effort to working each of the problems assigned for discussion; • Keeping well-organized records of your notes, questions, graded work, and grades; • Seeking help from the professor as needed; and • Staying on top of work that is due in the future. Especially important is this rule: DO NOT FALL BEHIND, AND DO NOT PROCRASTINATE. If you do either, even occasionally, you will find that it is extremely hard to catch up. The kind of work we do in MAT 240 is not the kind that can be done in a single hour just before it is due. It takes time, repeated and persistent effort, and patience (and a healthy sense of humor). Falling behind or procrastinating will spell almost certain failure, even if done early in the course. On the other hand, putting forth a consistent effort to do well and stay up to speed in the class will pave the way for a successful and enjoyable future in your math courses, as all such courses from here on will use MAT 240 as a prerequisite and touchstone. Making the transition from lower- to upper-level mathematics is difficult and often frustrating. You should take encouragement from the fact that most class discussions are formative in nature, meaning that we all expect mistakes to be made and incorrect ideas to be floated. This is part of the learning process, and even professional mathematicians usually start a new line of research with mostly bad or wrong ideas. The goal of class meetings is to hammer out correctness from the raw material you bring. The more raw material you bring, and the more honest the hammering-out process is, the more you will learn and the better you will do on summative assessments (e.g. midterm and final exam) where you are expected to do things correctly the first time. It is appropriate, given the difficulty level of the class, that the professor should extend himself proportionately to the same degree you are being ask to extend yourselves. I hold regular office hours and maintain an open-door policy for unannounced drop-ins; I also make myself available through instant messaging. Please do not hesitate to call on me for help; it's my job. Assessments and Grading Your grade in the course will be determined by the following items of work: • Preview Activities (10%). Each day when a new section is covered, students will be responsible for completing the Preview Activities in the textbook for that section. The Preview Activities consist of 2-3 multistep exploratory problems that are designed to stimulate your thought about a new topic and prepare you for further work on the new topic. Students may do Preview Activities individually or in groups of 2 or 3. • Participation (10%). Students will receive 4 points per class for showing up on time and providing thoughtful (not necessarily correct) responses to all questions posed to him or her. Students will also rotate through being the "scribe of the day", which involves writing up course notes and solutions to problems and posting them to the course web site for a grade. • Written Assignments (15%). There will be five written assignments given during the semester consisting of discussion problems we do not complete and other supplementary problems. • Professional Development (5%). Each student will have the opportunity to participate in various outsideof-class activities having to do with mathematics or math-oriented professions. A list of Professional Development opportunities will be maintained on the course website. Most activities will be worth 5-10 points; students must accumulate at least 50 points throughout the semester. • Midterm Exam (20%). This exam will be given in class on Thursday, October 9. • Problem Portfolio (20%). This major assignment will consist of individual students working through a collection of 10 problems during the entire semester, writing them up professionally, and submitting them as a portfolio. More information on Problem Portfolios will be given in a separate handout. • Final Exam (20%). A comprehensive final exam will be given on Wednesday, December 10 from 1:30--3:30.
Keep in mind that most students in MAT 240 need a C- or higher to "pass". Course Policies Academic Honesty. All work that is submitted by a student must be the work of that student alone. Submission of work that properly belongs to someone else constitutes plagiarism and is heavily punished by Franklin College. Please see the notes on academic honesty which are appended to this syllabus for more details. Attendance. The effectiveness of this course depends upon your preparation, attendance, and participation in the class meetings. Each student is expected to attend class every day and participate in an active, well-prepared discussion. You will not receive participation credit for any day that you miss. Absence on the day of the midterm exam (October 9) or final exam (December 10) must be accompanied by a documented excuse, signed in ink by an adult in charge of the situation (doctor, police officer, etc.) and submitted to the professor within 24 hours of the midterm in order to qualify for a makeup. Otherwise a grade of "0" will be given. Late Work. Late submissions of preview activities and written assignments will not be accepted. This includes handing in preview activities late because a student was late to class. If a student knows in advance that he or she will be missing a class, all work that is due for that day must be submitted in advance (email is good for this) or by proxy (= giving it to another student to hand in). Students with Learning Disabilities. Students with documented learning disabilities are eligible for alternate exam environments, including extended times and alternate locations. Please see the professor as soon as possible to arrange such accommodations if you are eligible. Technology. It is assumed that students in MAT 240 have basic proficiency with the operation of a personal computer and with the resources on the campus network. Technological difficulties will not be considered valid excuses for late work. For example, failing to hand in a written assignment because "the printer won't work" will result in a grade of 0; the student should instead email the assignment as an attachment to the professor or hand in the writeup on a flash drive. It is assumed as well that you will back up your work to multiple locations besides your personal computer (e.g. your G: drive, a flash drive, as an email attachment to yourself, using a web-based storage service such as box.net, etc.) in the event of a catastrophic computer failure such as a hard drive crash. Students will be responsible for checking their Franklin College email and the course web site at least once per day for announcements and assignments. Writing. A key element of MAT 240 is effective communication, particularly technical communication and especially as regards mathematical proofs. Even if you never write a proof in your post-college career, you will be called upon to argue logically for or against an idea and to communicate your thoughts (or the thoughts of your employer) with clarity and precision. A large portion of your grades on all the
MAT 240 Fall 2008 Syllabus: Page 3 of 7
assessments in MAT 240 will be based on the quality of your writing, which in mathematics also includes the correct use of mathematical notation and terminology. Therefore it is implicit in every exercise or problem you work that you must give a complete, correct, and clear explanation of your answer and not just give the answer itself. (For many problems, the "answer" is itself the explanation.) Students are expected to use English correctly, including correct spelling and grammar, and to format their mathematics in a professional way. There are hints in the textbook for how to write mathematics, and you will be expected as part of your nightly reading to absorb and implement these hints.
Academic Honesty in MAT 240 and at Franklin College One of the primary, if informal, goals of MAT 240 is to get you to "think like a mathematician". The overall goal of the course is to develop your problem-solving, proof-construction, and communication skills to the point where you are a confident problem-solver in any context and a fluent lifelong learner of mathematics, having followed your own path toward understanding and appreciating this amazing subject. As such, all of the work that you complete as part of the requirements for this course must be your own work, or the result of an honest and equitable collaboration among the members of your working group. When I grade your work, I am looking to see your own personal development in the understanding of the material. I must be able to trust that the work that you are handing in reflects this development and understanding accurately, even -- especially -- if there are problems or errors in it. I have no interest in your merely emulating the work of one of your classmates, copying or even paraphrasing work from a web site or textbook, or in any way otherwise passing off someone else's work as your own. Plagiarism is the term usually given to define the act of handing in work as if it were your own, when in fact it is not. Academic dishonesty is a broaded term that encompasses plagiarism as well as other actions such as using unauthorized implements on a timed exam. Academic dishonesty is so named, and plagiarism is included under its heading, because academically dishonest behavior is intended to mislead the professor into thinking that your work is an accurate reflection of your learning. To be clear: Academic dishonesty is not a "youthful indiscretion" or something that can be rationalized away because of the stresses of college life or because so many get away with it. It is a deliberate, conscious choice on the part of the student to mislead his or her professor, and it demolishes the mutual trust upon which all of education is predicated. If you plagiarize or commit academic dishonesty, it is not just the one instance that I cannot trust; your entire body of work (past, present, and future, and not just for MAT 240 but for all your college career) becomes untrustworthy. And it is supremely unfair to the students who are struggling but doing so honestly. The penalties for academic dishonesty in any form are appropriately severe at Franklin College. If a professor suspects academic dishonesty on an assignment, the professor is required to investigate it. (Note: This is not a choice on the professor's part but a job-related obligation according to the Faculty Handbook of Franklin College.) If the professor, in his or her professional opinion, finds that academic dishonesty was committed, each student involved receives a grade of "0" on the assignment, and each student's letter grade in the course is lowered by one full letter, after the "0" has been factored in. That is the penalty for the first offense in the student's career at Franklin College. If it is the student's second offense -- or if the student commits a second offense later -- the student is expelled. While professors do have some leeway in recommending alternative punishments for academic dishonesty, it is my personal policy not to do so, but rather recommend the full force of the penalty in all situations -- whether the assignment in question was a final exam or a 5-point reading assignment.
MAT 240 Fall 2008 Syllabus: Page 4 of 7
Given the severity of academic dishonesty and its punishment, it is appropriate to lay out precise guidelines for academic honesty in MAT 240 in various cases. • On Written Assignments, every sentence that you write should be one that you have generated yourself and that you understand. You are permitted to collaborate with other classmates on overall strategies for solutions and on big ideas and hints. But you must be working alone when you write your solutions. Additionally, all collaboration with other students on Written Assignments must occur with students who are currently at the same stage of the solution as you. For example, if you are making no progress on a solution and find a classmate who had finished the problem, and then get help on how to do the problem, that is considered plagiarism (collaborating with someone not at the same level of progress as you). If you are making no progress on a problem and get together with 2-3 classmates who have also made no progress to brainstorm big ideas for the solution, then this is acceptable collaboration. However, if one of those students in your brainstorming group comes up with the correct idea for the solution, and you simply write down their work without working out the details for yourself and without real understanding, then that's plagiarism (using someone else's work as your own). • Also on Written Assignments, the primary resource you should use is the course textbook and your notes (and the notes that are on the course web site via the daily scribes). However, you may find it helpful sometimes to look up additional reference material in other books (such as your calculus book). If you use such information in a significant way for your solution, you must attribute it properly using the title, author, and page numbers of the resource you used. However: It is plagiarism to use other books or other mateirals to get completed solutions or significant parts of completed solutions; this is using someone else's work as your own. • Finally for Written Assignments, no contact whatsoever is allowed with past students from MAT 240. Those students have attained a level of expertise that places them automatically at a higher level of performance than students who are already in the class. • On Preview Activities, students may work individually or in groups of 2 or 3. Students working individually are to operate under the academic honesty guidelines for Written Assignments -- keeping in mind that all you need to do is give a significant, serious good-faith effort to get a perfect score! If students work in groups, then collaboration may happen freely within the group (also keeping in mind that individuals need to understand the reading for participation opportunities), but groups may not interact with other groups outside the guidelines above. • The academic honesty requirements for the Problem Portfolio are significantly more restrictive: Here, you will not be allowed any collaboration with any person, book, web site, etc. other than the professor. More information on the Problem Portfolios in general will be given to you in a later document. • For all other assessments -- participation, professional development, midterm, and final -- student work is such that plagiarism is not really an issue. However, obviously exams will be closely monitored so that only authorized implements are being used. The easiest route to take in order to avoid issues with academic dishonesty is just simply to recognize and avoid the temptation to engage in it. It is much better to turn in work that has problems but honestly reflects your best efforts than to turn in something that, for all practical purposes, lies to the professor about you. You might lose points in the short term, but you will learn better, perform better, and enjoy your mathematical future better if you stay honest.
PS: In order to "walk the walk" here, I should mention that portions of this document were adapted from Ted Sundstrom's syllabus for this course, which is available at his web site at Grand Valley State University. | 677.169 | 1 |
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Algebra II: Equations and Inequalities
Description: I have also included this website. In some sections, students will be able to experiment in the computer lab using the Geogebra. The website is also included below. One quiz per week and a chapter test will follow at the end of each chapter. A unit project will follow at the end of each chapter. Each group will present what they have learned and will follow the rubric which will be explained at the beginning of the school year.
Learning Targets:
Students will be able to use the order of operations to evaluate expressions.
Students will be able to use formulas.
Students will be able to classify real numbers.
Students will be able to use the properties of real numbers to evaluate expressions.
Students will be able to translate verbal expressions into algebraic expressions and equations, and i.e. versa.
Students need to know: the rules of exponents, identify and use the arithmetic properties of real numbers, use properties of real numbers to evaluate expressions, solve equations using properties of equality, solve equations involving absolute values, and solve one-step and multi-step inequalites.
Chapter 1 in algebra II needs to be presented in such a way that students will want to learn and not get frustrated for further chapters. I will use videos to attract and retain information rather than past practices. I will use Khan Academy for extra reinforcements. I will use Gist Notes rather than have students take lecture notes. I will use geogebra for students who are visual learners.
I will start section one by having students take notes using the Gist Notes within the web browser or a PDFand write down all vocabulary terms. Then I will show them a video of the lesson and one geogebra lesson. Then students will solve some problems by themselves. At the end of the hour, students will be able to solve problem from Khan Academy or a worksheet. Geogebra will be used as a presentation in the middle of the chapter.
I think that using an extra resource such as Khan Academy will help my students. However I think that geogebra will be very difficult for my students. They have to know what each icon can do and it will be very time consuming if they are not familiar with it. I will use Gist Notes for the first time and see how it goes this fall versus having students take notes by listening to me.
To view this and other resources in the repository, please tell us which school you're from. Or, if you already have a user account please log-in to prevent future prompts. Don't have an account? Create one. | 677.169 | 1 |
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Mathematics
What do a Daft Punk song, Call of Duty: Black Ops, and your Facebook page have in common? They're all based on mathematics.
That's right. Math. It's everywhere. And while you don't need to know how to write algorithms for high-end video games, a solid understanding of math is critical to your education and career. In fact, mathematics is one of the cornerstone general course requirements for those seeking an associate's degree.
In the Mathematics program at MCC, you'll learn important math basics, like arithmetic, geometry, and algebra. Our program is also a great for the student who is interested in transferring to a four-year math program | 677.169 | 1 |
Law of Sines Fun Doodle Notes. Great addition to your Algebra 2, Trig, or PreCalculus classes.
Students love to doodle, and doodling has been shown to help them focus on the task at hand. The Wall Street Journal reports that "Doodling Helps People
Pre-Calculus Back to School Comic Book Doodle Note Review Bundle
Do you want to assess the skills of your Pre-Calculus students and WOW them at the same time? If so, this is the review packet for you.
Included are 46 problems on 6 pages of Comic
Permutations and Combinations Comic Book Style Doodle Notes and practice
Your students will love this new Comic Book style Doodle Note resource covering Permutations, Combinations, and the Counting Principle. Use it in class or as homework,
Calculus Limits Comic Book Style Doodle Notes
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Your Calculus students will love these engaging Related Rates problems presented in a fun Super Hero Comic Book theme. Both challenging and fun! They won't even realize they're learning.
The activity includes one completed example plus nine more
Composition of Functions Comic Book Style Doodle Notes and Practice
Your students will love this new Comic Book style Doodle Note resource which can be used as homework, assessment, or enrichment. A fun and engaging format to practice their
Are you looking for a fun new way for your students to learn to solve and practice solving Multi-Step Equations? Your students will love this new Comic Book style Doodle Note resource for Solving Multi-Step Equations. Use as homework,
Condensing Logarithms Comic Book Style Doodle Notes
Your students will love this new Comic Book style Doodle Note resource which can be used as homework, assessment, or enrichment. A fun and engaging format to practice their skills! Plus No
Calculus Derivative Power Rule Task cards plus Comic Book Style Doodle Notes. These activities are designed for AP Calculus, College Calculus 1, and PreCalculus for some curriculum.
Part1. Activity Based Learning with Task Cards really does work
Your Calculus students will love these new Comic Book Style Doodle Note and Practice, a fun and engaging format for your students to practice their skills the Product and Quotient Derivatives Rules.
It has been shown that doodling and working with
Calculus Derivative Power Rule Comic Book Style Doodle Notes
Your students will love this new Comic Book style Doodle Note resource which can be used as homework, assessment, or enrichment. A fun and engaging format to practice their skills and
Calculus Trig Integrals Comic Book Style Doodle Note Practice
Your students will love this new Comic Book Style Doodle Note worksheet, a fun and engaging format for your students to practice their skills with Trig Integrals!
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Expanding Logarithms Comic Book Style Doodle Notes
Your students will love this new Comic Book style Doodle Note resource which can be used as homework, assessment, or enrichment. A fun and engaging format to practice their skills! Plus No prep
Deriving the Quadratic Formula Comic Book Doodle Notes plus Practice.
Students have always had difficulty deriving the Quadratic Formula, but now with this great step by step Doodle Note handout with a Comic Book Theme, they will breeze right
Function or Not a Function? Your students will love this engaging and challenging sort with a fun Comic Book Theme.
There are 24 relations which your students will sort as FUNCTION or NOT a FUNCTION. Problems include a mix of graphs | 677.169 | 1 |
The Department of Mathematics
Mathematics is the science and study of numbers, shapes and spaces and how they apply to the universe in which we live. Mathematics examines operations, interrelations, combinations, generalizations, abstractions, configurations, structure, measurement and transformations.
Pathways
Perimeter College Department of Mathematics provides students with a strong foundation to transfer to a four-year college and continue into the work force or graduate studies. Math clubs and programs such as STEM or MESA help to increase academic performance. Students also have opportunities to compete in national tests sponsored by the American Mathematical Association and gain access to support from tutoring, scholarships and grants. | 677.169 | 1 |
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Mathematics Levels
Parents are consistently looking for the most effective ways to assist their youngsters perform higher at school- specifically in mathematics. His vital mathematical work Kitab al-Shifa' (The Book of Healing) divides mathematics into 4 major topics, geometry, astronomy, arithmetic, and music. It makes widely available the strategies of Fourier evaluation , which will have widespread applications in mathematics and all through science.
Mathematics turns into a obligatory topic for a degree at the University of Paris. The American Mathematical Society's Early Careers page profiles latest graduates and their jobs. Okay so, there are various mathematic algorithms used to detect the onset of burstiness in electronic networks and communication programs, and techniques to re-route knowledge, decelerate input, output or processing.
We are able to say that mathematics has been a human concern since written document exist. In a Renaissance mathematics starts to heavily interacts with and confirms a variety of new scientific discoveries and that effected in a rapid growth of this discipline and high curiosity which is current and evolved in as we speak's world.
It could for instance be used as a place for an alumni reunion, a honeymoon within the wild" or a mathematics workshop. A mathematics degree may be the start line for a lot of different roles inside engineering careers. The Olimpíada Brasileira de Matemática (OBM) (Brazilian Mathematical Olympiad) is an annual nationwide mathematical competitors for elementary, secondary, and undergraduate students, whether from public or private establishments. | 677.169 | 1 |
Algebra I by Jerry Bobrow Ph.D.
By way of pinpointing the things you really want to grasp, not anyone does it greater than CliffsNotes. This speedy, powerful educational is helping you grasp center algebraic ideas -- from monomials, inequalities, and analytic geometry to capabilities and diversifications, roots and radicals, and note difficulties -- and get the absolute best grade.
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The total Idiot's consultant to hurry Math presents easy-to-understand equipment, tips, and tips to do math in one's head, on paper, and on a calculator at a quicker price and with extra accuracy for a person who's intimidated by way of math and for whom such calculations may another way require paper or calculator.
Ten years in the past, Barbara Kingsolver released a primary novel that's good on its option to turning into a vintage paintings of yank fiction. The Bean bushes is a booklet readers have taken to their hearts. it's now a regular in collage literature periods around the country and has been translated for a readership stretching from Japan to Romania.
Your entire consultant to a better rating at the AP Biology examination. incorporated in ebook: A evaluation of the AP examination structure and scoring, confirmed suggestions for answering multiple-choice questions, and tricks for tackling the essay questions. a listing of 14 particular must-know rules are coated. comprises pattern questions and solutions for every topic.
3 is an element of the set of 1, 2, 3. Special sets A subset is a set within a set—{2, 3} 1 {1, 2, 3}. The set of 2, 3 is a subset of the set of 1, 2, 3. The universal set is the general category set, or the set of all those elements under consideration. The empty set, or null set, is a set with no members— 4 or { }. Describing sets Rule is a method of naming a set by describing its elements. {x|x > 3, x is a whole number} {all students in the class with blue eyes} Roster is a method of naming a set by listing its members. | 677.169 | 1 |
Mary Weurth
Biology Session Presenter for Intermountain AP Summer Institute
Mary Wuerth teaches AP Biology and Integrated Science at Tamalpais High School in Mill Valley, CA. Mary earned her B.S. in Biochemistry from UCLA, then did neurobiology research at UCLA before beginning her teaching career in south Los Angeles. Mary did graduate work in cell and molecular biology at San Francisco State University and earned her master's in Biological Sciences through Clemson University.
She has served as a mentor teacher for her district, taught biology at College of Marin, was the life science subject matter expert for student teachers in the education program at Dominican College. Mary currently serves on the advisory board for the single-subject credential program at Dominican College. Mary was selected as one of 25 Lead Teachers for WGBH-TV's Evolution Project and was awarded a RadioShack National Teacher Award for the use of technology in the classroom. Mary received the Presidential Award for Excellence in Math and Science Teaching and is an HHMI Biointeractive Ambassador.
Mary is a workshop consultant for the College Board, and has served as a reader and a table leader for the AP Biology exam. She has been presenting AP Biology workshops since 1999.
Description
The purpose of this session will be to familiarize participants with the Redesigned AP Calculus Curriculum Guide which went into effect in 2016-2017 school year and to work on strategies that help students master the Enduring Understandings of the course. All of the major topics in the AB syllabus will be covered with an emphasis on graphical and numerical analyses along with traditional symbolic and verbal manipulations. Activities that promote student understanding as well as an emphasis on difficult or confusing topics for students will be explored for classroom trouble-shooting techniques. Special attention will be given to assessment of written student responses to facilitate improvement and success. Along with the 2017 Free Response Questions, released Multiple Choice Questions (2003, 2008) as well as College Board Sample Multiple Choice Questions (for 2017 Exam) will be discussed. Furthermore, AP Central will be used as a valuable resource for instruction and assessment.
