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Beginning Algebra (Gustafson/ Karr/ Massey)
9780495831419
ISBN:
0495831417
Edition: 9 Pub Date: 2010 Publisher: Brooks Cole
Summary: Gustafson, R. David is the author of Beginning Algebra (Gustafson/ Karr/ Massey), published 2010 under ISBN 9780495831419 and 0495831417. One hundred thirty Beginning Algebra (Gustafson/ Karr/ Massey) textbooks are available for sale on ValoreBooks.com, fifty five used from the cheapest price of $5.07, or buy new starting at $81This book was very useful except for the teaching technique of my instructor. Math isn't my strong point. This book gives great examples that guides you to understanding. I do recommend this book.
This book gives great examples and also gives answers in the back to reference to. This does not mean to misuse this information because I am certain your instructor will want work show for the answers. | 677.169 | 1 |
Course Description
Math 210 is the third and the final part of our standard three-semester calculus sequence.
The distinct feature of this part of the course is its focus on the multi-dimensional analysis,
as opposed to one-dimensional analysis that you learned in Math 180 (Calculus I) and
Math 181 (Calculus II). This semester you will get familiar with such important concepts
as a vector, a vector field, a function of several variables, partial derivative, a line-integral
and multi-variable integrals. You will see that these concepts, as scary as they may sound,
are actually a natural generalization of the things you already know from calc I and II.
This is how the tree of mathematics is built - going from simple to more complicated. The
ideas of the vector calculus apply to numerous areas of human knowledge such as engineering,
physics, pure mathematics, biology, and many others. Some of them we will see in the course,
some will surface later in your future special courses, yet some may wait until you become
a professional.
Students enter Math 210 from a variety of backgrounds: many of you have taken Calculus
I and II at UIC, some have transferred from other schools, or were placed directly into
Calculus III following your calculus studies in other schools. Regardless of your
background coming in, our goal is to provide instructorship and all the resources
necessary for every one of you succeed, and enjoy yourselves as much as possible
in the process! In spite of this, you may find vector calculus very challenging.
Like in Math 180 and 181 your success in Math 210 requires a lot of hard work,
hours of study and problem solving, and your active involvement in learning,
both in and outside of the classroom. Our course is designed with the aim of
helping you stay constantly connected with the course and the material, and within
easy reach of some of your best resources: your instructor, your teaching assistants,
and your colleagues!
Textbook
Calculus, Early Transcendentals, by W. Briggs and L. Cochran, second edition. We will only go through Chapters 11-14. This textbook has been in our use
since 2011. Your instructor is not required to follow the text line-by-line or to use the
same problems, so please take notes in class and use them as your primary source.
Course Structure
The class involves three hours of lectures on MWF, and one hour on T or Th of
problem solving session. Please see your class schedule for specific time
and classroom. In addition, your instructor and TA will be available during their office hours.
They can be found in Sections.
Prerequisites
Grade of C or better in MATH 181. The prerequisite is enforced throughout all
sections of the course without exceptions. Students that have not met the prerequisite
will not be allowed to take the course.
Double integral as a volume, over rectangles, more general regions, in polar coordinates; changing the order of integration, volumes of regions between 2 surfaces, area of a plane region using double integrals.
10
13.3; Review, 2nd Midterm on 12.4 - 13.3; 13.4
Review on Wednesday, 2nd Midterm on Thursday; on Friday we start triple integrals, volumes and masses of solids.
Green's Theorem in circulation and flux forms, finding areas using GT, proof of GT for rectangles*, Div and Curl in 3D.
14
14.6, 14.7, Thanksgiving
Surface integrals of scalar functions, surface area elements in spherical, cylindrical, and graph cases; Flux of a vector field through a surface, physical examples; Stokes' Theorem started.
15
14.7, 14.8, Review for the final
Stokes' and Divergence Theorems as 3D analogues to 2D Green's Theorems in circulation and flux forms, respectively; Review for the final exam.
16
Final Exam
Cumulative Final on all covered sections will be given on the date to be announced.
A topic marked by * may be covered briefly for one or more of the following reasons: it is similar to another one
covered previously; it is of less importance for future development of the course material; it is relatively simple and
may be given as a reading assignment; it is too advanced at the first reading. Please follow instructions in your class
pertaining to these topics.
COURSE POLICIES
Proficiency Test
Given the variety of students taking the course, it is important to ensure that every one of you has the necessary mathematical
background which allows you to fully focus on the wealth of new material which you must learn in Math 210. That is why your
instructor will administer a 50-minute proficiency test on Wednesday of the first week of classes. This test will consist
of up to ten problems based on topics from basic algebra to the material of Math 180 and Math 181 which is needed for Math 210.
