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The National Security Agency (NSA) has worked to craft these educational materials they are calling "concept development units" (CDUs). The units are divided into 11 sections, including Algebra, Calculus, and Data...
Bates College in Maine has worked diligently to bring together this set of mathematical resources to the public, and it's a nice find. The materials here are drawn from four courses at the school: Math 105, Math 106,...
Created by staff members at the University of Arizona's Center for Recruitment & Retention of Mathematics Teachers (CRR), Do the Math is a weekly cable television show that features mathematics teachers explaining key...
A free series of textbooks on the subjects of electricity and electronics. These books DC, AC, Semiconductors, Electronics, Digital, Reference, and Experiments, and all related files are published under the terms and...
Teaching college mathematics can be a daunting task, indeed. It's nice for seasoned professionals and others to have a solid primer on the subject and this guide from Professor Suzanne Kelton is quite useful. The... | 677.169 | 1 |
This webinar discusses how to teach concepts in Math and Physics using Symbolic Math Toolbox and MUPad notebook interface.
Topics include:
* Using symbolic computation for common tasks such as solving, simplifying, and plotting equations, and performing other calculations such as derivatives, integrals, limits, and inverses
* Creating interactive animations to demonstrate concepts during class
* Developing curriculum materials and homework assignments using the MuPAD notebook interface | 677.169 | 1 |
Math Intro Fall 07
1.
Welcome to Geometry Mrs. Herbison Room 201
2.
Introductions <ul><li>What is your name? </li></ul><ul><li>What town are you from? </li></ul><ul><li>Which trade are you in? </li></ul><ul><li>Why did you choose Monty Tech? </li></ul><ul><li>What would you like to get out of this class? </li></ul>
3.
My Objectives <ul><li>Each student will: </li></ul><ul><li>Learn the vocabulary of geometry </li></ul><ul><ul><li>Hint: You already know most of the concepts in the beginning chapters because they are common sense. You just need to learn the vocabulary. </li></ul></ul><ul><li>Learn how to apply geometry in useful ways </li></ul><ul><li>Increase logic skills </li></ul><ul><li>Provide helpful feedback to me on how to teach Geometry </li></ul>
4.
<ul><li>CLASS RULES: </li></ul><ul><li>Respect fellow class members and teachers. </li></ul><ul><li>Come to class prepared -- pencil, notebook, 3-ring binder, textbook, homework, good night's sleep </li></ul><ul><li>Talking quietly about classwork is allowed when doing a team project or helping another student. Loud talking is never allowed. </li></ul><ul><li>Computer equipment is to be handled with care. Vandalism will not be tolerated. Desk drawers should never be opened for any reason. </li></ul><ul><li>Food or drink is never allowed in the computer lab. </li></ul><ul><li>Stay in the assigned software. If you have completed the assignments, talk to Mrs. Herbison about which part of the software you can use next. Do not explore the computer on your own. </li></ul>
5.
<ul><li>COMPUTER RULES: </li></ul><ul><li>Never change settings (background, time, etc.) </li></ul><ul><li>Do not twist or unplug computers </li></ul><ul><li>Only touch your own computer </li></ul><ul><li>On days we don't use the computers, put the keyboard where it won't fall. </li></ul><ul><li>Stay off the computers unless you have permission to be on them. </li></ul>
6.
Syllabus <ul><li>Homework due the next day </li></ul><ul><li>2 homework grades dropped per quarter </li></ul>
8.
What is Geometry? <ul><li>The study of patterns </li></ul><ul><li>Important in building trades, culinary, and many other trades </li></ul><ul><li>A great way to build logic skills, which are important in any trade </li></ul>
15.
Finding a counterexample <ul><li>A way to show that a conjecture is false is by finding a counterexample: </li></ul><ul><li>Conjecture: For all real numbers x , the expression x 2 is greater than or equal to x </li></ul><ul><li>Counterexample: .5 2 = .25 </li></ul>
16.
Examining an unproven conjecture: <ul><li>Goldbach's Conjecture: Every even number greater than 2 can be written as the sum of two primes. </li></ul><ul><li>4 = 2 + 2 </li></ul><ul><li>14 = 3 + 11 </li></ul><ul><li>20 = 3 + 17 </li></ul>
17.
True or False? <ul><li>All even number up to 400,000,000,000,000 confirm Goldbach's Conjecture </li></ul><ul><li>Not definitely proved or disproved </li></ul><ul><li> </li></ul>
18.
How often does a full moon appear? <ul><li>Observe that in 2005, the first 6 full moons are </li></ul><ul><ul><li>January 25 </li></ul></ul><ul><ul><li>February 24 </li></ul></ul><ul><ul><li>March 25 </li></ul></ul><ul><ul><li>April 24 </li></ul></ul><ul><ul><li>May 23 </li></ul></ul><ul><ul><li>June 22 </li></ul></ul>
19.
How often does a full moon appear? <ul><li>Conjecture: every 29 or 30 days </li></ul><ul><li>Reality: about every 29.5 days </li></ul> | 677.169 | 1 |
Description:MATH 101 is
intended to increase students' understanding and appreciation of the importance
and usefulness of mathematics by showing how discrete mathematics can be used
in planning and decision making.Topics
include voting theory, fair division, optimization, and probability.
MATH 101 is conducted in large
classes using teaching strategies that emphasize cooperative group learning and
active participation.Required
homework/practice problems are completed online. Proctored quizzes are given
outside of class in the PACe Testing Center (Weber 138).
MATH 101 satisfies the mathematics requirement of the
All-University Core Curriculum but does not satisfy the prerequisites for any
courses that use mathematics (such as economics, physical sciences, and
statistics).
Description:MATH 105 aims
to engage liberal arts students in the exploration of mathematical ideas and
modes of thought and their application in the arts and humanities.Representative topics include symmetry,
levels of infinity, the fourth dimension, contortions of space, chaos and
fractals.(Prior knowledge of these
topics is not assumed.)
MATH 105 satisfies the mathematics requirement of the
All-University Core Curriculum but does not satisfy the prerequisites for any
courses that use mathematics (such as economics, physical sciences, and
statistics).
MATH 117 - MATH 118College
Algebra in Context I & II(each one
credit)
Prerequisite:Satisfactory performance on the CSU Math Placement Exam, Math Challenge Exam, or ELM Exam. MATH 117 is prerequisite for MATH 118 so this pair of courses must be
completed in order.
The prerequisite for MATH 117 is enforced through RAMweb. | 677.169 | 1 |
Availability is approximate and was last updated 10/4/2015. We do our best to update store pricing and inventory amounts as they change. However, there may be slight differences in store pricing or inventory compared to what is listed online.
Texas Instruments 83 Plus Graphing Calculator Product Details
Texas Instruments 83 Plus Graphing Calculator
Texas Instruments 83 Plus Graphic Calculator
The TI-83 Plus is an easy-to-use graphing calculator for math and science that lets students graph and compare functions, as well as perform data plotting and analysis. Its FLASH™ ROM memory allows students to update and add software applications (Apps).
Count on TI calculators at exam time. You can use this TI graphing calculator on the PSAT, SAT, and ACT college entrance exams and AP tests.
Find What You Need
TI graphing calculators are learning tools designed to help students visualize concepts and make connections in math and science. Take a look at the TI Calculator Comparison Chart to find which model fits your needs.
New App Makes Entering Easier
You can now see and enter math problems in your TI graphing calculator just like they appear in your textbooks. Download the free Zoom Math Starter Edition™ - App4Math™ App by I.Q. Joe to your TI-83 Plus or TI-84 Plus family calculator Texas Instruments at (972) 644-5580 | 677.169 | 1 |
Course Descriptions – Math
WATC offers many transferable general education courses. Here is a list of course descriptions – math classes, many offered in class or online by WATC.
*Course has been approved by the Kansas Board of Regents for transfer as a direct equivalent at all public postsecondary institutions in Kansas.
MTH 020 Math Fundamentals 3 Cr Hrs
Provides students with the skills necessary to be successful in their math courses. The course is designed to identify the student's specific learning style, provide note taking/test taking techniques, and offer math preparation strategies. This course does not count toward the A.A., A.S., A.A.S., or A.G. S. degree.
MTH 025 PACER Mathematics I 3 Cr Hrs
To provide the opportunity for students to master the math skills required for their chosen academic/career goals via an individualized, self-accelerated pathway. This course is equivalent to MTH020 – Math Fundamentals. This course does not count toward the A.A, A.S, A.A.S, or A.G.S degree.
MTH 035 PACER Mathematics II 3 Cr Hrs
To provide the opportunity for students to master the math skills required for their chosen academic/career goals via an individualized, self-accelerated pathway. This course is a continuation of the curriculum started in PACER Mathematics I. This course does not count toward the A.A, A.S, A.A.S, or A.G.S degree.
MTH 102 Intermediate Algebra With Review 5 Cr Hrs
Introduction to variables, properties of real numbers, polynomials, solving linear and quadratic equations, and graphing linear equations. Students must furnish their own TI-83 or TI-84 PLUS graphing calculators. This course does not count toward the A.A., A.S., A.A.S., or A.G. S. degree.
MTH 105 PACER Mathematics III 3 Cr Hrs
To provide the opportunity for students to master the math skills required for their chosen academic/career goals via an individualized, self-accelerated pathway. This course is a continuation of the curriculum completed in PACER Mathematics I & II. Coursework completed in PACER Mathematics II and PACER Mathematics III is equivalent to MTH101 – Intermediate Algebra. This course does not count toward the A.A, A.S, A.A.S, or A.G.S degree.
MTH 112 College Algebra 3 Cr Hrs*
This course is an introduction of algebraic functions and some transcendental functions with application in business and life, natural and social sciences. Topics include solving equations, zeros, rational functions, matrices, exponentials and logarithms and systems. Additional topics are included as time permits. Students must furnish their own TI-83 or TI-83 PLUS graphing calculators.
MTH 113 Trigonometry 3 Cr Hrs*
Trigonometric functions using the unit circle and right angle trigonometry, graphing applications, analytic trigonometry, vectors, trigonometric complex number applications, parametric and polar equations. Students must furnish their own TI-83 or TI-83PLUS graphing calculators.
MTH 115 Pre-Calculus Mathematics 5 Cr Hrs
This course is an introduction to function theory, algebraic and trigonometric functions and selected topics such as matrices, probability and statistics. This course requires that the student furnish their own TI-83 or TI-84 PLUS graphic calculator.
MTH 120 Elementary Statistics 3 Cr Hrs*
As an introduction to frequency distributions, measures of central tendency, sampling distributions, T-test and chisquare test, hypothesis testing and correlation coefficients. This course requires that students furnish their own TI-83 or TI-84 PLUS graphing calculator.
MTH 121 Elementary Statistics Lab with Excel 3 Cr Hrs*
Using Excel to construct Frequency Tables & Histograms, compute and explore Measures of Tendency. Sampling Distributions, Confidence Intervals, and Hypotheses testing. This course requires that the student have MICROSOFT EXCEL 97 or greater.
MTH 125 Calculus I 5 Cr Hrs*
Differentiation and integration of the algebraic, logarithmic and exponential functions. Applications to physical, social, life and business sciences. Students must furnish their own TI 83 or TI-84 Series graphing calculators.
MTH 150 Calculus II 5 Cr Hrs
An extension of MTH 125 Calculus I with topics to include advanced integration techniques, sequences and series, length, area and volumes. Application includes business and life, natural and social sciences. Students must furnish their own TI-83 or TI-83 PLUS graphing calculators.
*Course has been approved by the Kansas Board of Regents for transfer as a direct equivalent at all public postsecondary institutions in Kansas. | 677.169 | 1 |
This eBook introduces^n where n is even or odd for various values of k, as well as y = k√(x) where x is positive.
This eBook introduces the subjects ofn where n is even or odd for various values of k, as well as y = k√(x) where x is ..
If your child is struggling with math, then this book is for you; the short book covers the topic and also contains 30 practice problems to work with.
This subject comes from the book "Fourth Grade Math (For Home School or Extra Practice)"; it more thoroughly covers more fifth grade topics to help your child get a better understanding of fourth grade math. If you purchased that book, or plan to | 677.169 | 1 |
MERA search of MERLOT commentsCopyright 1997-2015 MERLOT. All rights reserved.Fri, 9 Oct 2015 13:43:51 PDTFri, 9 Oct 2015 13:43:51 PDTMER4434Comment for Introduction to Calculus Applets from james Bucolo
I spent three hours reviewing the material and playing with it and getting a breif overview of what u learn while taking a calculus class. The one great aspect about this site is that its equal to an online textbook except it allows you to review any material in calculus you just went over or want to move ahead and pratice with some material you are about to go over so you have an understanding of what you are about to go over. The one java applet i found interesting was Limits:an informal view. The aspect i enjoyed about this applet was that you were able to expiriement with graphing x and y min and max as well as set limits, save those limits, equalize axes and zoom in and out. As well as on the top of the page it gives you a description of this techinque and how its written in mathmatics. B. this webiste definately presents significant calculus material due to the fact that like a textbook the page is split up by sections of calculus starting with understanding how to use graphing tools correctly and giving you applets to pratice this skill. Then continiung with continuity of limits and breaking up what the most important techinques are u need to know from this section ending with sequences and series. Furthermore for any teachers that need any help with teaching the material or having any techinical issues it gives them a site to answer any of those questions for them and this is the only site that has that that i have seen. c. I think this will enhance students learning by being able to spend as much time as they want in reviewing this material and using it to study for any tests they have.Or using it to teach there parents about calculus or show them a site in which they can use to get a grasp of what thier sons or daughters are working on and if they should change how they are teaching this subject to thier kids. Whereas on a teaching perspective it allows the professor to plan what he is going to teach to the class a certain day and be able to use it while revewing homework in making sure that the students are doing the homework correctly. Whereas on a more class basis depending on how the students are doing with learning the material they could expand thier knowledge or use other resources in collabration with this material or change in how they are presenting this material.D. I think this is a great resource for students from highschool for an Ap test up through college with calc classes. Though I would make sure that U have a foundation of calc before you start looking at this site or have a textbook with You. Beacuse the site only offers a guide to solving diffrent equations not 5 pages on this topic.Mon, 14 Sep 2009 23:09:06 -0700 | 677.169 | 1 |
Stanford University, California
1 Hardback
Available, despatch within 1-2 weeks
(Stock level updated: 02:21 GMT, 10 October 2015)
£154.99 (+ VAT)
Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. The method can be used to find the symmetries of almost any system of differential equations and the knowledge of these symmetries can be used to reduce the complexity of physical problems governed by the equations. This is a broad, self-contained, introduction to the basics of symmetry analysis for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-Bäcklund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. MathReader 4.0 is included to let the user read the sample notebooks and follow the procedure used to find symmetries.
• Introduces symmetry analysis within an engineering framework
• Includes ready-to-use software
• Includes many exercises and examples
Reviews
'Overall, this was an enjoyable book to read, which I could recommend to someone to tackle as background reading. … if one's interest is in the application of symmetry analysis to problems arising in fluids, then this book discusses 'how' in detail.'
Peter Clarkson, University of Kent | 677.169 | 1 |
Lyme disease is the "most frequently reported vector-borne disease in the United States." The bacteria that causes Lyme disease is transmitted to humans through the bite of the blacklegged tick, also commonly known as...
An introduction and a guide to trigonometry, with hints and answers to exercises, and Java applets as illustrations. Contents include applications of trigonometry, angle measurement, chords, sines, cosines, tangents and...
Linked essay sketching trigonometry from its beginnings out of the early correspondence between astronomy and mathematics through the 18th century, with 17 references (books/articles). Influential thinkers addressed...
This field guide contains a quick look at the functions commonly encountered in single variable calculus, with exercises for each topic: linear, polynomial, power, rational, exponential, logarithmic, trigonometric, and... | 677.169 | 1 |
Find a Hercules Algebra...The next is Practicing Hard Skills: from reading critically to solving math problems. Third is Practicing Soft Skills: solving real world problems and thinking creatively. Lastly, Modeling Success: learning about people who have succeeded at a dream like yours can galvanize you into incredible action. | 677.169 | 1 |
books.google.com - With Mathematics: A Step-By-Step Approach, Grade 8 Homework Booklet students will love building their mathematics skills while completing the fun activities in this great book! Divided into four steps: signed numbers, polynomials, equations, and beginning geometry and features fun activities that will... | 677.169 | 1 |
Mathematics for Grob Basic Electronics
9780078271281
0078271282
Summary: Provides students with the mathematical principles needed to solve numerical problems in electricity and electronics. 13 chapters cover keeping track of the decimal point when multiplying and dividing; working with fractions; manipulating reciprocals; finding powers and roots of a number; powers of 10; logarithms; metric system; solving equations; trigonometry; binary and hexadecimal numbers; and complex numbers. ...> Bernard Grob is the author of Mathematics for Grob Basic Electronics, published 2002 under ISBN 9780078271281 and 0078271282. Eleven Mathematics for Grob Basic Electronics textbooks are available for sale on ValoreBooks.com, one used from the cheapest price of $107.93, or buy new starting at $39.43 | 677.169 | 1 |
What are some books that discuss elementary mathematical topics ('school mathematics'), like arithmetic, basic non-abstract algebra, plane & solid geometry, trigonometry, etc, in an insightful way? I'm thinking of books like Klein's Elementary Mathematics from an Advanced Standpoint and the books of the Gelfand Correspondence School - school-level books with a university ethos.
I don't think that this question is really appropriate for MO.
–
Andy PutmanSep 20 '13 at 19:02
20
I realize that MO has changed since the old days, but still I think this question is appropriate. Insightful books on elementary mathematics are quite uncommon, and I'd like to see more of them.
–
John StillwellSep 20 '13 at 19:24
1
Mathoverflow questions that guide up to the lists of great books -- I adore. I always add to favorites. This is totally appropriate!
–
OlgaNov 11 '13 at 5:08
Excellent book indeed, but I would not call this "elementary mathematics".
–
Alexandre EremenkoSep 21 '13 at 4:13
Well, the book certainly starts off elementary, with discussions of conics, culminating in a beautiful argument that slices of cones have foci. I think it was meant to be understood by non-mathematicians.
–
Todd Trimble♦Sep 21 '13 at 13:24
If first-order logic counts as "elementary mathematics", then I would like to suggest (the relevant chapters of) "Godel, Escher, Bach", by Douglas Hofstadter. (As an aside: Hofstadter's puzzle of encoding "n is a power of 10" as a predicate in Peano arithmetic is a wonderful one, quite tough even for professional mathematicians, especially if one is to avoid any form of the Godel numbering trick.)