Pario-Lee Law
Calculus AB Session Presenter for Intermountain AP Summer Institute
Pario-Lee Law earned her B.S. in Mathematics from Averett University and her M.A. in Mathematics Education/Curriculum & Instruction from Virginia Tech University. She has taught high school mathematics for 19 years in Virginia and was named the Outstanding Secondary Mathematics Teacher for the National Science Foundation in 1997. For the past 18 years, she has been teaching at D'Evelyn Jr. Sr. High School in Denver, Colorado. Her teaching experience includes 29 years teaching AP Calculus AB, 10 years teaching AP Statistics, and other courses beginning with Algebra 1 though Pre-Calculus/Trigonometry. Pario-Lee's Advanced Placement Reading experience includes serving as a Reader for 6 years, a Table Leader for 6 years, and a Question Leader since 2010. Pario-Lee also serves a College Board Consultant, presenting 1-day and 1-week workshops for high school teachers (primarily in the Western Region) for the past 17 years. Pario-Lee is one of the Davidson NEXT Instructors featured in the Calculus Instructional Videos on AP Central (Calculus Pages) available to high school teachers and students. Currently, Pario-Lee lives in Jacksonville, FL and will be teaching part-time at Jacksonville University beginning Spring 2017.
Gary Taylor
Calculus BC Session Presenter for Intermountain AP Summer Institute
Gary Taylor received a BS in Mathematics from Iowa State University and an MS also in Mathematics from the University of Iowa. He taught for 11 years in Iowa and 30 years in Utah at Davis High School.
Awards received include The USA Today All USA Teacher Team Second Team 2000, the Davis School District Hall of Fame/Horizon Award 2001, the Huntsman Award for Excellence in Education 2008, and the UCTM Don Clark Award 2013.
Gary taught AP Calculus at Davis High School for 20 years and was an AP Reader for 6 years. He was instrumental in building one of the largest and most successful AP programs in the United States.
Gary has led numerous College BoardTM Calculus workshops in Montana, Utah, Colorado, Texas, District of Columbia, Washington, California, New Mexico, Hawaii, and Nigeria.
Gary is coauthor of "The Essentials of Calculus" and "Calculus Extended".
Description
This workshop will be suitable for teachers with varying amounts of experience in teaching AP Chemistry. The discussions will feature the use of the Big Ideas, Learning Objectives, and Science Practices to enable students to respond well to a variety of question styles on the AP Chemistry exam. Lab experiences will be linked to Big Ideas to promote student inquiry and discussion, with coverage of all six Big Ideas but special focus on Big Idea 3 (Chemical Reactions and Reactivity), Big Idea 4 (Chemical Kinetics), Big Idea 5 (Chemical Thermodynamics), and Big Idea 6 (Chemical Equilibrium). The workshop will include discussion of the chemistry content of a first-year college chemistry course, the common misconceptions that persist for students, and the importance of the laboratory component on student preparation for the AP exam. A review of the new type of conceptual AP Exam questions will enable students to display their understandings of the new framework. Insights from recent Readings on grading the exam in the new format will be shared.
David Hostage
Chemistry Session Presenter for Intermountain AP Summer Institute
David Hostage has been teaching science at the secondary level since 1976. Since coming to Taft School in 1984, he has taught all levels of chemistry and other sciences as required. He has been Head of the Science Department for two different terms. An active participant in the AP Chemistry community, he has taught the AP course since 1986 and has led workshops in the subject for teachers since 1988. He has been a Reader, Table Leader, and Question Leader at the grading of the AP exam since the early 1990s. For four years he was a member of the Test Development Committee for the subject. Mr. Hostage is the author of a lab manual (Laboratory Investigations: AP Chemistry, Peoples Education) and a test review book (Multiple-choice & Constructed-response Questions in Preparation for the AP Chemistry Examination, D&S Marketing Systems) for AP Chemistry. For many years he was director of the Taft Educational Center, a large professional development institute for teachers from around the world.
Xiaolin Chang
Xiaolin Chang currently is teaching AP Chinese and serving as the head of the world language department at Lowell High School in San Francisco. In the professional development field, she has received extensive training in second language acquisition theory, methodology, assessment (COCI)). She was in the committee of the Chinese section for the National Standards of Foreign Language Learning for K-12.
Her professional experiences in AP Chinese Development include being a member of the AP Chinese Language and Culture Exam Development Committee, Professional Development Advisory Group, co-author of Pre-AP Summer Institute manual and one of the syllabi contributors to the AP Chinese Teacher's Guide. She serves as a College Board AP Chinese workshop consultant.
Description
This week will focus on method and content used in teaching students to become superior readers, writers, and thinkers. To cultivate new texts and strategies for classroom use, the seminar will include a variety of non-fiction. We will focus on creating compelling units of study while maintain a focus on the instruction of composition. Much time will be spent looking at both the multi-draft essay—including the research paper—and the timed essay. Some of the week will be used exploring how to use holistic scoring to improve student writing.
We will work with the objective and written portions of the AP English Language test. Special attention will be paid to the essay questions from previous exams. We will examine a variety of syllabi, forms of assessment, and managing the overwhelming paper load that comes with teaching AP English classes.
Mary Jo Zell
Mary Jo Zell lives and teaches in Keller, TX. She received her B.A. from Villanova University, and her master's degree from Georgia Southwestern University. She began her teaching career in Pennsylvania and Georgia and is currently the department Chair of English at Keller High School, where she has taught for 16 years. She is in her 22nd year teaching high school English, and has taught every level 9-12th. Presently, she teaches AP Language and AP Literature. For the past 12 years she has served as an AP Language Reader for the College Board; she is currently a Table Leader for the AP Language and Composition exam. She is an AP College Board Consultant and has conducted various workshops and summer institutes. Additionally, since 2010 she has worked with NMSI- conducting APSI's, leading mock readings, and training teachers.
Description
Participants will learn and share strategies and best practices to help students enjoy learning and performing well in their advanced English classes and on the AP English Literature exam. We will explore a variety of works and share. Thus, please bring copies of your favorite unit, lesson plan, or activity to share. If you do not feel comfortable sharing your ideas, you do not need to. But we would love to hear from you.
Marilee Eyre
Marilee Eyre loves teaching and watching her students succeed. She has taught AP English at Beaver High School for 26 years. She graduated with a double major in English and Business Education from Southern Utah University, where she was the Outstanding English Student and one of four Outstanding Business Education Students. Marilee completed a Master's degree from Southern Utah University as well as an Administrative and an ESL Endorsement. She is an Adjunct Professor at Southern Utah University, and she was selected Teacher of the Year and Utah Girls Golf Coach of the Year. Mrs. Eyre has been an AP English Lit Reader for thirteen years and is a consultant and mentor for the College Board. She presents Saturday and five-day workshops throughout the United States. Marilee has reviewed textbooks for various publishers and grades practice AP exams.
Marilee has coached Debate for 17 years, and her students have won multiple State Championships and placed at national tournaments. Mrs. Eyre is a National Forensics League Diamond Coach and has been Utah's Debate Coach of the Year.
Mrs. Eyre enjoys keeping active and playing sports. She loves to golf and helped initiate the girls' golf program in Utah. She currently coaches Girls Golf at Beaver High and has coached softball for several years.
Description
During our four days together, we will examine various strategies for teaching AP English Literature and Composition to a wide range of ability and preparedness levels. We will use the text As I Lay Dying by William Faulkner which all participants are asked to read ahead of time and bring to the workshop. Since this is a very popular and challenging AP text, I would like to use it as a model for discussions of AP Literature strategies. We will spend one full day looking at real sample essays from past exams using this novel and discussing alternative forms of classroom assessment and presentation, as well as the literary content of the text.
Participants will receive several sample text books as well as many range-finder essays, rubrics and past AP exams. A thumb drive will be provided containing several years' worth of past questions and student responses as well as other teaching materials on the elements of style analysis (diction, detail, syntax, point of view and organization).
Approaches to these 5 elements of style analysis will also comprise one day of the session. In addition, at least one full day will be devoted to the nature and content of the AP English Literature Exam. During the week, we will also practice timed writings using recent AP prompts.
Best practices, the sharing of strategies that work in the classroom, is a popular feature of AP workshops. We will draw on the experience of participants to share their best practices from their own experience so that all will go back to their classrooms in the fall with a variety of teaching options.
I look forward to an energizing week in July that will send everyone back to the classroom charged with enthusiasm, ideas and new teaching materials.
Prospective participants may feel free to email me with questions at Shatzie2@aol.com.
Mary Filak
Mary Filak holds a BA in English from the University of Massachusetts, Amherst, an MA in English Literature from Simmons College, Boston and has done graduate work at Oxford University, Oxford, England. She is a veteran of 30 years in the English classroom, including eleven teaching AP English Literature and AP English Language at Ridge High School in Basking Ridge, NJ. In addition to high school teaching, she has taught composition at colleges in Massachusetts, Virginia, New Jersey and South Carolina. She has been a reader and table leader of the AP English Literature exam for the past 15 years and is an endorsed consultant for the College Board, presenting workshops in English Literature and Composition. She currently teaches adult education courses at the University of South Carolina, Beaufort.
Description
Hello everyone,
Welcome to the Planet of the A.P.E.S
This session is designed for both new and experienced teachers. At this summer's institute you will have an opportunity to get hands‐on experience with APES labs and activities, plan your next year's program, review course content and the released exams, and review the free response questions from the 2017 exam. We will review textbooks and survey Internet resources throughout the week. You will be receiving several textbooks and reviewing several sample lab programs during the week. You will learn how to transform traditional labs into inquiry based labs. The main goal of this week is to help you develop a comprehensive and successful course.
Materials to bring with you
Laptop
School Academic Calendar
Current Syllabus, if teaching
Copy of textbook if you have one
Comfortable shoes and casual attire, no need to dress up . We go outside for labs
One lesson to share
One best practice to share
Light sweater/ sweatshirt in case you get cold
One sock for a lab
One bag of a soil sample (if possible) from your area (Soil labs)
Thanks you and looking forward to meeting everyone.
Nita Ganguly
Nividita Ganguly
Nivedita (Nita) Ganguly is a Clinical Associate Professor and the Master Teacher for Science in the VolsTeach Program in the Center for Enhancing Education in Math and Science at the University of Tennessee, Knoxville. Nita was the Department Chairperson of the Science Department (1995-2010) at Oak Ridge High School, Oak Ridge,TN where she taught AP Environmental Science, Genetics and Honors Biology. She has worked previously as a Research Scientist at the University of Tennessee-Knoxville; University of California-Irvine; and University of Nebraska-Lincoln.
During her tenure at ORHS she served as a Reader and a Table Leader for AP Environmental Science and was also a Member of the Test Development Committee. She was also the College Board Advisor the the AP Environmental Science Development Committee. She was a member of the Lab Vision Committee that was part of the Redesign for all AP science courses.
Nita is an endorsed College Board Consultant and conducts workshops and Summer Institutes at the National and International level in APES, AP Vertical Teams and the Learner centered Classroom. She is also a College Board National Leader. She was a co-author for both editions of the College Board Vertical Teams Guide in Science.
Nita has been recognized for her contribution to science education by being awarded the Presidential Medal for teaching Environmental Science and the Siemens Recognition Award for teaching AP Science.
Education : BS in Zoology, Masters in Cytogenetics, PhD in Genetics, MS in Curriculum and Education.
Description
New and experienced teachers are welcome to attend this 4-day institute. Designed to familiarize AP French teachers with the different components and rubrics of the AP French Language and Culture exam, this workshop will provide sample questions covering the three modes of communication – interpersonal, interpretive and presentational – that make up the exam. Participants will receive samples of students' responses for the May 2016 exam. The course will include authentic resources such as reading and listening material, music, videos and useful websites. Time will be devoted to methods to integrate authentic material and technology in the AP curriculum. The presenter will conduct the workshop entirely in French; participants, however, should feel free to express themselves in either French or English. You are encouraged to contact the presenter if you have any questions. (Francine Shirvani: cinette3@gmail.com)
Francine Shirvani
Francine Shirvani is a native speaker of French with over 40 years of experience teaching French. She was the recipient of a number of awards for teaching excellence at Head-Royce School in Oakland, Ca. She is an endorsed College Board Consultant and presents workshops for experienced and new teachers. For the past 20 years, she has been a College Board reader and table leader for the AP French Language exam. Ms. Shirvani has served as chair of the language department, was president of the Foreign Language Association of Northern California and was on the executive board of the American Association of Teachers of French. She holds a BA from the American University of Beirut, Lebanon, and a MA from Middlebury College.
Description
This course is designed to give inexperienced and experienced teachers the tools necessary to develop an Advanced Placement Comparative Government and Politics course in the public or private school setting. Instruction will provide the scope and sequence of this course as designed by the College Board committee; analyze proper textbook and supplementary materials; evaluate course examination requirements; and develop curriculum enrichments in facilitating a college level program. Students will also provide insight into their own educational experiences and speculate on advanced placement has affected their teacher development.
David LaShomb
Government and Politics-Comparative Session Presenter for Intermountain AP Summer Institute
Dave LaShomb has been involved with Advanced Placement since 1987, originally instructing AP Comparative Government and Politics; adding AP Psychology in 1994; and finally AP American Government in 2000. He has been a reader, table leader and question leader at the AP Government and Politics reading from 1995-2007. During this time he also became a member of the AP Test Development Committee in 2000, fulfilling a four year tenure finishing in 2004. After teaching for 29 years in Minnesota, he and his wife Marilyn moved to warmer climates in Las Vegas, Nevada where he taught at Advanced Technologies Academy. In 2010 he also began reading for AP Psychology, becoming a table leader in 2014. During the summer months he offers summer institutes for US and Comparative Government and Politics for the College Board's Western, Eastern, and Midwest regions.
Description
AP US Government and Politics participants will focus on the content and pedagogy necessary for developing an academically rigorous course. Discussions will include strategies for improving student success in critical reading, writing, and performance on the exam, as well as, the content necessary to create an engaging and successful course. This institute will be an active learning environment. A number of strategies will engage the attendees in demonstrations. Participants will survey political science models used at the college level to explain government. Samples of student work will be available to review. Topics include the following as set forth in the AP Course guide: Constitutional underpinnings, political behavior, political parties, elections, three branches of government, civil rights and civil liberties, development of critical thinking skills, document and data analysis, and writing skills. As we examine the course description for the current test, we will also introduce the changes that are proposed for the 2018 and identify how to move toward integration. During the institute, the group will examine classroom resources, textbooks, and online multi-media resources. Participants will develop one original lesson for each unit that they will share. Participants should bring Post-it notes or flags, highlighters, a jump drive, and possibly a digital copy of a best practices strategy or lesson to share during the institute. Interested parties may contact Mrs. Dumerer at dumererl@gmail.com for additional information.
Lori Dumerer
Government and Politics-US Session Presenter for Intermountain AP Summer Institute
Lori Dumerer teaches AP US Government and Politics, AP Macroeconomics, AP United States History, and on-level government and economics at RL Turner High School in Carrollton, TX and had served as AP Lead Social Studies for CFBISD for two years. She taught Pre-AP World History, and Pre-AP World Geography for nine years at North Dallas High School in Dallas, TX where she also served as Social Studies Department Chair. Additionally, she held the position of Dean of Faculty at Long Trail School in Dorset, Vermont. A curriculum writer and author, her articles have appeared in the state social studies journal. A College Board Trained Consultant in AP Government and Politics, she presents the Pre-AP: Advanced Topics for AP Vertical Teams in Social Studies-Developing Reading Habits, the Crafting the Historical Argument, and selected topics for both AP Government and Pre-AP topics at the numerous national AP conferences. Mrs. Dumerer holds a BA in Social Studies with a major in history and an MA in Social Studies and education from the University of Illinois at Champaign-Urbana, and an advanced certification from Southern Methodist University in Gifted and Talented Education. For the last 12 years, Mrs. Dumerer has served as an AP Government exam reader. She received the Texas Council of Social Studies Teacher of the Year Award for 2002, a 2008 State Department grant for work with teachers in the Republic of Georgia, the 1996 NEH Institute, the 2008 Goethe Institute Trans-Atlantic Outreach Program member and selection for Who's Who in America, Who's Who in the World in 2000, and Who's Who in American Education. In March of 2013, she presented at a major international schools' workshop and pre-conference in Buenos Aries, Argentina for the College Board. Most recently, she accepted the 2014 outstanding Teaching of the Humanities Award presented by Humanities Texas, the state affiliate of the national Endowment for the Humanities.
Dan Berry
Daniel Berry earned his bachelor's degrees in History and Political Science as well as a Master's Degree in Curriculum and Instruction at West Virginia University and a Master's Degree in Geography at Concord University. He has taught various subjects in Social Studies for the past thirty years including AP US Government and Politics and AP Human Geography. Serving as a College Board Consultant, he has conducted numerous one-day and two-day workshops and week-long summer institutes throughout the Midwestern, Western and Southern Regions. He has been an AP Human Geography exam reader, table leader and lead table leader since 2003. He has served on the AP Human Geography Test and Curriculum Development Committee (2009-2014). Other responsibilities include serving on the West Virginia Geographic Alliance Steering Committee, West Virginia Center for Professional Development Board of Directors, and the West Virginia Advanced Placement Leadership Committee.
Description
The first new AP Physics 1 exam was given May 2015, replacing the old AP Physics B exam. We AP physics teachers prepared ourselves to start teaching the new course starting around August 2014. We have now taught the course for several years, and have the feedback of the exams to guide us, letting us know if we've been fortunate with our focus, pacing and emphasis. In addition to the usual goals of a Summer Workshop in AP Physics, we'll emphasize skills that, though not new to most AP Physics teachers, will be exercised more by the new course, such as an increased focus on inquiry-based learning, more writing (claim, evidence, reasoning…), new styles of questions, and an expanded lab component. We'll learn a lot from each other too; our different approaches, lessons learned, and how we'll change for the future.
Martin Kirby
Physics 1 Session Presenter for Intermountain AP Summer Institute
Martin Kirby earned his B.Sc. in physics and education at London University, taught physics in England for eight years, came to the US and has been teaching for the past 32 years at Hart High School (2,300 students) near Los Angeles. He has been an AP* reader, table leader or question leader for over 18 years, a member of the AP* Physics Exam Development Committee for eight years, a College Board consultant for 22 years, a presenter of one week summer workshops for 19 years. He teaches 4 AP Physics P1 classes and 1 AP Physics C (Mech and E+M).
Like many other physics teachers, he has an average class size of 40, a budget of $800, and (until recently) a windowless 1960s classroom built for 24 students: thus he is familiar with 'real world' problems of real physics teachers. To relax he rides a bike, avoids work and plays violin.
Description
This workshop will introduce the participants to the AP Spanish Language and Culture Curriculum Framework that went into effect September 2013. The changes to the examination have brought exciting and dynamic updates to the teaching of the course. Participants will examine the themes as well as the recommended contexts and overarching essential questions for exploring each theme that drive the AP Language and Culture course.
Participants will examine the three modes of communication – interpersonal, interpretive and presentational – and how they are reflected in the course and the examination.
Scoring guidelines and student samples will be used for participants to become familiar with the scoring of the free response sections of the exam.
The institute will also address issues of curriculum and of Pre-AP courses. Time will be devoted to sample syllabi for preparing your course as well as and for designing units of instruction. Participants will engage in a discussion of textbooks, websites, and resources available for the AP course. Participants are encouraged to bring copies of one or two successful activities to share.
You are invited to contact the presenter with any questions you may have. lgbaskin@aol.com
Louis Baskinger
Louis Baskinger served as chairman of the World Languages Department of the New Hartford School District, New Hartford, New York where he taught Spanish for 30 years. He is a former adjunct lecturer in Spanish of Hamilton and Utica Colleges. Lou is currently an adjunct at HCCC (Herkimer College). During the past eighteen years, he has been a reader, table leader, and question leader at the AP Spanish Reading.
Lou is a consultant for the College Board and has presented many workshops and summer institutes. He has written articles that have appeared in College Board publications. Lou also is a former president of NYSAFLT (The New York State Association of Foreign Language Teachers). During his career, the Rotary, Utica College and his local television station have recognized Lou for excellence in teaching. He has presented numerous times at ACTFL, NECTFL, APAC and NYSAFLT, his state organization.
Maria Vasquez
Maria Vazquez currently teaches AP Spanish Language, Spanish IV and Arte y Cultura at Millburn High School in New Jersey. She studied in Madrid and Salamanca, and is a graduate of Seton Hall University, with degrees in Spanish Language & Literature and Secondary Education. Maria has been a College Board national consultant for over 25 years. She has conducted over 100 AP workshops and summer institutes throughout the United States and in Europe. Maria received the Advanced Placement Recognition Award from the Middle States Regional office. She served as Co-Chair on the AP Spanish Language Test Development Committee, and currently is the Assistant Chief Reader at the AP Reading.
Description
This course will focus on effective strategies for helping students master the essential concepts and methods of AP Statistics. We will examine resources for classroom instruction, assessment, technology, projects, and AP exam preparation. In addition, we will discuss issues related to planning and administering the course, such as student selection, pacing, and the AP Audit.
Daren Starnes
Statistics Session Presenter for Intermountain AP Summer Institute
Daren Starnes is Mathematics Department Chair and holds the Robert S. and Christina Seix Dow Distinguished Master Teacher Chair in Mathematics at The Lawrenceville School near Princeton, New Jersey. He is lead author of the best-selling high school statistics texts The Practice of Statistics and Statistics and Probability with Applications and coauthor (with Roxy Peck) of Making Sense of Statistical Studies, a capstone module in statistical thinking for high school students. Daren is a frequent speaker at local, state, regional, national, and international conferences. He has led about 100 one-day and weeklong AP Statistics institutes for new and experienced teachers, and he has been a reader, table leader, and question leader for the AP Statistics exam since 1998. Daren has just completed a 3-year term as head judge for the American Statistical Association's Project Competition.
Description
Welcome to AP Studio Art at Intermountain AP Summer Institute. Please bring a sample lesson of a successful project to share with other participants. This project should be one, which you have done with your students and can show visual samples.
Doug Allen
Studio Art Session Presenter for Intermountain AP Summer Institute
Doug was the Fine Arts Consultant for Jordan School District for six years before his current position with the Brigham Young University Arts Partnership. His background is in visual arts and he holds a Bachelors and Master's from the University of Utah. He has taught studio art courses at BYU for many years and continues to do so and he has also been a high school art teacher. He is a Reader for the National AP Studio Art Portfolios that awards college credit to high school students and he is a presenter for workshops and Institutes for the College Board to assist AP teachers in helping their students. Doug has been involved with Professional Development for teachers for years and has a desired to provide enrichment opportunities that strengthen their ability to help students.