It will be graded based on a simple Satisfactory/Unsatisfactory system. The results of the proficiency test will not effect or in
any way be counted towards your final grade for the course. The grade of U means that your current skills may not be sufficient
to continue in Math 210 without substantial difficulties and danger to fail the course, unless you take steps to improve. Since
the test is intended for your own evaluation, you are not required to do anything in case of a U grade. However, you are encouraged to talk to your
instructor/advisor to discuss possible options. Those may include (re)taking Math 181, enrolling in additional ESP-sections,
using Math Learning Center, seeking tutoring help, etc.
All these options are subject to availability.
Attendance
As explained in the course description, your active involvement in learning is essential in order to successfully complete the course!
A basic requirement of the course is therefore a serious commitment on your part to attend both the lectures and the problem sections.
Attendance in the course will be taken as follows.
In lectures: Attendance will be taken at the beginning of randomly chosen lectures, by means of an attendance sheet listing all
the students registered in the class. The sheet will be circulated in the classroom, and every student present will be required
to sign the rubric corresponding to her or his name. The attendance sheet will be returned to the instructor 15 minutes after the
beginning of class. In addition, a minimum of 14 short quizzes will be given during the semester. The quizzes will be unannounced,
and given at the end of a lecture on randomly chosen days. On the day of a quiz, submitted quiz sheets will be used for attendance check.
Submission of a quiz sheet on behalf of another student or signing the rubric under the name of another student on any attendance sheet
will be considered a serious violation of course policies. On a first such occurrence, the student will be called to meet with the
instructor, and a warning will be issued, while a second such occurrence will lead to a grade of F for the course.
It is mandatory to attend at least 80% of lectures. Failure to do so without official excuse will lead to a grade of F for the course.
In problem sessions: The TAs will take attendance in each problem session. 80% attendance is mandatory, and failure to achieve this
without official excuse will lead to a grade of F for the course.
Excused Absence Policy: In order to be excused from attendance, students must inform the instructor and/or TA (as appropriate) in
advance (except in cases of emergency), and must provide documentation (for example, a letter from a doctor).
Methods of evaluation and grading policies
Your final grade in Math 210 will be determined by the number of points you earn on the following scale:
Points X
Grade
X => 83
A
65 <= X < 83
B
50 <= X < 65
C
35 <= X < 50
D
X < 35
F
There will be no curve for the final grade. You can earn points as follows:
Up to 20
Midterm 1
Up to 20
Midterm 2
Up to 30
Final exam
Up to 20
Homework
Up to 5
Quizzes
Up to 5
Attendance and participation
Midterm grades: Although it is not MSCS policy to assign midterm grades to 200-level courses we will do our best to ensure
that you receive a feedback of your performance before October 30th. The midterm grades will follow the same cut-offs
as for the final course grades, but with the following contributions:
Quizzes, homework, exams
Quizzes: The quizzes will be given during your regular lecture time on randomly chosen days. They will typically consist of one or
two questions bases on recent material with the purpose of keeping you involved and active in the lectures and letting you know
if you are following the concepts. Grading scheme of a quiz is based on 0, 1, 2 points for each problem. It will be graded by
the instructor, and returned in lecture or your problem session. There will be no make-up
quizzes given, but only the highest 80% of quiz grades will be considered when computing the points corresponding to the
quizzes on the final grade. Remember that quizzes will also be used for your attendance check.
Homework: Homework for the course is assigned every week by the course coordinator, and is the same for all sections.
Assignments will be posted on Blackboard, and on this page under Homework link.
You are very strongly encouraged to work together with a group of colleagues on the homework problems, but you must write
up the solutions by yourself! The homework will be due on the days announced by your instructor. One or two problems chosen at random from
each homework will be graded by the TAs. It is very important to note that the solutions to the problems will be graded in full,
and just an answer will not earn any credit. You should pay a lot of attention to the comments made by your TA in each graded
homework, since the midterms and the final exam will be graded in a very similar way.
Shortly after the due date solution keys will be posted as well. In addition to the mandatory assignments, optional sets of problems
can be found under Homework link. The same list will be available for use in you MyMathLab account. These problems are
designed to build your basic problem solving skills and solidify understanding of the core course material. We recommend that
you do them before taking on the more involved required problems. Late homework can be submitted only with a written
excuse document, for example a note from doctor, and no homework will be accepted more than 2 days after the deadline. One worst homework score will be dropped at the
end of the semester.
Exams: Two midterms will be given on Thursdays of weeks 6 and 10 of the semester, and one final on the week following
the last week of classes. Midterm 1 will include Sections 11.1 - 11.8 and 12.1 - 12.3, Midterm 2 will include 12.4 - 13.3. The final exam is cumulative
and includes material from the entire course. Updates on time schedules, room assignments and preparation materials can be found here.
Make-ups can be given to students that comply with the Excused Absence Policy above for the day of the exam. Schedule of make-ups will be announced
at least one week before the corresponding exam.