I agree that it is a good and accessible book with significant mathematical content. One of the dangers is that you look for other books which attempt such holistic approaches in other sciences and you do not find them.
–
The Masked AvengerSep 20 '13 at 22:08
I really like Concrete Mathematics by Knuth, Graham and Patashnik, and the introductions to number theory by Rose and by Hardy&Wright: you will find there many interesting school-like problems (but the whole books may not be suitable).
In geometry, I can suggest Hartshorne's Geometry: Euclid and beyond.
Books like Géométrie projective by Pierre Samuel or Artin's Geometric algebra contain a lot of algebra, but it is geometric instead of abstract, so you may judge they are on the safe side.
I recommmend How to prove it by Daniel J. Velleman. The book introduces the basic logic and proof method to beginners and have many good examples and exercises to make students better understanding on what is a proof in the very elementary mathematics.
Euclid's elements. i find it much more useful than Klein's books, but that may mean i misunderstand the question. indeed after many years of perusing them, i find Klein's "from an advanced standpoint" books more of a polemic than a useful text. Euclid on the other hand introduces many of the main ideas of modern mathematics.
It's a curious choice. I cannot deny that it discusses elementary mathematics in an insightful way. And yet, it is so wry or ironic about how those insights are formulated that it basically subverts the presumptive purpose of discussing elementary mathematics in an insightful way! (When I first saw the book as an undergraduate, I wasn't really in on the "joke".)
–
Todd Trimble♦Sep 21 '13 at 12:56
In "On teaching mathematics", V. Arnold mentions Numbers and Figures by Rademacher and Töplitz, Geometry and the Imagination by Hilbert and Cohn-Vossen, What is Mathematics? by Courant and Robbins, How to Solve It and Mathematics and Plausible Reasoning by Polya, and Development of Mathematics in the 19th Century by F. Klein.
Some of these have been mentioned already, so perhaps this is an appropriate list, but I'm not familiar with all of these, so if someone would like to comment on these books, your input would be appreciated.
It was ages ago that I read in a library Mathematics: Its Content, Methods, and Meaning by Aleksandrov, Kolmogorov, and Lavrent'ev, but I still remember enjoying it. | 677.169 | 1 |
Classroom Procedures
Course Materials: You need looseleaf paper on which to take notes and to do written assignments. You may take notes in ink, but you should usepencil for classwork and homework. You will need your textbook and three-ring binder every day.
Textbooks: You will be issued a mathematics textbook. You are responsible for keeping it in good condition. If you lose your textbook during the year, you must get another book within two (2) school days.
Notebooks: Two notebook tests will be given each nine weeks. In order to receive the best grade possible, take down all bell work, class notes and examples; and follow this with the homework assignments (labeled with the date it was assigned, textbook page number and problem numbers). Any handouts should be dated and placed in the notebook immediately. Notebook tests are 100 points each and are 20% of the quarter grade.
Tests: Tests will consist of selected material from notes and other written work from a unit. All tests are announced two (2) class days in advance of the date the test is given. Tests will be graded within two (2) class days after the test date. Tests are 100 points each and are 30% of the quarter grade. A student may make test corrections on any test to earn back 50% of points missed.
Quizzes: Quizzes may be given more than once per week. They will cover important material from notes and other written work. Quizzes vary in point value, but are usually 20-25 points each. Quizzes are 25% of the quarter grade.
Bell Work/Writing Assignments: Students are expected to come into the classroom and to begin the posted bell work or writing assignments immediately. Students have only 5-7 minutes to complete bell work. Occasionally, these will be collected and checked for completeness according to the daily work rubric. Bell work assignments are 5 points each and are 10% of the quarter grade.
Daily Work: Classwork or homework will be assigned every day. It will include written work from your textbook, handouts, or problems given in class. Classwork or homework will be checked according to the following rubric:
5 – all problems attempted and necessary work shown
4 – at least two-thirds of all problems attempted and necessary work shown
3 – at least one-third of all problems attempted and necessary work shown
0 – less than one-third of all problems attempted
Homework is to be done independently. Homework that is obviously copied will result in a grade of 0 and/or loss of bonus point for the persons involved. Call 326-7542 if you need an assignment. Homework is 15% of the quarter grade.
Exams: Midterm exams are 10% of the first semester grade. Final exams are 20% of the final grade.
Partners: You may be assigned a partner who will sit near you and will work with you on assignments during class. If you have any problems working with your partner, please let Mrs. Hart know.
Make-up Work: Keep up with your absences from class so that you will not exceed the limit for unexcused absences. When you return, get all notes and assignments from Mrs. Hart within five (5) days. It is your responsibility to make sure that you get all make-up work. All make-up daily work must be submitted the day you return to class, unless other arrangements have been made with Mrs. Hart. Tests or quizzes that must be made up are listed with the student's name on chart paper at the front of the classroom. These must be made up within ten (10) school days after your return to class.
Tutoring: Please ask Mrs. Hart for tutoring when you do not understand the material covered in class. She is available for tutoring during the first 10 minutes of lunch unless she must serve duty (be sure to get a note). She is also available for tutoring after school on Mondays, Wednesdays, and Thursdays unless she is required to attend a meeting.
Progress Reports: Progress reports will be issued by your homeroom teacher ten (10) times this year: September 1, September 22, October 13, November 10, December 8, January 12, February 9, March 1, April 19 and May 10. Please have your parent/guardian sign the progress reports and show them to Mrs. Hart for extra bonus points. Your parent/guardian may check grades at any time using Parent Portal.
Report Cards: Report cards will be issued October 28, January 20, March 23, and May 26. Please have your parent/guardian sign the first three report cards and show them to Mrs. Hart for extra bonus points.
Parent/Teacher Conferences: Parent/teacher conferences are September 17 (4 – 7 pm), September 18 (8 am – noon), February 11 (4 – 7 pm), and February 12 (8 am – noon). If your parent/guardian signs in with Mrs. Hart for these conferences, you will receive a free homework pass. Mrs. Hart can be contacted in her classroom (326-7542) during her planning period from 12:15 until 1:10 PM or after school. Contact her by e-mail using Dedra.Hart@darlington.k12.sc.us.
Severe (Level 2 or Level 3 of Darlington County School District Discipline Code) – Go directly to the office with a referral, or a note/phone call to the office.
Rewards For Following Behavioral Expectations:
Bonus point for each day.
Homework Pass for five bonus points.
Homework Passes: Homework passes can be used for daily work that was missed within the same quarter as issued, or for daily work that is due. They may also be used to improve a less than desirable grade on daily work. Homework passes are earned by the student and are not transferrable (except one special homework pass). Homework passes cannot be replaced, so keep them in a safe place.
Bonus Points: Bonus points are awarded daily for class participation and acceptable behavior. Examples of acceptable behavior are being on time for class, being in assigned seat, following teacher instructions the first time they are given, having all required materials, completing assignments, dressing properly, displaying a positive attitude, staying on assigned tasks, and following all rules and procedures. Points may not be awarded because of unexcused tardies to class, leaving class on your own initiative, failing to bring course materials to class, failing to do assignments, wearing questionable clothing requiring administration to check for dress code violation, breaking a rule, getting off subject, or failing to follow procedures.
Work for Other Classes: Mrs. Hart reserves the right to collect and destroy any work from another class that she sees during the class period.
Absences, Tardies, and Hall Passes: School policies will be followed with respect to these procedures. Parents/guardians may check student attendance at any time using Parent Portal.
Restroom Privileges: A student will not be allowed to use the restroom during the first 20 minutes of class. Otherwise, Mrs. Hart will follow the Lamar High School hall pass procedure.
Off-Limits Areas: Mrs. Hart's desk area (including filing cabinets and shelves), cabinets and tables are off-limits at all times. The classroom telephone can be used after school hours with Mrs. Hart's permission.
Supplies: The following supplies are available daily at the beginning of class. | 677.169 | 1 |
Calculus and Statistics
Self-contained and suitable for undergraduate students, this text offers a working knowledge of calculus and statistics. It assumes only a familiarity with basic analytic geometry, presenting a coordinated study that develops the interrelationships between calculus, probability, and statistics. Starting with the basic concepts of function and probability, the text addresses some specific probabilities and proceeds to surveys of random variables and graphs, the derivative, applications of the derivative, sequences and series, and integration. Additional topics include the integral and continuous variates, some basic discrete distributions, as well as other important distributions, hypothesis testing, functions of several variables, and regression and correlation. The text concludes with an appendix, answers to selected exercises, a general index, and an index of symbols. | 677.169 | 1 |
Details about Mathematics:
MATHEMATICS: ITS POWER AND UTILITY, Tenth Edition, combines a unique and practical focus on real-world problem solving allowing even the least-interested or worst-prepared student to appreciate the beauty and value of math while mastering basic concepts and skills they will apply to their daily lives. The first half of the book explores the POWER and historic impact of mathematics and helps students harness that POWER by developing an effective approach to problem solving. The second half builds upon this foundation by exploring the UTLITY and application of math concepts to a wide variety of real-life situations: money management; handling of credit cards; inflation; purchase of a car or home; the effective use of probability, statistics, and surveys; and many other topics of life interest. Unlike many mathematics texts, MATHEMATICS: ITS POWER AND UTILITY, Tenth Edition, assumes a basic working knowledge of arithmetic, making it effective even for students with no exposure to algebra. Completely self-contained chapters make it easy to teach to a customized syllabus or support the precise pace and emphasis that students require.
Back to top
Rent Mathematics 10th edition today, or search our site for Karl J. textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by CENGAGE Learning. | 677.169 | 1 |
This course is designed to make students familiar with variousmathematical tools - used by stakeholders (managers, investors and creditors) tomake business decision. The course covers topics like linear equations, break-evenanalysis, logarithms, linear programming (optimization) and mathematics for finance.
Course Objective:
Upon successful completion of this course students will be ableto use mathematical tools to make business decision in real world.
Conduct of the courses:
Classroom lectures, tutorials including home assignments,quizzes and exams.
Recommended Course Text:
1.
Mathematics with Applications in Management and Economics, by Gorgon D.Prichett and John C. Saber, 7
Note: The instructor may alter the grading points if he finds it necessary.Individual Assignment and Quizzes:
After each chapter there will be a quiz. Itcould be either an announced or an unannounced quiz. Assignment dead line will bestrictly maintained.
There will be no make up quiz or make up assignment forany quiz or assignment missed without valid reasons.Mid Term Exam:
There will be one mid-term exam at the middle of the semester. You can expect both short and long calculations.
Class Participation:
Students are strongly recommended to participate in theclassroom. Your attendance is also part of your class participation. Do not worryabout your answer whether it is correct or incorrect while participating. You may becalled upon randomly throughout the semester to give answers or comment on anyquestions or on any issues.
Final Exam:
Final exam will be based on the chapters covered after the Mid Termexam. Again you can expect both short and long calculation | 677.169 | 1 |
Teacher Certification
Site owners
Christina Dittmar
Prerequisite Reviews
Not sure what course you should be taking? The prerequisite review for each course in the table below contains a list of problems that a student entering that course should already know how to do. We
strongly encourage you to work your way through the one appropriate to
your course before the course starts.
If you think you know what course you should be in, it is a good idea to review the material for that course before taking a placement test. This is particularly important if you have not done math for a while. Going into assessment "cold" is not recommended.
If you find that you need help on these problems, you can get
help from a tutor, a math book, or algebra review software, such as MyMathLab. | 677.169 | 1 |
A mathematical model is a description of a system using mathematical language. Mathematical models are used not only in the natural sciences and engineering disciplines but they are also used in biology, economics and sociology. Mathematical models can range from simple to complex.[1]Keep reading to learn how to build a mathematical model.
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Steps
Part 1 of 2: Preparing to Make a Mathematical Model
1
Determine what you want to know. What is the objective of creating a model? Make a list of the data you want to find by using the model. It is crucial to ask this question before you create your model or you may end up creating a model that does not meet your objective.[2]
Do you want to predict something? Find out how to regulate something? Or do something else?[3]
For example, imagine you want to know how much room you have in a storage unit to see how many boxes you can put into it. You will be creating a model to predict the amount of space that is in your storage unit.
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2
Determine what you already know. What data do you already have? Make a list of the data that has been given. As you list the data, decide what pieces are most relevant and which pieces are not relevant.[4]
You should also list any information that can be assumed based on what you already know.
Keep in mind that you may have to take measurements to find the data that you need.
To find out how much room you have in your storage unit, you will need to measure the unit's height, width, and length.
3
Determine the physical principles that govern the model you want to create. Do you need to consider factors like gravity, volume, time, etc.? Make a note of any factors that will need to be considered when you create the model.[5]
To determine the amount of space that you have in your storage unit, you will need to find the volume.
You also need to keep in mind that there will be some wasted space, since some objects may be irregular and that will make it difficult to use every inch of the storage unit.[6]
4
Identify the equations that you will need to use to find your answer. What equations and formulas will you need in order to find your answer? How will you apply these equations and formulas? Make sure that you have a clear understanding of how to plug the data that you have into the equation.[7]
To find the volume of the storage unit, you will need to use the equation V= h x w x l[8]
5
Look at what others have done. There is no need to re-invent the wheel if somebody else has developed a model that may suit your purposes already. Check in your textbook or ask your teacher. Just remember to make sure that someone else's model will work for your situation.
To get an idea of how to find the volume using the equation you have identified, check your textbook or ask your teacher.
6
Create a diagram for your model. A simple mathematical model may not require a diagram. However, if you are creating a complex model, a diagram may help you determine if your model will work. Draw a diagram to represent the actual model you plan to make.[9]
Make sure to incorporate your data into your diagram to help guide you when you create the actual model.
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Part 2 of 2: Making a Mathematical Model
1
Create your model. Once you have finished the planning phase, you should be able to create your model. Use your diagram, data, and other information to make your mathematical model. Make sure to check your notes often to ensure accuracy.[10]
Make sure that your model represents the actual relationship among your data that you are trying to accomplish.
For more advanced models, you may need to use a computer program.
2
Test your model. It is important to verify the validity of your model's results before you try to do anything else with your model. Apply your data and see if the model is valid. Are your results what you expected? Do they make sense? Are the results repeatable? [11]
Determine how the model could be improved. In order to make your model useful for further applications, you need to consider how it could be improved. Are there any variables that you should have considered? Are there any restrictions that could be lifted? Try to find the best way to improve upon your model before you use it again.[12]
For example, if you want to have 3 feet (0.91 m) of space to walk through your storage unit, you could adjust your equation to account for that space. Just deduct the space you will lose from the appropriate number in your equation. In this case, you could adjust your equation to read V = h x (w-3) x l[13]
After you have identified ways to improve your model, make the changes and test it again.
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Synopses & Reviews
Publisher Comments:
This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory | 677.169 | 1 |
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Product Description
Students build geometric models of polynomials exploring firsthand the concepts related to them. Includes enough sets for 30 students. Each classroom set also includes our Overhead Set and a 40-page book enabling students to be actively involved in teacher-directed lessons. | 677.169 | 1 |
Details about Applied Calculus for the Managerial, Life, and Social Sciences:
Well known for accuracy, Soo Tan's APPLIED CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Eighth Edition balances applications, pedagogy, and technology to provide students the context they need to stay motivated in the course and interested in the material. Accessible for majors and non-majors alike, the text uses an intuitive approach that introduces abstract concepts through examples drawn from common, real-life experiences to which students can relate. It also draws applications from readers' fields of interest. In addition, insightful Portfolios highlight the careers of real people and discuss how they incorporate math into their daily operations. Numerous exercises--including new Diagnostic Tests--ensure students have a solid understanding of concepts before advancing to the next topic. Algebra review notes, keyed to the review chapter Preliminaries, appear where students need them, when they need them. Bringing powerful resources to students' fingertips, the text's exciting array of supplements, including Enhanced Web Assign, equips students with extensive learning support to help them maximize their study time. | 677.169 | 1 |
'Introductory Statistics follows the scope and sequence of a one-semester, introduction to statistics course and is geared...
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'Introductory Statistics follows the scope and sequence of a one-semester, introduction to statistics course and is geared toward students majoring in fields other than math or engineering. This text assumes students have been exposed to intermediate algebra, and it focuses on the applications of statistical knowledge rather than the theory behind it. The foundation of this textbook is Collaborative Statistics, by Barbara Illowsky and Susan Dean, which has been widely adopted. Introductory Statistics includes innovations in art, terminology, and practical applications, all with a goal of increasing relevance and accessibility for students. We strove to make the discipline meaningful and memorable, so that students can draw a working knowledge from it that will enrich their future studies and help them make sense of the world around them. The text also includes Collaborative Exercises, integration with TI-83,83+,84+ Calculators, technology integration problems, and statistics labs.'
Visual ANOVA is an interactive Flash program which demonstrates visually how variability between and within experimental...
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Visual ANOVA is an interactive Flash program which demonstrates visually how variability between and within experimental groups contributes to the F ratio in the Analysis of Variance. It is not a numerical calculator; rather it visually and holistically demonstrates the relations among important concepts. Visual ANOVA is supported by online instructions and by an extensive online lecture explaining the theory behind the Analysis of Variance. The online lecture is supported by two types of assignments: 1) Online computer-graded homework, and 2) A pdf file that gives students the opportunity to do handwritten homework problems with answer keys.
online open math textbooks[from Judy Baker]This is a collection of open textbooks currently under consideration for review by...
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online open math textbooks[from Judy Baker]This is a collection of open textbooks currently under consideration for review by the Community College Open Textbook Project ( of the Community College Consortium for Open Educational Resources ( | 677.169 | 1 |
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Transcript of Getting your bearings
GADOE resources Universal Design for Learning How? How do I know what's good? How do I know what works? How do I know if it is mathematically correct? Oh, so many choices. Getting your bearings Finding your way in a resource rich environment Expeditionary Learning Here you go:
OR Coordinate Algebra Analytic Geometry Advanced Algebra A (1/2 credit) Advanced Algebra B (1/2 credit) and Statistical Reasoning Planning on entering the work force or military directly after high school: | 677.169 | 1 |
The Geometry Junkyard website provides a broad introduction to the specifics of geometry. The site, designed by David Eppstein of UC-Irvine, provides all the basics of geometry for students and teachers alike. Topics...
This glossary, created by M. Tevfik Dorka of the University of Newcastle, gives definitions for numerous statistical terms, concepts, methods, and rules. The list is extremely comprehensive. The author does more than...
Shodor is a national resource for computational science education, sponsored by the NSDL and CSERD. In order to help students better comprehend and learn the mathematical components of computer science, Shodor has...