Matt Tassinari
United States History Session Presenter for Intermountain AP Summer Institute
Matt Tassinari earned his BA in Sociology from CSUN in 1988, Social Science teaching credential from CSUN in 1991, and Master in Teaching (MAT) degree from Grand Canyon University in 2001. Matt currently teaches at Palmdale High School (21 years) and serves as the Social Science Department Chair and an Academic Instructional Coach. He has been an exam reader for 16 years (9 years as a table leader and 2 years as a sample selector) for the AP* US History exam and has been a College Board consultant for 12 years. He has presented all over the United States from Advanced Placement US History to Career Technical Education strategies. Furthermore, Matt was honored with the 2009 High School Teacher of the Year Award from the California Council for the Social Studies.
Bill Strickland
World History Session Presenter for Intermountain AP Summer Institute
Bill Strickland teaches at East Grand Rapids High school in East Grand Rapids, Michigan. He has served as a Reader, Table Leader, and Sample Selector at the AP World History Reading since 2004, and has led numerous AP World History workshops and Summer Institutes. He also served on the Curriculum Development and Assessment Committee that defined the "Redesigned" AP World History course that took effect in 2012.
Utah Teachers
Teachers outside of Utah
Register for Intermountain AP Summer Institute
Intermountain AP Summer Institute
07/11/2017 - 07/14/2017
This Intermountain AP Summer Institute has been endorsed by
Davis School District is proud to sponsor Utah's only Advanced Placement Summer Institute. Join us from Tuesday, July 11 to Friday, July 14 for instruction from expert presenters from across the United States.
Schedule
Location
Daily Menu
Breakfast and lunch are served daily with an ice cream treat in the afternoon. Our caterers try to be conscious of those with special dietary considerations and provide enough choice in the menu to accommodate most people. Please consult the full menu so that you can plan for any adaptations you may need to make in case our menu will not work for you.
Accomodations
Hampton Inn & Suites in Farmington, Utah is offering a special rate for institute attendees. Inform them that you are part of the Intermountain AP Summer Institute when you book your room. The hotel website can be found here. | 677.169 | 1 |
Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting with something students know and abstracting from there is more natural - and ultimately more effective. Authors Anderson and Feil developed "A First Course in Abstract Algebra: Rings, Groups and Fields" based upon that conviction. The text begins with ring theory, building upon students' familiarity with integers and polynomials. Later, when students have become more experienced, it introduces groups.The last section of the book develops Galois Theory with the goal of showing the impossibility of solving the quintic with radicals. Each section of the book ends with a 'Section in a Nutshell' synopsis of important definitions and theorems. Each chapter includes 'Quick Exercises' that reinforce the topic addressed and are designed to be worked as the text is read. Problem sets at the end of each chapter begin with 'Warm-Up Exercises' that test fundamental comprehension, followed by regular exercises, both computational and 'supply the proof' problems. A Hints and Answers section is provided at the end of the book. As stated in the title, this book is designed for a first course - either one or two semesters in abstract algebra. It requires only a typical calculus sequence as a prerequisite and does not assume any familiarity with linear algebra or complex numbers. ...Continua Nascondi | 677.169 | 1 |
A text which students can actually READ and use to learn intermediate
algebra — and which instructors can use as a genuinely supportive
framework from which to teach algebra — Intermediate Algebra
with Applications features an easy-to-read presentation, an emphasis
on problem-solving skills, a wealth of well-chosen, illustrative examples,
and uniquely structured problem sets.
covers linear equations and inequalities early— and
integrates them throughout the text where appropriate. (pp. 125)
explores graphing and functions earlier
— so that students will be more adequately prepared for
the next course. (pp. 352)
places a greater emphasis on problem solving
and mathematical modeling of real-world applications.
devotes an entire section to the development of
problem solving skills (pp. 157)
includes "You Decide" problems at the end
of each chapter. These open-ended, extended real-world applications
help students develop critical thinking and writing skills. Because
these problems have no one correct answer, students are able to hone
their problem solving and decision making skills by deciding then
supporting their answer with specific evidence (pp. 123)
provides Calculator boxes — with
help for the use of both scientific and graphing calculators (pp. 64)
begins each chapter with "Connections" —
an introductory paragraph which puts the upcoming material in context
with other chapters, other disciplines, math history and the real
world (pp. 52)
features problem sets uniquely organized into discrete
levels of understanding:
In Your Own Words — test conceptual understanding
by requiring a written answer (pp. 96)
highlights "key" problems in red throughout
the exercise sets. These are considered to be essential problems which,
if assigned, will cover all the section learning objectives. They
can be used in class examples, problem assignments, or for review.
Answers are provided at the end of the text. (pp. 98)
features "Let's Not Forget" problems at the
end of every chapter review problem set. These exercises are cumulative
and require students to recall topics covered in previous sections
and chapters. (pp. 122)
provides "Be Careful" annotations in the margins
— to prominently point out common student errors. (pp. 110)
concludes chapters with a glossary, review of key concepts,
and "Checkups" — worked examples stated as problems
with specific references. (pp. 119)
(NOTE: Each chapter concludes with a Chapter Summary, Review Problems, and a Chapter Test.)
Systems of equations in two variables. Systems as models for
applications. Linear systems of equations in more than two variables. Linear
inequalities in two variables. Systems of linear inequalities in two
variables. Determinants and Cramer's Rule (optional). Matrix methods
(optional). | 677.169 | 1 |
For this review, my son received a complementary copy of No-Nonsense Algebra from Math Essentials.
What is No-Nonsense Algebra from Math Essentials?
If you are like me, homeschool math at the high school level can be intimidating. So let me introduce you to No-Nonsense Algebra from Math Essentials.
No-Nonsense Algebra is a flexible curriculum that gives students a strong understanding of essential math skills! It can be used as a full math curriculum, as a supplemental resource, or as a review. It can be tweaked to fit your family's needs. I love this flexibility!
Each lesson contains short and concise directions that maximize a student's learning in a short amount of time. No fluff or distractions that other curriculums have. Success can be measured and seen, which develops self-esteem in students. Reviews are built into each lesson as each one builds on the lessons before.
What is included in No-Nonsense Algebra from Math Essentials?
The non-consumable textbook and online videos together provided the instruction we needed.
Rick Fisher teaches students to learn and master essential math skills using clear instruction techniques on the videos. He is an award-winning math instructor with over 31 years experience.
Let's spend some time on the videos. Mr. Fisher presents his information as if students were looking at a white board. The problems are written out in black marker, then Mr. Fisher teaches and demonstrates with a blue marker. He shows how to solve an example, and then reviews the steps. This pattern repeats several times as Mr. Fisher works through several examples, each one increasing in difficulty.
How did our family use No-Nonsense Algebra from Math Essentials?
Josh, my 8th grader, is using No-Nonsense Algebra as his main math curriculum for Algebra I.
He used No-Nonsense Algebra about three days each week. In the review period, he completed the first two chapters and is solidly into the third. Since he has already completed pre-algebra, he was able to often complete more than one lesson in a sitting.
What does a lesson in No-Nonsense Algebra from Math Essentials look like?
Josh began each lesson by reading through the introduction in the textbook. I appreciated that Mr. Fisher gives his goal for the lesson as well as Helpful Hints to remember throughout the lesson.
Josh then watches the online video of Mr. Fisher's instruction. We started a math journal for Josh because he takes notes from the videos and writes the examples down. He solves them along with Mr. Fisher.
Next, back for more examples in the textbook. These go over the steps to solve the problem again. This benefits both auditory and visual learners. Taking notes keep the kinestic learner engaged.
Josh then copies out the exercises into his math notebook and completes them there. There are not too many problems for him to complete. This encourages him to finish each one carefully. Currently he is studying the point-slope forms to write out the equation of a line.
The results are great! Josh is learning his Algebra well and mastering the concepts. He is completing a review each lesson, which keeps him fresh about previous material covered. We are not spending hours and hours on math. Mr. Fisher's instructions are clear and to the point. No-Nonsense Algebra is a great math curriculum!
Are there more great products Math Essentials?
By visiting you can see more of the resources that Math Essentials provides. Starting for 4th grade, you can find Mastering Essential Math Skills, Math Survival Guides, geometry, fractions, decimals and percents, and much more.
Where can you find this and other resources Math Essentials?
You can find more information about Math Essentials | 677.169 | 1 |
Math 160: Study Guide - Chapters 9-10
Solve a 2×2 non-strictly determined game. Show all work. Know the
formulas from section 10.2.
Take an Absorbing Markov Chain story problem and create a transition diagram and the transition matrix. Be sure to put the matrix into standard form.
Take a Markov chain story problem and create a transition matrix and initial state matrix.
Markov chain problem. Some state matrices are given, provide an interpretation in the context of the story.
Know how to adjust a non-strictly determined game before forming linear programming problems. The graph of a feasible region, with the coordinates of the corner points, is shown. Identify whether the feasible region is for the row player or column player and determine where the optimal solution occurs.
Setup a game problem and then use the calculator to find the solution.
Look at problem 10.4.9-12.
A final tableau from a game problem is given. Give the optimal row and column
strategies and the value of the game.
Find the solution to a game using the calculator. Find the payoffs for the row
player under the expected value, maximax, maximin, and minimax criteria. Find the value if both
players play randomly (all choices are not equally likely - you need to have
a concept of what a relative frequency is).
Absorbing Markov chain. Find probabilities of a certain transition, how many transitions should be expected before reaching an absorbing state and the long term probability of reaching an absorbing state. Use the information on the take home portion of the exam to answer this question.
Absorbing Markov chain. The fundamental matrix F and the long term probabilities FR are given. Use them to answer questions. Similar to question 12 except that I've given you the matrices and on question 12, you had to find them yourself on the take-home exam.
Notes
Problems 1-8 must be answered without a calculator. The game
program on the calculator can be used for the rest of the test whenever you
need to find an optimal strategy.
Problems 9-13 should make full use of the calculator programs and other capabilities.
The solution to a game consists of the optimal row strategy P*, the
optimal column strategy Q*, and the value of the game v. Make sure you give
all three parts, not just the value of the game.
Move swiftly through the first portion of the test.
Question 12 is 14 points on the actual test (7 parts, 2 points each) and 8 points for the take home question. | 677.169 | 1 |
Geometry Basics
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Product Description
(Click on sample screen to enlarge screen shot.)
Geometry Basics is an introductory course in the basic principles of Geometry. The topics taught here are covered in further depth in the High School Geometry Series and prepare the student for success in high school geometry classes. | 677.169 | 1 |
This textbook presents a collection of interesting and sometimes original exercises for motivated students in mathematics.
Written in the same spirit as Volume 1, this second volume of Mathematical Tapas includes carefully selected problems at the intersection between undergraduate and graduate level. Hints, answers and (sometimes) comments are presented alongside the 222 "tapas" as well as 8 conjectures or open problems. Topics covered include metric, normed, Banach, inner-product and Hilbert spaces; differential calculus; integration; matrices; convexity; and optimization or variational problems.
Suitable for advanced undergraduate and graduate students in mathematics, this book aims to sharpen the reader's mathematical problem solving abilities.
Jean-Baptiste Hiriart-Urruty has substantial experience in teaching mathematics at various levels of higher education. He has written several textbooks and exercise books in English and French, including the first volume of Mathematical Tapas (Springer, 2016). The present volume is the fourth published by Springer. | 677.169 | 1 |
EE3220-specific course policies
You will need the use of a calculator capable of performing complex number arithmetic and simultaneous equation solution
of equations with complex coefficients, and with the ability to perform symbolic substitutions (such as a TI-89 or TI-89 Titanium).
Show all work, and work neatly, on your lab, quiz, and exam problems - a simple numeric answer is generally not sufficient.
No credit given for work your professor cannot easily read or readily follow. | 677.169 | 1 |
Key Course Information
This stimulating level 2 qualification is for anyone with a good grounding in maths who needs a GCSE for employment, further study, teacher training or personal development. Topics covered include graphs and geometry, statistics and algebra. If you feel confident about your maths skills and want a qualification then this is the course for you. The course is suitable for those who have never taken GCSE before as well as those who have previously achieved a grade D. You will be required to take a test to make sure that your skills are right for a successful year's study at this level.
GCSE English and Maths courses are free for all EU citizens who do not already have a GCSE grade A*-C
NOT QUITE RIGHT FOR YOU?
These similar courses may be more suited to your skills and interests... | 677.169 | 1 |
The WebCT Bulletin Board is the easiest way to ask a math question outside
of class and office hours.
We prefer that you use office hours since
it is easier to discuss material in person, but if you can not make
them, then the newsgroup is a great alternative.
Required Resources
Burton, David M. The History of Mathematics (Fifth Edition), McGraw
Hill, New York, 2003. This is a great reference on the
history of math and should be a part of your personal math library.
You'll find it to be an excellent resource.
Dunham, William, Journey through Genius: The Great Theorems
of Mathematics, Wiley, New York, 1990. A A examine
the history of algebra, geometry, number theory, calculus,
differential equations, linear algebra, statistics,
and other areas of mathematics
and learn about the culturally diverse mathematicians who worked in these
areas. Students will be expected to complete projects to illustrate their
understanding of the theoretical ideas in these areas and to communicate
these ideas to a lower level audience. These projects could include research
reports, classroom activities, presentations, or problem sets. The course
is 3 credit hours and will meet for all 15 weeks. As this course
is cross-listed with the 2-hour course MAT 3010, there will be days where
only graduate students will attend. On these days, we will look at
graduate level material
that will be above the expectation of the typical undergraduate.
On the days where both undergraduate students and graduate students will
attend, graduate students will be expected to go more deeply into the
mathematics and will have additional assignments and different tests
to reflect the difference in level.
Catalog Description
The history and development of mathematical thought and theory from ancient
to modern times, with particular attention to the history of geometry,
algebra, calculus, differential equations, linear algebra, and statistics,
and to the persons who made significant contributions to these areas of
mathematics.
Grades
Participation in Classroom Activities 10% Regular classes will consist
of discussions, activities, problem solving, and a little bit of standard
lecturing. As such, students will learn little from this course if they
don't attend or actively engage the material. Therefore, you are expected
to attend all classes, complete homework, critically read the literature,
and actively participate in the class discussions and lab exercises.
Not keeping up with or contributing to the class will result in a lower
participation grade.
Projects 35% Students will be expected to complete projects appropriate
for their background and major. These projects could include research reports,
classroom activity sheets, presentations, or problem sets. Work may be
turned in before, but never after the due date with
the exception of one emergency late project over the course of the
semester which must be turn in within one week from the original due
date. Some projects may occur during the last
week of classes.
Tests 30% Tests are designed to reinforce readings and course material.
Tests may be oral, written or on WebCT. No make-ups allowed (may occur
during the last week of classes).
Final Project Poster and Web Project 25% will occur on Tuesday 5/7/03
from 9-11:30. No make-ups allowed.
Extra credit There will extra credit opportunities during the semester
for which points will accumulate. When final grades are given, extra credit
points are taken into account in the determination of -, nothing, or +
attached to a letter grade.
Other Policies
Plan to spend an average of 2-3 hours outside of class for each hour
in class on this course. You are responsible for all material covered
and all announcements and assignments made at each class, whether you are
present or not. You are also responsible for announcements made on the
web pages, so check them often.
Asking questions, and explaining things to others, in or out of class,
is one of the best ways to improve your understanding of the material.
We will promote an environment in which everyone feels comfortable asking
questions, making mistakes, offering good guesses and ideas, and is respectful
to one another. Turn in projects or prepare to present problems even if
it they are not complete, even if only to say, "I do not understand such
and such" or "I am stuck here." Be as specific as possible. When writing
up work, be sure to give acknowledgment where it is due. Submitting someone
else's work as your own (PLAGIARISM) is a serious violation of the University's
Academic Out in
the real world, this is important, since no matter what job you have, you
will be expected to seek out information and answers to new topics you
have not seen before. This may feel uncomfortable and frustrating. We understand
this and want to help you through the process. It helps to remember that
there are no mathematical dead-ends! Each time we get stuck, it teaches
us something about the problem we are working on, and leads us to a deeper
understanding of the mathematics.
In the real world though, you are not expected to face your work
alone. You will be allowed to talk to other people and you may even be
expected to work with other people. In this class, you are also not expected
to face your work alone. We are always happy to help you in class, during
office hours (or by appointment), or on the WebCT bulletin board, and will
try to give you hints and direction. At times though, to encourage the
exploration process, we may direct you to rethink a problem and come back
to discuss it later. It is important to not only understand the correct
solution and why it works, but also to understand why other potential solutions
don't work. This struggling with different techniques is imperative for
your deep understanding of the material. | 677.169 | 1 |
as we all know that most of the students who join coaching
come and query about the maths faculty, 9 out of every 10 students that
come and take coaching from us is always sceptical about Maths and their
doubt is genuine because this exam depends a lot on maths and this is
also true that the toppers of this exam actually very very good in maths.
Maths is been comprehensively divided into 6 sub parts starting from
algebra which would include your basic application basic surds algebra
formulas LCM HCF simple calculations and more moving onto which starts
with ratio followed by percentage then profit and loss then discount
then speed train boats then work and time partnership and finally simple
interest compound interest. After quantitative aptitude the next most
important and typically considered to be most difficult topic of trigonometry
comes which would include of basically four chapters that is trigonometric
ratios trigonometric identities trigonometric application height and
distance and the last chapter of degree and radian and if you believe
the expert teachers they say that this topic is actually the most scoring
part in maths and is wrongly considered and left by the students preparing
for SSC CGL examination.
After trigonometry it comes the chance of geometry with starts with
chapter of polygons end of line and angles then moves onto the properties
of triangles which includes similarity and congruence e followed by
the four major points in a triangle that is orthocentre circumcentre
incentre and centroid. Geometric would also include the most important
chapter of circle and its properties from which good number of questions
always come in the examination in fact none of the chapters is of less
weight age and question comes from each and every chapter mentioned
above. Love not the least comes the important topic of Aryan mensuration
which most of the students think that it is about learning and mugging
up the formulas however experts of maths say that this chapter is not
about the formulas it is about the application of the formulas in a
much faster and efficient way. Mensuration is again divided into two
parts 1 is the basic mensuration which include your cube cuboid cone
cylinder hollow cylinder sphere hemisphere and of the advancement sureshan
which includes your pyramid and prism structures. Last chapter is of
data interpretation which is not given much of a weight age in the exam
only one question comes which might have 3-4 question based on it.
So after discussing the syllabus letters come to the most important
part of this blog that is how to prepare for math examination the main
part of the Math examination lies in trigonometry and geometry also
in mensuration because this will contribute to about 60% of the course
rest 40% is about algebra quantitative aptitude and graphs.
It is also seen that trigonometry is more about the menu pollutions
and bit of tricks rather than simply making of the identities as far
as the identities are concerned only and only one identity is in the
course of the students that is sin squared theta + cos squared theta
is equal to 1 and rest of all the identities are actually in the class
11th and 12th and does not come in the SSC CGL examination. It is also
true that most of the questions that come from trigonometry are from
these two chapters that is trigonometric ratios and trigonometric identities
which is very easy to do in less than 30 seconds if the student has
graft the right track and the shortcut to do the question.
Experts of SSC CGL examination also believe that mensuration either
it be the basic Mensuration of Advanced mansuration is also very easy
once you understand the basic concept of how the formulas are coming
and you need to focus and practice on the numerical application of the
mensuration formulas. We have also seen that in the past years SSC CGL
exam has been combining a lot of questions from mensuration with the
topics like ratio and percentage from quantitative aptitude so as to
increase the complexity of the question and to check the understanding
level of the students about the two topics from just one question. So
if a student is weak in ratio of percentage but is good at mensuration
he might not be able to do the question because the formula of the mensuration
will be clubbed up with the chapters of percentage and ratio.
We add Excel SSC coaching classes try our best to teach students about
the shortest possible methods and tricks to solve all the question of
Maths does in case a student has any doubt about the SSC CGL maths exam
preparation he can walk in freely to any of UR centres and can't take
the expert guidance from the teachers themselves ok and discussed with
the counselors about the SSC CGL exam preparation. | 677.169 | 1 |
Tommie Fjelstad, NE Patricia Blackwell, NJ
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Study Guide - Chapter 8
In-Class Portion - 70 points
Know the three elementary row operations. Be able to list them.
Know the four requirements of being in reduced row-echelon form. Be able to list them.
You are given two matrices, X which is an axb matrix and Y which is a cxd matrix. Know the
relationships that must exist between a, b, c, and d in order to be able to add X and Y, multiple
X and Y, find the determinant of X, find the inverse of X. Also know what the determinant
must be (or not be) in order for an inverse to exist. Four parts.
True or False, three parts. Properties of Matrix multiplication. English sentences given here:
Example: "Matrix multiplication is associative".
Given two 2x2 matrices A and B. Find: A+B, Det A, AB, A inverse, 3A-2B, B squared.
Given a function f, evaluate f(A). Look at problems 33 - 36 in section 8.2 for the last part.
Solve two matrix equations for X. Examples: AX=B, AX + B = CX + D
Solve two 3x3 systems of linear equations using Gauss-Jordan elimination. Gauss-Jordan
elimination must be used. Pivoting is optional but encouraged. One of the systems is very
easy (lot's of zero's).
Find the inverse of a 3x3 matrix.
Evaluate a 4x4 determinant (lots of zeros)
Know the effect each of the three elementary row operations has on a determinant. See table
at bottom of page 522.
Four parts. Be able to simply some algebraic expressions involving matrices. In particular,
look at prage 495, steps involved in solving AX=B on page 505, and a binomial squared
(Warning! Matrix Multiplication is NOT commutative).
Take home portion - 30 points
Due: Day of regular exam
8.1.64
8.2.44
8.4.28 - Give your answer as a 3x3 matrix with each element replaced by its cofactor. Then go
ahead and find the determinant.