Calculators
The use of any electronic devices with computing capabilities is prohibited during exams and quizzes.
Academic Integrity Policy
As an academic community, UIC is committed to providing an environment in which research, learning, and scholarship
can flourish and in which all endeavors are guided by academic and professional integrity. All members of the campus
community - students, staff, faculty, and administrators - share the responsibility of insuring that these standards are
upheld so that such an environment exists. Instances of academic misconduct by students will be handled pursuant to the
Student Disciplinary Policy:
Academic Deadlines
Current academic calendar and the list of deadlines can be found here.
Disability Policy
The University of Illinois at Chicago is committed to maintaining a barrier-free environment so that students with
disabilities can fully access programs, courses, services, and activities at UIC. Students with disabilities who require
accommodations for access to and/or participation in this course are welcome, but must be registered with the
Disability Resource Center (DRC). You may contact DRC at 312-413-2183 (v) or 312-413-0123 (TTY) and consult the following:
Religious Holidays
Students who wish to observe their religious holidays shall notify the faculty member by the tenth day of the semester
of the date when they will be absent unless the religious holiday is observed on or before the tenth day of the semester.
In such cases, the student shall notify the faculty member at least five days in advance of the date when he/she will be absent.
The faculty member shall make every reasonable effort to honor the request, not penalize the student for missing the class,
and if an examination or project is due during the absence, give the student an exam or assignment equivalent to the one
completed by those students in attendance. If the student feels aggrieved, he/she may request remedy through the campus
grievance procedure.
Grievance Procedures
UIC is committed to the most fundamental principles of academic freedom, equality of opportunity, and human dignity
involving students and employees. Freedom from discrimination is a foundation for all decision making at UIC.
Students are encouraged to study the University's "Nondiscrimination Statement". Students are also urged to read the
document "Public Formal Grievance Procedures". Information on these policies and procedures is available on the University
web pages of the Office of Access and Equity: | 677.169 | 1 |
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MTH 525 Algebra, K-5
Description
This course focuses on developing algebraic thinking, which includes studying patterns and functions, understanding the structure of the number system, using symbolism meaningfully and using mathematical modeling to solve problems. Participants study many common misconceptions about the learning of algebra to better understand the potential gaps in students' understanding.
COURSE OUTCOMES
Participants will be able to:
• Deepen understanding of patterns, functions and algebraic symbols
• Analyze repeating and growing patterns and represent these patterns in words, pictures and numbers | 677.169 | 1 |
Product Overview
This book teaches introductory computer programming using Maple, offering more mathematically oriented exercises and problems than those found in traditional programming courses, while reinforcing and applying concepts and techniques of calculus. Includes case studies, and a CD-ROM containing electronic versions of all the examples in the text with additional discussion, related material, and optional exercises.
Specifications
Physical
Dimensions
(in Inches) 9.25H x 7.25L x 1.25T
From the Publisher
Editors Note
This book is designed to teach introductory computer programming using Maple. It aims to infuse more mathematically oriented programming exercises and problems than those found in traditional programming courses while reinforcing and applying concepts and techniques of calculus. All the important, basic elements of computer programming can be easily learned within the interactive and user friendly environment of a Computer Algebra System (CAS) such as Maple. Most chapters feature case studies that provide greater depth on some topics and also serve to illustrate the methodology of analysis and design of code for more complex problems. This book is directed at undergraduates in the fields of math, science, or secondary education. The CD-ROM that accompanies the book contains the electronic versions of all the examples in the text with additional discussion, related material, and optional exercises.
Product Attributes
Book Format
Hardcover
Number of Pages
0412
Publisher
Springer
More Buying Options
$31.27 + $3.99 shipping
Condition: Brand New In Stock The Book is Available in Brand New Condition. Fast and Secure shipping. Great customer support service. Shop with confidence!
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The sitcom, "The Simpsons" "contains over a hundred instances of mathematics ranging from arithmetic to geometry to calculus,...
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The sitcom, "The Simpsons" "contains over a hundred instances of mathematics ranging from arithmetic to geometry to calculus, many designed to expose and poke fun at innumeracy." This site offers several "ways to introduce important concepts to students, and to reduce math anxiety and motivate students in courses for non-majors Simpsons Math to your Bookmark Collection or Course ePortfolio
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Atomic Learning, an award-winning provider of affordable web-based software training and tutorials, has expanded its...
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Atomic Learning, an award-winning provider of affordable web-based software training and tutorials, has expanded its offerings to include tutorials for the TI-84 Plus family of graphing calculators. These quick, web-based tutorials answer students and educators most common questions on the TI-84 Plus, covering subjects such as graphing basics, working with lists, manipulating data, saving and transferring data, and troubleshooting. Twenty free tutorials are available on the Atomic Learning website, plus Atomic Learning subscribers also have access to more movies for additional help with the TI-84 Plus family of calculators Parabolas (JavaSketchpad) to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Exploring Parabolas (JavaSketchpad)
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Biographies of mathematicians who were born or died on this day are given. Links to those for the previous and next days, as...