"In the Classroom" highlights how some schools and organizations use Mathematica extensively in their curricula. The section on "Collaborative Initiatives" illustrates how businesses have teamed up with Wolfram Research... | 677.169 | 1 |
Expository Mathematics in the Digital Age - Open Standards
Many many web-based, expository mathematics articles will contain worksheets or source files for mathematical software such as Mathematica, Maple, Matlab, or Excel, to name just a few. For maximum accessibility, an author should use text-based, open-source formats when this can be done without harming the mathematical exposition. When open source formats are not sufficient, the author may be able to provide a generic description of the source file so that a reader can convert the worksheet to the format of her choice.
For example, a simple data set (with variables and cases) should not be given in Excel format (which is proprietary), but should be given as a simple tab-separated text file. This standard format encodes all of the essential information of the data set, and can be used with any statistical software (including, of course, Excel). If an article has a more complicated spreadsheet file (with data and embedded formulas, for example), the author could still provide the file in the open document format (text-based, XML files, compressed into a ZIP file). An article with Mathematica worksheets could give HTML versions of the worksheets that a reader could convert to other computer algebra systems.
Here's a good way to think of this issue: the author should be free to use the tools of his choice in creating documents, but these should provided in open-source formats if possible, so that the reader can use the tools of her choice in processing the documents. | 677.169 | 1 |
Search Results
With proven pedagogy that emphasizes critical-thinking, problem-solving, and in-depth coverage, New Perspectives helps students develop the Microsoft Office 2013 skills they need to be successful in college and beyond. Updated with all new case-based tutorials, New Perspectives Microsoft ExcelThis book outlines a six-week course in video game development. It''s based on summer courses (CampGame) given at ASU and NYU for high school students and uses the Unreal Engine 3 as the basis for creating a game. This book will be a great tool for anyone interested in getting introduced to making…
This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics.…
Prepare students for Microsoft® Office Word 2010! Learning Microsoft® Office Word 2010 features a student-friendly, step-by-step format with clear, full-screen shots to engage students and help them work independently. Learning Microsoft® Office Word 2010…
This new edition of Risk Analysis and Security Countermeasure Selection presents updated case studies and introduces existing and new methodologies and technologies for addressing existing and future threats. It covers risk analysis methodologies approved by the U.S. Department of Homeland…
…
Driven by demand from the entertainment industry for better and more realistic animation, technology continues to evolve and improve. The algorithms and techniques behind this technology are the foundation of this comprehensive book, which is written to teach you the fundamentals of animation…
THE LEGACY... First introduced in 1995, Cryptography: Theory and Practice garnered enormous praise and popularity, and soon became the standard textbook for cryptography courses around the world. The second edition was equally embraced, and enjoys status as a perennial bestseller. Now in its third… | 677.169 | 1 |
Suitable for courses that require the use of a graphing calculator, this title features side-by-side solutions that show algebraic, graphical, and numerical representations of the mathematics and support a variety...
Addresses a focused theme on mathematics education. This title intends to illustrate the diversity within the theme and the research that translates into classroom pedagogies. It illuminates how application and...
Includes 612 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. In this title, you will have access to 25 detailed videos featuring Math instructors who explain...
Introducing study techniques, this title features: text that focuses on the essentials of the course; quick-study sidebars, icons, and other instructional aids; sample problems and exercises for review; and advice... | 677.169 | 1 |
Mathematical Discovery 1
Description
Gives students a firm grounding in the main ideas of algebra and calculus. In algebra, students learn concepts and symbolic manipulation used when calculating with large numbers of variables. In calculus, they learn concepts used when working with continuously changing variables. Both ways of thinking are essential in Mathematics and when creating and using mathematical models in Science, Engineering and Commerce.
All students whose degree requires first-year mathematics may take MATH1210 in preference to MATH1110. There is substantial overlap between MATH1110 and MATH1210; students' performance on this common material is compared and used to scale the marks to ensure that comparable students achieve comparable grades.
Availability
Callaghan
Semester 1 - 2016
Learning Outcomes
1. To develop a firm foundation for later studies in algebra and analysis, the two main branches of mathematics.
2. To develop an understanding of high school mathematics by developing a more rigorous approach.
3. To develop students' capacity for effective reasoning, and their ability to use their mathematical skills elsewhere.
Content
Limits, continuity, differentiation.
Integration, calculation of areas and volumes.
Complex numbers.
Vectors and their products.
Matrices and systems of linear equations.
Assumed Knowledge
HSC Mathematics Extension 2 or HSC Mathematics Extension 1 (Band 4) or equivalent.
Students who do not have this assumed knowledge are advised to take MATH1110. Bachelor of Mathematics students will also need to complete MATH1510 Discrete Mathematics | 677.169 | 1 |
got this book as I'm teaching edexcel maths GCSE but, as a private tutor, I don't have access to all the previous online exam papers. I had hoped for more, but there is only one example exam paper for each module. And you don't get a detailed mark scheme for them. There are many other questions though, so it's not too bad.
The questions and answers were fine for me, but for students using this book the answers are often unbelievably inadequate. For example, when asked to plot an enlarged version of a given shape the answer merely states "enlarged shape". A student would have no clue whether they had done it correctly or not. And when asked to explain if the mean, median or mode best described a set of data the answer was given as "Student's explanation". Unbelievable!
Some questions are "guided" but the guidance would often be inadequate for a student who did not already know how to do the question.
So there are lots of useful practise questions but the quality of the answers lets the book down.
So I bought this book because My school recommended it . I am very happy with the book as it has plenty of practice questions to help you understand and the layout of the pages is well designed.
However I got confused on many occasions when I was led to believe that I had got the wrong answer when actually it was mistakes in the book answers. My Dad is very good at maths and agrees. Furthermore I looked at the guided tips at the side of one question in Unit 3 and this confused me even more because even by using the books answer following the guided instructions the answers didn't match. This is not only frustrating but also time wasting.
Bought this book as a companion to my revision guide- it splits the course into easy to manage clear sections with RELEVENT exam style questions on each topic. Great idea to have guided questions as examples. This book is really useful in bridging the gap between revision and exam style questions/technique. Went from B grade to A* just by using this in conjunction with the guide!
Lots of good questions for students to practice. However, it would benefit from expanded answers to questions where students have to explain something. The grading of certain questions also seems a little off in places. Still worth buying for those doing the Edexcel modular exams. | 677.169 | 1 |
The mathematics department offers classes ranging from Algebra I through Calculus and Statistics, in regular, honors, and Advanced Placement sequences. After the core subjects have been completed in a students' curriculum, we have 6 additional electives (at varying levels) from which the students can choose to enrich or enhance their mathematics education. While we continue to teach basic math concepts and skills that have been part of our curriculum for years, we recognize the need to be aware of the latest trends in mathematics education and implement effective ones. An emphasis on a multi-representational approach to functions is made in all of our classes. We are currently aligning our curriculum to the Common Core State Standards.
We expect all of our teachers to be proficient in a wide variety of technology applications in their instruction; including LCD projectors, document cameras, graphing calculators, iPads, various software applications, and mobile computer labs. Group work and hands-on problem solving opportunities are provided to students throughout our curriculum. In addition to our commitment to the school wide initiative of improving the technology skills of our students, we include in our lessons activities that fully support the system wide literacy initiative.
The placement of students into honors classes is initially done by the Freshman Admissions Office standards based on entrance exam scores. Students can be placed into our honors classes after their freshman year with "A" grades in their regular level prerequisite math classes and the recommendations of their math teachers. Our best problem solvers are encouraged to join the math team-which competes in citywide, regional, and state competitions. We provide math support for students who fall behind in their classes through daily tutoring opportunities by math teachers during lunch in our "Math Lab"; after school tutoring through a daily classroom tutoring schedule; and on Saturday mornings at Lane throughout the school year. Tutorial CDs, online textbook access, and practice workbooks are available for students in the core subject areas (Algebra, Geometry, and Advanced Algebra with Trigonometry, and Pre-calculus). Students in our A.P. classes have access to additional software to prepare them for the A.P. exams. | 677.169 | 1 |
Details about Practical Problems in Mathematics for Masons:
Newly revised for the 3rd Edition, PRACTICAL PROBLEMS IN MATHEMATICS FOR MASONS provides the quantitative skills novice bricklayers need to be successful. Starting with the basics, this practical worktext uses straightforward language and clear organization to develop confidence quickly with helpful hints. This book guides readers through the math most commonly used in masonry, reinforcing their knowledge of key math principles from whole numbers and decimals to fractions and percentages. Next, step-by-step discussions of volume, area, square roots, and the Pythagorean Theorem provide the foundation masons need to properly measure projects, align walls, and estimate quantities of materials. Throughout PRACTICAL PROBLEMS IN MATHEMATICS FOR MASONS, 3RD Edition, many examples, illustrations, and practice word problems help readers develop logical reasoning skills while developing an awareness of basic masonry terms and practices. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. | 677.169 | 1 |
College Mathematics for Business, Economics, Life Sciences and Social Sciences be accessible, this book develops a thorough, functional understanding of mathematical concepts in preparation for its application in other areas. Concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving. Features a collection of important topics from mathematics of finance, algebra, linear programming, probability, and descriptive statistics, with an emphasis on cross-discipline principles and practices. For the professional who wants to acquire essential mathematical tools for application in business, economics, and the life and social sciences.
A Library of Elementary Functions
Linear Equations and Graphs
Linear Equations and Inequalities
Graphs and Lines
Linear Regression
Review Review Exercise
Functions and Graphs
Functions
Elementary Functions: Graphs and Transformations
Quadratic Functions
Exponential Functions
Logarithmic Functions
Review Review Exercise
Finite Mathematics
Mathematics of Finance
Simple Interest
Compound and Continuous Compound Interest
Future Value of an Annuity; Sinking Funds
Present Value of an Annuity; Amortization
Review Review Exercise
Systems of Linear Equations; Matrices
Review: Systems of Linear Equations in Two Variables
Systems of Linear Equations and Augmented Matrices
Gauss Jordan Elimination
Matrices: Basic Operations
Inverse of a Square Matrix
Matrix Equations and Systems of Linear Equations
Leontief Input Output Analysis
Review Review Exercise
Linear Inequalities and Linear Programming
Inequalities in Two Variables
Systems of Linear Inequalities in Two Variables
Linear Programming in Two Dimensions: A Geometric Approach
Review Review Exercise
Linear Programming: Simplex Method
A Geometric Introduction to the Simplex Method
The Simplex Method: Maximization with Problem Constraints of the Form = | 677.169 | 1 |
Concepts inProgramming for learning in mathematics and science | 677.169 | 1 |
885 fully solved problems
Complete review of all course fundamentals
Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!
Editorial Reviews
About the Author
Ray Steege received his B.A. in mathematics from the University of Wyoming and his M.A. in mathematics from the University of Northern Colorado. The first 20 years of his teaching career were at East High School in Cheyenne, Wyoming. He continued his professional career at Laramie County Community College in Cheyenne, Wyoming for an additional 25 years prior to his retirement in 1994. Among his many achievements and honors are: past president of the Wyoming Mathematics Association of Two-Year Colleges, Wyoming Mathematics Coalition Steering Committee member, newsletter editor, and recipient of the Outstanding Faculty Member of the Physical Science Division award at the college.
Kerry Bailey received his B.A. in mathematics from San Diego State University and his M.A. in mathematics from the University of Colorado. He has been teaching at Laramie County Community College in Cheyenne, Wyoming for the past 14 years. Prior to this position, he taught for 10 years at Pikes Peak Community College in Colorado Springs, Colorado. Among his achievements and honors are: current inclusion in Who's Who in The West, Wyoming Mathematics Coalition Steering Committee member, newsletter editor, and recipient of the Outstanding Faculty member of the Physical Science Division award, and corecipient of the Outstanding Faculty Member award for the entire college at Laramie County Community College.
I ordered this for my out of town grandson who was struggling with intermediate algebra. I used to use this book for tutoring a long time ago. He said it was a big help. I don't know what there is about the way problems are explained, but it seems to connect to certain students who struggle with a live teacher no matter how patient. If Larry Gonick would write a cartoon guide to algebra, it would probably be better than this book, but for now this is the best you can do.
This a book that I would recommend to those who need additional practice with their algebra or who would like to review various subjects of algebra. This also an outstanding book for those who have a reasonably good arithmetic background who would like to teach themselves algebra. I have worked as a mathematics teacher for more than a decade and even I found some interesting presentations in this book
I used various versions of Schaum's outlines during college and I brought this one for my son who is a freshmen in HS. This is still a great resource to have to practice additional problems and to review examples of problems.
I am an older college student who has not been in a math class for over a decade: I bought this book as a study guide to help me prepare for the math assessment test at college. Let's just say this is NOT the book for people who have been out of the math world for a long period of time. It was extremely heavy on the math jargon: Just two sentences in and I was confused. I work much better having problems being solved step-by-step on the page: the wordy descriptions of the problems only confused me. It did seem to cover a lot of ground, and it did have good examples, but I ended up putting it down after a few days and working with the Cliff Notes study guide I had bought instead. | 677.169 | 1 |
Mathematics Course Descriptions
Numbers: Zero to Infinity
What does a subatomic particle measured in femtometers have in common with a galaxy measured in light years? Both are a part of the uniquely human effort to quantify the world around us. In this course, students explore numbers, from the very small to the unimaginably large, and learn how numeric representations help to explain natural phenomena such as time, distance, and temperature.
Moving beyond traditional arithmetic, this course centers on hands-on activities that develop understanding of the scope and scale of numbers. Students consider such questions as: if your dog were the size of a dinosaur, how much dog food would you need? They develop approximation and computational strategies to determine whether answers to problems are reasonable. In examining the diversity of measurement systems, students learn the origins of some familiar and unfamiliar methods of measurement, and invent their own units of measurement. Additionally, students use dimensional analysis to investigate conversions between different scales or systems of measurement. They apply concepts of ratio and proportion by constructing and analyzing scale models of our solar system, the human body, and other objects in our natural world.
Note: For many aspects of this course, students are asked to work without a calculator. Calculators are used only when extensive computations are needed.
Sample texts: Materials compiled by the instructor; a supplemental text such as Gulliver's Travels, Swift.
Reasoning, logic, and critical-thinking skills are the building blocks of intellectual inquiry. This course focuses on developing these skills through problem solving, puzzles, and exposure to a wide range of topics in mathematics. Students learn to distinguish between inductive and deductive reasoning and examine the roles played by each in mathematics.
What is the next term of the sequence 1, 5, 12, 22, 35? How do these numbers relate to triangular and square numbers? The students' introduction to inductive reasoning begins with a search for patterns in data and creating recursive and explicit formulas to describe those patterns. Students master material by considering puzzles, algebraic and geometric concepts, patterns, and real-world questions that can be answered using inductive reasoning.
As they move on to topics in deductive reasoning, students learn to use a system of logic to draw conclusions from statements that are accepted as true. Students encounter a variety of classic problem types as they explore symbolic logic, truth tables, syllogisms, Venn diagrams, knights and knaves problems, and Euler circuits. Emphasis is placed on the importance of proving conclusions using valid arguments.
Sample texts: Materials compiled by the instructor; a supplemental text such as The Number Devil, Enzensberger.
Introduction to Robotics
In the field of robotics, computer science and engineering come together to create machines that can perform a variety of tasks from manufacturing microchips to exploring Mars.
In this course, students develop familiarity with computer science concepts. For example, they explore topics such as algorithms, sequential control flow, and Boolean operators. Students also survey basic principles of physics and mechanical engineering, such as simple machines and locomotion, and basic principles of electrical engineering, such as circuits and sensor feedback. Using LEGO® robotics equipment, they work together to construct, program, and test their robots in a modern programming environment.
With each project, students design, build, and program robots to complete a complex task, and reinforce a new concept. These projects demonstrate the basic computer science and engineering principles that underlie everything from the space shuttle to the average home toaster. Students gain a foundation in computer programming and engineering that will become increasingly important in the highly technical twenty-first century.
Sample text: Materials compiled by the instructor.
Lab Fee: $100 (This fee is greater than for other courses due to higher material and equipment costs.)
Science Course Descriptions
Be a Scientist!
What can a geologist learn from rocks and gems? How does an engineer decide on the best bridge design? What tools does an astronomer use in his or her study of the sun? In this course, students are introduced to the methods scientists use to answer questions about the world around us. They build skills essential to scientific inquiry by engaging in hands-on investigations in a range of areas, such as botany, genetics, and chemistry.
Students examine strategies and techniques used by scientists and put them into practice. For example, as ecologists students may design and build terrariums or create field guides for the unique environment at their site. As zoologists they might observe firsthand the behavior of worms, recording notes and drawings in a scientific log; research what others have learned about worms; and share their findings with classmates. As chemists they might work in teams to explore fireworks as they learn what colors different metals produce when they burn.
Students learn to question and hypothesize; identify and manipulate variables; observe, measure, and record data; and analyze and interpret results. They work to design and carry out their own original investigations. Each student leaves the course better prepared to be a scientist. Throughout the course students discuss their challenges and successes in regular class forums and then incorporate that feedback into further study.
Sample text: Materials compiled by the instructor.
Lab Fee: $85
Students must have completed grade: 2 or 3
Inventions
Did you know that the idea for the microwave oven was set in motion by a melted chocolate bar? While standing in front of a magnetron, inventor Percy Spencer noticed that his treat had begun melting in his pocket. To further test the potential of the magnetron, Spencer held a bag of corn kernels next to it and watched them pop. From this simple experiment that led to the microwave oven to students' own creations, this course is about inventors, inventions, and their impacts on our world.
How does a toaster work, and what might make it work better? How can a package be designed to mail a potato chip so that it doesn't break? In this physical science course, students dismantle gadgets to figure out how things work. Using science knowledge such as an understanding of simple machines, they create their own new inventions. Students apply for mock patents, collaborate with their fellow inventors, keep an inventions journal, and work in teams to create hovercrafts or design more effective burglar alarms.
Throughout this process of inquiry, discovery, and problem solving, students explore not only the how and why of various discoveries and inventions, but also the impact they have had across the centuries. This integrated examination of inventions in our world offers young inventors a fuller understanding of the implications and promise of their creative imaginings.
Sample text:Inventing Stuff, Sobey.
Lab Fee: $85
Students must have completed grade: 3 or 4
The Physics of Engineering
How can a concrete boat float? How do you build the strongest bridge with the lightest building materials? Physics, the science of matter and its motion, helps answer these questions and more. In this course, students learn principles of mechanics; electricity and magnetism; waves and optics; and aerodynamics, and apply them to engineering design projects.