8.4.28 - Find the inverse of the matrix by dividing the adjoint of the matrix by the determinant.
The adjoint is the transpose of the matrix of cofactors (what you found in #3). | 677.169 | 1 |
Real Analysis
Synopsis
Real Analysis by Frank Morgan
This book is written by award-winning author, Frank Morgan. It offers a simple and sophisticated point of view, reflecting Morgan's insightful teaching, lecturing, and writing style. Intended for undergraduates studying real analysis, this book builds the theory behind calculus directly from the basic concepts of real numbers, limits, and open and closed sets in $\mathbb{R}^n$. It gives the three characterizations of continuity: via epsilon-delta, sequences, and open sets. It gives the three characterizations of compactness: as 'closed and bounded', via sequences, and via open covers.Topics include Fourier series, the Gamma function, metric spaces, and Ascoli's Theorem. This concise text not only provides efficient proofs, but also shows students how to derive them. The excellent exercises are accompanied by select solutions. Ideally suited as an undergraduate textbook, this complete book on real analysis will fit comfortably into one semester. Frank Morgan received the first Haimo Award for distinguished college teaching from the Mathematical Association of America. He has also garnered top teaching awards from Rice University (Houston, TX) and MIT (Cambridge, MA). | 677.169 | 1 |
A student's guide to the study, practice, and tools of by Bindner D., Erickson M.
A Student's consultant to the learn, perform, and instruments of contemporary arithmetic offers an obtainable advent to the realm of arithmetic. It bargains the right way to research and write arithmetic in addition to the right way to use a number of mathematical instruments, from LaTeX and Beamer to Mathematica® and Maple™ to MATLAB® and R. in addition to a colour insert, the textual content comprises routines and demanding situations to stimulate creativity and enhance challenge fixing talents. the 1st part of the booklet covers matters concerning learning arithmetic. The authors clarify tips to write mathematical proofs and papers, how one can practice mathematical learn, and the way to offer mathematical displays. the second one part specializes in using mathematical instruments for mathematical typesetting, producing information, discovering styles, and lots more and plenty extra. The textual content describes the best way to compose a LaTeX dossier, supply a presentation utilizing Beamer, create mathematical diagrams, use machine algebra platforms, and demonstrate rules on an internet web page. The authors hide either renowned advertisement software program courses and loose and open resource software program, comparable to Linux and R. exhibiting the right way to use know-how to appreciate arithmetic, this consultant helps scholars on their technique to turning into specialist mathematicians. For starting arithmetic scholars, it is helping them learn for checks and write papers. As time progresses, the e-book aids them in acting complicated actions, akin to desktop programming, typesetting, and study.
Smooth construction thoughts could be regarded as a vital box of economics these days. they assist to offer precious insights and therefore supply very important aggressive merits. there's a extensive number of new methods to creation making plans and keep watch over (PPC), Just-in-Time (JIT), versatile production platforms (FMS), versatile Automation (FA), computerized Guided automobile platforms (AGVS), overall qc (TQC), and desktop built-in production (CIM), all of that are vital handle the categorical organ response to penicillin and the issues of the gastro-intestinal tract after ingestion of chloramphenicol.
Site-specific endonucleases create double-strand breaks in the genome and will be special to actually any genetic mutation. including a fix template, a correction of the faulty locus turns into attainable. This ebook deals perception into the trendy instruments of genome modifying, their hurdles and their large power.
Extra resources for A student's guide to the study, practice, and tools of modern mathematics
Example text
For example, you may find books containing original papers in Calculus. • When doing homework assignments, and any other papers, pay attention to all aspects of your writing. It is important to write mathematics well, because someone has to read what you write. There is an ulterior motive too: Someday, you may wish to ask an instructor for a letter of reference. Students who write well make a positive impression and it's a pleasure to give recommendations for them. • Become a math tutor, grader, or teaching assistant (TA).
8. What do Tom Lehrer, Sasha, and Jonathan Coulton have in common? 9. In the film Starship Troopers, what are the three greatest contributions of humans said to be? 54 8 A Mathematical Scavenger Hunt 10. Why do mathematicians and computer scientists confuse Christmas with Halloween? Hint: Think about the dates. 11. A student of mathematical physics is walking down the street when a safe falls out of a building onto his head. Although dazed from the impact, the student claims that he was fortunate.
How would you narrow the search? 10. Use MathSciNet to look up Ivan Niven's article giving a proof that π is irrational. Find other articles that cite this article. Look up the same article in JSTOR. How many works does the article cite? Chapter 8 A Mathematical Scavenger Hunt This is a scavenger hunt, not a quiz. You can use books and the Web to find answers to the following questions. Remember the Web resources listed in Chapter 7. We hope that thinking about these questions will increase your awareness and enjoyment of the many facets of mathematics. | 677.169 | 1 |
It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams!
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This is a short, easy-to-use introduction to SCILAB, a comprehensive software system. It contains brief explanations of Scilab commands, programming and graphing capabilities. This book is intended for beginning and experienced science and mathematics students. Coverage includes Scilab commands used in courses that involve calculus, linear algebra, differential equations, graphics and more.
The book provides an introduction to the basics of Scilab and an overview of some of the (MANY) features that Scilab offers. It assumes a Scilab version earlier than 5.4, so there are a few syntax updates which you have to discover and correct. The general format is to present a problem and then provide a solution in Scilab code. Herein lies its limitation -- there is no discussion of *why* certain formatting statements are used, or what their particular features are. Poor code documentation is a cardinal sin in programming.
This book is an introduction to the mathematical power of Scilab. It is not a top down book which leads you, easily, from a conceptual view through the mathematical steps to a Scilab solution. I read the book with a heavy dose of Wikipedia to help me fill in the math, which, over the years, I had forgotten. | 677.169 | 1 |
These algebra-based courses (often called College Physics) form a two-semester sequence that covers the traditional physics topics of: 111 and PHY 112 are typically taken by students who plan to further their education in fields including science, medicine, computer information systems.
The prerequisite for PHY 111 is College Algebra (MAT 121). PHY 111 is a prerequisite for PHY 112.
Solving physics problems is emphasized in PHY 111 and PHY 112. An important goal of these courses is to improve problem-solving skills. As such, students need to possess good algebra and problem-solving skills.
The calculus-based courses (often called Physics for Scientists and Engineers) form a two-semester sequence that covers the traditional physics topics of 211 and PHY 212 are typically taken by students who plan to further their education in science, engineering or computer science.
The prerequisites for PHY 211 are College Algebra (MAT 121) and Trigonometry (MAT 122). Students must have taken Calculus I (MAT 201). PHY 211 is a prerequisite for PHY 212.
PHY 211 and PHY 212 are oriented to solving physics problems. Students need to possess strong algebra, trigonometry and problem-solving skills. The expectations of mathematical and problem-solving ability are higher than those for Algebra-based Physics courses. A goal in these courses is to improve problem-solving skills. | 677.169 | 1 |
Now in its seventh edition, Basic Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for introductory level engineering courses. This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae, multiple choice tests, and full solutions for all 1,600 further questions.
About the Author
John Bird, BSc (Hons), CEng, CMath, CSci, FIMA, FIET, FCollT, is the former Head of Applied Electronics in the Faculty of Technology at Highbury College, Portsmouth, UK. More recently, he has combined freelance lecturing at the University of Portsmouth with examiner responsibilities for Advanced Mathematics with City and Guilds, and examining for the International Baccalaureate Organisation. He is the author of some 130 textbooks on engineering and mathematical subjects with worldwide sales of over one million copies. He is a chartered engineer, a chartered mathematician, a chartered scientist and a Fellow of three professional institutions, and is currently lecturing at the Defence School of Marine and Air Engineering in the Defence College of Technical Training at HMS Sultan, Gosport, Hampshire, UK.
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Synopsis
This updated and refreshed version of CGP's bestselling Revision Guide is the ideal companion to GCSE Maths - it even includes a free online edition that can be used wherever you have internet access. Every topic from the Higher Level OCR A & B courses is explained in a concise, friendly style, with a sprinkling of CGP humour to keep things interesting. Grade information is included to show the difficulty level of each topic, and there are summary questions at the bottom of each page to test you on the important skills. And finally, a unique code is printed in the book that gives you access to the free online digital version (which also includes fully worked answers to all the test questions in the book | 677.169 | 1 |
Hi! We just started discussing a new chapter in math about mathematical poems of trigonometry and I did pretty well for most assignments we got but the latest one my professor gave complicated so I'd appreciate if someone will assist me to understand it! It's a problem solving homework my math teacher gave out this day and it's due next week and I tried solving it but to no avail . I can't finish it easily unlike the other homeworks . I had no trouble answering my past homeworks but this particular homework with specific topic of matrices gives me a hard time just figuring out how to start . I'm desperately in need of help. I'll really be grateful if somebody help me in discussing the steps and how to solve it in a organized and clear way.
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Comments Off on A Beginner's Guide to Discrete Mathematics by W.D. Wallis
By W.D. Wallis
Wallis's e-book on discrete arithmetic is a source for an introductory path in a subject matter primary to either arithmetic and machine technological know-how, a path that's anticipated not just to hide sure particular themes but additionally to introduce scholars to special modes of concept particular to every self-discipline . . . Lower-division undergraduates via graduate scholars. —Choice studies (Review of the 1st Edition)
Very accurately entitled as a 'beginner's guide', this textbook provides itself because the first publicity to discrete arithmetic and rigorous facts for the maths or computing device technology pupil. —Zentralblatt Math (Review of the 1st Edition)
This moment variation of A Beginner's advisor to Discrete arithmetic offers a close advisor to discrete arithmetic and its courting to different mathematical topics together with set conception, chance, cryptography, graph conception, and quantity idea. This textbook has a noticeably utilized orientation and explores numerous functions. Key good points of the second one variation: * contains a new bankruptcy at the concept of balloting in addition to various new examples and workouts through the e-book * Introduces features, vectors, matrices, quantity structures, medical notations, and the illustration of numbers in desktops * offers examples which then lead into effortless perform difficulties during the textual content and whole workout on the finish of every bankruptcy * complete ideas for perform difficulties are supplied on the finish of the book
This textual content is meant for undergraduates in arithmetic and desktop technology, notwithstanding, featured exact issues and functions can also curiosity graduate students.
Social community research, which makes a speciality of relationships between social entities, is used broadly within the social and behavioral sciences, in addition to in economics, advertising, and business engineering. Social community research: equipment and purposes studies and discusses tools for the research of social networks with a spotlight on purposes of those the way to many significant examples.
Instruction manual of Product Graphs, moment variation examines the dichotomy among the constitution of goods and their subgraphs. It additionally positive aspects the layout of effective algorithms that realize items and their subgraphs and explores the connection among graph parameters of the product and elements. widely revised and improved, the instruction manual provides complete proofs of many very important effects in addition to up to date learn and conjectures.
First released in 1976, this ebook has been commonly acclaimed as a massive and enlivening contribution to the heritage of arithmetic. The up to date and corrected paperback includes extracts from the unique writings of mathematicians who contributed to the principles of graph concept. The author's observation hyperlinks every piece traditionally and frames the complete with reasons of the appropriate mathematical terminology and notation
Galileo Galilei stated he was once "reading the booklet of nature" as he saw pendulums swinging, yet he may additionally easily have attempted to attract the numbers themselves as they fall into networks of variations or shape loops that synchronize at diversified speeds, or connect themselves to balls passing out and in of the palms of fine jugglers.
The universal set is shown in each case. Two sets are equal if and only if they have the same Venn diagram. In order to illustrate this, we again consider the distributive law DL1R ∪ (S ∩ T ) = (R ∪ S) ∩ (R ∪ T ). 1, and that for (R ∪ S) ∩ (R ∪ T ) is constructed in the lower half. The two are obviously identical. In the first part of this section, we applied the method of truth tables (developed for use with propositions) to set identities. We can also apply the methods of set 48 2 Sets and Data Structures theory to the analysis of propositions.
Practice Exercise. Write the following numbers in floating point form, of length 4. 955. 114. 798. (4) 4/13. Simplified Floating Point Arithmetic To illustrate how floating point numbers are used in calculations, we shall use a system in which the mantissa is limited to four places. 113 × 102 . If two numbers have the same exponent, they are added by adding the mantissas. If the two exponents are different they must first be adjusted by increasing the smaller one. 21. 212 × 102 . Solution. 221 × 103 . | 677.169 | 1 |
Combinatorics : topics, techniques, algorithms by Peter J Cameron(
Book
) 31
editions published
between
1994
and
2010
in
3
languages
and held by
640 WorldCat member
libraries
worldwide
Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This
is a textbook aimed at second-year undergraduates to beginning graduates. It stresses common techniques (such as generating
functions and recursive construction) which underlie the great variety of subject matter and also stresses the fact that a
constructive or algorithmic proof is more valuable than an existence proof. The book is divided into two parts, the second
at a higher level and with a wider range than the first. Historical notes are included which give a wider perspective on the
subject. More advanced topics are given as projects and there are a number of exercises, some with solutions given
Introduction to algebra by Peter J Cameron(
Book
) 29
editions published
between
1998
and
2008
in
English
and held by
519 WorldCat member
libraries
worldwide
This Second Edition of a classic algebra text includes updated and comprehensive introductory chapters, . new material on
axiom of Choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises. It is an ideal introductory
text for all Year 1 and 2 undergraduate students in mathematics. - ;Developed to meet the needs of modern students, this Second
Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to
need. Starting with an introductory overview of numbers, sets and functions, matrices, polynom
Graphs, codes, and designs by Peter J Cameron(
Book
) 19
editions published
in
1980
in
English
and held by
431 WorldCat member
libraries
worldwide
This book is concerned with the relations between graphs, error-correcting codes and designs
Parallelisms of complete designs by Peter J Cameron(
Book
) 23
editions published
between
1976
and
2007
in
English
and held by
401 WorldCat member
libraries
worldwide
These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets
Designs, graphs, codes, and their links by Peter J Cameron(
Book
) 24
editions published
between
1991
and
2000
in
English
and held by
388 WorldCat member
libraries
worldwide
Although graph theory, design theory, and coding theory had their origins in various areas of applied mathematics, today they
are to be found under the umbrella of discrete mathematics. Here the authors have considerably reworked and expanded their
earlier successful books on graphs, codes and designs, into an invaluable textbook. They do not seek to consider each of these
three topics individually, but rather to stress the many and varied connections between them. The discrete mathematics needed
is developed in the text, making this book accessible to any student with a background of undergraduate algebra. Many exercises
and useful hints are included througout, and a large number of references are given
Permutation groups by Peter J Cameron(
Book
) 19
editions published
between
1999
and
2010
in
English and Undetermined
and held by
353 WorldCat member
libraries
worldwide
Permutation groups are one of the oldest topics in algebra. Their study has recently been revolutionized by new developments,
particularly the Classification of Finite Simple Groups, but also relations with logic and combinatorics, and importantly,
computer algebra systems have been introduced that can deal with large permutation groups. This text summarizes these developments,
including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying
the Classification of Finite Simple Groups. It is aimed at beginning graduate students and experts in other areas, and grew
from a short course at the EIDMA institute in Eindhoven
Sets, logic, and categories by Peter J Cameron(
Book
) 30
editions published
between
1998
and
2008
in
English
and held by
349 WorldCat member
libraries
worldwide
Sets, the toolbox for making mathematical models, logic, which tests conclusions, and category theory, the study of functions
which preserve some structure on a set together provide the basis for computational science. This self-study guide to all
three theories contains many examples
Notes on counting : an introduction to enumerative combinatorics by Peter J Cameron(
Book
) 5
editions published
between
2010
and
2017
in
English
and held by
60 WorldCat member
libraries
worldwide
Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to
statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and
prepares them for more advanced texts. It is suitable as a class text or for individual study. The author provides proofs
for many of the theorems to show the range of techniques available, and uses examples to link enumerative combinatorics to
other areas of study. The main section of the book introduces the key tools of the subject (generating functions and recurrence
relations), which are then used to study the most important combinatorial objects, namely subsets, partitions, and permutations
of a set. Later chapters deal with more specialised topics, including permanents, SDRs, group actions and the Redfield-Pólya
theory of cycle indices, Möbius inversion, the Tutte polynomial, and species
Projective and polar spaces by Peter J Cameron(
Book
) 6
editions published
between
1974
and
1993
in
English
and held by
28 WorldCat member
libraries
worldwide
Topics in algebraic graph theory by Lowell W Beineke(
Book
) 8
editions published
between
2004
and
2007
in
English
and held by
12 WorldCat member
libraries
worldwide
The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of
graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links
with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer
networks where symmetry is an important feature. Other books cover portions of this material, but this book is unusual in
covering both of these aspects and there are no other books with such a wide scope. The book contain ten expository chapters
written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to
enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader,
there is an extensive introductory chapter that covers the basic background material in graph theory, linear algebra and group
theory. Each chapter concludes with an extensive list of references
Tubes in PG(3,q) by Peter J Cameron(
) 1
edition published
in
2004
in
English
and held by
8 WorldCat member
libraries
worldwide
Parallelisms of complete designs by Peter J Cameron(
) 1
edition published
in
1976
in
English
and held by
6 WorldCat member
libraries
worldwide
These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets. The background
material to the theory of parallelisms is introduced and the author then describes the links this theory has with other topics
from the whole range of combinatorial theory and permutation groups. These include network flows, perfect codes, Latin squares,
block designs and multiply-transitive permutation groups, and long and detailed appendices are provided to serve as introductions
to these various subjects. Many of the results are published for the first time
Graph theory, coding theory, and block designs by Peter J Cameron(
) 1
edition published
in
1975
in
English
and held by
6 WorldCat member
libraries
worldwide
These are notes deriving from lecture courses given by the authors in 1973 at Westfield College, London. The lectures described
the connection between the theory of t-designs on the one hand, and graph theory on the other. A feature of this book is the
discussion of then-recent construction of t-designs from codes. Topics from a wide range of finite combinatorics are covered
and the book will interest all scholars of combinatorial theory
Oligomorphic permutation groups by Peter J Cameron(
) 1
edition published
in
1990
in
English
and held by
6 WorldCat member
libraries
worldwide
The study of permutation groups has always been closely associated with that of highly symmetric structures. The objects considered
here are countably infinite, but have only finitely many different substructures of any given finite size. They are precisely
those structures which are determined by first-order logical axioms together with the assumption of countability. This book
concerns such structures, their substructures and their automorphism groups. A wide range of techniques are used: group theory,
combinatorics, Baire category and measure among them. The book arose from lectures given at a research symposium and retains
their informal style, whilst including as well many recent results from a variety of sources. It concludes with exercises
and unsolved research problems | 677.169 | 1 |
(Book) Functions And Graphs For JEE Main & Advanced Exam by Mcgraw Hill
(Book) Functions And Graphs For JEE Main & Advanced Exam by Mcgraw Hill
BOOK DETAILS :
Language : English
Binding : Paperback
Publisher : Mcgraw Hill Education ; 2 edition (25 April 2013)
Genre : Entrance Exams Preparation
Product Dimensions : 46.2 x 6.4 x 61 cm
ISBN : 9781259064210, 1259064212
Edition : 2nd Edition, 2013
Pages : 616
Description : Published in 2013, Functions And Graphs
For JEE Main And Advanced is in its second edition, and is an ideal guide to
help master the titular concepts for the JEE.
Summary Of The Book
Functions And Graphs For JEE Main And Advanced aims at
helping students master the topic of graphs and functions, enabling them to
apply for admission into engineering colleges in the country through the JEE
examination.
The Joint Entrance Examination or JEE is an annual All India
Engineering entrance examination, held for engineering aspirants all over the
country. The JEE is divided into two papers, the JEE Main and the JEE Advanced.
The former helps students gain admission into the National Institutes of
Technology and its branches, and the various branches of the Indian Institutes
of Information Technology (IIIT), while the latter is the admission test for
entrance into the IITs, Banaras Hindu University and the Indian Institute of
Mines in Dhanbad based on the JEE Main scores.
Graphs play an important role in the answering and
interpretation of data. For the JEE Main and Advanced examinations, functions
and graphs are an integral part.
Functions And Graphs For JEE Main And Advanced includes
theory as well as practical components. It covers all the topics of functions
and graphs as per the JEE Main and Advanced syllabus and includes concepts and
practice problems that are specific to the JEE Main paper. For the JEE Advanced
section, the book has target and review exercises as well. The book clearly
indicates a demarcation between the JEE Main and Advanced sections and provides
detailed discussions about problems in each.
Functions And Graphs For JEE Main And Advanced comes
hand-in-hand with useful study tips and tricks to help examinees in the
examination. These small notes, tips and cautionary advice enhance the book's
reputation as an excellent guide. In terms of its contents, it is well-defined
and organized, and covers the topics of Graphs, Functions, and Sets and
Relations. It also includes a comprehensive basic chapter that offers
discussions on properties of various standard functions and their graphs.
Functions And Graphs For JEE Main And Advanced includes
illustrations with the respective theory, and also includes practice problems
for the JEE Main paper.
About Vinay Kumar
Vinay Kumar is an Indian author who has written various books
for engineering entrance examinations which serve as guides and comprehensive
manuals. Some of these are Discrete Mathematics, Comprehensive Algebra
(Volume-1), Differential Calculus For JEE Main And Advanced, Integral Calculus
For JEE Main And Advanced and Comprehensive Algebra for IIT-JEE. | 677.169 | 1 |
eBooks
This text walks readers through the minefield of laboratory calculations, helping to prevent the types of errors which could mean the loss of weeks of work. Topics range from basic scientific notations to complex subjects like nucleic acid chemistry and recombinant DNA technology.
Whether you need to brush up on the basics of addition, subtraction, multiplication, and division or you're ready to tackle algebraic expressions and equations, this workbook will demystify math so you can get back to having fun in math class.
This is a textbook for any biologist needing to design experiments, sampling programs or analyse the resulting data. Worked examples are used to illustrate the analyses and an extensive reference list provides links to the relevant biological and statistical literature. A supporting web-site contains datasets, questions and software links.