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Biographies of mathematicians who were born or died on this day are given. Links to those for the previous and next days, as well as the entire year are also given. Printable posters of the mathematicians and quotes are given sometimes val Mathematicians Who Were Born or Died On This Day to your Bookmark Collection or Course ePortfolio
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This course includes lecture notes, assignments, problems for group work in recitation, and a full set of lecture videos....
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This course includes lecture notes, assignments, problems for group work in recitation, and a full set of lecture videos. These video lectures of Professor Arthur Mattuck teaching 18.03 were recorded live in the Spring 2003. Professor Mattuck has inspired and informed generations of MIT students with his engaging lecturCourseWare -- Differential Equations to your Bookmark Collection or Course ePortfolio
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This archive is designed as a resource for enriching your courses with mathematical Fun Facts! It is designed to pique the...
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This archive is designed as a resource for enriching your courses with mathematical Fun Facts! It is designed to pique the interest of students in different areas of mathematics. The fun facts were originally conceived as five minute warm ups at the beginning of lectures so that non mathematics majors would not think math was just calculus. Presentation suggestions are also givenudd Math Fun Facts to your Bookmark Collection or Course ePortfolio
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Learn how to create a full-length, interactive math lesson with a glossary, equations, illustrative charts and graphs, and a section that tests your students on what they've learned. This course builds on the lessons in iBooks Author for Teachers: Fundamentals and shows teachers how to leverage their existing math material and present it in an engaging digital way. Author Mike Rankin shows you how to import text from Microsoft Word, format your pages, add images and hyperlinks, and even add a useful calculator widget so students can perform calculations right inside the lesson.
Welcome
(music playing)I'm Mike Rankin and welcome to iBooks Author for Teachers: Creating a Math LessonIn this course, we'll be using iBooks Author to create a great-looking mathlesson with interactive content for students with iPads.I'll show how to bring in content for Microsoft Word including math equations,and we'll be adding interactivity in the form of sidebar glossary items, pop-oversto reveal answers, plus a calculator, and a review quiz.
So, let's get started right now, with iBooks Author for Teachers: Creating aMath Lesson.
There are currently no FAQs about iBooks Author for Teachers: Creating a Math Lesson | 677.169 | 1 |
*C)- ACCEPTABLE CONDITION - MODERATE SHELF WEAR, COVER / PAGE / SPINE CREASES SOMEWHAT NOTICEABLE. SOME BENT CORNERS OF PAGES. SOME STAINING / BLEMISHES PRESENT. SOME HIGHLIGHTING PRESENT. PREVIOUS OWNER'S NAME INSIDE FRONT COVER. B2-315This text, extensively class-tested over a decade at UC Berkeley and UC San Diego, explains the fundamentals of algorithms in a story line that makes the material enjoyable and easy to digest. Emphasis is placed on understanding the crisp mathematical idea behind each algorithm, in a manner that is intuitive and rigorous without being unduly formal.
Features include: The use of boxes to strengthen the narrative: pieces that provide historical context, descriptions of how the algorithms are used in practice, and excursions for the mathematically sophisticated.
Carefully chosen advanced topics that can be skipped in a standard one-semester course, but can be covered in an advanced algorithms course or in a more leisurely two-semester sequence.
An accessible treatment of linear programming introduces students to one of the greatest achievements in algorithms. An optional chapter on the quantum algorithm for factoring provides a unique peephole into this exciting topic. In addition to the text, DasGupta also offers a Solutions Manual, which is available on the Online Learning Center.
"Algorithms is an outstanding undergraduate text, equally informed by the historical roots and contemporary applications of its subject. Like a captivating novel, it is a joy to read." Tim Roughgarden Stanford UniversityThe website says "draft" but it's the same or better (errata corrected) than the print version. (I accidentally bought the print version even though I knew about the PDF. At least I was able to resell it for [...])
I used this book for CSE 101 Design and Analysis of Algorithms at UCSD. It's OK, but the level of detail of algorithms was too low for me to use just this book. I sometimes had to reference Wikipedia and other publications to achieve complete understanding.