Concepts are introduced and reinforced through hands-on activities, lectures, class discussions, and practice exercises. Students participate in design challenges and experiments, such as building trebuchets to learn about projectile motion, designing and launching rockets to learn about aeronautics, or constructing roller coasters to learn about energy conservation. They also explore rocket science, orbital motion, and the challenges of space travel. Students carefully analyze data they collect and write reports about the projects.
Students learn how to ask scientific questions, hypothesize, and experiment in order to interpret physical phenomena. They are introduced to the iterative design process—engineering solutions to problems presented in class, and refining their designs to fit the presented criteria. By the end of the course, students acquire an understanding of major concepts in physics and an enhanced ability to work in groups and individually to solve problems in the physical sciences.
Note:Students in this class should have a strong background in pre-algebra or have completed CTY's Inductive and Deductive Reasoning or Data and Chance. Students should be comfortable with basic algebraic concepts: equation manipulation, interpreting graphs, and expressing large numbers in scientific notation.
Note: Students who have taken CTY's Science and Engineering should not enroll in this course.
Writing Course Descriptions
Writing and Reading Workshop
Gathering together a community of young writers and readers, this course helps students develop the vocabulary and critical-thinking skills necessary to discuss writing and reading in sophisticated ways. Students explore a range of reading and writing assignments, some of which they choose themselves with the instructor's guidance.
Approximately half of each day is devoted to writing and half to reading. Students learn writing by doing what professional writers do: gather material, decide on topics, confer with peers, draft, workshop, and revise. Daily lessons and one-on-one conferences address writing skills from sentence construction to the use of imagery.
In reading workshops, students choose texts to read and respond to in their journals; they may also read short stories and novels to discuss as a class. Working with the instructor, students develop close-reading skills and an appreciation for authors and genres that are new to them. Cooperative learning and constructive criticism are emphasized, and detailed responses from the instructor and peers play an essential role in each student's growth as a reader and writer.
Note: As part of their homework, students in this course may be expected to borrow books from their neighborhood libraries.
Writing and Imagination
Writing is an act of imagination; it builds from the raw materials of life and language. Students in this course read, write, and discuss a variety of genres including poems, short stories, and essays. They are encouraged to approach writing as a craft and to discover the processes and techniques that writers in all genres share. For example, students learn strategies for generating ideas, and they explore the concept and techniques of point of view.
This course brings together students and instructors who, as experienced writers themselves, serve as mentors to guide students through the process of creative writing. During writing workshops, both the instructor and peers offer detailed criticism geared toward revision. Through this process of writing, critiquing, and revising, students develop confidence in their own writing and creative powers.
Sample texts: Materials compiled by the instructor; a supplemental text such as The House on Mango Street, Cisneros, or Past Perfect, Present Tense: New and Collected Stories, Peck. | 677.169 | 1 |
97801303336 Scientific Computing Using MATLAB
This succinct book simultaneously develops basic numerical analysis topics and the fundamentals of MATLAB. Chapter topics include introduction to MATLAB, root searching, interpolation and polynomial approximation, numerical integration, numerical linear algebra, Fourier techniques, and differential equations. For scientists, mathematicians, and other professionals who wish to learn how MATLAB can be used for scientific computing and numerical analysis | 677.169 | 1 |
Develops mathematical and problem-solving skills. Appropriate technological skills are included. Content is selected to highlight connections between mathematics and the society in which we live. Topics include set theory and logic, mathematical modeling, probability and statistical methods, and consumer mathematics. Additional content will include one topic in geometry, numeration systems, decision theory, or management science.
PREREQUISITE:MAT 050/055/090 or higher with a grade of "C" or better; or ACCUPLACER Elementary Algebra 61+ | 677.169 | 1 |
Apply knowledge of proportional reasoning and percent to real applications.
Description -
Development and applications of percents and geometric concepts. Review of addition, subtraction, multiplication and division of whole numbers, fractions, decimals and signed numbers. Review of algebraic concepts including solving first-degree equations and evaluating and simplifying expressions, and applications of ratios and proportions.
Course Objectives -
identify whole numbers and decimal place values
write whole numbers and decimals in words
write whole numbers and decimals using expanded notation
round whole numbers and decimals
represent whole numbers, fractions and signed-numbers on the number-line
perform the four basic operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, decimals, and signed numbers
Homework Problems: Homework problems covering subject matter from text and related material ranging from 30 - 60 problems per week. Students will need to employ critical thinking in order to complete assignments.
Lecture: Five hours per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.
Projects: Student projects covering subject matter from textbook and related materials. Projects will require students to discuss mathematical problems,write solutions in accurate mathematical language and notation and interpret mathematical solutions. Projects may require the use of a computer algebra system such as Mathematica or MATLAB.
Worksheets: Problems and activities covering the subject matter. Such problems and activities will require students to think critically. Such worksheets may be completed both inside and/or outside of class. | 677.169 | 1 |
Basic Linear Algebra / Edition 2/b>…
See more details below
Overview matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers: this will take the form of a tutorial on the use of the "LinearAlgebra" package in MAPLE 7 and will deal with all the aspects of linear algebra developed within the book. | 677.169 | 1 |
Product Description
Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Trigonometry PACE 1135 covers expressing intervals of real numbers in interval notation; graphing the sine and cosine functions by plotting points; graphing all six trig functions using a graphing calculator; finding the domain, range, and period of a trig function; determining the amplitude of a sine or cosine function. | 677.169 | 1 |
hi i was wondering does anyone have solomon press worksheets i have them but no answers so was wondering if anyone had the mark scheme or answers to them. they go in subjects so basicly go C1 algebra C1 coordinate of gemotry and are named worksheet A B C ...M.... etc
any help pelase neeed the answers.
(Original post by Hedgeman49)
Probably because Solomon worksheets are copyrighted, and you need to purchase them from the company to have access to them. Also, you could get in trouble for sharing them on the net.
yes but they still give the solomon exam papers on here loads of people send it around hmmm dont think a lot of people have them | 677.169 | 1 |
Maths
BITSAT 2010 Syllabus | Mathematics
BITSAT 2010 Syllabus:
The BITSAT-2010 test will be conducted on the basis of NCERT syllabus for 11th and 12th class. The detailed syllabus is given in the Annexure. Candidates may refer to the NCERT text books for the contents. A sample test will be made available to the registered candidates at the BITS website on which he/she can practice as many times as desired.
Theory of Quadratic equations, quadratic equations in real and complex number system and their solutions, relation between roots and coefficients, nature of roots, equations reducible to quadratic equations.
Matrices and determinants of order two or three, properties and evaluation of determinants, addition and multiplication of matrices, adjoint and inverse of matrices, Solutions of simultaneous linear equations in two or three variables.
Straight lines and pair of straight lines: Equation of straight lines in various forms, angle between two lines, distance of a point from a line, lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrent lines.
Circles and family of circles : Equation of circle in various form, equation of tangent, normal & chords, parametric equations of a circle , intersection of a circle with a straight line or a circle, equation of circle through point of intersection of two circles, conditions for two intersecting circles to be orthogonal.
Conic sections: parabola, ellipse and hyperbola their eccentricity, directrices & foci, parametric forms, equations of tangent & normal, conditions for y=mx+c to be a tangent and point of tangency.
4. Three dimensional Coordinate Geometry
Direction cosines and direction ratios, equation of a straight line in space and skew lines.
Angle between two lines whose direction ratios are given
Equation of a plane, distance of a point from a plane, condition for coplanarity of three lines.
Matrices as a rectangular array of real numbers, equality of matrices,
addition, multiplication by a scalar and product of matrices, transpose of a
matrix, determinant of a square matrix of order up to three, inverse of a square
matrix of order up to three, properties of these matrix operations, diagonal,
symmetric and skew-symmetric matrices and their properties, solutions of
simultaneous linear equations in two or three variables.
Addition and multiplication rules of probability, conditional probability, Bayes
Theorem, independence of events, computation of probability of events using
permutations and combinations.
2. Theory of Quadratic equations, quadratic equations in real and complex number system and their solutions, relation between roots and coefficients, nature of roots, equations reducible to quadratic equations. | 677.169 | 1 |
Essential Computer Math
9780070379909
ISBN:
0070379904
Pub Date: 1982 Publisher: McGraw-Hill
Summary: Master essential computer mathematics with Schaum'sthe high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Scha...um's!If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests Find answers fast Study quickly and more effectively Get the big picture without spending hours poring over lengthy textbooksSchaum's Outlines give you the information teachers expect you to know in a handy and succinct formatwithout overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's lets you study at your own pace and reminds you of all the important facts you need to rememberfast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams.Inside, you will find: Detailed problems with step-by-step solutions Clear, concise explanations of the binary system, computer codes, computer arithmetic, algorithms, and much more Help with truth tables, logic gates, vectors, and matrices A solved-problem approach that teaches you with hands-on help Exercises for improving your problem-solving skillsIf you want top grades and thorough understanding of essential computer mathematics, this powerful study tool is the best tutor you can have!Chapters include: Binary Number System Computer Codes Computer Arithmetic Logic, Truth Tables Algorithms, Flowcharts, Pseudocode Programs Sets and Relations Boolean Algebra, Logic Gates, Simplification of Logic Circuits Vectors, Matrices, Subscripted Variables Linear Equations Combinatorial Analysis Probability Statistics Random Variables Graphs, Directed Graphs, Machines
Lipschutz, Seymour is the author of Essential Computer Math, published 1982 under ISBN 9780070379909 and 0070379904. One hundred twenty Essential Computer Math textbooks are available for sale on ValoreBooks.com, fifty eight used from the cheapest price of $9.38, or buy new starting at $5.46.[read more] | 677.169 | 1 |
Product Description
This two-book teacher's guide accompanies ACSI Math Student Worktext Grade 4, and contains everything you need to teach either a homeschool or public/private school student. Two large binders contain three-ring-punched inserts. One binder contains blackline masters for all lessons, the other contains an entire replica of the student book in full color, and the teacher's guide. The Teacher's guide contains objectives, lists of materials needed, an introduction, directed step-by-step instruction, sidebar notes on the lesson objective, and suggestions for reinforcement. Instructions include illustrations, and student questions are reproduced with the correct answers overlaid. 375 page teacher's guide. A Packet is included to update this teacher's guide for the 2007 updated ACSI Math 4 course | 677.169 | 1 |
Introduction to Linearear Algebra with Applications is an introductory text targeted to secondor advanced first year undergraduate students. The organization of this textis motivated by what our experience tells us are the essential concepts thatstudents should master in a one semester undergraduate Linear Algebra course.The centerpiece of our philosophy regarding the presentation of the materialis that each topic should be fully developed before moving on to the next. Inaddition, there should be a natural connection between topics. We take greatcare to meet both of these objectives. This allows us to stay on task so thateach topic can be covered with the depth required before progressing to the nextlogical one. As a result the reader is prepared for each new unit and there is noneed to repeat a concept in a subsequent chapter when it is utilized. Linear Algebra is taken early in an undergraduate curriculum and yet offersthe opportunity to introduce the importance of abstraction, not only in mathematics, but in many other areas where Linear Algebra is used. Our approachis to take advantage of this opportunity by presenting abstract vector spacesas early as possible. Throughout the text, we are mindful of the difficultiesthat students at this level have with abstraction and introduce new conceptsfirst through examples which gently illustrate the idea. To motivate the defini-tion of an abstract vector space, and the subtle concept of linear independence,we use addition and scalar multiplication of vectors in Euclidean Space. Wehave strived to create a balance between computation, problem solving, and ab-straction. This approach equips students with the necessary skills and problemsolving strategies in an abstract setting that allows for a greater understandingand appreciation for the numerous applications of the subject. | 677.169 | 1 |
're brushing up on pre-Algebra concepts or on your way toward mastering algebraic fractions, factoring, and functions, CliffsQuickReview Algebra I can help. This guide introduces each topic, defines key terms, and carefully walks you through each sample problem step-by-step. In no time, you'll be ready to tackle other concepts in this book such as
Equations, ratios, and proportions
Inequalities, graphing, and absolute value
Coordinate Geometry
Roots and radicals
Quadratic equations
CliffsQuickReview Algebra I acts as a supplement to your textbook and to classroom lectures. Use this reference in any way that fits your personal style for study and review — you decide what works best with your needs. Here are just a few ways you can search for topics:
Use the free Pocket Guide full of essential information
Get a glimpse of what you'll gain from a chapter by reading through the Chapter Check-In at the beginning of each chapter
Use the Chapter Checkout at the end of each chapter to gauge your grasp of the important information you need to know
Test your knowledge more completely in the CQR Review and look for additional sources of information in the CQR Resource Center
Use the glossary to find key terms fast.
With titles available for all the most popular high school and college courses, CliffsQuickReview guides are a comprehensive resource that can help you get the best possible grades.
Editorial Reviews
From the Back Cover
We take great notes—and make learning a snap When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core algebraic concepts—from monomials, inequalities, and coordinate geometry to functions and variations, roots and radicals, and word problems—and get the best possible grade. At CliffsNotes, we're dedicated to helping you do your best, no matter how challenging the subject. Our authors are veteran teachers and talented writers who know how to cut to the chase—and zero in on the essential information you need to succeed. Study smarter @ cliffsnotes.com Free CliffsNote-A-Day tips Free test-taking tips and tricks Free test samples and schedules Free info on other test resources Plus hundreds of downloadable Cliffs titles 24 hours a day Make the grade with CliffsQuickReviews CliffsQuickReviews are available for more than 30 introductory level courses. See inside for a complete listing of these and other bestselling Cliffs titles.
About the Author
About the Author Jerry Bobrow, PhD, is an award-winning teacher and educator. he is a national authority in the field of test preparation. As executive director of Bobrow Test Preparation Services, Dr. Bobrow has been administering the test preparation programs for most California State Universities for the past 27 years. Dr. Bobrow has authored more than 30 national best-selling test preparation books including Cliffs Preparation Guides for the GRE, GMAT, MSAT, SAT I, CBEST, NTE, ACT, and PPST. Each year he personally lectures to thousands of students on preparing for these important exams.
More About the Author
Jerry Bobrow, Ph.D. is an award-winning educator and author. He is a national authority in the field of test preparation and has been administering the test preparation programs for most California state universities for the past 29 years. Each and every year he administers over 500 programs assisting over 17,000 students in preparing for standardized exams. Dr. Bobrow has authored over 30 national best-selling test preparation books including Cliffs Preparation Guides for the MSAT, GRE, GMAT, SAT I/PSAT, CBEST, NTE, PPST, ELM, GED and ACT tests.
Most Helpful Customer Reviews
This book is an excellent overview for people who may not have had any algebra for a long time, it is clear, and has very good examples and explanations. Unlike many 'learn algebra' type books, this one shows you exactly how to do the problems from start to finish. I believe you could actually teach yourself an entire semester of algebra on your own with only this book as a teacher. I highly reccomend it.
The book is an excellent review of the subject for those who need to brush up on the subject after many years away from formal mathematics. Provides a down and dirty guide to entry level college algebra with emphasis on process. Problem solving rather than jargon takes precedence. Provides many useful rules that were never taught in school. I find myself referring to it frequently in higher level college math courses.
I got this book recently because I needed a simple small "transition" book to review all the Algebra I had lost from taking Geometry. Well... I really like this book. It is very useful and I hope to be able to easily integrate it with the rest of all my studying materials. I really like how it has such an easy interface and is small. (to fit in small backpack pockets) For these first months of Algebra II, you guys that are too dumb to remember you basic algebra (like me), get this book. It is a great tool for reviewing even the most important sections in Algebra. Thanks Cliff Notes... you allow people to slack at all times of the year. :)
After 13 years off of college, I went back last fall. The University required non-traditional students to take assessment tests, and in my first test, I was two points under the "passing" grade to get into college-level math courses. I bought the book, spent a weekend on it just reminding myself of all those things I forgot, and took the test again 3 days later, this time getting a perfect grade, saving myself several hundred bucks and a year of boring math classes.
The book is concise, clear, shows every step to each problem, and doesn't have a lot of empty filler. I can't recommend it highly enough, and it was very helpful for me.
I've tried other Algebra and Pre-Algebra resource books, but keep coming back to this one.
Clear, concise, handy paperback filled with 13 chapters which review all you will learn in Pre-Algebra and Algebra I classes. A core review, online resource guide and glossary of related terms are also in the book.
An excellent reference resource, the book contains the following subjects:
This book is the 2nd Algebra book that I bought. I am the type of person who goes beyond what is given to me. This book is a great book for review purposes. I am over half way through the year in Algebra 1 and already know how to do everything that will be taught to me by the end of the year. I have really learned a lot from these books and I will say, that this is a great book for anyone that is studying Algebra.
This book is stripped down and to the point. All the information you need to do a thorough review without all the fluff. I would have rated it a "5" if it had more "Test Yourself" questions -- but, that's a personal preference (don't let it stop you from buying the book). | 677.169 | 1 |
Description: In this course you will be learning to use calculus both as a tool and as a language in which you can think coherently about the problems you will be studying. The computer or the graphing calculator is a tool that that you will need for this course, along with a clear head and a willing hand. | 677.169 | 1 |
Study Skills
Studying and Learning Math & Stats are Different from Other Subjects
Mathematics and statistics courses often require different study processes from other courses. In these courses, it is pertinent that you practice problems. In fact, math and stats can be though of much like a foreign language. It must be practiced every day and often the vocabulary is unfamiliar. But, with practice and dedication, it will not seem like a foreign language anymore.
Math and stats can be seen as a linear learning process. What is learned one day is used the next, and so forth.
College math and stats courses are different from those you took in high school. Instead of going to class everyday during high school, in college you go only two or three times a week. Often, what took a year to learn in high school is now covered in only 14 weeks.
Resources
Check out the links below for some tips on how to be successful in your math course. | 677.169 | 1 |
Description This class will focus on a review of Geometry IA and IB. Students will communicate understanding through state-constructed practical-based questions. This course prepares students to pass the End of Course assessment. The students have the opportunity to create a Collection of Evidence as an alternate demonstration of their proficiency to the State.
Intended Learning Outcomes
Distinguish between two-dimensional and three-dimensional figures and design algebraic equations from their properties.