Authoritative and reliable, this A–Z reference work provides jargon-free definitions for even the most technical mathematical terms. With Entries are complemented by over 120 figures and diagrams, and many provide worked examples. Wide-ranging appendices include a historical calendar of important statistical events, lists of statistical and mathematical notation, and statistical tables.
Mathematics
This book, complete with exercises and answers, forms a course which will take you from beginner or intermediate level to being a confident mathematician. This book includes simple step-by-step explanations, to help you grasp new topics or those that have previously confused you.
This book is designed to help students gain the confidence needed to tackle maths in daily life. Starting from the very beginning and assuming no prior knowledge, it guides the reader through the fundamentals - decimals, percentages, graphs and tables.
This text explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking.
Statistics
Helps researchers utilizing molecular biology and biotechnology techniques to understand which type of calculation to use and why. The author reviews the mathematics and statistics related to the day-to-day functions of biotechnology and molecular biology laboratories.
This text emphasises the conceptual development of statistical ideas and seeks to find meaning in data. This local adaptation retains the conversational approach of the original text, with real examples and case studies of appeal and interest to Australian and New Zealand students.
This edition retains and refines the core perspectives of the previous editions: a focus on how to interpret statistical results rather than on how to analyze data, minimal use of equations, and a detailed review of assumptions and common mistakes. With its engaging and conversational tone, this book provides a clear introduction to statistics for undergraduate and graduate students in a wide range of fields and also serves as a statistics refresher for working scientists.
This book aims to clarify the distinction and complementary roles of epidemiology and biostatistics in a range of settings, and train students on the complementary roles epidemiology and biostatistics play in carrying out selected activities in the health professions.
This book emphasises real-world public health problems and the research questions they inspire, providing a uniquely practical introduction to the statistical concepts and methods that working professionals use during investigations.
This book emphasises the conceptual development of statistical ideas and the importance of looking for - and finding - meaning in data. It explains statistical topics in the context of a range of examples and case studies.
This text offers an introduction to social statistics. It asks why the social researcher uses statistics and contains information on organising the data, measures of central tendency testing, differences between means and choosing statistical procedures for research problems.
The only Australian statistics book that includes a primer on basic maths to ensure a successful start to the study of statistics. A practical and user-oriented approach, using current data and numerous real-world examples. The author is a professor of Statistics at Macquarie University. Includes trial examination papers.
Biometrics
The latest full-text articles from Biometrics, an electronic journal which covers the role of statistics and mathematics in the biological sciences. It is available in the database Academic Search Premier. | 677.169 | 1 |
Math Success Begins With Algebra
NewsUSA) – In today's society, everyone, not just those who are mathematically inclined, must understand algebraic concepts and be able to work with technology. Success in algebra often translates to success in college, so it is very important for today's students to do their best with this critical subject.
"Students who take advanced mathematics courses during high school, and begin to study algebra during middle school, are at an advantage," says Judy A. Brown, manager of math education at Sylvan Learning. "Traditionally, students cannot take a higher-level mathematics class in high school until they have successfully completed Algebra 1."
– Encourage children to take algebra early in their educational careers if they are academically ready. Students who do not take courses covering algebraic concepts early risk missing important opportunities for growth. By the end of junior and senior years, students who have not planned ahead have fewer class options and may not be able to complete prerequisite courses. This can restrict a student's college options and career.
– Persuade children to take additional math classes. Many students indicate that they do not plan to take math classes beyond their school requirements. Math offers critical learning skills that are needed throughout life. Brown states, "Success in algebra correlates with success in higher education and learning reasoning skills. Taking additional math classes helps children to become logical, independent thinkers."
– Incorporate technology. Technology should support math instruction, and students should be encouraged to use the modern tools at their disposal to gain an understanding of the underlying reasoning and computations used in problem-solving. Educators believe that infusing electronic learning aids during in-school math instruction and homework completion is advantageous because it allows students to easily absorb and retain crucial math concepts.
According to research from Ohio State University's Center for Cognitive Science, math technology and how-to instructional videos allow students to "come to the understanding themselves using their critical thinking skills instead of relying on memorization."
To obtain step-by-step instructional math videos based on American math textbooks, visit To obtain educational resources to help students in grades K-12 learn the math skills needed for success, visit the "Math" area of or call 1-800-31-SUCCESS | 677.169 | 1 |
In this fully revised second edition of Understanding Probability, the reader can learn about the world of probability in an informal way. The author demystifies the law of large numbers, betting systems, random walks, the bootstrap, rare events, the central limit theorem, the Bayesian approach and more. This second edition has wider coverage, more explanations and examples and exercises, and a new chapter introducing Markov chains, making it a great choice for a first probability course. But its easy-going style makes it just as valuable if you want to learn about the subject on your own, and high school algebra is really all the mathematical background you need.
Understanding Probability is a unique and stimulating approach to a first course in probability. The first part of the book demystifies probability and uses many wonderful probability applications from everyday life to help the reader develop a feel for probabilities. The second part, covering a wide range of topics, teaches clearly and simply the basics of probability. This fully revised third edition has been packed with even more exercises and examples and it includes new sections on Bayesian inference, Markov chain Monte-Carlo simulation, hitting probabilities in random walks and Brownian motion, and a new chapter on continuous-time Markov chains with applications. Here you will find all the material taught in an introductory probability course. The first part of the book, with its easy-going style, can be read by anybody with a reasonable background in high school mathematics. The second part of the book requires a basic course in calculus.
Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a mainstream part of the curriculum from early childhood through high school. The authors of the book discuss the nature of probability, look at the meaning of probabilistic literacy, and examine student access to powerful ideas in probability during the elementary, middle, and high school years. Moreover, they assemble and analyse research-based pedagogical knowledge for teachers that can enhance the learning of probability throughout these school years. With the book's rich application of probability research to classroom practice, it will not only be essential reading for researchers and graduate students involved in probability education; it will also capture the interest of educational policy makers, curriculum personnel, teacher educators, and teachers.
This book has been written to fIll a substantial gap in the current literature in mathemat ical education. Throughout the world, school mathematical curricula have incorporated probability and statistics as new topics. There have been many research papers written on specifIc aspects of teaching, presenting novel and unusual approaches to introducing ideas in the classroom; however, there has been no book giving an overview. Here we have decided to focus on probability, making reference to inferential statistics where appropriate; we have deliberately avoided descriptive statistics as it is a separate area and would have made ideas less coherent and the book excessively long. A general lead has been taken from the fIrst book in this series written by the man who, probably more than everyone else, has established mathematical education as an aca demic discipline. However, in his exposition of didactical phenomenology, Freudenthal does not analyze probability. Thus, in this book, we show how probability is able to organize the world of chance and idealized chance phenomena based on its development and applications. In preparing these chapters we and our co-authors have reflected on our own acquisition of probabilistic ideas, analyzed textbooks, and observed and reflect ed upon the learning processes involved when children and adults struggle to acquire the relevant concepts.
This text is designed for an introductory probability course at the university level for sophomores, juniors, and seniors in mathematics, physical and social sciences, engineering, and computer science. It presents a thorough treatment of ideas and techniques necessary for a firm understanding of the subject. The text is also recommended for use in discrete probability courses. The material is organized so that the discrete and continuous probability discussions are presented in a separate, but parallel, manner. This organization does not emphasize an overly rigorous or formal view of probability and therefore offers some strong pedagogical value. Hence, the discrete discussions can sometimes serve to motivate the more abstract continuous probability discussions. Features: Key ideas are developed in a somewhat leisurely style, providing a variety of interesting applications to probability and showing some nonintuitive ideas. Over 600 exercises provide the opportunity for practicing skills and developing a sound understanding of ideas. Numerous historical comments deal with the development of discrete probability. The text includes many computer programs that illustrate the algorithms or the methods of computation for important problems. The book is a beautiful introduction to probability theory at the beginning level. The book contains a lot of examples and an easy development of theory without any sacrifice of rigor, keeping the abstraction to a minimal level. It is indeed a valuable addition to the study of probability theory. --Zentralblatt MATH
Understanding Statistics meets the requirements of A Level Statistics, both as a subject in its own right and as a part of Mathematics. The authors are both experienced teachers and examiners and present statistical ideas in an enjoyable fashion using a lively commentary and interesting contexts. Key Points: · Very approachable text supported by numerous illustrations · Formulae are derived as simply as possible, without using advanced mathematics, and worked examples are given for guidance · Over 1000 exercises, including a great many from past exam papers · Includes suggestions for practical work and for calculator and computer exercises · Answers are given at the back of the book | 677.169 | 1 |
Who? Programs are intended to students from 4th to 12th grades in school year 2017-2018.
Program Description:
This program supplements and enriches the school math classes for students interested in further academic development.
Our instructors and materials help students learn more in-depth and advanced math material, furthering their mathematical knowledge.
By the end of the program, students are ready for more rigorous school math/science classes.
In order to meet the needs of the students with different mathematical backgrounds, this program provides an extensive curriculum Note that thereThe Weekday Enrichment Program, which will be held after school during the school year. This program runs from September 2017 to May 2018 (click here for class calendar).
This program consists of 30 two-hour classes (for a total of 60 hours) during the school year.
Materials covered in the Spring Session are a continuation of the materials covered in the Fall Session.
Each course meets 15 times in each session, and each meeting is two hours long. Each course is designed for a total of 15 * 2 + 15 * 2 = 60 class hours. See academic calendars for Fall Session and Spring Session.
*Testing fee is non-refundable. Additional late fees may apply to late/additional placement tests.
Tuition Payment Schedule:
Item
Tuition Payment deadline
Amount
One Payment Plan
Sept. 12, 2017***
Tuition**: $1615
Two Payment Plan (first payment)
Jan. 7, 2018***
Tuition**: $845
Two Payment Plan (second payment)
Jan. 7, 2018***
Tuition**: $845
Registration is only the first step of towards enrollment. Enrollment is completed only after the tuition is paid in full.
**The tuition payment is independent to student's course placement because the tuition is for the program, not for a specific course.
IDEA MATH staff work with students on course placement by reviewing their academic backgrounds, assigning placement test levels, reviewing placement test work,
and more. IDEA MATH staff make the final decision on students' course placements. (Please see our Course Placement Policy section for details.)
All tuition refund for withdrawing will be processed based on the refund policy.
***The tuition payment is due on this date. Enrollment after this date will depend on space availability and a late fee ($50 or more) will be applied to the tuition.
Contact IDEA MATH
As always, we welcome parents' specific academic questions about our curriculum and teaching styles, as well as students'
class-work and preparation. Please contact info@ideamath.org.
Tuition Refund Policy
Note that this Weekday program in Lexington (MA) has only ONE 30-meeting (each meeting is 2 hours long) session, even though it has two payment options.
Withdraw Request Made by
Refund Amount
After tuition being paid before 1st class day of the program
Paid Tuition - $100
After 1st class of the program and before the 2nd class day of the program
Paid Tuition - $200
After 2nd class of the program and before the 3rd class day of the program
Paid Tuition - $300
After 3rd class of the program and before the 5th class day of the program | 677.169 | 1 |
We learn by doing. We learn mathematics by doing problems. This book is the first volume of a series of books of problems in mathematical analysis. It is mainly intended for students studying the basic principles of analysis. However, given its organization, level, and selection of problems, it would also be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. The volume is also suitable for self-study.
Each section of the book begins with relatively simple exercises, yet may also contain quite challenging problems. Very often several consecutive exercises are concerned with different aspects of one mathematical problem or theorem. This presentation of material is designed to help student comprehension and to encourage them to ask their own questions and to start research. The collection of problems in the book is also intended to help teachers who wish to incorporate the problems into lectures. Solutions for all the problems are provided.
The book covers three topics: real numbers, sequences, and series, and is divided into two parts: exercises and/or problems, and solutions. Specific topics covered in this volume include the following: basic properties of real numbers, continued fractions, monotonic sequences, limits of sequences, Stolz's theorem, summation of series, tests for convergence, double series, arrangement of series, Cauchy product, and infinite products.
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Review:
"A valuable resource." ---- American Mathematical Monthly
"Would be an ideal choice for tutorial or problem-solving seminars. The volume is also suitable for self-study ... presentation of material is designed to help student comprehension and to encourage them to ask their own questions and to start research ... a really useful book for practice in mathematical analysis." ---- Zentralblatt MATH
"Belongs to the great tradition of Eastern European problem books ... if you love mathematics and are serious about understanding analysis, this book is a must." ---- MAA Online
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Math for the Anxious : Building Basic Skills
Basically, the goals stipulated that students would demonstrate mastery in five areas: English, mathematics, science, history and geography. I offer it merely as an opinion, which I do not wish to argue about. Through the Advanced Search Page, you can find items by searching specific terms such as Title, Author, Subject, ISBN, etc or you can narrow your focus using our amazing set of criteria parameters. When we teach this course, we have several objectives for the students.
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Elementary Arithmetic, For Graded And Ungraded Schools
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The Mercantile Arithmetic: Adapted to the Commerce of the United States, in Its Domestic and Foreign Relations: With an Appendix, Containing Practical Systems of Mensuration, Gauging, and Book-Keeping
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The Higher Arithmetic: An Introduction to the Theory of Numbers
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Times Tables Practice Book 2
Handbook of the Tutte Polynomial (Monographs and Research Notes in Mathematics)
A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on Conic Sections
Asymptotic Analysis and Perturbation Theory
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Basic Mathematics for Secondary Education Book Two: Mathematics Studies Series
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About the Author:
Samwel Katambi is a Programmer, Computer System Analyst and Mathematicians who have written a series of mathematics books known as Secondary Education Mathematics. Graduated at the University of Dar es Salaam where he took Computer Science majoring in Mathematics, the 30 years old scholar like to share his academic knowledge with others worldwide.
Descripción Estado de conservación: New. Publisher/Verlag: LAP Lambert Academic Publishing | Mathematics Studies Series | | Format: Paperback | Language/Sprache: english | 380 pp. Nº de ref. de la librería K978384841266248412662 This item is printed on demand - Print on Demand | 677.169 | 1 |
Hi, my high school classes have just started and I am shocked at the amount of mcdougallittell math answer key homework we get. My basics are still not clear and a big homework is due within 3 days. I am really worried and can't think of anything. Can someone help me?
Don't fear, Algebrator is here ! I was in a same situation sometime back, when my friend advised that I should try Algebrator. And I didn't just pass my test; I went on to score really well in it . Algebrator has a really simple to use GUI but it can help you solve the most challenging of the problems that you might face in algebra at school. Give it a go and I'm sure you'll do well in your test.
I didn't use that Algebrator software yet but I heard from my classmates that it really does help in answering math problems. Since then, I noticed that my friends don't really have troubles solving some of the problems in class. It might really have been effective in improving their solving abilities in math . I can't wait to use it someday because I think it can be very effective and help me have a good mark in math .
I remember having problems with decimals, perfect square trinomial and quadratic inequalities. Algebrator is a really great piece of algebra software. I have used it through several math classes - College Algebra, Intermediate algebra and Intermediate algebra. I would simply type in the problem from a workbook and by clicking on Solve, step by step solution would appear. The program is highly recommended. | 677.169 | 1 |
This module cannot be taken in combination with level H clone of this module.
Contact Hours
Exclusions
Description
This module builds upon the core numerical techniques students learned in Year 2.
It further develops theoretical foundations of practical algorithms for approximating functions and data (Lagrange and Hermite interpolation, adaptive approximation), for solving systems of nonlinear equations (Newton's method and its variants, fixed-point methods), for efficient evaluation of integrals (Romberg, Gaussian, and adaptive quadratures), and for numerical solution of ordinary differential equations (Taylor series method, Runge-Kutta methods, multistep methods). Theoretical and practical aspects of numerical algorithms will be illustrated with MATLAB examples, but no programming will be required.
Learning Outcomes
By the end of the module students should be able to:
Construct Lagrange and Hermite interpolants for given functions or data.
Implement a range of iterative techniques for solving systems of nonlinear equations.
Solve ordinary differential equations numerically using a range of methods.
Students taking the module at Level M will explore the subject beyond the taught syllabus. | 677.169 | 1 |
My Math Lab is sheer torture. It does nothing to explain the material, it is just a photocopy of the text book. I purchased the text book, but our professor requires us to access the identical information at My Math Lab. It is not formatted in a friendly way,... | 677.169 | 1 |
In mathematics perhaps the most useful role of the calculator is in easing
mechanical tasks during problem solving. There are many types of problems
in which a calculator is useful and most of these can be solved in more than
one way. Care should be taken so that students don't adopt the view that a
calculator can be used in only certain ways. It's as if the calculator were
a vehicle and the solution to the problem an address. You can look at a map
of the area and choose a route to take, or simply ask someone for explicit
directions. The problem with directions is that they may be of little or
no use when trying to reach a different address.
This dichotomy of maps and directions is one of the difficulties involved in
incorporating a calculator into a course. Most students would prefer to just
receive directions. In the long run maps are more useful. However, it's not
feasible to completely do away with directions. I will discuss these and
other issues. I will also give an approach to the whole matter of maps versus
directions which can help to reduce the amount of direction giving done in
class. | 677.169 | 1 |
Syllabus
The precise topics planned for each date may change as the term progresses.
In particular, recurrence equations have been moved to Week 5.
The schedule lists those sections of the books
that covers the relevant material;
there have also been handouts on
propositions, sets, and valid arguments. | 677.169 | 1 |
Mathematics for Engineering Students
Browse related Subjects ...
Read More Any curve whatever will produce an involute in this way, but the circle is most commonly used. A gear tooth is made up of cycloid, evolute, and circular arc in varying proportions. SPIRALS. Art. 118. A spiral is described by a point receding, according to some fixed law, along a straight line that revolves about one of its points. There are a number of spirals, one of which will illustrate this type of curve. The revolving line is called the radius vector and the angle it makes, in any position, with the initial line, is called the vectorial angle. The hyperbolic spiral is the curve generated by a point, which moves so that the product of radius vector and vectorial angle is constant. Fig. 65. Calling the radius vector, r; the vectorial angle 0 and the constant C, we have by definition, rd=C. 11 To construct it when C = 11, then r.. Make a table of values for r, as follows; When ELEMENTARY CALCULUS. CHAPTER I. FUNDAMENTAL PRINCIPLES. Art. I. Variables and constants. Suppose we wish to plot a curve, corresponding to the relation y = x3 + 2 x2--5 x--6; and for this purpose assign to x certain arbitrary values, calculating from these the corresponding and dependent values of y. Now in such a case both x and y are variable quantities, x being called an independent, and y a dependent variable. In general: A Variable is a quantity which is subject to continual change of value, while an Independent Variable is supposed to assume any arbitrary | 677.169 | 1 |
462Matrices2.1Operations withMatrices2.2Properties of MatrixOperations2.3The Inverse of a Matrix2.4Elementary Matrices2.5Applications of MatrixOperationsCHAPTER OBJECTIVES■Write a system of linear equations represented by a matrix, as well as write the matrix formof a system of linear equations.■Write and solve a system of linear equations in the form ■Use properties of matrix operations to solve matrix equations.■Find the transpose of a matrix, the inverse of a matrix, and the inverse of a matrix product (if they exist).■Factor a matrix into a product of elementary matrices, and determine when they are invertible.■Find and use the -factorization of a matrix to solve a system of linear equations.■Use a stochastic matrix to measure consumer preference.■Use matrix multiplication to encode and decode messages.■Use matrix algebra to analyze economic systems (Leontief input-output models).■Use the method of least squares to find the least squares regression line for a set of data.LUAx±b.Operations with MatricesIn Section 1.2 you used matrices to solve systems of linear equations. Matrices, however,can be used to do much more than that. There is a rich mathematical theory of matrices,and its applications are numerous. This section and the next introduce some fundamentalsof matrix theory.It is standard mathematical convention to represent matrices in any one of the followingthree ways.1. A matrix can be denoted by an uppercase letter such as2. A matrix can be denoted by a representative element enclosed in brackets, such as±aij²,±b²,±c², . . . .A,B,C, . . . .2.1
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Section 2.1Operations with Matrices473. A matrix can be denoted by a rectangular array of numbersAs mentioned in Chapter 1, the matrices in this text are primarily real matrices.That is,their entries contain real numbers.Two matrices are said to be equalif their corresponding entries are equal.Consider the four matricesandMatrices and are notequal because they are of different sizes. Similarly, and arenot equal. Matrices and are equal if and only if REMARK:The phrase "if and only if" means the statement is true in both directions. Forexample, " if and only if " means that implies and implies A matrix that has only one column, such as matrix in Example 1, is called a columnmatrixorcolumn vector.Similarly, a matrix that has only one row, such as matrix inExample 1, is called a row matrixorrow vector.Boldface lowercase letters are often usedto designate column matrices and row matrices. For instance, matrix in Example 1 can bepartitioned into the two column matrices and as follows.A±±1324²±±13±±24²±³a1±a2´a2±±24²,a1±±13²ACBp.qqpqpx±3.DACBBAD±±1x24².C±³13´,B±±13²,A±±1324²,EXAMPLE 1Equality of Matrices±a11a21a31.
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Oxford Pure Mathematics 1 for Cambridge International AS & A Level
by Jean Linsky
Supporting achievement in the latest syllabus, this stretching course builds the advanced skills students will need for Cambridge assessment and for higher education. Engaging, real world applications are included throughout, making mathematics...