One of the most appealing characteristics of this book is the small size. Textbooks in algorithms are similar to those of other fields in that they have continued to increase in girth over the years. At 320 pages, this book is a relative midget. However, that does not in any way mean that it is weak in content, there is plenty of material for a one-semester course in algorithms. The chapters are:
*) Prologue - a bit of history and the big-O notation *) Algorithms with numbers - basic and modular arithmetic, primality testing and cryptography *) Divide-and-conquer algorithms - multiplication, recurrence relations, mergesort, matrix multiplication and the Fast Fourier Transform (FFT). *) Decomposition of graphs - the fundamental definition of directed and undirected graphs and performing depth-first searches. *) Paths in graphs- basic algorithms used in graph searches *) Greedy algorithms - some fundamental greedy algorithms and their basic level of performance *) Dynamic programming - shortest paths, knapsack optimization and independent sets in trees *) Linear programming and reductions - the definition of linear programming and some of the standard problems that it can be used to solve *) NP-complete problems - definition of NP-complete, some examples and reduction strategies used to show NP equivalence *) Coping with NP-completeness - intelligent search, approximation and random algorithms *) Quantum algorithms - a brief foray into a possible revolution in computing. Explanations of how data may be stored and processed at the quantum level.
The explanations are brief yet thorough enough for advanced computer science students, the algorithms are presented in a generic pseudocode.Read more ›
I occasionally teach algorithms at CU Boulder to our undergraduates. This book accomplishes what it set out to do: provide a comprehensible (but not comprehensive) treatment of a core piece of Computer Science at an affordable cost.
That we get one of the greatest researchers in the area (Papadimitriou) alongside two other distinguished authors is just icing on the cake.
The first printing had numerous errors, though the online version of the book had already corrected many of them. I haven't used the book since then, but will in the Fall, and I'd expect with the vigor already invested by the authors, the book will be in even better shape.
As a CS undergrad at UC San Diego, the author used rough drafts of this book to teach the algorithms course I took as a student. Although we also used the Cormen("The Bible") Algorithms book for casual reference, this text is by far better to explain the concepts behind the algorithms. I must say that the author presents the course with this text far clearer and superior than the usual dry mathematicians and the contents of the material reflects his expertise in lecturing and writing. The lucid writing makes it a joy to actually read an algorithms book, and the exercises are definitely worth investigating. This book simply makes algorithms fun!
Algorithms is a complex topic in computing that needs tentative learning. The authors of this book really succeeded in making learning algorithms more enjoying, interesting, and easy yet comprehensive and advanced. This is a difficult equation, but this book really achieves it. It takes you from the early foundation with the Fibonacci algorithm till the complex graph algorithms while explaining each milestone all over the way. The was they present this subject is in a story manner or a casual discussion between two computing professionals which makes the book interactive, easy to access, and comprehensive. I recommend this book for both beginner and advanced readers in the field of computing. | 677.169 | 1 |
Web Resources
Interactives/Games
Title: Epsilon-Delta Game (Limit of a Function)
Description:Standard(s): [MA2015] PRE (9-12) 4: Determine numerically, algebraically, and graphically the limits of functions at specific values and at infinity. (Alabama)
Epsilon-Delta Game (Limit of a Function)
Title: Limit Simulator
Description:
This is an interactive tool which simulates the limit of a function.
Standard(s): [MA2015] PRE (9-12) 4: Determine numerically, algebraically, and graphically the limits of functions at specific values and at infinity. (Alabama) | 677.169 | 1 |
Abandoning Algebra Is Not the Answer
In an opinion piece for the New York Times on Sunday, political science professor Andrew Hacker asks, "Is Algebra Necessary?" and answers, "No." It's not just algebra: geometry and calculus are on the chopping block, too. It's not that he doesn't think math is important; he wants the traditional sequence to be replaced by a general "quantitative skills" class, and perhaps some statistics.
There are so many problems with Hacker's essay that it's hard to know where to start. Hacker's first main point is that math is difficult, and the poor grades that result prevent too many people from graduating high school or college. His second is that the math we learn is not the math we need in our jobs.
Math certainly is incomprehensible to many students, but from where I sit, poor teaching is often the reason. Math education is failing many of our students. Few pre-college math teachers majored or even minored in math, and until more teachers do, improvements will be hard to come by. Ironically, it seems that people who have mastered "useless" algebra and other higher math topics tend to get jobs that pay more than middle school math teachers earn. I have the utmost respect for people with math degrees who choose to teach in spite of the poor pay and discipline problems, but few people make that choice. Math education needs help, but Hacker's suggestions throw out the baby with the bathwater.
What is algebra anyway? It's a huge subject, but at its heart, it's about relationships. How does a change in one quantity affect another quantity when they are related in a certain way? Hacker suggests that we need arithmetic but don't need algebra. But it's really difficult to separate these two skills. Algebra and geometry, another subject Hacker could do without, help develop logical skills and abstract reasoning so we can understand why we are making less money than before if we get a 20 percent pay cut followed by a 20 percent raise (or a 20 percent raise followed by a 20 percent pay cut—hello, commutative law of multiplication!) or how much merchandise we can purchase if we have $100 and a 25 percent off coupon.
Hacker is probably right that very few people use high-level math directly in their work. My work never requires me to know anything about the themes of "The Old Man and the Sea," but my life would not be as rich if I had never been exposed to great literature and the challenge of analyzing and understanding it, as difficult as it was, and still is, for me. When I was in high school, I didn't (and couldn't) know whether my future job would require math, chemistry, writing or music. If I had stopped taking every subject that I probably wouldn't use in my career, I don't know what classes would have been left.