Solve algebraic equations by utilizing the properties and relationships between angles and lines. | 677.169 | 1 |
Summary
The Lial/Hornsby developmental mathematics paperback series has helped thousands of students succeed in math. In keeping with its proven track record, this revision includes a sharp new design, many new exercises and applications, and several new features to enhance student learning. Among the features added or revised include a new Study Skills Workbook, a Diagnostic Pretest, Chapter Openers, Test Your Word Power, Focus on Real-Data Applications, and increased use of the authors' six-step problem solving process.
Table of Contents
(Each Chapter ends with a Summary, Review Exercises and a Chapter Test. With the exception of Chapter 1, each Chapter also ends with a set of cumulative review exercises.). List of Applications. Preface. An Introduction to Scientific Calculators. To the Student. Diagnostic Pretest. 1. Review of the Real Number System.
Basic Concepts. Operations on Real Numbers. Exponents, Roots, and Order of Operations. Properties of Real Numbers.
The Square Root Property and Completing the Square. The Quadratic Formula. Equations Quadratic in Form. Formulas and Further Applications. Graphs of Quadratic Functions. More About Parabolas; Applications. Quadratic and Rational Inequalities.
Additional Graphs of Functions; Composition. The Circle and the Ellipse. The Hyperbola, and Other Functions Defined by Radicals. Nonlinear Systems of Equations. Second-Degree Inequalities; Systems of Inequalities. | 677.169 | 1 |
Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes more than 1,900 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems - it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible Helpful tables and illustrations increase your understanding of the subject at hand. This Schaum's Outline gives you: 1,940 fully solved problems; hundreds of additional practice problems with answers; and coverage of all course concepts. Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know.
Use Schaum's to shorten your study time - and get your best test scores! Schaum's Outlines - Problem Solved.
About Murray R. Spiegel
Murray R. Spiegel, PhD, was a professor in and chairman of the mathematics department at Rensselaer Polytechnic Institute in Troy, New York. Robert E. Moyer, PhD, is a professor of mathematics at Southwest Minnesota State University in Marshall, Minnesota. | 677.169 | 1 |
An excerpt of an article published in Mathematica in Education. There are 59 stellations of the icosahedron; these pages contain various images of them, ordered by increasing circumradius, and some background...
A shortened version of the notebook Polyhedra.ma from Illustrated Mathematics [Gloor/Amrhein/Maeder95]. Uniform polyhedra have regular faces and congruent vertices. Allowing for non-convex faces and vertex figures,...
This activity from the Florida Advanced Technological Education (FL-ATE) Center asks students to use the concepts of measurement and precision in the context of designing and manufacturing surgical instruments. The...
Although it is labeled as an introduction to PC game programming, the tutorials given on Atrevida additionally cover many aspects of mathematics and general computer science. A modest background in the C language is... | 677.169 | 1 |
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Despite the deceptively small size of the text compared to many of its type, be sure to carry at least twice as many sheets of paper to fully get all you can out of it. George Andrew's pedagogical style of using combinatorics (basic gambling probability) to explain advanced concepts in number theory is executed brilliantly, and leaves even first-year undergraduates like me without a doubt in the world.
It is essential to do the problems in this book! Do not skip them thinking writing down the definitions and theorems will be enough-- some of the problems will kill you if you go in only knowing the written theorems, without any proper thought into the subject. Like any mathematical subject, it requires rigorous thinking and hours of reading before even considering going on to more advanced topics, like algebraic number theory, abstract algebra, or residue theory.
Breaking down the book into parts, I find it slightly disconcerting that despite the small nature of the book, the concept of quadratic congruences are only introduced in a less-than-introductory fashion, in comparison to other number theory books. It may be true that the author's main research was based off partition theory (the largest section in the book), but quadratic congruences have large applied mathematical influences, and should be considered to be read on, after the book as been finished.
Despite that, this text is an incredible foray into elementary number theory, and is a recommended buy for all those interested in the mathematical world.
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I have a background in logic but absolutely none in elementary number theory or abstract algebra and I am using this as a first-time study guide. I find it very good. I have to mull over some of the proofs and examples since certain shortcuts are not immediately evident to me, but everything is generally clear and easy to follow. There are very few historical remarks which may or may not be a bonus for some. And as Dover does, they are practically giving this thing away.
A few years ago, I read this book by George Andrews of Penn State University into chapter 8 and this 1971 textbook by him already shows his long interest in both combinatorics and number theory. Where I stopped reading was when the author's proofs started being multiple pages long.
From the complicated table of contents above, one can see a broad sweep of combinatorial number theory. Part I is mostly pretty straight number theory, and that is what I did read. Part III on additivity is almost fully combinatorics more than number theory though. Still the price of this book is quite low to have access to all of this big range of mathematics to pick and choose what is most interesting to any given reader. Recommended.
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I recently took a one-semester course using this text. I found it to be one of the best textbooks I've used so far. The exposition was clear and easy to digest, with just the right number of clarifications and examples. The exercises were numerous, challenging and illuminating. No background beyond very basic set theory is assumed, and in fact the writer goes very far out of his way to keep his exposition separate from abstract algebra. This is most evident in the chapter on primitive roots. I can't speak for the second half of the book, on additivity, but I can say with certainty that the first nine chapters are worth the effort.
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This book is great for the price and if you can handle the terseness of a Dover book I would say it is great in general. The back of the book indicates it would be good for liberal arts majors. That is just crazy. However, you don't need much more than a solid foundation in mathematics through the Calculus of sequences and series. To get the most out of this book, you should do as many of the exercises as you can, even the ones without answers. Also, plan on supplementing the text with some online research. A general review of generating functions may be useful. Chapter 3 is a bit out of place and easy to lose patience with. Perhaps it can be read following Part 1. With that said, you can get a lot out of this book with regard to number theory (which arguably may not be generally useful).
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I love number theory but this book exposed me to combinatorics, which I though was the theory of permutation. So now I have a new interest. Book is new and shipped in quick time with good wrapping and perfect shape. Great seller and who could not love Dover Publications?
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I had a number theory class back in the dark ages when i was studying Mathematics at OSU. Before I started this book I reviewed another number theory book. It was like deja vu - the method was exactly what I had seen before. In fact, it may have been the same book. Then I picked this up to go a little more in depth. I was a little thrown off at first. Pretty much the same things were covered but from such a vastly different angle it almost seemed like a whole different field of mathematics.
I can't say which viewpoint is the correct one (they both are, I guess) but, since the books are so inexpensive, I would suggest try each or using both. It is often eye-opening to see the same conclusion derived from attacking the problem from more than one angle.
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There are some very good introductory texts for number theory. Davenport's is excellent, as well as Sierpinski's, and I'm sure there are some others. Hardy and Wright is good, but I think of it more as a reference since there are no exercises. Andrews' is probably more sophisticated than both of the first two. What I like about this text is its discussion of combinatorial ideas in additive number theory, especially regarding partition theory. I still go back to this book for ideas and discussion of partition identities. I know of no other text in arithmetic that discusses generating functions this extensively and to this end the account is quite readable. There are also a lot of opportunities to become quite proficient using them (due to the exercises). If one isn't aware, generating functions become important later, so Andrews prepares one well for the analytic approach to number theory. Also, this was the text that introduced me to Gauss' circle problem and Dirichlet's divisor problem. The discussion isn't lengthy, but it is very clear and interesting.
There are so many different and potentially disjoint approaches to number theory that it's hard to say which is best. I think the reader's tastes should dictate -- there's probably a good book out there for almost any taste. Nonetheless, I think this text does a good job mixing classical with combinatorial ideas and there aren't really any competitors for this approach. | 677.169 | 1 |
Mathematical Issues for Physicists and Engineers
Challenge Level:
Mathematics is critical to the study of physics and
engineering; indeed, historically the development of mathematics,
physics and engineering have often gone hand in hand.
The physicist or engineeer needs to embrace mathematics in order
to get the most from their studies. Unfortunately, students often
struggle with the mathematical aspects of their physics or
engineering degree course: 8 key reasons for this are provided
below.
stemNRICH was specially
designed to address these 8 problem areas by providing meaningful,
rich and interesting mathematical science problems for students to
engage with prior to arrival at university.
Background Mathematics
There is a great deal of mathematical content knowledge which a
physicist or engineer needs to know. Some of the more advanced
skills required are
Mathematics
Applications
Equations
All of physics!
Calculus and differential equations
Dynamics
Vectors
Forces, statics
Complex numbers
Wave equations, frequency analysis
Matrices
Stress and strain, 3D graphics
Logarithms
Sound intensity
Logic
Digital circuits and computing
Estimation and approximation
Checking answers, setting up problems
Statistics and probability
Statistical physics
Geometry
Statics, mechanics
... and problem solving skills
Setting up any problem!
In addition to this strong base of advanced skills, any
physicist or engineer needs to have very strong number, computation
and general maths skills. Unfortunately, even a good grade in maths
might not be sufficient to support the underlying physics once a
student begins university. Why is this?
Eight mathematical problem areas
Suppose that a physics or engineering student achieved a good
grade in GCSE mathematics or AS mathematics. Why would such
students struggle with the mathematical aspects of physics or
engineering? There are several possible reasons:
Overly Procedural thinking
Mathematics exams can often be passed by learning the content
procedurally. This means that students can answer certain
types of question by following a recipe. The problems with more
complex physical applications arise because even minor deviations
from the precise recipe cause the student to fail to know what to
do.
Lack of ability to translate mathematical answers to
physical interpretation
Even students who are very skilled at mathematics might have
trouble seeing how to relate the mathematical process to a
real-world context. An important part of this is interpreting
answers and realising when a mathematical description breaks down.
Lack of skill in this area hampers the use of common sense, so
valuable in quantitative science.
Lack of ability to translate
physical situation into the correct mathematical
description
The physical world is intrinsically mathematical and the
process of modelling the world involves extracting the correct
mathematical description from a physical scenario. This has always
been the most tricky part of physics and engineering, and a lack of
total confidence in the mathematics exacerbates the
difficulties.
Lack of ability to make estimates or
approximations
Physics and engineering contexts are often quite complicated.
In order to apply mathematics predictively, approximations will
often need to be made. To make approximations requires the student
to really understand the meaning and structure of the
mathematics.
Lack of problem solving skills
Physics and engineering problems are not usually clearly
'signposted' from a mathematical point of view. The physicist or
engineer must assess the situation, decide how to represent it
mathematically, decide what needs to be solved and then solve the
problem. Students who are not well versed in solving 'multi-step'
problems in mathematics are very likely to struggle with the
application of their mathematical knowledge.
Lack of experience with calculation or difficult
contexts
There are two ways in which lack of practice can impact
mathematical activity in the all of the sciences, especially those
rooted in physics
First is a lack of skill at basic numerical manipulation. This
leads to errors and hold-ups regardless of whether the student
understands what they are trying to do.
Second is a lack of practice at thinking mathematically in
genuinely difficult scientific contexts.
Lack of confidence
Lack of confidence builds with uncertainty and failure, leading
to more problems. Students who freeze at the sight of numbers or
equations will most certainly under perform.
Lack of mathematical interest
Students are hopefully strongly driven by their interest in
science and its real-world applications. If mathematics is studied
in an environment independent of this then mathematics often never
finds meaning and remains abstract, dull and difficult.
If you are a student aiming to study physics or engineering at
university, do any of these areas seem like they might possible
cause you some problem? If so, why not take a look at some of the
stemNRICH problems and start thinking about these matters now | 677.169 | 1 |
books.google.com - The... Mathematics
Conceptual Mathematics: A First Introduction to Categories
The serves two purposes: first, to provide a key to mathematics for the general reader or beginning student; and second, to furnish an easy introduction to categories for computer scientists, logicians, physicists, and linguists who want to gain some familiarity with the categorical method without initially committing themselves to extended study.
Review: Conceptual Mathematics: A First Introduction To Categories
User Review - Úlfar - Goodreads
Great book on category theory with well thought out explanations. It came up in Amazon recommendations when I was browsing for Haskell books and I thought I would give it a try. It was an enlightening read. I finally understand the pure mathematical power of category theory after reading this book.Read full review
References to this book
About the author (1997)
F. William Lawvere is a Professor Emeritus of Mathematics at the State University of New York. He has previously held positions at Reed College, the University of Chicago and the City University of New York, as well as visiting Professorships at other institutions worldwide. At the 1970 International Congress of Mathematicians in Nice, Prof. Lawvere delivered an invited lecture in which he introduced an algebraic version of topos theory which united several previously 'unrelated' areas in geometry and in set theory; over a dozen books, several dozen international meetings, and hundreds of research papers have since appeared, continuing to develop the consequences of that unification.
Stephen H. Schanuel is a Professor of Mathematics at the State University of New York at Buffalo. He has previously held positions at Johns Hopkins University, Institute for Advanced Study and Cornell University, as well as lecturing at institutions in Denmark, Switzerland, Germany, Italy, Colombia, Canada, Ireland, and Australia. Best known for Schanuel's Lemma in homological algebra (and related work with Bass on the beginning of algebraic K theory), and for Schanuel's Conjecture on algebraic independence and the exponential function, his research thus wanders from algebra to number theory to analysis to geometry and topology. | 677.169 | 1 |
Calculus Questionnaire A
This questionnaire contains 8 statements about basic calculus ideas. Each statement is followed by 5 explanations. Carefully read all 5 then select THE BEST explanation for the statement.
Some of the questions may refer to calculus content that you have not learned yet. This is fine. Please try to understand the statement as best as you can then choose the explanation that is most compelling to you. | 677.169 | 1 |
,...
Show More, notes, exercises, and examples. The newest edition includes well reviewed examples and exercises and comes with additional resources (including online exercise sets, tutorials, and other assessment tools). Mathematical Ideas (12th Edition) ISBN 9780321693815 features 16 chapters, all of which end with tests that allow students to review and practice what they learned. Introductory chapters talk about problem solving and other important concepts like inductive reasoning, calculating, estimating, and graph-reading. Set theory and its basic concepts are also discussed, as well as a brief introduction to logic. Middle chapters go into enumeration systems, number theories, and real numbers. Students will also appreciate the introduction to algebra as well as graphs, functions, equalities and inequalities. The book tackles geometry and counting methods, statistics, personal financial management, trigonometry, graph theory, and voting and appointment. The book boasts an amazing author team, starting with Charles Miller, a well-known professor from the America River College. Vern Heeren has taught math for nearly 40 years, and has co-authored a number of mathematical books with both Hornsby and Miller. John Hornsby is best known for his unconventional methods in teaching and writing, as evidenced by his 25 years of authorship. His best works include A Graphical Approach to Algebra, Precalculus, College Algebra, Trigonometry, and Developmental Mathematics, among many others.
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The first part of the three-part calculus series. Topics include: review of algebra and trigonometry; functions and limits; derivatives and their applications; the integrals and their applicatations. Prerequisite: Grade of C or higher in MATH 180 or a score of 26 or higher on the math portion of the ACT or 590 or above SAT score or a passing score on the Columbia College math placement exam. G.E.
Prerequisite(s) / Corequisite(s):
Grade of C or higher in MATH 180 or a score of 26 or higher on the math portion of the ACT or 590 or above SAT score or a passing score on the Columbia College math placement exam.
Course Rotation for Day Program:
Offered Fall and Spring.
Text(s):
Most current editions of the following:
Calculus
By Stewart (Brookes-Cole) Recommended
Course Learning Outcomes
Compute limits, analytically or from a graph, or determine that a limit does not exist.
Determine if functions are continuous, analytically or from a graph, and identify different types of discontinuities.
Compute derivatives of functions or determine that a derivative does not exist.
Sketch graphs of functions based on information about their first and second derivatives.
Solve optimization problems.
Use Newton's method to solve equations and identify limitations of the method.
Find antiderivatives of functions with and without initial conditions.
Compute definite integrals as the limit of Riemann sums and approximate integrals using finite Riemann sums.
Evaluate definite and indefinite integrals using the Fundamental Theorem of Calculus and the method of substitution.
Compute areas and volumes using definite integrals. | 677.169 | 1 |
Math for Meds: Dosages and Solutions / Edition 7Paperback
OverviewMath for Meds makes learning realistic and exactly as you will encounter in the clinical setting. A choice of ratio and proportion formats allows you to choose the math you are familiar with. Simple and easy to use formulas are included for many calculations.
Extensive coverage of intravenous therapy includes basic IV setups, types of IV solutions, interpreting IV orders, and calculating safe dosages. Illustrated explanations will familiarize you with state of the art electronic infusion devices.
Special sections include pediatric calculations and medication administration, insulin dosages, heparin therapy, flow rates and titrations in critical care, and more. This exciting and comprehensive text is guaranteed to teach everything you need to know about dosages and solutions! | 677.169 | 1 |
In the 21st century, technology plays an important role to users, businesses and higher education to raise performance, productivity and endorse gratification. Technology usage increased collaboration, cooperation, and communication among users as easily as to recapture information, entertainment, marketing, political, health information and online... more...
Symposia Mathematica, Volume I focuses on research in the field of mathematics and its applications. This book discusses the definition of S-semigroup, extensions of R modules, structure of H, laws of conservation and equations of motion, and measures of strain. The basic equations for continua with internal rotations, general concepts of the discrete... more...
Group Theory and Its Applications focuses on the applications of group theory in physics and chemistry. The selection first offers information on the algebras of lie groups and their representations and induced and subduced representations. Discussions focus on the functions of positive type and compact groups; orthogonality relations for square-integrable... more...
Make studying statistics simple with this easy-to-read resource Wouldn't it be wonderful if studying statistics were easier? With U Can: Statistics I For Dummies, it is! This one-stop resource combines lessons, practical examples, study questions, and online practice problems to provide you with the ultimate guide to help you score higher in your... more...
Currently there is substantial exchange and communication between academic communities around the world as researchers endeavour to discover why so many children 'fail' at a subject that society deems crucial for future economic survival. This book charts current thinking and trends in teacher education around the world, and looks critically at the... more...
Explores the psychology of thinking about post-secondary level mathematics, suggesting that the way it is taught does not correspond to the way it is learned. Addressed to mathematicians and educators in mathematics, considers the nature and cognitive theory of advanced mathematical thinking, and re more... | 677.169 | 1 |
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Computer Programming
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Special AMC 12 Problem Seminar
This course is a special 5-hour weekend seminar to prepare for the AMC 12, which is the first in the series of tests used to determine the United States team at the International Math Olympiad. Many top colleges also request AMC scores as part of the college application process. In this course, students learn problem solving strategies and test-taking tactics. The course also includes a practice AMC 12 test. This course is the same as the Special AMC 12 Problem Seminar offered last year.
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Spring 2016
This course will be offered in Spring 2016. Click here to join our mailing list to be notified when the course schedule is available.