Book description
Supporting achievement in the latest syllabus, this stretching course builds the advanced skills students will need for Cambridge assessment and for higher education. Engaging, real world applications are included throughout, making mathematics relevant to real life. The series is edited by David Rayner, whose clear, practice-based approach is trusted around the world to build students' mathematical and analytical skills. A Worked Solutions Manual is also available, covering Pure Mathematics, Mechanics, and Statistics, to comprehensively support understanding. | 677.169 | 1 |
2 Dr. Mack Gipson, Jr., Tutorial and Enrichment Center MATHEMATICS SURVEY There are many reasons why students might have trouble in math class. Some students may feel defeated by math or may not like the subject. Others may have poor classroom performance, homework habits, or poor or ineffective study skills. Sometimes, students do not prepare for math tests effectively or experience feelings of test anxiety during their math tests. Whatever the reason why you are feeling challenged by your math class, this survey can help you identify some reasons why you are having trouble. As you work to correct those areas or skills that show up as needing improvement, you will see your performance in math improve. Respond to each of the items in the survey by circling the number that best describes your performance in math. When you are done, add up your scores for each section. Then read the directions for scoring the survey on page 5 of this packet to find out how effective your math study skills are. The Dr. Mack Gipson, Jr., Tutorial and Enrichment Center, Paine College, Augusta, GA Prepared by Carole D. Overton, Director page 11
3 STATEMENT I. Attitude and Approach in Mathematics Courses disagree agree 1. I usually believe that I can do well in mathematics courses. 2. I am usually enthusiastic about learning in mathematics courses. 3. I believe that I am good at math. 4. I work persistently in a mathematics course, regardless of how well I do on the tests. 5. I usually enjoy taking mathematics courses. II. Classroom and Homework Habits SECTION TOTAL 1. I always attend my math classes. 2. I always arrive at class on time. 3. I am always prepared for class: I bring my pens/pencils, textbook, notebook, paper, homework, calculator (if allowed), and/or any other necessary materials. 4. I always try to participate in class. 5. I sit in the front of the room. 6. I always have my own book for the entire semester. (I do not try to share a book with someone else or to get through the entire semester without having a book at all.) 7. I always pay attention in math class, no matter how I feel or how difficult I think the material is. 8. I usually find it easy to understand what goes on in mathematics classes. 9. If I do not understand something in class, I ask the teacher about it. 10. I usually take clear and complete notes in mathematics classes. 11. I take organized notes and keep them in an organized notebook. 12. I usually I re-read my class notes carefully before each class. 13. I always make a serious effort to do my homework before the next class. 14. If I have questions arising from the homework, I ask my teacher, a tutor, or another student for help. 15. I find a way to check my solutions to homework problems before the next class. 16. I frequently discuss homework and class notes with other students from my class, but only after I have tried to solve or understand the by myself. 17. If I have trouble understanding the textbook, I find other ways to master the concepts. 18. Even if I understand most of what goes on in class, I carefully do all of the homework assignment before the next class. 19. I actually read the explanations in my math textbook before I try to do the problems. The Dr. Mack Gipson, Jr., Tutorial and Enrichment Center, Paine College, Augusta, GA Prepared by Carole D. Overton, Director page 22
4 STATEMENT 20. I use a different color ink to mark the corrections on my tests once they are returned to me, and I use those tests to help me study. 21. If I have I trouble with the class lecture, my notes, my homework, or my test preparation, I know where I can get help. 22. When I am confused about something related to my math class, I ask for help from my teacher, the Tutorial and Enrichment Center, another tutoring program on campus, or a good math student. 23. If I make appointments to get help from my teacher, a tutor, or a friend, I keep all of those appointments and try to follow the suggestions that I receive in each help session. III. Mathematics Test Preparation Habits SECTION TOTAL disagree agree 1. I never leave most of my studying for the test until the day before the test. Instead, I start studying at least one week before a test and at least two weeks before the final exam. 2. I obtain or make a list of all of the topics that may appear on the test. 3. I study all possible topics that I might be tested on, even if I believe that the teacher is unlikely to include such topics on the test. 4. I study one topic at a time until I master it. I practice solving sample problems and then check my answers to make sure I am right. If I am not right, I work to find out what my mistakes were. 5. I work on only one topic until I master it, and only then do I go on to the next topic. 6. I make sure that I master every topic that might be on the test. 7. After I study for the test, I make sure I can correctly explain to another student how to solve all of the types of problems that may appear on the test. 8. I always study well enough not just to pass or to score in the 70s or 80s. Instead, I always study well enough to aim at scoring 100% on the test. 9. For each type of problem, I can describe the typical errors a student might make in solving such a problem. 10. I can identify the types of problems on a test or worksheet, even when the problems are placed in random order. 11. Even though I attend class every day, take complete notes, and do all of the assigned homework, I make an additional special effort to study for the test. 12. I make up practice tests using problems and questions from my textbook, class notes, past tests and quizzes, and/or other resources. I write the answers to all problems on the practice test without looking at the solutions. 13. I usually know the material so well that I enjoy taking the test. SECTION TOTAL The Dr. Mack Gipson, Jr., Tutorial and Enrichment Center, Paine College, Augusta, GA Prepared by Carole D. Overton, Director page 33
5 STATEMENT IV. Mathematics Test-Taking Habits disagree agree 1. I get plenty of rest the night before a math test. 2. I eat well-balanced meals at mealtimes on the day of my test (instead of skipping meals or just eating junk food). 3. I arrive in class early on the day of a test so that I can get settled, organize my thoughts, and do some relaxation exercises. 4. I always bring what I need to take the test: pencils/pens, paper, calculator, textbook, notebook, etc. 5. I always look over the test before I start answering any questions so that I know how long it is, what types of questions are given, and how many points they are worth. 6. I always budget my time so that I have a chance to make the most of the time available for the test and to earn the highest grade possible. 7. I start a test by answering the questions I know I can do well, even if that means that I do not start with question #1 or that I answer the questions out of order. 8. I try to make good use of my time while taking a test. 9. If I find that a problem is too hard, I put a mark by it, skip it until I have tried all of the other questions, and then go back to try it again if I have time. 10. When I take a test, I always read the directions carefully and listen to any directions the teacher gives us. 11. I always save a few minutes at the end of the test period to review my answers. 12. I always try to be neat as I solve the problems and as I write my answers. 13. I try to show all of my work because the teacher may give partial credit even if my final answer is not correct. 14. If I find I that I have finished the test before the end of the test period, I use the remaining time to double-check my work, make sure all of my answers are easy to read, and/or work on the problems that were difficult, instead of turning in my paper and leaving the room. Adapted from: Smith, R. M. (1994). Mastering mathematics: How to be a great math student (2 nd ed.). Belmont, CA: Wadsworth. The Dr. Mack Gipson, Jr., Tutorial and Enrichment Center, Paine College, Augusta, GA Prepared by Carole D. Overton, Director page 44
6 SCORING THE SURVEY If you have not done so already, add up your scores in each of the 4 sections of the test. (Add up the numbers you have circled.) Write the total for a section in the space labeled SECTION TOTAL below that section. Then find your total score for each section on the chart below and analyze your performance based on your score. Keep in mind that any item for which you scored less than 5 is an area in which you could make improvements. (Each item was written to describe what a successful math student would do; if you want to be successful in math, you should try to follow the successful student s plan.) I. Attitude and Approach in Mathematics Courses 22 or over You approach a mathematics course with a healthy attitude that tends to help you do well in the course. Your attitude and approach are not causing you problems. 18 to 21 Your attitude does not greatly handicap you in a mathematics course, but you could definitely improve it. A better attitude might mean better grades! 17 or below It is very likely that your attitude about math has been a major stumbling block in your efforts to doing well in a mathematics course. Work to improve your attitude and approach to math by reading each item in the first section of the survey and trying to make those habits and attitudes your own. Having a more positive attitude and a more effective approach to math will make a big difference in your performance. If you would like help in doing this, make an appointment with a tutor in the Tutorial and Enrichment Center. II. Classroom and Homework Habits 78 or over Your classwork and homework efforts are good, and you do not need much improvement in this area. 39 to or below Your classwork and homework preparation are about average. You can definitely make improvements in your preparation that will help you do better in math. Your weak classwork and homework habits may be have a lot to do with why you are having trouble in math class. You have to make significant improvements in this area. Read each of the items in the second section of the survey and try to follow each of those successful student habits. Better and more effective classroom and homework habits will help you achieve success. If you would like help in doing this, make an appointment with a tutor in the Tutorial and Enrichment Center. The Dr. Mack Gipson, Jr., Tutorial and Enrichment Center, Paine College, Augusta, GA Prepared by Carole D. Overton, Director page 55
7 III. Mathematics Test Preparation Habits 57 or over Your test preparation habits may be excellent. If you have circled any number less than 5, however, look at that statement again for clues on how to improve these habits. 43 to 56 Although you have no extreme test preparation problems, you can definitely improve your test preparation habits. Read the items in this section of the survey, focusing on any statement for which your score was less than 5. Those are skills which you should try to improve. 42 or below Your test preparation habits in math courses can be and should be greatly improved. If you are also weak in classroom and homework habits, improving those skills may also improve your ability to prepare more effectively for math tests. To find out what you can do to better prepare for tests, read each of the items in the third section of the survey and try to follow each of those successful student habits. If you would like help in doing this, make an appointment with a tutor in the Tutorial and Enrichment Center. IV. Mathematics Test-Taking Habits 62 or over Your test-taking habits may be very good. If you have circled any number less than 5, however, look at that statement again for clues on how to improve these habits. 46 to or below Although you may have no extreme test-taking problems in math, you can definitely improve your test-taking habits. If you have circled any number less than 5, look at that statement again for clues on how to improve these habits. Your test-taking habits in math can be and should be greatly improved. Better test-taking habits will help you achieve higher grades and make you feel more successful in math. It is also likely that improving your classroom, homework and test-preparation habits will help you takes tests more successfully. To find out what you can do to better prepare for tests, read each of the items in the fourth section of the survey and try to follow each of those successful student habits. If you would like help in doing this, make an appointment with a tutor in the Tutorial and Enrichment Center. Trying to improve your performance in math does not require a magic cure. You have the tools right here, under your fingertips. You can use this survey as a guide to tell you how you can make changes in your skills and your approach to math. Following these suggestions can make YOU one of the successful math students we have been talking about! Remember, the tutors in the Dr. Mack Gipson, Jr., Tutorial and Enrichment Center are here to help you make these changes. Make an appointment with a tutor if you would like some help. We know you can do it! Good luck! The Dr. Mack Gipson, Jr., Tutorial and Enrichment Center, Paine College, Augusta, GA Prepared by Carole D. Overton, Director page 66How To Study Mathematics Using My Math Lab Preparing for Class Read and review the appropriate material before class Come to class prepared. 1. Know which homework problems you have questions about and
LLCC Study Skills Center 8-8 Tips on How to Study Math What s Different About Math Textbooks 1. Math textbooks must be studied very slowly. 2. Unlike many other textbooks, math textbooks have: No repetition
Lee I. McCann Distinguished Professor of Psychology University of Wisconsin Oshkosh *Study Tips I. Review Your Study Behaviors and Habits Have you ever taken an exam, felt like you knew the material, and
November/December 2010 The Importance of The First Year A newsletter from the Office of Student Transitions and First Year Programs Wrapping Up the First Semester Your student s first semester is almost
How to Study Mathematics Written by Paul Dawkins Before I get into the tips for how to study math let me first say that everyone studies differently and there is no one right way to study for a math class.
MODULE #1: Study Skills and Time Management Objective: Participants will learn skills to study better. Participants will be able to organize their study time. Participants will learn effective time management
SQ3R Modified for Math Overview: Math classes are very difficult for most people. Part of the reason why is that the text can be extremely complex to read. By using the SQ3R reading strategy modified for
SAMPLE TEST MATHEMATICS GRADE 5 2007 Oregon Content Standards Grades 3-8 It is the policy of the State Board of Education and a priority of the that there will be no discrimination or harassment on the
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What is the Accuplacer College-Level Math Placement Test?
The ACCUPLACER College-Level Math placement test exam evaluates your ability to solve problems that involve college-level mathematical concepts. The ACCUPLACER College-Level Math test makes up one of the three math tests on the ACCUPLACER.
ACCUPLACER College Math Placement Tests
Begin studying for the ACCUPLACER college math placement test with the ACCUPLACER Math Pack. Get hundreds of questions and detailed answer explanations for all three ACCUPLACER math tests. Upgrade to the ACCUPLACER Premium Pack for college placement testing practice.
ACCUPLACER College-Level Math Test Topics
The College-Level Math section of the ACCUPLACER math test consists of 20 questions. These questions evaluate your abilities in five areas:
1. Algebraic operations:
polynomials
powers
roots
radicals
absolute value
simplification and operations with algebraic fractions and expressions
factoring quadratic expressions
2. Equations and inequalities:
linear
quadratic
exponential
other algebraic equations and inequalities
3. Coordinate geometry:
the coordinate plane
straight lines
conics
locus of points
graphs of algebraic functions
4. Applications:
translating verbal problems
complex numbers
series and sequences
determinants
permutations and combinations
fractions and polygons
5. Functions & Trigonometry:
exponents and logarithms including computations with functions and graphical properties
Answer and Explanation
The inequality is equivalent to ; therefore, the correct answer is (B).
If you chose answer (A), check your calculations.
If you chose answer (C), you probably reversed the inequality sign instead of following the rules—only reverse the inequality sign when you multiply or divide by a negative number.
If you chose answers (D) or (E), you probably divided by instead of .
Question 2: Level 2 ACCUPLACER College-Level Math Question
What is the value of in the equation ?
3
7
10
100
Scroll down to reveal the answer and explanation.
Answer and Explanation
The correct answer is (E).
In order to solve this problem, apply these logarithm rules:
Method A:
Note that , thus:
Use and find :
Method B:
Note that , thus:
From the calculations ; therefore, the correct answer is (E).
If you chose any other answer, review your calculations and logarithm rules.
Question 3: Level 3 ACCUPLACER College-Level Math Question
Every Monday morning Brandon receives $400 for the chores he did the week before. Each week he spends between $300 and $460. If Brandon has $200 on Sunday evening, how much will he have saved three weeks later?
.$0 - $420
$0 - $500
$20 - $420
$20 - $500
$420 - $500
Scroll down to reveal the answer.
Answer and Explanation
The correct answer is (D).
The answer is a range; therefore, find the maximum and minimum amount of money Brandon may have saved three weeks later. In order for Brandon to have saved the maximum amount, he needs to spend the minimum amount—$300.
On Sunday evening he had $200.
Every week Brandon receives $400 and spends $300:
Earn($)=400−300=100
Three weeks later:, the maximum amount is $500.
In order for Brandon to have saved the minimum amount, he needs to spend the maximum amount—$460.
On Sunday evening he had $200.
Every week Brandon receives $400 and spends $460:
Earn($)=400−460=−60
Three weeks later: , the minimum amount is $20.
The maximum amount Brandon may have three weeks later is $500, and the minimum amount he may have is $20. Therefore, the correct answer is (D).
Start ACCUPLACER College Math Placement Test Prep Now!
Don't delay preparing for your ACCUPLACER math test. If you have to take a college math placement exam or ACCUPLACER math admissions exam, begin your ACCUPLACER prep now. Get questions and explanations to help you prepare for the ACCUPLACER College-Level math test. | 677.169 | 1 |
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Students will explore a variety of real world formulas from physics and geometry to gain insights into the power and application of algebraic techniques for finding values of interest. They will solve for variables of interest after substituting as well as re-arranging equations prior to substitution. This mission is aligned with Common Core State Standards: HSA.CED.A.4, HSN.Q.A.1
The fun stuff:
Force, power, momentum--even a little Einstein! A metric ton of physics equations to animate an exploration of linear and non-linear equations in multiple variables. Starting with an activity matching equations with descriptions, then of course, dogs on skateboards, followed by a lot of practice with simple yet profoundly meaningful equations! Great connection to physics here!
About Courage To Core: We all have an innate curiosity about how the world works. We are wired to experiment at the edges of our knowledge, to look for patterns and to draw conclusions. Mistakes are the welcome surprises which help us refine the experiment. In a student-centered classroom, students collaborate to ask questions, gather data, interpret results and articulate understanding. Success at the edge of knowledge demands persistence and creativity. Courage To Core provides a context for students to work together to become the agents of their success and the owners of their cognition. If you like Courage To Core, please give me a positive rating to help me get started on TpT! You get credits towards future TpT purchases with every rating you give! Just revisit the purchased item in my store and scroll down to star me! Thanks! | 677.169 | 1 |
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FS: Mathematics and Computer Science
Mathematics plays an important role in computing: Boolean algebra and basic arithmetic is used for building the basic elements of computers, mathematical logic is used to describe the theoretical foundations of computer science, linear algebra and geometry are used when modelling of physical environments and virtual realities for animated movies and video games; game theory is employed when programming strategic games like chess and go on computers. The seminar gives an overview of the role of mathematics in computer science and the history of the two disciplines. | 677.169 | 1 |
Progress in mathematics is based on a thorough understanding of the mathematical objects under consideration, and yet many textbooks and monographs proceed to discuss general statements and assume that the reader can and will provide the mathematical infrastructure of examples and counterexamples. This book makes a deliberate effort to correct this situation: it is a collection of examples. The...
Progress in mathematics is based on a thorough understanding of the mathematical objects under consideration, and yet many textbooks and monographs pr...
This contemporary first course focuses on concepts and ideas of Measure Theory, highlighting the theoretical side of the subject. Its primary intention is to introduce Measure Theory to a new generation of students, whether in mathematics or in one of the sciences, by offering them on the one hand a text with complete, rigorous and detailed proofs--sketchy proofs have been a perpetual complaint,...
This contemporary first course focuses on concepts and ideas of Measure Theory, highlighting the theoretical side of the subject. Its primary intentio......
This book is a new edition of "Tensors and Manifolds: With Applications to Mechanics and Relativity" which was published in 1992. It is based on cours...
Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout.
Properties of vectors are initially introduced before moving on to...
Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometric...
Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration.
Undergraduates...
Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book in...
Tensor algebra and tensor analysis were developed by Riemann, Christo?el, Ricci, Levi-Civita and others in the nineteenth century. The special theory of relativity, as propounded by Einstein in 1905, was elegantly expressed by Minkowski in terms of tensor ?elds in a ?at space-time. In 1915, Einstein formulated the general theory of relativity, in which the space-time manifold is curved. The...
Tensor algebra and tensor analysis were developed by Riemann, Christo?el, Ricci, Levi-Civita and others in the nineteenth century. The special theory ...
The present book is a marvelous introduction in the modern theory of manifolds and differential forms. The undergraduate student can closely examine tangent spaces, basic concepts of differential forms, integration on manifolds, Stokes theorem, de Rham- cohomology theorem, differential forms on Riema-nnian manifolds, elements of the theory of differential equations on manifolds (Laplace-Beltrami...
The present book is a marvelous introduction in the modern theory of manifolds and differential forms. The undergraduate student can closely examine t...
Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise cov...
The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as...
The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course i...
"This book will prove to be a good introduction, both for the physicist who wishes to make applications and for the mathematician who prefers to have a short survey before taking up one of the more voluminous textbooks on differential geometry." "MathSciNet (Mathematical Reviews on the Web), " American Mathematical Society A compact exposition of the fundamental results in the theory of...
"This book will prove to be a good introduction, both for the physicist who wishes to make applications and for the mathematician who prefers to have ...
Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section...
Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theo...
This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960 edition.
This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general th...
This outstanding text and reference applies matrix ideas to vector methods, using physical ideas to illustrate and motivate mathematical concepts but employing a mathematical continuity of development rather than a physical approach. The author, who taught at the U.S. Air Force Academy, dispenses with the artificial barrier between vectors and matrices--and more generally, between pure and...
This outstanding text and reference applies matrix ideas to vector methods, using physical ideas to illustrate and motivate mathematical concepts but ...
Geared toward undergraduate students, this text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of two- and three-dimensional space. Its rigorous development includes a complete treatment of the algebra of vectors in the first two chapters. Among the text's outstanding features are numbered definitions...
Geared toward undergraduate students, this text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical...
This text for undergraduates was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. Uses of the potential function, both scalar and vector, are fully illustrated. 1957 edition. 86 figures.
This text for undergraduates was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief...
This concise text for advanced undergraduates and graduate students covers eigenvalue problems in classical physics, orthogonal functions and expansions, the Sturm-Liouville theory and linear operators on functions, and linear vector spaces. It emphasizes the unity of a variety of techniques and is enduringly relevant to many physical systems. 1962 edition.
This concise text for advanced undergraduates and graduate students covers eigenvalue problems in classical physics, orthogonal functions and expansio...
This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include kinematics, mechanics, and electromagnetic theory. Includes exercises and answers. 1955 edition.
This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include...
From his unusual beginning in -Defining a vector- to his final comments on -What then is a vector?- author Banesh Hoffmann has written a book that is provocative and unconventional. In his emphasis on the unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics without using calculus. The result is a treatment that can serve as a supplement and corrective to textbooks,...
From his unusual beginning in -Defining a vector- to his final comments on -What then is a vector?- author Banesh Hoffmann has written a book that is ......
Mathematicians, theoretical physicists, and engineers unacquainted with tensor calculus are at a serious disadvantage in several fields of pure and ap... | 677.169 | 1 |
This course is an accelerated and enriched version of Algebra I, covering the same content at a faster pace and with more depth to allow more time for discussion of advanced algebraic concepts. Additional topics include set theory, Pythagorean Theorem, and algebraic proof. Students also need to be self-motivated and perform work at a high level. As stated above, this is a fast-pace class and students | 677.169 | 1 |
covers the types of calculations that are possible with matrices and provides students with plenty of practice of each calculation.
For each type of calculation there is an introduction, some examples to do as a class and then an exercise for students to work through. In total there are over 60 questions for students to complete, all answers to the exercises are provided.
Note that this resource was designed specifically for the Level 2 Further Maths qualification, but can still be used an introduction to calculations with matrices.
Solving Matrix equations Match Up worksheet.
(Or you could buy my Matrices bundle)
Pupils must complete a number ofFour Matrices Match Up worksheets.
In each worksheet pupils must complete a number of questions to find the solutions on the worksheet. Three solutions will be unused and they can be added together to find a final solution.
Can be used as practice or revision of the topic. Also if pupils get the final solution teachers can be happy the topic is understood without the need for marking. Solutions included.
1. Adding and Subtracting
2. Multiplying
3. Calculating Determinants
4. Matrix Equations
Adding or Subtracting Matrices Match Up worksheet.
(Or you could buy my Matrices bundle)Calculating determinants Matrices Match Up worksheet.