Hacker says that math is required in many professions "just to look rigorous," as "a hoop, a badge, a totem to impress outsiders and elevate a profession's status." But what if it's not just because it sounds good? What if medical schools know that calculus is not needed in a doctor's day-to-day practice, but that the skills she learns when taking it, including perseverance in the face of a difficult subject, make her better at understanding and responding to the flood of information she encounters in her work?
Mathematicians are recruited by hedge funds, consulting firms, and technology companies not because they already know how to balance portfolios, what the best corporate strategies are, or how to optimize user interfaces, but because their mathematics degrees indicate experience and acuity at problem solving. It's easier for companies to teach someone with a strong mathematics background how to do their specific work than to teach someone who knows the company business how to solve problems. And, like it or not, algebra is one of the first places students start to learn these problem solving skills.
Hacker acknowledges that math is important. It underlies technology and science that we use every day, and there is and will continue to be a need for mathematically able people in lots of professions. Eliminating abstract math education in the early school years, or allowing young students to opt out of rigorous math classes, will only serve to increase the disparity between those who "get it" and those who don't. Those who have a grasp of mathematics will have many career paths open to them that will be closed to those who have avoided it.
Math education needs to improve, but if illiteracy were on the rise, I don't think we'd be talking about eliminating reading from the curriculum.
Evelyn Lamb is a postdoc at the University of Utah. She writes about mathematics and other cool stuff.
Follow on Twitter @@evelynjlamb | 677.169 | 1 |
This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects. The goal is for readers to refine their mathematical sense of how to find good questions and how to grapple with these problems. The term "intuitive geometry" was coined by Lászlo Fejes Tóth to refer to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street."
12月出版予定
ISBN :
9783662484203
著者 :
Derksen, H. Kemper, G.
書名 :
Computational Invariant Theory. 2nd ed Hard
シリーズ :
Encyclopaedia of Mathematical Sciences. Vol. 130
出版社 :
Springer
本体価格 :
24,470円
税込み価格 :
26,427円
未刊本
コメント :
CONTENTS: Constructive Ideal Theory - Invariant Theory - Invariant Theory of Finite Groups - Invariant Theory of Reductive Groups - Applications of Invariant Theory - Linear Algebraic Groups - Is one of the two Orbits in the Closure of the Other? by V.L.Popov - Stratification of the Nullcone by V.L.Popov
12月出版予定 | 677.169 | 1 |
Course Descriptions
This course concentrates on the application and analysis of algebraic problems as they occur in a variety of disciplines. Topics include linear, quadratic, exponential and logarithmic functions and models and an introduction to regression analysis. Other topics include solution of equations and inequalities, sequences and matrices. Methods of proof such as algebraic derivation as well as the use of counterexamples to disprove mathematical statements are explored.
PR: Eligible to enroll in 100-level math course | 677.169 | 1 |
handyCalc Calculator
handyCalc is a powerful calculator with automatic suggestion and solving which makes it easier to learn and use.With almost all the features you can imagine on a calculator, waiting for you to explore.* currency convert, unit convert, graph, solve equations | 677.169 | 1 |
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Highlights of Calculus is a series of videos that introduce the fundamental concepts of calculus to both high school and college students. Renowned mathematics professor, Gilbert Strang, will guide students through a number of calculus topics to help them understand why calculus is relevant and important to understand. View the complete course at: License: Creative Commons BY-NC-SA More information at More courses at... favoritefavoritefavoritefavoritefavorite ( 1 reviews ) Topics: Gilbert Strang, Calculus, Highlights, Fundamentals | 677.169 | 1 |
Online Resources
The links below have been selected by Learning Support Services staff as resources to support student learning. Let us know if you find a web link you think belongs here, and please let us know if you find a link that is broken.
Mathway Great website with a whiteboard where you can enter a math problem (select any math topic from basic math to calculus), and it displays the math format as well as the answer to the problem. Math links include example problems, worksheets, and tutorials.
Wolfram Demonstrations Project: Interactive Visualizations An expanding collection of freely available, interactive demonstrations in math, science, and many other areas at all levels from elementary education to the frontiers of research. Examples: 3D Waves, Inside the Rhombic Hexecontahedron, Surface Morphing, Tangent Lines to a Parabola, and many more…
Study Skills Links
University of Saint Thomas's webpage for students that may need help with time management, test taking, reading, note taking, citations, writing research papers, ESL and many more study skills support links | 677.169 | 1 |
Competitive exams, whether they are conducted to select candidates for jobs, or for admission to post graduate and doctorate courses, test the numerical aptitude of the person taking the exam. These exams test a candidate's knowledge and skill in basic arithmetic, algebra, geometry etc. They also test the Quantitative Aptitude skills of the candidate. This book is divided into two sections. The first part covers arithmetical ability. The second part covers Data Interpretation. The first part begins by taking a look at Numbers, Average, Percentage, Decimal Fractions, H.C.F. and L.C.M., Square Roots and Cube Roots.