AoPS Holidays
There are no classes November 23-27 or December 19-January 3.
Who Should Take?
This class is appropriate for students who are hoping to pass the AMC 12. If a student already consistently scores above 120 on the AMC 12, this class is probably not necessary, and if a student is unlikely to score more than 80, then that student should start with some of our Introduction series of classes or the AMC 10 Problem Series.
Lessons
Lesson 1
Counting and Number Theory
Lesson 2
Algebra and Geometry
Very nice class and nice explanations! I liked how the instructors went through their thinking process, without just showing the solution. | 677.169 | 1 |
Chapter Zero Fundamental Notions of Abstract Mathematics
9780201826531
ISBN:
0201826534
Publisher: Addison-Wesley Longman, Incorporated
Summary: This book is designed for the sophomore/junior level Introduction to Advanced Mathematics course. Written in a modified R.L. Moore fashion, it offers a unique approach in which readers construct their own understanding. However, while readers are called upon to write their own proofs, they are also encouraged to work in groups. There are few finished proofs contained in the text, but the author offers "proof sketches..." and helpful technique tips to help readers as they develop their proof writing skills. This book is most successful in a small, seminar style class. Logic, Sets, Induction, Relations, Functions, Elementary Number Theory, Cardinality, The Real Numbers For all readers interested in abstract mathematics.
Schumacher, Carol is the author of Chapter Zero Fundamental Notions of Abstract Mathematics, published under ISBN 9780201826531 and 0201826534. Six Chapter Zero Fundamental Notions of Abstract Mathematics textbooks are available for sale on ValoreBooks.com, five used from the cheapest price of $7.86, or buy new starting at $29.54 | 677.169 | 1 |
Developmental Mathematics
Developmental Mathematics
Purpose of Developmental Mathematics Program
The Developmental Mathematics Program provides the opportunity for students to learn the skills and concepts needed to be successful in college by offering various courses to most efficiently meet students' needs. The Developmental Mathematics Department seeks to foster student success through cultivating students' self-confidence, self-management, and by encouraging a positive attitude; as well as enhancing success through teaching and modeling study skills, problem solving, and critical thinking. | 677.169 | 1 |
Search Results
Spiral Physics is a research based introductory physics curriculum developed at Monroe Community College. There are several important features of this curriculum. It integrates text and workbook activities in a modular...
This simulation-based laboratory activity allows the student to practice several types of graphs and explore the types of information that we can collect from graphs. Coverage include exploration of linear, non-linear...
Exercises posted on this web site offer an opportunity for students to evaluate how much they have retained in various subjects of Algebra. Topics covered include geometry, functions, vectors, and statistics. There are...
This web page, authored and curated by David P. Stern, introduces vectors as an extension of numbers having both magnitude and direction. The initial motivation is to describe velocity but the material includes a...
This is a short study guide from the University of Maryland's Physics Education Research Group on introducing, interpreting, and using complex numbers. Mathematical equations are included to help students understand the... | 677.169 | 1 |
Problem-Solving Strategies (Problem Books in Mathematics)
by Arthur Engel Publisher Comments
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to... (read more)
Overcoming Math Anxiety, Revised and Expanded (93 Edition)
by Sheila Tobias Synopsis
Sheila Tobias said it first: mathematics avoidance is not a failure of intellect, but a failure of nerve. When this book was first published in 1978, Tobias's political and psychological analysis brought hope and made "math anxiety" a household... (read more)
How the Brain Learns Mathematics (2ND 15 Edition)
by David Anthony Sousa Book News Annotation
Sousa, a consultant in educational neuroscience, author of books on
brain research and learning, and former teacher, describes how the
brain learns math and how teachers can design math instruction. He
discusses how children develop number sense and... (read more)
Old Dogs, New Math: Homework Help for Puzzled Parents
by Rob Eastaway Publisher Comments
"Perfect for parents who want to understand the different methods to do arithmetic their children are learning—and why they are being taught that way." —Keith Devlin, award-winning Stanford University mathematician "Can you... (read more)
Mathematical Analysis and Proof: Second Edition
by David S. G. Stirling Publisher Comments
This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills... (read more)
Teaching Mathematics Foundations to Middle Years
by Dianne Siemon Publisher Comments
Teaching Mathematics: Foundations to Middle Years connects teacher education students to the bigger picture of mathematics. It shows them how to communicate mathematically, feel positive about mathematics and their role in teaching it and to enter the... (read more)
The Stanford Mathematics Problem Book: With Hints and Solutions
by George Polya Publisher Comments
This volume features a complete set of problems, hints, and solutions based on Stanford University's well-known competitive examination in mathematics. It offers high school and college students an excellent mathematics workbook of rigorous problems... (read more)
Math and Literature
by Marilyn Burns Publisher Comments
From Quack and Count to Harry Potter, the imaginative ideas in childrens books come to life in math lessons through this unique series. Each resource provides more than 20 classroom-tested lessons that engage children in mathematical problem solving and... (read more)
A Month-To-Month Guide: Fourth-Grade Math
by Lainie Schuster Publisher Comments
Planning math instruction is a demanding aspect of teaching. Teachers need to have an overall sense of the curriculum for the whole year, of whats going to be taught each month, and of what specifically to teach each day. Planning math instruction... (read more)
Computer Aided Assessment of Mathematics
by Chris Sangwin Publisher Comments
Assessment is a key driver in mathematics education. This book examines computer aided assessment (CAA) of mathematics in which computer algebra systems (CAS) are used to establish the mathematical properties of expressions provided by students in... (read more)
Perspectives on Mathematics Education
by H. Christiansen Review
`...it will be fundamental reference, for years to come, for the training of mathematics teachers.' `It is a stimulating book, which will have a position in my bookshelf next to those of H. Freudenthal, and I know that I will refer to it many times | 677.169 | 1 |
Series Info
Insights Into Algebra 1: Teaching for Learning
Participants will explore strategies to improve the way they teach 16 topics found in most Algebra 1 programs. In each session, participants will view two half-hour videos that showcase effective strategies for teaching mathematical topics. Then, led by the workshop guide, participants will engage in activities designed to help them examine their teaching practice, incorporate what they are learning into their practice, share their experiences with other teachers, and reflect on their ongoing development.
Episode Guide
1.Variables and Patterns of Change — In Part I, Janel Green introduces a swimming pool problem as a context to help her students understand and make connections between words and symbols as used in algebraic situations. In Part II, Jenny Novak's students work with manipulatives and algebra to develop an understanding of the equivalence transformations used to solve linear equations.
2.Linear Functions and Inequalities — In Part I, Tom Reardon uses a phone bill to help his students deepen their understanding of linear functions and how to apply them. In Part II, Janel Green's hot dog vending scheme is a vehicle to help her students learn how to solve linear equations and inequalities using three methods: tables, graphs, and algebra.
3.Systems of Equations and Inequalities — In Part I, Jenny Novak's students compare the speed at which they write with their right hands with the speed at which they write with their left hands. In Part II, Patricia Valdez's students model a real-world business situation using systems of linear inequalities.
4. Quadratic Functions — In Part I, Tremain Nelson and his students use a basketball toss as a launching point to learn how the constants in the equation y = a(x – h)2 + k transform the parent function y = x2. In Part II, Tremain and the students apply what they learned in the previous lesson to model several bounces of a ball dropped below a motion detector.
5.Properties — In Part I, Tom Reardon's students come to understand the process of factoring quadratic expressions by using algebra tiles, graphing, and symbolic manipulation. In Part II, Sarah Wallick's students conduct coin-tossing and die-rolling experiments and use the data to write basic recursive equations and compare them to explicit equations.
6.Exponential Functions — In Part I, Orlando Pajon uses a population growth simulation to introduce students to exponential growth and develop the conceptual understanding underlying the principles of exponential functions. In Part II, a scenario from Alice in Wonderland helps Mike Melville's students develop a definition of a negative exponent and understand the reasoning behind the division property of exponents with like bases.
7.Direct and Inverse Variation — In Part I, Peggy Lynn's students simulate oil spills on land and investigate the relationship between the volume and the area of the spill to develop an understanding of direct variation. In Part II, they develop the concept of inverse variation by examining the relationship of the depth and surface area of a constant volume of water that is transferred to cylinders of different sizes.
8.Mathematical Modeling — In Part I, Sarah Wallick's students use a pulley system to explore the effects of one rotating object on another and develop the concept of transmission factor. In Part II, Orlando Pajon's students conduct a series of experiments, determine the pattern by which each set of data changes over time, and model each set of data with a linear function or an exponential function. | 677.169 | 1 |
Prealgebra (with CD-ROM, Make the Grade, andTussy and Gustafson's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. In this thorough review of arithmetic and geometry, the authors also introduce the fundamental algebraic concepts needed by students who intend to take an introductory algebra course. Tussy and Gustafson build the strong mathematical foundation necessary to give students confidence to apply their newly acquired skills in further mathematics courses, at home, or on the job. | 677.169 | 1 |
Course Information
Teaching Writing in Mathematics
Course Description:
Integrating writing into mathematics presents both challenges and opportunities. This course provides the tools you need to make writing in mathematics work. Explore the benefits and challenges of using writing in mathematics and practical tools to integrate writing in substantial, meaningful ways in the classroom. Use a mathography lesson to gain insight into your students' attitudes and learn how to help your students organize and communicate mathematical concepts, and interact with others using prior knowledge and experiences. Explore strategies for assessing students' writing and utilize technology to jump-start it.
If you like this course, you may also like: * RDLA220 Teaching Writing in the Content Area (30 hours) * MATH150 Making Comparisons with Data Analysis (30 hours) * MATH186 Math in Everyday Life | 677.169 | 1 |
The aftermath of calculator use in college classrooms
Date:
November 12, 2012
Source:
University of Pittsburgh
Summary:
Math instructors promoting calculator usage in college classrooms may want to rethink their teaching strategies, experts say. They have proposed the need for further research regarding calculators' role in the classroom after conducting a limited study with undergraduate engineering students.
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Math instructors promoting calculator usage in college classrooms may want to rethink their teaching strategies, says Samuel King, postdoctoral student in the University of Pittsburgh's Learning Research & Development Center. King has proposed the need for further research regarding calculators' role in the classroom after conducting a limited study with undergraduate engineering students published in the British Journal of Educational Technology.
"We really can't assume that calculators are helping students," said King. "The goal is to understand the core concepts during the lecture. What we found is that use of calculators isn't necessarily helping in that regard."
Together with Carol Robinson, coauthor and director of the Mathematics Education Centre at Loughborough University in England, King examined whether the inherent characteristics of the mathematics questions presented to students facilitated a deep or surface approach to learning. Using a limited sample size, they interviewed 10 second-year undergraduate students enrolled in a competitive engineering program. The students were given a number of mathematical questions related to sine waves -- a mathematical function that describes a smooth repetitive oscillation -- and were allowed to use calculators to answer them. More than half of the students adopted the option of using the calculators to solve the problem.
"Instead of being able to accurately represent or visualize a sine wave, these students adopted a trial-and-error method by entering values into a calculator to determine which of the four answers provided was correct," said King. "It was apparent that the students who adopted this approach had limited understanding of the concept, as none of them attempted to sketch the sine wave after they worked out one or two values."
After completing the problems, the students were interviewed about their process. A student who had used a calculator noted that she struggled with the answer because she couldn't remember the "rules" regarding sine and it was "easier" to use a calculator. In contrast, a student who did not use a calculator was asked why someone might have a problem answering this question. The student said he didn't see a reason for a problem. However, he noted that one may have trouble visualizing a sine wave if he/she is told not to use a calculator.
"The limited evidence we collected about the largely procedural use of calculators as a substitute for the mathematical thinking presented indicates that there might be a need to rethink how and when calculators may be used in classes -- especially at the undergraduate level," said King. "Are these tools really helping to prepare students or are the students using the tools as a way to bypass information that is difficult to understand? Our evidence suggests the latter, and we encourage more research be done in this area."
King also suggests that relevant research should be done investigating the correlation between how and why students use calculators to evaluate the types of learning approaches that students adopt toward problem solving in mathematics.
University of Pittsburgh. "The aftermath of calculator use in college classrooms." ScienceDaily. ScienceDaily, 12 November 2012. <
University of Pittsburgh. (2012, November 12). The aftermath of calculator use in college classrooms. ScienceDaily. Retrieved October 6, 2015 from
University of Pittsburgh. "The aftermath of calculator use in college classrooms 11, 2015 — A new study has found that teachers who report having more symptoms of depression had classrooms that were of lesser quality, and that students in these classrooms had fewer performance gains.Feb. 5, 2013 — Researchers have developed a classroom design that gives instructors increased flexibility in how to teach their courses and improves accessibility for students, while slashing administrative ... read more | 677.169 | 1 |
Written by authors at the forefront of modern algorithms research, Delaunay Mesh Generation demonstrates the power and versatility of Delaunay meshers in tackling complex geometric domains ranging from polyhedra with internal boundaries to piecewise smooth surfaces. Covering both volume and surface meshes, the authors fully explain how and why these... more...
"Gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includes?results with many historical comments giving the reader a sound perspective to look at the subject." --Mathematical Reviews book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and | 677.169 | 1 |
Introductory Physics With Algebra Mastering Problem-solving
9780471762508
ISBN:
0471762504
Pub Date: 2006 Publisher: Wiley & Sons, Incorporated, John
Summary: Get a better grade in Physics! Physics may be challenging, but with training and practice you can come out of your physics class with the grade you want! With Stuart Loucks' Introductory Physics with Algebra as a Second Languagea?: Mastering Problem-Solving, you'll get the practice and training you need to better understand fundamental principles, build confidence, and solve problems. Here's how you can get a better ...grade in physics: Understand the basic language of physics Introductory Physics with Algebra as a Second Languagea? will help you make sense of your textbook and class notes so that you can use them more effectively. The text explains key topics in algebra-based physics in clear, easy-to-understand language. Break problems down into simple steps Introductory Physics with Algebra as a Second Languagea? teaches you to recognize details that tell you how to begin new problems. You will learn how to effectively organize the information, decide on the correct equations, and ultimately solve the problem. Learn how to tackle unfamiliar physics problems Stuart Loucks coaches you in the fundamental concepts and approaches needed to set up and solve the major problem types. As you learn how to deal with these kinds of problems, you will be better equipped to tackle problems you have never seen before. Improve your problem-solving skills You'll learn timesaving problem-solving strategies that will help you focus your efforts and avoid potential pitfalls.
Loucks, Stuart E. is the author of Introductory Physics With Algebra Mastering Problem-solving, published 2006 under ISBN 9780471762508 and 0471762504. One hundred forty two Introductory Physics With Algebra Mastering Problem-solving textbooks are available for sale on ValoreBooks.com, fifty two used from the cheapest price of $41.64, or buy new starting at $43 | 677.169 | 1 |
Explained: Matrices
December 6, 2013
by Larry Hardesty
A matrix multiplication diagram.
Matrices arose originally as a way to describe systems of linear equations, a type of problem familiar to anyone who took grade-school algebra. "Linear" just means that the variables in the equations don't have any exponents, so their graphs will always be straight lines.
The equation x - 2y = 0, for instance, has an infinite number of solutions for both x and y, which can be depicted as a straight line that passes through the points (0,0), (2,1), (4,2), and so on. But if you combine it with the equation x - y = 1, then there's only one solution: x = 2 and y = 1. The point (2,1) is also where the graphs of the two equations intersect.
The matrix that depicts those two equations would be a two-by-two grid of numbers: The top row would be [1 -2], and the bottom row would be [1 -1], to correspond to the coefficients of the variables in the two equations.
In a range of applications from image processing to genetic analysis, computers are often called upon to solve systems of linear equations—usually with many more than two variables. Even more frequently, they're called upon to multiply matrices.
Matrix multiplication can be thought of as solving linear equations for particular variables. Suppose, for instance, that the expressions t + 2p + 3h; 4t + 5p + 6h; and 7t + 8p + 9h describe three different mathematical operations involving temperature, pressure, and humidity measurements. They could be represented as a matrix with three rows: [1 2 3], [4 5 6], and [7 8 9].
Now suppose that, at two different times, you take temperature, pressure, and humidity readings outside your home. Those readings could be represented as a matrix as well, with the first set of readings in one column and the second in the other. Multiplying these matrices together means matching up rows from the first matrix—the one describing the equations—and columns from the second—the one representing the measurements—multiplying the corresponding terms, adding them all up, and entering the results in a new matrix. The numbers in the final matrix might, for instance, predict the trajectory of a low-pressure system.
Of course, reducing the complex dynamics of weather-system models to a system of linear equations is itself a difficult task. But that points to one of the reasons that matrices are so common in computer science: They allow computers to, in effect, do a lot of the computational heavy lifting in advance. Creating a matrix that yields useful computational results may be difficult, but performing matrix multiplication generally isn't.
One of the areas of computer science in which matrix multiplication is particularly useful is graphics, since a digital image is basically a matrix to begin with: The rows and columns of the matrix correspond to rows and columns of pixels, and the numerical entries correspond to the pixels' color values. Decoding digital video, for instance, requires matrix multiplication; earlier this year, MIT researchers were able to build one of the first chips to implement the new high-efficiency video-coding standard for ultrahigh-definition TVs, in part because of patterns they discerned in the matrices it employs.
In the same way that matrix multiplication can help process digital video, it can help process digital sound. A digital audio signal is basically a sequence of numbers, representing the variation over time of the air pressure of an acoustic audio signal. Many techniques for filtering or compressing digital audio signals, such as the Fourier transform, rely on matrix multiplication.
Another reason that matrices are so useful in computer science is that graphs are. In this context, a graph is a mathematical construct consisting of nodes, usually depicted as circles, and edges, usually depicted as lines between them. Network diagrams and family trees are familiar examples of graphs, but in computer science they're used to represent everything from operations performed during the execution of a computer program to the relationships characteristic of logistics problems.
Every graph can be represented as a matrix, however, where each column and each row represents a node, and the value at their intersection represents the strength of the connection between them (which might frequently be zero). Often, the most efficient way to analyze graphs is to convert them to matrices first, and the solutions to problems involving graphs are frequently solutions to systems of linear equations.
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In the last decade, theoretical computer science has seen remarkable progress on the problem of solving graph Laplacians—the esoteric name for a calculation with hordes of familiar applications in scheduling, image processing | 677.169 | 1 |
Introduction to Abstract Algebra
9781420063714
ISBN:
1420063715
Pub Date: 2008 Publisher: Taylor & Francis, Inc.