(Alternatively you could buy my Matrices Bundle)
Pupils must complete 15 questions to find the solutions on the worksheet. Three valuesMultiplying Matrices Match Up worksheet.This resource is for an introduction to matrix algebra, such as CIE's IGCSE Mathematics 0580. (E7 Matrices and transformations).
The resource shows that a series of MS Paint transformations can be modeled as a matrix product.
Students calculate the determinant of each matrix. The product is unity- the transformed shape has the same area as the original.
Inverse Matrices - Circuit Training
Find, where possible, the inverses of the following matrices. 12 problems in this product.
All answers are included.
My students love doing these activities.
Thank you for checking my resources.
Matrix Multiplication - Circuit Training 16 problems in this product.
All answers are included.
My students love doing these activities.
Thank you for checking my resources.
This lesson consists of a series of examples which demonstrate how a unit square can be used to determine which transformation a given 2x2 matrix represents. Also the unit square can be used to create a 2x2 matrix.
The lesson concludes with a set of questions for the students to answer.
I tend to use this lesson when teaching the Further Mathematics GCSE. | 677.169 | 1 |
In this course the students apply computational modelling skills for solving differential equations. The focus is on those mathematical techniques which describe rates of change, conservation laws, steady and unsteady equations/ solution methods. The following objectives are achieved in the course:
1. The student is able to review and reproduce analytical and numerical methods for solving linear 1st order and linear 2nd order ordinary differential equations. 2. The student is able to calculate both analytical and numerical solutions of the one-dimensional heat/diffusion equation. 3. The student is able to construct mathematical models to represent physical phenomena, solve the model using analytical and/or numerical techniques, analyse correctly the results in terms of the physical solution. 4. The student is able to use mathematical software (Matlab and/or Mathematica) for solving mathematics models that involves differential equations. 5. The student is able to plan and organize the research work in a team. 6. The student is able to communicate the research results in both written and oral form.
Omschrijving
This course is a first introduction to the mathematical treatment of physical phenomena. It aims to provide the students with some basic modelling skills, which have application to a wide variety of problems. The focus is on those mathematical techniques which describe rates of change, conservation laws, steady and unsteady equations/ solution methods. First, attention is paid to the formulation of a mathematical model that captures a physical phenomenon. Then the mathematical techniques (both analytical and numerical) are discussed, that are needed to solve the model. The main mathematical technique used is that of solving differential equations. In addition, attention is paid to critically interpreting the results in the physical setting.
During the course, the students work in groups. Each group is assigned two problems (projects). The first problem can be solved using ordinary differential equations, the second using partial differential equations. In many cases, numerical methods are needed for solving the equations. A written report has to be delivered for each assignment. Moreover, after each project a short oral presentation is given.
Uren per week
Onderwijsvorm
Hoorcollege (LC), Opdracht (ASM)
(Besides lectures, where theory is discussed, the students work in teams on project assignments where physical phenomena must be described.)
Toetsvorm
Opdracht (AST), Presentatie (P), Verslag (R)
(There are 2 projects. Both projects are closed with a written report and an oral presentation. The grade for each project is composed of the grade for the (ensemble of) report and oral presentation (80%) and the individual contribution of the student to the group work (20%). The final grade is the average of the two grades for the two projects.) | 677.169 | 1 |
an introduction to differential geometry
This outstanding guide supplies important mathematical tools for diverse engineering applications, offering engineers the basic concepts and terminology of modern global differential geometry. Suitable for independent study as well as a supplement......
Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book III is aimed at the first-year graduate level ......
This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.
Author: Guggenheim......
Suitable for advanced undergraduates and graduate students of mathematics as well as for physicists, this unique monograph and self-contained treatment constitutes an introduction to modern techniques in differential geometry. 1995 edition.
Autho......
Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.
Author: Springer,This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. The choice of material presented has evolved from graduate lectures given in London and Oxfor...... | 677.169 | 1 |
Microcomputer Algorithms
Browse related Subjects ...
Read More and physical applications, the book contains the theory of 25 algorithms. The mathematical theory for each algorithm is described in detail prior to discussing the algorithm in full, with complete program listings. The book presents the algorithms in modular form, allowing for easy interpretation, for the adaptation to readers' specific requirements without difficulty, and for use with various microcomputers. Blending mathematics and programming in one volume, this book will be of broad interest to all scientists and engineers, particularly those physicists using microcomputers for scientific problem handling. Students handling numerical data for research projects will also find the book useful.
Read Less
Very Good. Trade paperback (US). Glued binding. Contains: Illustrations, black & white. Stresses the mathematical basis behind the use of many algorithms of computational mathematics, providing descriptions on how to generate algorithms for a large number of different uses. Covering a range of mathematical and physical applications, this book contains the theory of 25 algorithms | 677.169 | 1 |
Mathematics: Its Power and Utility
Browse related Subjects ...
Read More 1111577420Customer Reviews
Mathematics- It's Power and Utility
Excellent material for pre-high school studants, or for people who want to advance their understanding of math. Includes Alegebraic problem solving, Geometry,Statistics, Logic and Sets. Well written, lots of illustrations.
jchglh
Mar 13, 2011
perfect
We got exactly what we needed/ordered - AND - saved a lot of money. Thank | 677.169 | 1 |
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A is for Algebra-and that's the grade you'll pull for those who use Bob Miller's basic consultant to the mathematics path each college-bound child needs to take
With 8 books and greater than 30 years of hard-core school room adventure, Bob Miller is the pissed off student's ally. He breaks down the complexities of each challenge into easy-to-understand items that any math-phobe can understand-and this absolutely up to date moment variation of Bob Miller's Algebra for the Clueless covers every little thing a you must understand to excel in Algebra I and II.
What is the height of the Empire State Building? 147. Janey's six children are making colored eggs for Easter. She bought a total of five dozen eggs for all of the children to use. Assuming each child gets the same number of eggs, how many eggs does each child receive? 148. Arturo worked a 40-hour week at $12 per hour. He then received a raise of $1 per hour and worked a 30-hour week. How much more money did he receive for the first week of work than the second? 151. Antonia purchased a sweater normally priced at $86, including tax.
I. 84. ii. Simplify each of the following as a fraction. 86. i. 87. ii. 88. iii. 89. iv. 90. v. Chapter 4 Following Orders: Order of Operations T he order of operations (also called the order of precedence) provides a clear way to evaluate complex expressions so you always get the right answer. The mnemonic PEMDAS helps you to remember to evaluate parentheses first; then move on to exponents; then multiplication and division; and finally addition and subtraction. The Problems You'll Work On This chapter includes these types of problems: ✓ Evaluating expressions that contain the Big Four operations (addition, subtraction, multiplication, and division) ✓ Evaluating expressions that include exponents ✓ Evaluating expressions that include parentheses, including nested parentheses ✓ Evaluating expressions that include parenthetical expressions, such as square roots and absolute value ✓ Evaluating expressions that include fractions with expressions in the numerator and/or denominator What to Watch Out For Keep the following tips in mind as you work with the problems in this chapter: ✓ When an expression has only addition and subtraction, evaluate it from left to right.
211–225 211. Which of the following numbers have 2 as a factor? 1,234,569 213. Which of the following numbers have 3 as a factor? 3,000 215. Which of the following numbers have 7 as a factor? 181 a factor? 3,000 216. 1,234,569 214. Which of the following numbers have 10 as have? 222,225 217. How many factors does the number 25 have? 1,234,569 45 46 Part I: The Questions 218. How many factors does the number 32 have? Finding Nondistinct Prime Factors 226–232 219. How many factors does the number 39 226. | 677.169 | 1 |
Shortcuts to Success Maths: Leaving Certificate Ordinary Level
Description
This work features: easy to follow examples with explanations in student-friendly terms. All required formulae are highlighted. This work covers both Paper 1 and Paper 2, and includes revision exam techniques.show more | 677.169 | 1 |
Honors Math 8/Algebra I differs from Math 8 in several ways. Students should be prepared to learn topics at an
accelerated rate. Topics that students will study, examine, and apply
will include algebraic functions, real number operations, and data
distributions. Students will study the behavior and characteristics of
quadratic and linear functions, systems of equations, and exponential
equations, as well as piece-wise functions | 677.169 | 1 |
War and Pieces
Will Hansen
Tolstoy's analogy of the correct interpretation of history as similar to following the laws of math and physics. Provides lesson plans and alternatives for calculus students studying intervals and integration. An interdisciplinary approach to integrals.
This is available to members of NCTM. If you are interested in a NCTM membership, join now. You may also purchase this article now for online access. | 677.169 | 1 |
Iterating Linear Functions: An Introduction To Dynamical Systems.
Jonathan Choate and Henri Picciotto
Introduces students to the study of dynamical systems through a number of learning activities that explore functions in general and linear and exponential functions in particular. Students use calculators to interpret graphs, find patterns in tables of data, and also use algebra.
This is available to members of NCTM. If you are interested in a NCTM membership, join now. You may also purchase this article now for online access. | 677.169 | 1 |
As we known that algebra is the most difficult and annoying chapter in math, especially in college algebra. If you are a student is looking for college algebra help, or math teacher for writing teaching plans for algebra. Post your algebra solver question on bidanswer.com, our experts would answer your question online for free.
This website will save you a lot of money time and energy. BidAnswer is a site that provides a way for the user to attain knowledge for practically any topic they choose. You can also answer other question to earn money. BidAnswer hopes to provide a quick and easy alternative. | 677.169 | 1 |
FSc Math Book1, CH 6, LEC 1: Introduction of Sequences
This video lecture is from Sequences and Series (F.Sc first year Mathematics) covers an introduction to Sequences. What are different types of sequences and how generally the sequences are made. Find more e-learning material and educational video lectures in Urdu at maktab.pk. These videos are free to use for promotional and commercial purpose by keeping the credits to Maktab. | 677.169 | 1 |
Gattegno's Literal Study Worksheets Textbook 1
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This set is meant to accompany Gattegno's Literal Study in Textbook 1. It comes with 49 worksheets. Seven worksheets are designed to give students a place to generate their own math. Laminate these sheets and use over and over.
Answer key is provided. A poster for students to reference for letter abbreviations of the rods has been provided. | 677.169 | 1 |
RAL
Ideal math issue solver That will Cause you to an improved College student
In a few courses, all it takes to pass an test is note having, memorization, and recall. Having said that, exceeding inside a math course usually takes a different kind of energy. You cannot simply just demonstrate up to get a lecture and observe your instructor "talk" about math and . You master it by doing: paying attention in class, actively researching, and fixing math challenges – regardless if your teacher has not assigned you any. In case you end up struggling to carry out properly inside your math class, then go to very best web-site for solving math issues to find out how you could become an improved math college student.
Low cost math authorities on the net
Math abstract math problems classes adhere to a organic development – each one builds upon the expertise you have received and mastered in the previous program. In case you are acquiring it challenging to comply with new principles at school, pull out your previous math notes and review previous material to refresh oneself. Ensure that you meet up with the prerequisites just before signing up for a class.
Evaluate Notes The Night Before Class
Detest any time a trainer calls on you and you have overlooked how you can fix a selected problem? Keep away from this moment by reviewing your math notes. This will likely assist you figure out which concepts or concerns you'd wish to go above in school the next day.
The considered doing research every single evening could seem annoying, but when you would like to reach , it is actually essential that you consistently observe and grasp the problem-solving approaches. Make use of your textbook or on the internet guides to work by way of prime math challenges over a weekly basis – regardless if you have got no homework assigned.
Use the Nutritional supplements That include Your Textbook
Textbook publishers have enriched present day publications with added content (which include CD-ROMs or on-line modules) that may be utilized to support pupils gain additional observe in . Some of these supplies can also consist of a solution or rationalization guide, which often can enable you to with doing work through math issues on your own.
Go through Ahead To stay Ahead
If you want to lessen your in-class workload or perhaps the time you spend on research, use your free time right after faculty or around the weekends to study forward into the chapters and concepts that may be protected the next time you might be in school.
Review Aged Tests and Classroom Illustrations
The operate you do in school, for homework, and on quizzes can supply clues to what your midterm or final examination will search like. Make use of your aged checks and classwork to produce a individual analyze guideline for the forthcoming exam. Appear for the way your teacher frames thoughts – this is almost certainly how they will appear in your check.
Discover how to Perform Because of the Clock
That is a well known review idea for individuals taking timed exams; particularly standardized checks. If you have only forty minutes to get a 100-point exam, then you can certainly optimally commit 4 minutes on every single 10-point issue. Get facts regarding how extended the examination will be and which styles of inquiries are going to be on it. Then program to attack the better issues 1st, leaving yourself more than enough the perfect time to expend around the more tough ones.
Maximize your Means to get math homework enable
If you're obtaining a hard time being familiar with principles in class, then be sure to get support outside of course. Talk to your pals to create a examine group and check out your instructor's business office hours to go over challenging complications one-on-one. Show up at review and evaluation periods once your teacher announces them, or employ a personal tutor if you want one particular.
Chat To Oneself
After you are reviewing difficulties for an test, test to explain out loud what technique and methods you utilized to obtain your solutions. These verbal declarations will appear in helpful during a examination whenever you ought to remember the techniques you must just take to find a option. Get further observe by making an attempt this tactic with a pal.
Use Study Guides For Excess Practice
Are your textbook or class notes not helping you recognize that which you ought to be learning at school? Use examine guides for standardized exams, including the ACT, SAT, or DSST, to brush up on old content, or . Study guides usually appear equipped with comprehensive explanations of ways to solve a sample problem, , so you can usually obtain in which will be the greater acquire mathproblems. | 677.169 | 1 |
lahoma testClick to expand...
Mostly an overview of physics that uses mathematics, including calculus, so that quantitative calculations can be performed. | 677.169 | 1 |
Department of Mathematics
Five Colgate students took part in the 2015 Putnam competition. They placed 54th out of 447 teams, up five spots from last year. Haochuan Wei '16 also won first prize in RIT's 2016 Probability/Statistics competition.
About Mathematics
As a department, we meet the needs of students like you in a number of ways. Each year, we prepare students to go on to graduate school in mathematics, applied mathematics, operations research, or other related fields. We also prepare students for careers in finance, business administration, law, medicine, education and scientifically-oriented industries.
We also have plenty to offer, even if you major in a different area. Non-majors often require mathematical skills to carry on work in other disciplines. Regardless of your interests, you can also use the study of mathematics to assist you in forming habits of precise expression, in developing your ability to reason logically, and to learn how to deal with abstract concepts.
Not to mention that mathematics is an art form in its own right -- to be studied for its own intrinsic beauty! After all, three of the original seven liberal arts are logic, arithmetic and geometry. | 677.169 | 1 |
Extreme Value Theorem Task Cards
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These 24 cards are separated into 6 sets of four cards.
Set 1 (Cards 1-4): Explain why the EVT does or does not guarantee the existence of an absolute maximum and minimum on the given domain
Set 2 (Cards 5-8): Locate all local and global extrema on the graph.
Set 3 (Cards 9-12): Find critical values graphically and analytically.
Set 4 (Cards 13-16): Given a function, find all critical values analytically.
Set 5 (Cards 17-20): Find all absolute extrema.
Set 6 (Cards 21-24): Rolle's Theorem - Finding locations where f '(c)=0 and deciding if Rolle's Theorem can be applied
All the cards require the students to understand the need for a function to be continuous on a closed interval to apply the extreme value theorem. Using a graph, students will be asked to identify local and global extrema. Students will find critical
values both graphically and analytically. On other cards students will find the absolute extrema. The last set of cards has students consider whether Rolle's Theorem can or cannot be applied to the described function. Students will asked to explain their reasoning on many of the cards.
3. The cards can be set up in 6 stations and students can be asked to complete
either 1, 2, 3, or 4 cards in the set. | 677.169 | 1 |
Overview
Elementary Mathematics from an Advanced Standpoint: Geometry by Felix Klein
"Nothing comparable to it." — Mathematics Teacher. This comprehensive three-part treatment begins with a consideration of the simplest geometric manifolds: line-segment, area, and volume as relative magnitudes; the Grassmann determinant principle for the plane and the Grassmann principle for space; classification of the elementary configurations of space according to their behavior under transformation of rectangular coordinates; and derivative manifolds. The second section, on geometric transformations, examines affine and projective transformations; higher point transformations; transformations with change of space element; and the theory of the imaginary. The text concludes with a systematic discussion of geometry and its foundations. 1939 edition. 141 figures analytic we analytic weThe French priest offers his predictions for the country, which are largely concerned with religious
groups; he also examines various social institutions, such as schools, and expresses concern regarding employment issues. He is also extremely interested in immigration andStudents can rely on Moise's clear and thorough presentation of basic geometry theorems. The author
assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors ...
Makes the reader feel the inspiration that comes from listening to a great mathematician. —
Bulletin, American Mathematical SocietyA distinguished mathematician and educator enlivens abstract discussions of arithmetic, algebra, and analysis by means of graphical and geometrically perceptive methods. His ...
This book combines the Elementary Math and the Intermediate Math of the fifth editions into
a single volume. The arithmetic topics include whole numbers, fractions, decimals, the percent symbol (%); ratio, proportion, areas, perimeters, scientific notation, and measurements. The elementary ...
This short book, first published in 1897, addresses three geometry puzzles that have been passed
down from ancient times. Written for high school students, this book aims to show a younger audience why math should matter and to make the ... | 677.169 | 1 |
Algebra in Words: A Guide of Hints, Strategies and Simple by Gregory P. Bullock Ph.D.
By Gregory P. Bullock Ph.D.
When you are looking readability and luck in studying (or instructing) algebra, this is often the booklet you're looking for. one of many greatest lacking elements in math schooling is communique. This ebook presents that lacking aspect. it's a own train by way of your facet, translating the maths into phrases, explaining what issues suggest, providing you with clues to appear for, and telling you ways to unravel difficulties. This advisor makes a speciality of all of the very important issues of algebra together with: -Linear Equations -Systems of Linear Equations -Factoring -Trinomials -Quadratic Equations -Complex Rational Expressions -Powers and Radicals This publication explains this possible complex topic via specific sections you will not locate in the other learn advisor equivalent to: -Obscure houses of 0, One and Negatives -The genuine Order of Operations -The best quantity Multiples desk -Is fifty one a primary quantity? -GCF vs. liquid crystal display -What Does "Undefined" suggest? -Parallel & Perpendicular traces on a Graph -What Does "Solving when it comes to" suggest? -The other way to Simplify a Rational Expression -The half everybody Forgets (The final Step of the Quadratic Equation) -Special phrases for unique circumstances -Prime vs. No answer -The All-LCD procedure -Cross-Multiplying vs. pass Cancelling -List of universal Radical Fingerprints -Manipulating & Simplifying Radicals -The Meanings of "Cancelling Out" -What Does "Error" on a Calculator suggest? -Scientific Notation in your Calculator -FMMs (Frequently Made Mistakes). This ebook includes: -Step-by-step directions -Annotated examples -Detailed descriptions -Detailed desk of Contents for speedy subject referencing And: -will assist you strategy what you notice and listen to -will inform you find out how to write and communicate the mathematics -highlights the main quite often made blunders -connects key subject matters that go via various chapters this is often the right resourceto assist you with homework or arrange for an examination. it is going to aid any heart college, highschool or collage pupil solidify the real basics utilized in simple math, Algebra I, Algebra II, Introductory Algebra, simple Algebra, Intermediate Algebra, university Algebra, Pre-Calculus or even Calculus. through the writer of GRADES, cash, well-being: The e-book each collage scholar should still learn (2010), this can be the e-book each math pupil must have. make the most of this booklet to get a clearer figuring out of algebra, to enhance your grades... and to profit why GEMA is the hot PEMDAS! This publication makes a superb present for eighth grade, junior excessive and highschool (college certain) graduates.
Many primary combinatorial difficulties, bobbing up in such assorted fields as synthetic intelligence, common sense, graph idea, and linear algebra, may be formulated as Boolean constraint pride difficulties (CSP). This e-book is dedicated to the examine of the complexity of such difficulties. The authors' objective is to boost a framework for classifying the complexity of Boolean CSP in a uniform manner.
Additional info for Algebra in Words: A Guide of Hints, Strategies and Simple Explanations
Example text
In the meantime, I hope this book helps you realize that these concepts are closely connected and not just separate entities. Below are simple examples of an expression and an equation. Notice the small details which set them apart. An expression: 3x2 + x - 10 An equation: 3x2 + x – 10 = 0, or Also an equation: y = 3x2 + x - 10 LINEAR EQUATIONS A linear equation is an equation of the first degree; it produces a straight line. Lines are generally known to have: a slope (m), one y-intercept (b), one x-intercept (there is no symbol, but the x-intercept is x when y = 0), and the (slope-intercept) form: y = mx + b.
This is a frequently made mistake. Also, when distributing an exponent, do not forget to apply that power to the coefficient if there is one. This is another common mistake, often forgotten by students. This may be because students look for the conspicuous exponents written with the obvious variables, but when coefficients don't have exponents associated with them, they are just shown with an inconspicuous unwritten power of 1. SOLVING SIMPLE ALGEBRAIC EQUATIONS Solving a Simple Algebraic Equation with One Variable (First Degree) The goal is to completely isolate the variable and to have it equal a number, which is the answer.
If anything, consider PEMDAS a loose reminder of the complete Order of Operations, although if it were up to me, PEMDAS be thrown away completely and replaced with GEMA: Groups (simplify, inner to outer) Exponents or roots Multiplication or division Addition or subtraction Actually, since: Roots are technically a form of exponents, when converted to rational exponents*; Division is technically multiplication of a fraction; and Subtraction is technically addition of negative numbers, it could even be condensed to just: Groups, Exponents, Multiplication, Addition *Note: Roots are converted to "rational exponents" when the radical sign is removed and the root-number is moved to the denominator of the exponent. | 677.169 | 1 |
math operations). The variables for calculation are essentially the values of other elements that are | 677.169 | 1 |
Homework
I will assign homework nearly every day (except exam days),
covering the material from the lecture given that day, and due the next day.
However, in case you have any questions about a homework assignment,
we can discuss it during the first quarter hour or so of the day that it's due.
During this time, I'll try to ensure that everybody knows how to do it.