Quantitative Aptitude For Competitive Examinations also covers Problems on Numbers and Ages, Simplification, Alligations, and Logarithms. Other topics discussed include Surds and Indices, Pipes and Cistern, Chain Rule, Boats and Streams, Simple and Compound Interests, Time and Work, Partnership, Problems on Trains, and Volume and Surface Area. This text also goes into Stocks and Shares, True Discount and Banker's Discount, Games of Skill, Races, Permutations and Combination, Series, Odd Man Out, Clocks, Heights and Distances, and Calendar. The Data Interpretation part covers Tabulation and various kinds of graphs like Bar, Pie and Line Graphs.
Quantitative Aptitude For Competitive Examinations covers every aspect of the numerical ability section of many competitive tests. Numerous examples have been used throughout the book to illustrate the concepts and problem solving techniques. This book gives the students or candidates a good idea about the kind of questions asked in these exams.
About R. S. Aggarwal
R. S. Aggarwal writes books for competitive exams. Some of the other books written by this author are Senior Secondary School Mathematics for Class-12, Mathematics for Class-8 (Paperback), Mathematics for MBA Entrance Examinations (Fully Solved), A Modern Approach To Logical Reasoning, and A Modern Approach To Verbal & Non-Verbal Reasoning.
R. S. Aggarwal has written numerous books for students in school and for competitive exams. These book are known for their simple and accessible style. He studied at the Kirori Mal College, Delhi. After finishing his Master's degree, he joined the Faculty of NAS College in Meerut. After completing his Doctorate from Delhi University, he became a Reader at NAS College. He opted for voluntary retirement in 2003. | 677.169 | 1 |
Saturday, July 23, 2005
Algebra Unplugged
Math quote for this weekend:
"Sometimes, the simple way to say something isn't perfectly accurate in all situations. Rather than be perfectly clear, books tend to be perfectly accurate, which is great, if you can just figure out what in the world their author is trying to say."--Algebra Unplugged, by Kenn Amdahl & Jim Loats, Ph.D.
Quick recommendation: buy this and read it BEFORE you start working through a big fat algebra I text. Mama Squirrel wishes this book had been around when she started high school math; it would have saved many hours of puzzlement. Amdahl and Loats give explanations like "In arithmetic, usually we started out with ingredients and tried to make cookies. In algebra, sometimes we start with the cookie and try to deduce the recipe. When we begin with the "product" and try to figure out the multiplication problem that led to it, we are engaging in "factoring."" Oh, so that's what it was about!
Buy or borrow this book. Trust Mama Squirrel, it will make life much easier for your math students--and their homesquirreling parents. | 677.169 | 1 |
Find a Sherborn CalculusMy books are second best." Hidden in O'Reilly's answer was a deeper point: the question has to come first. I remind myself regularly to hold back a little and wait for the next question. What to do when it comes is easy | 677.169 | 1 |
Math Review: Hauppauge
This workshop is specifically designed for those preparing for certification examinations (ASP, CSP, CHST,OHST) and needing a hands-on review of essential math skill areas. Tl-30X llS calculator included. | 677.169 | 1 |
Summary: Graph Theory Worksheet Math 105, Fall 2010 Page 1
Eulerizations and Trees
1. Find an Eulerization and a Semi-Eulerization for the following graphs:
(a)
(b)
(c)
(d)
(e)
Graph Theory Worksheet Math 105, Fall 2010 Page 2
2. (a) Draw a connected graph with 4 vertices and no circuits. How many edges does it
have?
(b) Draw a connected graph with 5 vertices and no circuits. How many edges does it
have?
(c) Draw a connected graph with 6 vertices and 5 edges. Does it have any circuits?
(d) Draw a connected graph with 7 vertices and 6 edges. Does it have any circuits?
Graph Theory Worksheet Math 105, Fall 2010 Page 3
A tree is a connected graph (network) with no circuits. Any tree with N vertices has
N - 1 edges, and any connected graph (network) with N vertices and N - 1 edges is
a tree!
A spanning tree of a network is a subgraph (graph within a graph) that connects all | 677.169 | 1 |
0763772062Thoroughly updated, the new Third Edition of Discrete Structures, Logic, and Computability introduces beginning computer science and computer engineering students to the fundamental techniques and ideas used by computer scientists today, focusing on topics from the fields of mathematics, logic, and computer science itself. Dr. Hein provides elementary introductions to those ideas and techniques that are necessary to understand and practice the art and science of computing. The text contains all the topics for discrete structures in the reports of the IEEE/ACM Joint Task Force on Computing Curricula for computer science programs and for computer engineering programs student and beginner at discrete math and all related to this book. The book fails to teach in plain English and requiers you to come back to read over and over again what you failed to understand the first, second and third time.