Summary: Taking a slightly different approach from similar texts, Introduction to Abstract Algebrapresents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles.A Quick Introduction to AlgebraThe first three chapters of the book show how functional composition, cycl...e notation for permutations, and matrix notation for linear functions provide techniques for practical computation. The author also uses equivalence relations to introduce rational numbers and modular arithmetic as well as to present the first isomorphism theorem at the set level.The Basics of Abstract Algebra for a First-Semester CourseSubsequent chapters cover orthogonal groups, stochastic matrices, Lagrange's theorem, and groups of units of monoids. The text also deals with homomorphisms, which lead to Cayley's theorem of reducing abstract groups to concrete groups of permutations. It then explores rings, integral domains, and fields.Advanced Topics for a Second-Semester CourseThe final, mostly self-contained chapters delve deeper into the theory of rings, fields, and groups. They discuss modules (such as vector spaces and abelian groups), group theory, and quasigroups.
Smith, Jonathan D. H. is the author of Introduction to Abstract Algebra, published 2008 under ISBN 9781420063714 and 1420063715. One hundred eighty nine Introduction to Abstract Algebra textbooks are available for sale on ValoreBooks.com, four used from the cheapest price of $57.80, or buy new starting at $35 | 677.169 | 1 |
Freund's text, which is based on a course that the author taught to university students fulfilling their general education requirement, is a clearly written and carefully constructed introduction to basic discrete probability. Each topic is placed in context and is illustrated by copious examples that demonstrate both the relevance and utility of probability. The exercises at the end of each section, which are generally straightforward applications of the material covered in that section, reinforce the reader's understanding of the material. Answers are provided to the odd-numbered exercises, making the text suitable for self-study. This text is a good entry point to the study of probability. However, the scope of the text is limited. The emphasis is on how to solve problems rather than the underlying theory. Freund succeeds in making the text as widely accessible as possible, albeit at the expense of a deeper understanding of the material.
The text begins with a chapter on enumerative combinatorics that covers tree diagrams, the Multiplication Principle, factorials, permutations, combinations, and indistinguishable objects. Freund then introduces the classical, frequentist, and subjective (Bayesian) approaches to probability. He contrasts the different approaches, demonstrates how each is applied, discusses their limitations, and shows that they lead to equivalent results. In the following chapter on the mathematical expectation of an event, Freund illustrates how probability is used in making business decisions. Next, Freund puts probability on a formal footing, discussing events, sample spaces, compound events, mutually exclusive events, and probability measures.Read more ›
I've never seen a probability book with such good examples. Most books on probability give you all of the equations, but they don't really tell you how to apply them to real situations. This book has nothing but real examples. It is the book on probability that I have been looking for
This book is very good for those who have little knowledge in Probability but do manage some basic math concepts: polinomials, factorials, limits, etc. I bought it because I was looking for a mathematical course in Probability but this book is not for that, it is very simple. It is not a "definition-theorem-proof" book.
As an introduction to probability, this is an excellent book: easy to read, easy to follow, good contents, etc. The title does say introduction, so don't expect to emerge as the master of probability/statistics after reading this book. | 677.169 | 1 |
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Multivariable calculus
Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.
Divergence theorem
An earlier tutorial used Green's theorem to prove the divergence theorem in 2-D, this tutorial gives us the 3-D version (what most people are talking about when they refer to the "divergence theorem"). We will get an intuition for it (that the flux through a close surface--like a balloon--should be equal to the divergence across it's volume). We will use it in examples. We will prove it in another tutorial.
You know what the divergence theorem is, you can apply it and you conceptually understand it. This tutorial will actually prove it to you (references types of regions which are covered in the "types of regions in 3d" tutorial. | 677.169 | 1 |
Search Results
This course introduces the basic tools of game theoretic analysis and outlines some of the many applications of game theory with extensive lecture notes, slides, assignments, and exams with solutions. Game Theory is a...
This course provides lecture notes, readings, and assignments on quantitative techniques of Operations Research with emphasis on applications in transportation systems analysis and in the planning and design of...
This page, created by David Howell of the University of Vermont, is a collection of examples, demonstrations, and exercises that can be used to motivate a lecture, demonstrate an important point, or create a laboratory...
DIG Stats is a resource, created by the Central Virginia Governor's School for Science and Technology, for integrating statistics and data visualization into mathematics and science courses. The program focuses on this...
This page, created by Intuitor.com, discusses disadvantages of large datasets with regard to Simpson's Paradox. "When big data sets go bad" is the headline of this lesson and this creative line epitomizes the focus of... | 677.169 | 1 |
Open source MTH 164Open source MTH 163This is the extended edition of Precalculus: An Investigation of Functions, a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. This edition includes an... More > extended coverage of polynomial roots in chapter 3, and adds a section on dot product in chapter 8. This is NOT the same version available on Amazon/CreateSpace.< Less
The entire eBook contents such as theorem proofs, examples, including a good percentage of the exercise questions, are explained by 500 online video clips. The video lecture links are located beside... More > the corresponding contents in the eBook. For dynamically defined mathematical concepts, animation graphs have been made for easily understanding. The hyperlinks in the eBook are the third good features. From the table of contents, from the index or from cross references, readers may go to a certain section or a page by a simple click. Author's colleagues like the highly interactive features, video clips' easy accesses and graph animations. The colleagues are impressed by the amount of effort the author has made on the eBook. The eBook is author's five year accumulated work of the online classes. The author sincerely hope the eBook could make readers' math learning experience happier. For more information about the eBook e.g., the eBook sample or the table of contents, readers may visit the website ebookvideo.net.< Less
We are students who became authors! We came together in the classroom, and sometimes in the hallway of East Sac County High School, with the hope that a common language and understanding could be... More > formed from one student to another in graphing all sorts of functions.
Learn how to graph quadratics, polynomials, and rational functions with our class. We define key terms and explain how to step through processes of finding key elements about these functions. In the end we hope you can graph with ease | 677.169 | 1 |
Summary
Introductory Algebra prepares students for Intermediate Algebra by covering fundamental algebra concepts and key concepts needed for further study. Students of all backgrounds will be delighted to find a refreshing book that appeals to every learning style and reaches out to diverse demographics. Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master algebra in the real world.
Table of Contents
A Real-World Approach
R Prealgebra Review
R1 Fractions
R2 Operations with Fractions
R3 Decimals and Percents
Real Numbers And Their Properties
Introduction to Algebra
The Real Numbers
Adding and Subtracting Real Numbers
Multiplying and Dividing Real Numbers
Order of Operations
Properties of the Real Numbers
Simplifying Expressions
Equations, Problem Solving, And Inequalities
The Addition and Subtraction Properties of Equality
The Multiplication and Division Properties of Equality: Applications with Percents | 677.169 | 1 |
Applied Combinatorics, 6th Edition
The new 6th edition of Applied Combinatorics
builds on the previous editions with more in depth analysis of
computer systems in order to help develop proficiency in basic
discrete math problem solving. As one of the most widely used book
in combinatorial problems, this edition explains how to reason and
model combinatorically while stressing the systematic analysis of
different possibilities, exploration of the logical structure of a
problem, and ingenuity. Although important uses of combinatorics in
computer science, operations research, and finite probability are
mentioned, these applications are often used solely for motivation.
Numerical examples involving the same concepts use more interesting
settings such as poker probabilities or logical games.
This book is designed for use by students with a wide range of
ability and maturity (sophomores through beginning graduate
students). The stronger the students, the harder the exercises that
can be assigned. The book can be used for one-quarter, two-quarter,
or one-semester course depending on how much material is used.
Theory is always first motivated by examples, and proofs are
given only when their reasoning is needed to solve applied
problems. Elsewhere, results are stated without proof, such as the
form of solutions to various recurrence relations, and then applied
in problem solving.
This new sixth edition has new examples, expanded discussions,
and additional exercises throughout the text. | 677.169 | 1 |
Getting a feel for equations and inequalities
4 videos
1 skill
The core underlying concepts in algebra are variables, expressions, equations and inequalities. You will see them throughout your math life (and even life after school).
This tutorial won't give you all the tools that you'll later learn to analyze and interpret these ideas, but it'll get you started thinking about them. | 677.169 | 1 |
Synopses & Reviews
Publisher Comments:
Geometry is hard. This book makes it easier. You do the math. This is the fourth title in the series designed to help high school and college students through a course they'd rather not be taking. A non-intimidating, easy- to-understand companion to their textbook, this book takes students through the standard curriculum of topics, including proofs, polygons, coordinates, topology, and much more.
Synopsis:
See geometry from all the right anglesAbout the Author
Denise Szecsei, Ph.D., is an assistant professor of mathematics at Stetson University where she teaches finite mathematics, mathematical modeling, and geometry, as well as a variety of liberal arts mathematics classes. Professor Szecsei developed a geometry class for liberal arts students and elementary education majors and has taught this class over the last three years, giving her firsthand knowledge of how to explain the concepts of geometry to those whose career paths will likely have little to do with the subject | 677.169 | 1 |
Recently, 25 middle school and high school teachers in the Arlington Central School District finished an electronic textbook (E-Text) for our introductory Algebra course. This effort was named "The Arlington Algebra Project." The E-Text is comprised of approximately 120 lessons and associated homeworks that, we believe, robustly cover the NYSED standards for Integrated Algebra 1.
We have placed this E-Text on CD's. Included are both MS Word and Adobe PDF files for all lessons and homeworks. We now plan to distribute it for free to interested districts. We have copyrighted the E-Text in order to keep it free to the public.
This E-Text was carefully developed over the span of two years using the Understanding by Design curriculum model (Wiggins and McTighe). We are currently using it with approximately 700 8th and 9th grade students. So far, we are pleased with its quality and its ability to integrate graphing calculator technology into algebraic instruction. Because the text comes in Word files, it is easily modified for various purposes(enrichment, I.E.P.'s, etc.).
I have attached a few of the lessons files to this post. Interested districts can email me for a copy of the E-Text. I do ask that districts limit themselves to one CD because it is easily copied to multiple computers and their are some associated costs with producing the CD's. Anyone who is interested in receiving a copy, please email me and include the following:
(1) Your name (2) The district/school/organization you work for (3) A physical address that I can send the CD to
Arlington is giving this E-Text away for free because we believe that by making resources easily available to everyone who wants them will give teachers the time to become more creative in their activities and assessments without having to worry about the day to day lessons and worksheets. | 677.169 | 1 |
Graph Theory. Wiley Series in Discrete Mathematics and Optimization
A lively invitation to the flavor, elegance, and power of graph theory
This mathematically rigorous introduction is tempered and enlivened by numerous illustrations, revealing examples, seductive applications, and historical references. An award-winning teacher, Russ Merris has crafted a book designed to attract and engage through its spirited exposition, a rich assortment of well-chosen exercises, and a selection of topics that emphasizes the kinds of things that can be manipulated, counted, and pictured. Intended neither to be a comprehensive overview nor an encyclopedic reference, this focused treatment goes deeply enough into a sufficiently wide variety of topics to illustrate the flavor, elegance, and power of graph theory.
Another unique feature of the book is its user-friendly modular format. Following a basic foundation in Chapters 1-3, the remainder of the book is organized into four strands that can be explored independently of each other. These strands center, respectively, around matching theory; planar graphs and hamiltonian cycles; topics involving chordal graphs and oriented graphs that naturally emerge from recent developments in the theory of graphic sequences; and an edge coloring strand that embraces both Ramsey theory and a self-contained introduction to P?lya's enumeration of nonisomorphic graphs. In the edge coloring strand, the reader is presumed to be familiar with the disjoint cycle factorization of a permutation. Otherwise, all prerequisites for the book can be found in a standard sophomore course in linear algebra.
The independence of strands also makes Graph Theory an excellent resource for mathematicians who require access to specific topics without wanting to read an entire book on the subject.
Reviewed jointly with "A Beginner's Guide to Graph Theory" by W.D. Wallis published by Birkhauser:. "...both...are...quite similar.... Merris writes in a lively tone...all...have adequate sets of exercises. Those in Graph Theory are somewhat more generous, and perhaps more challenging...both are appropriate for upper-division undergraduates." (Choice, May 2001, Vol. 38 No. 9). . Compared to Graphs and Applications by Aldous and Wilson (Springer-Verlag 2000) and A Beginner's Guide to Graph Theory by Wallis (Birkhauser 2000): "...M [Merris] has a...sophisticated chapter on graphic sequences...some very nice material...which sets it apart from the other two books...all three books are well written.... I am especially impressed with the exercises in M. Not only are there more in M than in the other two books...but there is an excellent range of levels of the problems..." (SIAM Review, Vol. 43, No. 3). . "...a mathematically rigorous introduction and designed as a versatile instruction tool..." (Quarterly of Applied Mathematics, Vol. LIX, No. 2, June 2001). . "The author's intent to write a lean and lively invitation to graph theory designed to attract and engage students, is well met..." (Zentralblatt MATH, Vol. 963, 2001/13 172USD 193GBP 123Graph Theory. Wiley Series in Discrete Mathematics and Optimization
ASK A QUESTION
Product: Graph Theory. Wiley Series in Discrete Mathematics and Optim | 677.169 | 1 |
can help you review the key concepts including ratios, probability, geometry and graphs, as well as help with test-taking strategy, such as when it makes sense to guess, and when it doesn't. I have taken (and received an A) in college level discrete math (i.e. math for computer scientists vs. ... | 677.169 | 1 |
Intermediate Algebra (6th Edition)
9780321785046
ISBN:
0321785045
Edition: 6 Pub Date: 2012 Publisher: Pearson
Summary: Elayn Martin-Gay is the author of Intermediate Algebra (6th Edition), published 2012 under ISBN 9780321785046 and 0321785045. Four hundred forty six Intermediate Algebra (6th Edition) textbooks are available for sale on ValoreBooks.com, one hundred twenty seven used from the cheapest price of $51.70, or buy new starting at $124 New shrinkwrapped ANNOTATED INSTRUCTOR'S EDITION 2014, 6th edition hardcover as shown. Cannot tell if there are codes or supplements inside. Says all answers included. The student version of this book is ISBN 9780321785046. Ships same day/next business day w/ tracking. o271 -3g[less]
I absolutely loved this Intermediate Algebra book, I would not change anything about it. It was a wonderful step by step explanation of the materials it was teaching and I could not better understand algebra thanks to it.
I learned many algebraic equations fom this book. Might I say, I was afrid of mathematics begining to study it, but this book offered me many examples and practice problems for me quiz myself and understand.
The examples that each chapter has throughout the book that breaks down different algebra problems and shows you step by step how to work certain formulas was extremely helpful.
The primary subject of this book is covering the basics of Algebra. I was required to use this text book for my Intermediate Algebra class and it was very effective in helping me work through different algebra problems.
this one is more specific and use a general vocabulary, any person can understand what to do. I've read books about this subject in high school. I like this one more than those.
it was for a computer class, we were supposed to learn how to use windows 8 and its applications. they put more attention in teach how to use Word, Excel, Access and Power Point. I liked so much because it explain step by step what you have to do, you don't feel lost doing your assignments. Also it helped me in other classes, some professors ask for presentation in power point or flyers in Word. so, I can do it without problem. | 677.169 | 1 |
Walpole, MA PhysicsRobert A.
...It is only with calculus that we can really explain at a fundamental level many of the topics of mathematics previously studied. We mostly just say calculus, other say the calculus, as if it is the only one. There are many calculuses and calculus is the study of one of them. | 677.169 | 1 |
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Slide 1:
Matrix Operations
INTRODUCTION:
INTRODUCTION The knowledge of matrices is necessary in various branches of mathematics. Matrices are one of the most powerful tools in mathematics. This mathematical tool simplifies our work to a great extent when compared with other straight forward methods. The evolution of concept of matrices is the result of an attempt to obtain compact and simple methods of solving system of linear equations.
APPLICATIONS:
APPLICATIONS Matrices are not only used as a representation of the coefficients in system of linear equations, but utility of matrices far exceeds that use. Matrix notation and operations are used in electronic spreadsheet programs for personal computer, which in turn is used in different areas of business and science like budgeting, sales projection, cost estimation, analysing the results of an experiment etc.
Slide 4:
Also, many physical operations such as magnification, rotation and reflection through a plane can be represented mathematically by matrices. Matrices are also used in cryptography. This mathematical tool is not only used in certain branches of sciences, but also in genetics, economics, sociology, modern psychology and industrial management.
MATRIX NOTATION:
MATRIX NOTATION Suppose we wish to express the information that has Anita15 notebooks. We may express it as [15] with the understanding that the number inside [ ] is the number of notebooks that Anita has. Now, if we have to express that Anita has 15 notebooks and 6 pens. We may express it as [15 6] OR as a column matrix. with the understanding that at first number inside [ ] is the number of notebooks while the other one is the number of pens possessed by Anita .
Slide 6:
Let us now suppose that we wish to express the information of possession of notebooks and pens by Radha and her two friends Fauzia and Simran which is as follows: Radha has 15 notebooks and 6 pens, Fauzia has 10 notebooks and 2 pens, Simran has 13 notebooks and 5 pens.
DEFINITION:
DEFINITION A matrix is an ordered rectangular array of numbers or functions. The numbers or functions are called the elements or the entries of the matrix. We denote matrices by capital letters. The following are some examples of matrices:
Slide 8:
In the above examples, the horizontal lines of elements are said to constitute, rows of the matrix and the vertical lines of elements are said to constitute, columns of the matrix. Thus A has 3 rows and 2 columns, B has 3 rows and 3 columns while C has 2 rows and 3 columns.
Slide 9:
MATRIX: A rectangular arrangement of numbers in rows and columns. The ORDER of a matrix is the number of the rows and columns. The ENTRIES are the numbers in the matrix. What is a Matrix? rows columns This order of this matrix is a 2 x 3.
Slide 10:
Slide 11:
To add two matrices, they must have the same order. To add, you simply add corresponding entries. Adding Two Matrices
Slide 12:
= = 7 7 4 5 0 7 5 7
Slide 13:
Subtracting Two Matrices To subtract two matrices, they must have the same order. You simply subtract corresponding entries.
Slide 14:
= 5-2 -4-1 3-8 8-3 0-(-1) -7-1 1-(-4) 2-0 0-7 = 2 -5 -5 5 1 -8 5 3 -7
Slide 15:
Multiplying a Matrix by a Scalar In matrix algebra, a real number is often called a SCALAR . To multiply a matrix by a scalar, you multiply each entry in the matrix by that scalar.