So that you're not working on homework during the lecture,
you may always turn in homework assignments up to one class day late.
Homework problems will come in two forms:
Practice problems and Due problems.
Generally, the Practice problems will come from the textbook,
while I will write the Due problems myself,
(although there may be exceptions).
Only the Due problems actually need to be handed in.
You don't have to turn in the Practice problems, but you should try them!
If you find them easy, then you can skip to the next batch,
but the Practice problems will usually help you with the Due problems.
In any case, you'll need to practise the material
if you want to remember it
for the exam, a subsequent course, or the rest of your life.
As you do your homework,
I encourage you to talk with your fellow students.
In my class, this is not cheating!
However, the final result that you turn in to me
must be your own work, written by you in your own words;
you should understand (at least more or less) what you've written.
Don't turn in anything that you copied from another person,
and don't have other students copy from what you plan to turn in.
You can also look at other books and talk to other people,
but the same rules apply as if those books or people were your fellow students:
Understand what you turn in, and don't copy their words.
If you miss the homework,
you can download it here
in either PostScript
or
PDF
form.
After I return a homework assignment, I'll post my solutions here too. | 677.169 | 1 |
The Art of Problem Solving, Vol. 2: And Beyond Art of Problem Solving, Volume 2, is the classic problem solving textbook used by many successful high school math teams and enrichment programs and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team. Volume 2 is appropriate for students who have mastered the problem solving fundamentals presented in Volume 1 and are ready for a greater challenge. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book. Speaking of problems, the Art of Problem Solving, Volume 2, contains over 500 examples and exercises culled from such contests as the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual. (Please note: The new 7th edition features a different look from previous editions, but has the same content.) | 677.169 | 1 |
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Description
Shapes are everywhere, and understanding geometric properties is an essential part of math education. A comprehensive introduction to geometry is told through relatable narratives and real-world situations, teaching readers how to recognize geometry in everyday life. Engaging visuals and age-appropriate content work together to reinforce complex math concepts. Math students will learn how to recognize and draw their own polygons through this exciting narrative. This volume meets CCSS Math Standard 2.G.A.1. | 677.169 | 1 |
user-friendly workbook improves both student understanding and retention of algebra concepts through a series of activities and guided explorations using the graphing calculator. An ideal supplement for any college algebra or trigonometry course, EXPLORATIONS IN PRECALCULUS, Third Edition is a useful tool for integrating technology without sacrificing content. By clearly and succinctly teaching keystrokes, class time is devoted to investigations instead of how to use a graphing calculator.
Arranged by topics, this workbook enables the instructor to assign the appropriate Explorations Unit(s) that correlate(s) with the topic under discussion in the classroom. The workbook has a flexible organization. Each unit has one or more prerequisite units that are required for student success in working the assigned unit. This allows the use of this ancillary text with any core course textbook. Charts that correlate the concepts from textbook sections with specific Explorations units are available in the Instructor Resources section of the Book Companion Web Site. The Companion Web Site can be accessed at
Meet the Authors
Deborah Jolly Cochener,
Austin Peay State University
Debbie Cochener received her Bachelor of Arts followed by a Master of Arts in teaching from Angelo State University. She is currently an Associate Professor at Austin Peay State University in Clarksville, Tennessee. As a member of several mathematical associations such as the Mathematical Association of America, The National Council of Teachers of Mathematics, The Tennessee Mathematics Teachers Association, she keeps very up-to-date with current topics in her field. She has co-authored several graphing calculator manuals for classroom use.
Bonnie M. Hodge,
Austin Peay State University
Bonnie Hodge received her Bachelor of Science and Master of Science in Mathematics from Troy State University in Alabama. She currently teaches full time at Austin Peay State University. | 677.169 | 1 |
The fifth edition of "Fundamentals of Algebraic Modeling" strives to show the student connections between math and their daily lives. Algebraic modeling concepts and solutions are presented in non-threatening,
This straightforward guide describes the main methods used to prove mathematical theorems. Shows how and when to use each technique such as the contrapositive, induction and proof by contradiction. Each method is illustrated by step-by-step examples. | 677.169 | 1 |
Contemporary Issues In Mathematics Education
Paperback | June 13, 1999 past decade, mathematics education has changed rapidly, giving rise to a polarization of opinions among the community of research mathematicians. What is the appropriate balance among theory, technique, and applications? What is the role of technology? How do we fulfill the needs of students entering other fields? The purpose of this volume, the proceedings of a conference held at the Mathematical Sciences Research Institute in Berkeley in 1996, is to present a serious discussion of these educational issues, with a balanced representation of opposing ideas. Part I deals with general issues in university mathematics education; Part II presents case studies on particular projects; Part III presents a range of opinions on mathematics education in elementary and secondary schools; and Part IV presents the reports of the working groups.
"...an excellent book for mathematicians and mathematics educators alike...All of the essays and reports are well thought out, well written, and thought-provoking. This book provides a prototype for dialog between mathematicians and mathematics educators. As such, it is an invaluable model for mathematicians and mathematics educators to follow in coming together to share ideas...I recommend it to any mathematician or mathematics educator who is genuinely interested in what the 'other side' has to say." MAA Online | 677.169 | 1 |
Functions, Spaces, and Expansions
This text presents a detailed exposition of key mathematical tools in analysis. Each topic covered was chosen because it plays a role beyond the field of pure mathematics, so the text is useful in exploring the computational areas of physics and engineering. | 677.169 | 1 |
A modern approach to mathematical modeling, featuring unique applications from the field of mechanics. An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physics.
The fifth edition of "Fundamentals of Algebraic Modeling" strives to show the student connections between math and their daily lives. Algebraic modeling concepts and solutions are presented in non-threatening,
by Maia Martcheva (Author) A comprehensive introduction to mathematical epidemiology accelerating from beginner to advanced research level Provides detailed introduction to applied dynamical systems while linking to epidemiological concepts Uses data to complement model development and analysis Highly illustrated with exercises included at the end of each chapter Includes code in MATLAB for simulations and fitting | 677.169 | 1 |
Algebra Can Be Fun by Yakov Isidorovich Perelman, V. G. Boltyansky, George
It is a booklet of enjoyable difficulties that may be solved by utilizing algebra, issues of fascinating plots to excite the readers interest, a laugh tours into the historical past of arithmetic, unforeseen makes use of that algebra is positioned to in daily affairs, and extra. Algebra could be enjoyable has introduced thousands of children into the fold of arithmetic and its wonders. it really is written within the kind of full of life sketches that debate the multifarious (and exciting!) purposes of algebra to the realm approximately us. right here we come across equations, logarithms, roots, progressions, the traditional and recognized Diophantine research and lots more and plenty extra. The examples are pictorial, bright, usually witty and produce out the essence of the problem to hand. there are lots of tours into heritage and the background of algebra too. not anyone who has learn this booklet will ever regard arithmetic back in a lifeless gentle» Reviewers regard it as one of many most interesting examples of well known technological know-how writing.
Linear types: An built-in procedure goals to supply a transparent and deep realizing of the final linear version utilizing uncomplicated statistical rules. based geometric arguments also are invoked as wanted and a overview of vector areas and matrices is supplied to make the remedy self-contained. complicated, matrix-algebraic equipment, equivalent to these utilized in the rank-deficient case, are changed by means of statistical proofs which are extra obvious and that convey the parallels with the straightforward linear version.
Tensors are ubiquitous within the sciences. The geometry of tensors is either a robust software for extracting details from facts units, and a gorgeous topic in its personal correct. This e-book has 3 meant makes use of: a school room textbook, a reference paintings for researchers within the sciences, and an account of classical and sleek ends up in (aspects of) the idea that may be of curiosity to researchers in geometry.
Having learn a number of books at the topic, i actually imagine this is often an amazing selection for any introductory Linear Algebra path. Poole's emphasis is obviously on clarity for a number scholars and development intuitive knowing on a vector-based starting place (where different texts have you ever lose sight of this via never-ending computations and units of matrices). | 677.169 | 1 |
THE MATHEMATICS OF COMPUTER GRAPHICS
This is a one-semester graduate course that focuses on
geometric (`vector') graphics and geometric modeling,
rather than on bitmap (`raster') graphics, or
graphics programming. It does not overlap with
CSc 433/533.
In particular, it does not cover OpenGL programming.
But it does cover the vector graphics support in several
programming and
CAD-related
environments, such as the Postscript programming language and the new
XML-based SVG (Scalable Vector Graphics) format.
Prerequisites:
CSc 352,
and also Math 215, Math 322, or Math 410. Together these ensure
a good basic knowledge of programming environments and linear algebra.
Rudimentary knowledge of calculus will be assumed too, but
linear algebra will play a more important role.
Bézier curves and other standard families of curves.
De Casteljau's
algorithm for drawing Bézier curves. The effects of geometric
transformations on standard families of curves.
Projective geometry and its relevance to engineering graphics.
Basic theorems of projective geometry, such as the five-point theorem
("five points, no three of which are collinear, determine a
nondegenerate conic section"). Projective generalizations of Bézier
curves, and the projective De Casteljau algorithm.
Polynomial elimination, via the computation of resultants and
other algorithms, as a means of determining where two algebraic curves
will intersect.
[As time permits...] Surface theory. The extension of most of
the above topics from two to three dimensions, i.e., from curves
to surfaces.
[If time permits...] The mathematics of color models. (But note that shading,
texture mapping, and ray tracing are outside the scope of this course.)
Also, the vector graphics support in several programming and CAD environments,
including:
The rudiments of Postscript programming, with an emphasis on the
Bézier curve support, and the curve and area rasterization performed by
any Postscript interpreter. The Postscript Language Tutorial is a useful reference.
The curve rasterization performed by the vector graphics code in
X Window System displays. (I've converted that code into a free,
portable package. See the
libxmi home page.)
Several file formats for storage of vector graphics data.
This includes the format used by the xfig drawing editor and the format
used by Adobe Illustrator. Also, the ISO-standardized CGM [Computer
Graphics Metafile] format, and the SVG [Scalable Vector Graphics]
format. SVG is an
XML-based format which
may become the standard vector
graphics format for the Web. It is now being standardized by the
W3 Consortium. See
the SVG home page.
Grading Policy: The course grade will be based on the
completion of several math-related assignments, and either a comprehensive
final exam or a term project, which, unlike the assignments, may be
programming-related. | 677.169 | 1 |
MIT OpenCourseWare
Mathematics illuminates the patterns and constructions all around us. Our dynamic displays , gallery , and programs will stimulate inquiry, spark curiosity, and reveal the wonders of mathematics. The brand new Program on Mathematics and its Purposes presents students an enhanced portfolio of topics of their degree applications, and allows the Department to better prepare them to work efficiently in several aspects of science, technology and commerce.
If their research interests embody a well being connection, school members in mathematical biology have extra potential funding sources than different applied mathematicians, the key supply being the Canadian Institutes of Health Analysis (CIHR).
Evidence for extra advanced mathematics does not seem till round 3000 BC , when the Babylonians and Egyptians began utilizing arithmetic , algebra and geometry for taxation and different monetary calculations, for building and construction, and for astronomy 20 The earliest uses of mathematics have been in trading , land measurement , painting and weaving patterns and the recording of time.
Out there to 1st, 2nd and third year students, with good leads to Mathematics either at Macquarie or at one other College, who intend to proceed with and enrol in further Mathematics units in 2016 (for third 12 months college students this could mean they might be making use of for Mathematics MRes).
The school is oriented to young researchers, PhD and postdoctoral college students in Mathematics, Physics, and Engineering, particularly these eager about focusing their research on geometric control and its functions to mechanical and electrical programs, and optimum management. | 677.169 | 1 |
12 free SAT math practice tests on problem solving. Over 100 SAT math questions to help you with your SAT prep. Studies show that lots of math practice leads to better math grades. Practice math problems are a great way for kids to get extra math practice. Math word problems. The Art of Problem Solving mathematics curriculum is designed for outstanding math students in grades 6-12. Our texts offer broader, deeper, and more challenging. The main reason for learning all about math is to become better problem solvers in all aspects of life. Here are problem solving strategies for math.
Problem solving math problems
What Is A 'Problem-Solving Approach'? As the emphasis has shifted from teaching problem solving to teaching via problem solving (Lester, Masingila, Mau, Lambdin, dos. Here are math problem solving strategies, including a 4-step process that involves clues, game plan, solve and reflect. Know what to look for. Solve calculus and algebra problems online with Cymath math problem solver with steps to show your work. Get the Cymath math solving app on your smartphone. Techniques and strategies for solving math word problems.
Tips on how to study mathematics, how to approach problem-solving, how to study for and take tests, and when and how to get help. Contents. Step-by-Step Calculator Solve algebra Math can be an intimidating subject. Each new topic we learn has symbols and problems we have never seen. Algebra Calculator. in Math Calculators. Welcome to the algebra calculator a supportive tool which provides you with the complete steps used to solve each problem. Solve your problems online with our problem solver. If you have trouble with mathematics problem solving skills, please read on. You are going to learn the art of problem solving in math by following only five.
QuickMath allows students to get instant solutions to all kinds of math problems, from algebra and equation solving right through to calculus and matrices. Find here an annotated list of problem solving websites and books, and a list of math contests. There are many fine resources for word problems on the net! have. Here's our set of cool math games, practice problem generators and free online flash cards for Arithmetic through Algebra. Translating Word Problems:. once you get the math equation The first step to effectively translating and solving word problems is to read the problem entirely. Math Word Problem Worksheets Word problems where students use reasoning and critical thinking skill to solve each problem. Math Word Problems (Mixed. | 677.169 | 1 |
Well of course there is. If you are confident about learning math fomula chart for 7th grade, then Algebrator can be of great benefit to you. It is designed in such a way that almost anyone can use it. You don't need to be a computer expert in order to operate the program.
I am a frequent user of Algebrator and it has really helped me comprehend math problems better by giving detailed steps for solving. I recommend this online tool to help you with your algebra stuff. You just need to follow the instructions given there. | 677.169 | 1 |
It all depends on how far and how deeply each book goes. I've seen stats 1 & 2 books that only took the subject to 'A' level not degree level.
What do you mean by applied maths. To me it would include mechanics, electromagnetic theory up to Maxwell's equations, relativity and hydrodynamics. Possibly other areas.
I've got all my physics books, I was wondering more specifically about the math. what does 'A' level mean? I've looked at a lot of college websites to see what their curriculum was like and I think I've got it covered but I still want a second opinion.
to wj2cho, my discrete math books cover that, I also got a students guide to maxwells equations and mathematicas for the physical sciences as well as some more mathematical methods books in pdf that I grabbed off of uni courses.
I wouldn't take a stats course or waste my time reading a stats book unless it was post calculus based statistics because otherwise its just watered down, useless information that you can learn in easily by doing post calculus stats | 677.169 | 1 |
About The Book Keeping oneself updated with current affairs and having a stronghold on general knowledge canboost up the self esteem and confidence of any person. Hence general knowledge has become animportant section in various competitive exams; be...
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About The Book PAPER I : GENERAL ABILITY TEST GENERAL AWARENESS 1. Science and Technology 2. World 3. Literature 4. Sports 5. Indian History 6. Geography 7. Indian Polity 8. Indian Economy 9. Current Affairs ENGLISH 1. Spotting Errors 2. Sentence Cor...
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Content Chapter Prologue 1. To Deliver you from the Preliminary Terrors 2. On Different Degrees of Smallness 3. On Relative Growings 4. Simplest Cases 5. Next Stage. What to do with Constants 6. Sums, Difference, Products, and Quotients 7. Successive...
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M.S. Mathematics
The mission of the graduate program in mathematics is to provide students with advanced
mathematical skills which enable them to reason quantitatively and analytically.
We prepare students with the underlying principles necessary to perform research to
apply in a real world environment.
G1: Core Competency Students will have a knowledge and understanding of fundamental concepts and methods
in various areas of mathematics.
Students will be able to demonstrate knowledge, and apply concepts and methods of
Advanced Linear Algebra.
Students will be able to demonstrate knowledge, and apply concepts and methods of
Analysis.
Students will be able to demonstrate knowledge, and apply concepts and methods of
Applied Statistics.
Students will be able to demonstrate knowledge, and apply concepts and methods of
Abstract Algebra.
G2: Logical Skills
Students will be able to handle mathematical proofs at the graduate level.
Students will be able to write precise and clear mathematical proofs which are well-
organized and logically sound.
Students will be able to read and understand proofs.
G3: Communication Skills Graduates will be able to communicate mathematical ideas and arguments in a well-organized,
clear, efficient and precise way both orally and in writing, using appropriate mathematical
terminology.
Students will be able to use the library to find books and journal articles on a specified
mathematical topic.
Students will be able to state a problem accurately, articulate assumptions, and describe
a method of solution.
Students will be able to write reports that include mathematical content which is
mathematically accurate and accessible to undergraduate students
Students will be able to give oral presentations that include mathematical content
which is mathematically accurate and accessible to undergraduate students. | 677.169 | 1 |
will go over all the vocabulary for this chapter. We must be able to classify polynomials by both degree and number of terms. | 677.169 | 1 |
Description
Graph theory offers a rich source of problems and techniques for programming and data structure development, as well as for understanding computing theory, including NP-Completeness and polynomial reduction. A comprehensive text, Graphs, Algorithms, and Optimization features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. The book covers major areas of graph theory including discrete optimization and its connection to graph algorithms. The authors explore surface topology from an intuitive point of view and include detailed discussions on linear programming that emphasize graph theory problems useful in mathematics and computer science. Many algorithms are provided along with the data structure needed to program the algorithms efficiently. The book also provides coverage on algorithm complexity and efficiency, NP-completeness, linear optimization, and linear programming and its relationship to graph algorithms.Written in an accessible and informal style, this work covers nearly all areas of graph theory. Graphs, Algorithms, and Optimization provides a modern discussion of graph theory applicable to mathematics, computer science, and crossover applications.show more | 677.169 | 1 |
Pre-Calculus: Functions
Pre-Calculus: Functions
Pre-Calculus: Functions
University of California, Irvine
About this course: This
In this module, we explore quadratic equations and graphs. We also introduce the notion of inverse functions. Finally, we will learn about polynomial properties and practice some methods for polynomial root finding.
Exponential and logarithmic functions are two important functions that are useful in applications of calculus. We will discuss properties and graphs of these special functions. We will also learn to solve equations involving exponential and logarithmic functions.
Leitura: Exponential and Logarithmic Equations and Graphs: Readings and Exercises
Video: Evaluating Logarithmic Expressions
Video: Solving Logarithmic Equations
Video: Exponential Graphs
Video: Logarithmic Graphs
Graded: Exponentials and Logarithms
Graded: Exponential and Logarithmic Equations and Graphs
WEEK 8
Pre-Calculus Functions Final Exam
Now is your opportunity to review the topics from this course. The comprehensive final exam is your chance to demonstrate your conceptual understandings of functions and algebraic computational skills 216 ratings
An excellent course for everyone in need of refreshing their knowledge of functions. Highly recommended! | 677.169 | 1 |
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65-413 Algebraic Geometry
This class gives a first introduction into algebraic geometry with an emphasis on the relation between geometry and algebra. The central concept is that of a variety over a field, given by a number of polynomial equations.
The geometric view on algebra has a long and rich history. Today algebraic geometry with its various ramifications provides one of the central techniques in pure mathematics. | 677.169 | 1 |
The new edition of BEGINNING & INTERMEDIATE ALGEBRA is an exciting and innovative revision that takes an already successful text and makes it more compelling for today's instructor and student. The authors have developed a learning plan to help students succeed and transition to the next level in their coursework. Based on their years of experience in developmental education, the accessible approach builds upon the book's known clear writing and engaging style which teaches students to develop problem-solving skills and strategies that they can use in their everyday lives. The authors have developed an acute awareness of students' approach to homework and present a learning plan keyed to Learning Objectives and supported by a comprehensive range of exercise sets that reinforces the material that students have learned setting the stage for their success.
"Sinopsis" puede pertenecer a otra edición de este libro.
About the Author:
Rosemary Karr graduated from Eastern Kentucky University (EKU) in 1976 with a B.S. in Mathematics, attained her M.A. at EKU in Mathematics Education in 1981, and earned her Ph.D. from the University of North Texas in 1996. After two years teaching high school mathematics, she joined the faculty at Eastern Kentucky University, where she earned tenure as Assistant Professor of Mathematics. A professor of mathematics at Collin College in Plano Texas since 1990, Prof. Karr has written more than ten solutions manuals, presented numerous papers, and been an active member in several educational associations (including President of the National Association for Developmental Education). She has been honored several times by Collin College, and has received such national recognitions as U.S. Professor of the Year (2007), Minnie Stevens Piper Professor (2008), and CLADEA fellow (2012).
Marilyn Massey teaches mathematics at Collin College in McKinney, Texas. She has been President of the Texas Association for Developmental Education, featured on the list of Who's Who among America's Teachers and received an Excellence in Teaching Award from the National Conference for College Teaching and Learning. Professor Massey has presented at numerous state and national conferences; her article "Service-Learning Projects in Data Interpretation" was one of two included from community college instructors for the Mathematical Association of America's publication, Mathematics in Service to the Community. She earned her Bachelor's degree in Secondary Education from the University of North Texas and Master's Degree in the Art of Teaching Mathematics from the University of Texas at Dallas.
R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.
Review:
"This book appears to be an attempt to cover all the topics of two traditional courses in a way that could work better for students. There are many students who are not successful in these courses and I welcome this approach. At our school as at many others, the choice of textbook is the work of a committee whose members have different concerns and teaching styles. This book might be a good compromise for the various viewpoints." - Daisy McCoy, Lyndon State College
"I have taught both Elementary and Intermediate Algebra from the Gustafson texts for more than 20 years. I find the level of material and writing style to be excellent preparation for students continuing on to College Algebra. Students find the text easy to read and appreciate the helpful features including the vocabulary, examples, application problems, Chapter Tests and Cumulative Review Problems." - Joan M. Haig, University of Alaska Anchorage136291
Descripción Cengage Learning3913637 | 677.169 | 1 |
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