Slide 16:
-2 6 -3 3 -2(-3) -5 -2(6) -2(-5) -2(3) 6 -6 -12 10
EXAMPLES:
EXAMPLES Example 1 Consider the following information regarding the number of men and women workers in three factories I, II and III Men workers Women workers I 30 25 II 25 31 III 27 26 Represent the above information in the form of a 3 × 2 matrix. What does the entry in the third row and second column represent? Example 2 If a matrix has 8 elements, what are the possible orders it can have? Example 3 Construct a 3 × 2 matrix whose elements are given by
TYPES OF MATRICES:
TYPES OF MATRICES
Slide 21:
A A
Slide 22:
A matrix U is an upper triangular matrix if its nonzero elements are found only in the upper triangle of the matrix, including the main diagonal; that is: u ij = 0 if i > j A matrix L is an lower triangular matrix if its nonzero elements are found only in the lower triangle of the matrix, including the main diagonal; that is: l ij = 0 if i < j
Properties of scalar multiplication of a matrix :
Properties of scalar multiplication of a matrix If A = [ a ij ] and B = [ b ij ] be two matrices of the same order, say m × n , and k and l are scalars, then (i) k (A +B) = k A + k B, (ii) ( k + l )A = k A + l A Hint:
:
Suppose Meera and Sara are two friends. Meera wants to buy 2 pens and 5 story books, while Sara needs 8 pens and 10 story books. They both go to a shop to enquire about the rates which are quoted as follows: Pen – Rs 5 each, story book – Rs 50 each. How much money does each need to spend? Clearly, Meera needs Rs (5 × 2 + 50 × 5) that is Rs 260, while Sara needs (8 × 5 + 50 × 10) Rs, that is Rs 540 How will you represent this in matrix form? Introduction Introduction for matrix multiplication
Slide 26:
Suppose that they enquire about the rates from another shop, quoted as follows: pen – Rs 4 each, story book – Rs 40 each. Now, the money required by Meera and Sara to make purchases will be respectively Rs (4 × 2 + 40 × 5) = Rs 208 and Rs (8 × 4 + 10 × 40) = Rs 432 How will you represent this information in matrix form?
Matrix Multiplication:
Matrix Multiplication For multiplication of two matrices A and B, the number of columns in A should be equal to the number of rows in B. Furthermore for getting the elements of the product matrix, we take rows of A and columns of B, multiply them element-wise and take the sum.
Slide 28:
Example EXAMPLE Remark If AB is defined, then BA need not be defined. In the above example, AB is defined but BA is not defined because B has 3 column while A has only 2 (and not 3) rows. If A, B are, respectively m × n , k × l matrices, then both AB and BA are defined if and only if n = k and l = m . In particular, if both A and B are square matrices of the same order, then both AB and BA are defined.
Non-commutativity of multiplication of matrices :
Non-commutativity of multiplication of matrices
REMARK:
REMARK In the above example both AB and BA are of different order and so AB ≠ BA. But one may think that perhaps AB and BA could be the same if they were of the same order. But it is not so, here we give an example to show that even if AB and BA are of same order they may not be same.
EXAMPLE:
EXAMPLE
Slide 32:
Zero matrix as the product of two non zero matrices We know that, for real numbers a , b if a X b = 0, then either a = 0 or b = 0. This need not be true for matrices , we will observe this through an example . Example
Properties of multiplication of matrices :
Properties of multiplication of matrices The associative law: For any three matrices A, B and C. We have (AB) C = A (BC), whenever both sides of the equality are defined. 2. The distributive law: For three matrices A, B and C. (i) A (B+C) = AB + AC (ii) (A+B) C = AC + BC, whenever both sides of equality are defined. 3. The existence of multiplicative identity: For every square matrix A, there exist an identity matrix of same order such that IA = AI = A.
Slide 34:
Transpose of a Matrix
Slide 35:
Properties of transpose of the matrices
Slide 36:
Symmetric and Skew Symmetric Matrices
Slide 39:
Example : Express the matrix B = as the sum of a symmetric and a skew symmetric matrix.
Slide 41:
Elementary Operation (Transformation) of a Matrix There are six operations (transformations) on a matrix, three of which are due to rows and three due to columns, which are known as elementary operations or transformations . (i) The interchange of any two rows or two columns . Symbolically the interchange of i th and j th rows is denoted by R i ↔ R j and interchange of i th and j th column is denoted by C i ↔ C j .
Slide 42:
(ii)The multiplication of the elements of any row or column by a non zero number . Symbolically, the multiplication of each element of the " i" th row by k ,where k ≠ 0 is denoted by R i → k R i . The corresponding column operation is denoted by C i → k C i (iii)The addition to the elements of any row or column, the corresponding elements of any other row or column multiplied by any non zero number. Symbolically, the addition to the elements of i th row, the corresponding elements of j th row multiplied by k is denoted by R i → R i + k R j . The corresponding column operation is denoted by C i → C i + k C j .
Invertible Matrices :
Invertible Matrices Definition : If A is a square matrix of order m , and if there exists another square matrix B of the same order m , such that AB = BA = I, then B is called the inverse matrix of A and it is denoted by A – 1 . In that case A is said to be invertible. NOTE: A rectangular matrix does not possess inverse matrix, since for products BA and AB to be defined and to be equal, it is necessary that matrices A and B should be square matrices of the same order. If B is the inverse of A, then A is also the inverse of B
Slide 44:
Theorem 3 (Uniqueness of inverse) Inverse of a square matrix, if it exists, is unique. Proof : Let A = [ aij ] be a square matrix of order m . If possible, let B and C be two inverses of A. We shall show that B = C. Since B is the inverse of A AB = BA = I ... (1) Since C is also the inverse of A AC = CA = I ... (2) Thus B = BI = B (AC) = (BA) C = IC = C
Slide 46:
Inverse of a matrix by elementary operations (i)Let X, A and B be matrices of, the same order such that X = AB. In order to apply a sequence of elementary row operations on the matrix equation X = AB, we will apply these row operations simultaneously on X and on the first matrix A of the product AB on RHS. (ii)Similarly, in order to apply a sequence of elementary column operations on the matrix equation X = AB, we will apply, these operations simultaneously on X and on the second matrix B of the product AB on RHS. (iii)To find A –1 using elementary row operations, write A = IA and apply a sequence of row operation on A = IA till we get, I = BA. The matrix B will be the inverse of A. Similarly, if we wish to find A –1 using column operations, then, write A = AI and apply a sequence of column operations on A = AI till we get, I = AB.
REMARK:
REMARK In case, after applying one or more elementary row (column) operations on A = IA (A = AI), if we obtain all zeros in one or more rows of the matrix A on L.H.S.,then A –1 does not exist.
Slide 48:
Algorithm for finding the inverse of a Matrix by Elementary Transformations Obtain the square matrix , say A whose order is 3x 3 Write A = I 3 A Introduce 1 at a 11 either by interchanging two rows or adding a constant multiple of elements of some other row to first row. After introducing 1 at a 11 introduce zeroes at all other places in first column. Introduce 1 at a 22 with the help of 2 nd and 3 rd row. After introducing 1 at a 22 introduce zeroes at all other places in 2nd column. 7) Introduce 1 at a 33 with the help of 3rd row and 3rd column. 8) After introducing 1 at a 33 introduce zeroes at all other places in third column. | 677.169 | 1 |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). | 677.169 | 1 |
Many designers use folding techniques in their work to make three-dimensional forms from two-dimensional sheets of fabric, cardboard, plastic, metal and many other materials. This book explains the key techniques...
Motivating readers by making maths easier to learn, this work includes complete past exam papers and student-friendly worked solutions which build up to practice questions, for all round exam preparation... | 677.169 | 1 |
Lial and Hestwood's Prealgebra: An Integrated Approach focuses on the basic concepts of algebra, while integrating arithmetic review and geometry topics into the text at appropriate points. The text begins with early coverage of integers (Section 1.2) and then introduces variables, expressions, and equations in such a way that students see the need for variables, the usefulness of algebraic expressions and formulas, and the power of writing and solving equations.
CourseSmart textbooks do not include any media or print supplements that come packaged with the bound book. | 677.169 | 1 |
Search Results
Louise Huttner of Burlington County College designed this activity to help students learn and practice their calculus skills. Students will collect data on the monthly temperature of a city. They will then graph and...
Crafting new instructional aids for math courses can be difficult, but this helpful new article from Markus Hohenwarter and Judith Preiner will bring much joy to the hearts of mathematics teachers everywhere. This...
Mathworld, hosted and sponsored by Wolfram Research, Inc., is an online mathematics encyclopedia intended for students, educators, math enthusiasts, and researchers. This amazing resource was compiled over 12 years by... | 677.169 | 1 |
Methods of Geometry
A practical, accessible introduction to advanced geometry
Exceptionally well-written and filled with historical and
bibliographic notes, Methods of Geometry presents a practical and
proof-oriented approach. The author develops a wide range of
subject areas at an intermediate level and explains how theories
that underlie many fields of advanced mathematics ultimately lead
to applications in science and engineering. Foundations, basic
Euclidean geometry, and transformations are discussed in detail and
applied to study advanced plane geometry, polyhedra, isometries,
similarities, and symmetry. An excellent introduction to advanced
concepts as well as a reference to techniques for use in
independent study and research, Methods of Geometry also
features:
"It should be emphasized that the book is filled with historical
and bibliographic notes, good motivations and a number of
exercises. Altogether, it can be regarded as a good approach to a
special part of geometry on an intermediate level." (Zentralblatt
Math, Volume 955, No 5, 2001)
"Fine interweaving of history, foundations, and geometry.... Useful
as a source of exercises." (American Mathematical Monthly, November
2001 | 677.169 | 1 |
Survey of Mathematics with Applications, A (8th Edition)
9780321501073
ISBN:
0321501071
Edition: 8th Pub Date: 2007 Publisher: Pearson
Summary: This best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical concepts as they relate to varied disciplines. The text provides an appreciation of mathematics, highlighting mathematical history, and applications of math to the arts and sciences. It is an ideal book for students who require a general overview of mathematics, especially those majoring in liberal arts, the soci...al sciences, business, nursing and allied health fields. Let us introduce you to the practical, interesting, accessible, and powerful world of mathematics today-the world ofA Survey of Mathematics with Applications,8e.
Allen R. Angel is the author of Survey of Mathematics with Applications, A (8th Edition), published 2007 under ISBN 9780321501073 and 0321501071. Four hundred two Survey of Mathematics with Applications, A (8th Edition) textbooks are available for sale on ValoreBooks.com, one hundred ninety seven used from the cheapest price of $2.03, or buy new starting at $40.87Cover/spine damage | 677.169 | 1 |
The Eighth Edition of this highly dependable book retains its best features--accuracy, precision, depth, and abundant exercise sets--while substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers. Chapter topics include Graphs; Polynomial and Rational Functions; Conics; Systems of Equations and Inequalities; Exponential and Logarithmic Functions; Counting and Probability; and more. For individuals with an interest in learning algebra as it applies to their everyday lives.
Mike Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. In the Ninth Edition, Precalculus has evolved to meet today's course needs, building on these hallmarks by integrating projects and other interactive learning tools for use in the classroom or online.
These authors understand what it takes to be successful in mathematics, the skills that students bring to this course, and the way that technology can be used to enhance learning without sacrificing math skills. As a result, they have created a textbook with an overall learning system involving preparation, practice, and review to help students get the most out of the time they put into studying. In sum, Sullivan and Sullivan's Precalculus:Enhanced with Graphing Utilities gives students a model for success in mathematics.
Trees of San Francisco introduces readers to the rich variety of trees that thrive in San Francisco's unique conditions. San Francisco's cool Mediterranean climate has made it home to interesting and unusual trees from all over the world - trees as colorful and exotic as the city itself.This new guide combines engaging descriptions of sixty-five different trees with color photos that reflect the visual appeal of San Francisco. Each page covers a different tree, with several paragraphs of interesting text accompanied by one or two photos. Each entry for a tree also lists locations where "landmark" specimens of the tree can be found. Interspersed throughout the book are sidebar stories of general interest related to San Francisco's trees. Trees of San Francisco also includes a dozen tree tours that will link landmark trees and local attractions in interesting San Francisco neighborhoods such as the Castro, Pacific Heights and the Mission - walks that will appeal to tourists as well as Bay Area natives.
A proven motivator for readers of diverse mathematical backgrounds, this book explores mathematics within the context of real life using understandable, realistic applications consistent with the abilities of any reader. Graphing techniques are emphasized, including a thorough discussion of polynomial, rational, exponential, and logarithmic functions and conics. Includes Case Studies; New design that utilizes multiple colors to enhance accessibility; Multiple source applications; Numerous graduated examples and exercises; Discussion, writing, and research problems; Important formulas, theorems, definitions, and objectives; and more. For anyone interested in trigonometry.
"The Sullivan Enhanced with Graphing Utilities" series fully integrates the graphing calculator. These widely adopted books are known for their precise careful presentation of mathematics. This precision permeates the book and is particularly evident in the examples, pedagogy and exercises. This book includes coverage of trigonometric functions and their applications, analytic trigonometry, polar coordinates and vectors, and exponential and logarithmic functions. For anyone who needs to brush up on everyday or business-related mathematics.
This textbook helps students build the knowledge and skills they need to be successful in trigonometry. It contains a number of theorems, definitions, procedures, and equations. The lessons include Graphs and Functions, Trigonometric Functions, Analytic Trigonometry, Applications of Trigonometric Functions, Polar Coordinates Vectors, Analytic Geometry, Exponential and Logarithmic Functions, etc.
Mike Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. In the Ninth Edition, Trigonometry: A Unit Circle Approach has evolved to meet today's course needs, building on these hallmarks by integrating projects and other interactive learning tools for use in the classroom or online.
Copyright:
2012 | 677.169 | 1 |
MacAlester College, Minnesota
Amherst College, Massachusetts
MacAlester College, Minnesota
Paperback
Temporarily unavailable - available from October 2015
(Stock level updated: 17:00 GMT, 08 October 2015)
£31.99
This book contains the best problems selected from over 25 years of the Problem of the Week at Macalester College. This collection will give students, teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake regarding the first problem in the collection: Determine the direction of travel of a bicycle that has left its tracks in a patch of mud. The collection contains a variety of other unusual and interesting problems in geometry, algebra, combinatorics, and number theory. For example, if a pizza is sliced into eight 45-degree wedges meeting at a point other than the center of the pizza, and two people eat alternating wedges, will they get equal amounts of pizza? Or: Is an advertiser's claim that a certain unusual combination lock allows thousands of combinations justified? Complete solutions to the 191 problems are included with problem variations and topics for investigation.
• Full solutions are included
• Problems selected to be appealing and challenging, but not intimidating
• Particularly useful for teachers looking for ways to stimulate interest in mathematics | 677.169 | 1 |
OU Calculus I Problem Archive to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material The OU Calculus I Problem Archive
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Free tutorials and problems on solving trigonometric equations, trigonometric identities and formulas can also be found. Java...
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Free tutorials and problems on solving trigonometric equations, trigonometric identities and formulas can also be found. Java applets are used to explore, interactively, important topics in trigonometry such as graphs of the 6 trigonometric functions, inverse trigonometric functions, unit circle, angle and sine lawigonometry Tutorials to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material TrigonometryThis section of a broader work, gives students a series of tutorial exercises in matrix multiplication. Topics include...
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This section of a broader work, gives students a series of tutorial exercises in matrix multiplication. Topics include matrix multiplication, vector multiplication, and the identity matrix. This page presents students with question that the enter answers to. Students are given feedback based on there entry:Matrix Multiplication to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material Visual MathThis site includes more than 40 tutorials in Intermediate Algebra topics with practice tests and answer keys. The site is...
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This site includes more than 40 tutorials in Intermediate Algebra topics with practice tests and answer keys. The site is designed to assist the user in preparing for math placement tests and the math portion of the GRE & M Virtual Math Lab / Intermediate Algebra Tutorial to your Bookmark Collection or Course ePortfolio
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This site contains tutorial lessons for College Algebra, Intermediate Algebra, Beginning Algebra, and Math for the Sciences....
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This site contains tutorial lessons for College Algebra, Intermediate Algebra, Beginning Algebra, and Math for the Sciences. Each lesson contains explanations, examples, and videos. There are also practice problems with complete Texas A&M University Virtual Math Lab to your Bookmark Collection or Course ePortfolio
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There is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book primarily addresses engineering students with some... more...
The fun and easy way to learn pre-calculus Getting ready for calculus but still feel a bit confused? Have no fear. Pre-Calculus For Dummies is an un-intimidating, hands-on guide that walks you through all the essential topics, from absolute value and quadratic equations to logarithms and exponential functions to trig identities and matrix operations.... more...
This book describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of pde and more. more...
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... more...
About the Book: The book is written is in easy-to-read style with corresponding examples. The main aim of this book is to precisely explain the fundamentals of Tensors and their applications to Mechanics, Elasticity, Theory of Relativity, Electromagnetic, Riemannian Geometry and many other disciplines of science and engineering, in a lucid manner.... more... | 677.169 | 1 |
Projects
Undergraduate Research Projects - The Anamorphic Art Project
Anamorphic art is the process of image distortion so that when viewing the distorted
image from a specific vantage point or through a lens or curved mirror the image appears
normally. Students working in this area have produced formulas and algorithms for
viewing images in mirrored cylinders, spheres, and general convex level surfaces.
This is another area in which you can either concentrate on just the mathematics or
do software development or both. Along the mathematical side you can work on
generalizing previous results, examine other types of Anamorphic Art, such as
vantage point and lens, or go into the study of optical illusions. This project
would also be good for secondary education majors and can provide numerous enrichment
activities that can keep the student's attention as well as show them some of the nifty
things that mathematics can do.
Background Needed for Mathematical Research
Vector Calculus and analytic geometry.
Background Needed for Program Development
Any programming language that has support for graphics applications
and graphical user interfaces. Such as Java and Swing or C++ and Qt.
Knowing how to implement graphics in the chosen language. For example, Java 2D,
JOGL and/or OpenGL.
Mathematical Research Possibilities
Extending the results and algorithms to parametrically defined surfaces.
Vantage point explorations.
Manipulating the surface the image is painted on.
Explore the mathematics behind optical illusions.
Develop middle and high school explorations on the mathematics behind
anamorphic art and/or optical illusions.
Further Program Development
Develop programs for producing the distorted images for vantage point
anamorphic art.
Develop programs for producing the distorted images for reflection
anamorphic art off of polyhedron, level surfaces and parametrically defined surfaces.
Develop POV-Ray scripts to emulate the reflection when using surfaces that
are difficult to physically model. | 677.169 | 1 |
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