The problems in each section are increadibily higher skilled than the examples and almost impossible to get the right answers. Some problems are even leagues away of what the examples imply and you would have never guessed where the answers on the back of the book came from.
At Portland State, this book is used for beginning DS but it's a very unfortunate book to use, especially since the professor teaching it uses the same examples and notes based on the book to teach the subject in class. I actually went online and found Vladlen Koltun's lecture notes from Stanford University. He goes over the same subject matter, actually explains a good proof structure and the more basic assumptions being made, and frankly made a lot more sense. Only buy it if it's required.
This book can get you more lost than a first grader walking home from school. The exercise problems are terrible. It gives you the answers to all the easy problems and the hard problems which the chapters dont explain anything well will have you frustrated and confused. The chapters give you examples, but are not clear of how to work each example out. It just gives you the solution to the problem without giving an explanation. I have yet to find a solutions manual for this book. The book is not organized very well. If you have to have this book for a class, I suggest doing all the problems in each exercise, and the ones you cant figure out ask your teacher. I'm on my last two semesters in my CS degree and I have good programming skills, I would not recommend this book.
This book is required for two classes at Portland State. I honestly agree with a few reviewers here when they say it is better used as a door stop. The common chapter will briefly explain the subject matter, never in great detail. It includes graphs and pictures that most people won't understand, unless you sit and study it for longer than you should. Finally, the reader is then expected to complete exercises that are far more complex than anything the book has shown, most of which the book hasn't even taught or even mentioned.
Unless you are required to take this book, my opinion is to find a completely different book. One where the subject matter is actually taught, not simply briefly explained.
Also, as to the teacher here calling people average for not understanding this book... You're a douche.
I'm required to use this book as I go to Portland State University where Hein taught for a while. The examples are helpful, but often I find the formal definitions hard to follow. I'm not the only one who has mentioned this about the book in my classes...we use it for 3 quarters.
Obviously this is a required book for most so a rating does little help in deciding if you should get this or not. But at least don't pay full price for this book, rent it or buy used and get rid of it.
The examples and overall wording of the book is horrible. It is for entry level classes in this area and the reading is now where near that level. The content is hardly skimmed over and examples and exercises leave you confused on where the answers even came from. Most examples skip from problem to solution with no middle steps and variables/symbols that appear from nowhere.
It has been said that a teacher who has mastered teaching can teach any concept so that a child can understand it. From the ground up this book is written in a complex manner. When I you tube some of the topics I find that the seemingly complex ideas that are covered are really quite simple. This book needlessly complicates most topics. Expect to read the same sentences over and over again and still wonder what exactly is being said.
I love this book. However, services provided by Amazon are not good They said Amazon prime membership is free for 6 months for students. but $1 is deducted from my account for this membership. They were showing the discount of $10 with Prime membership card and when i purchased this book i did not get any discount neither i have received any card yet. Even i was not able to register and it was prompting me for SSN(which i don't have). i contacted Amazon more than 3 times for these issues and nobody was able to help me. They even criticized me for not having SSN. Customer service representative asked me to get the SSN. I said that i am on student visa and can not work for next 1 year and can not get SSN for next 1 year. she said "that stinks". I have also worked in customer service industry for almost 3.5 years where i served US customers with their technical issues. that's not how you should treat customers over the phone. | 677.169 | 1 |
High School Pre-Algebra Tutor…
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Overview math topics. Valuable for students who are already studying algebra but are having difficulty with the basic concepts. The following topics are covered: integers, fractions, decimals, ratio sand proportions, percents, roots and exponents, algebraic equations, inequalities, word problems, plotting graphs, and geometry. Fully indexed for locating specific problems rapidly.
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HOW TO USE THIS BOOK It is the aim of this book to serve as a personal tutor to students by providing exceptionally detailed explanations for the kinds of problems that are typically found on exams. This book can be an invaluable aid to pre-algebra students as a supplement to their textbooks. The book is subdivided into 12 chapters, each dealing with a separate topic. The subject matter is developed systematically, beginning with Integers and Rational Numbers and extending through Fractions, Decimals, Ratio and Proportions, Percents, Roots and Exponents, Introductory Algebra, Solving Algebraic Equations, Inequalities, Word Problems, Plotting, and, finally, a chapter that discusses Geometry.
HOW TO LEARN AND UNDERSTAND A TOPIC THOROUGHLY 1. Refer to your class text and read the section pertaining to the topic. You should become acquainted with the principles discussed there. These principles, however, may not be immediately clear to you. 2. Then locate the topic you are looking for by referring to the Table of Contents in the front of this book. 3. Turn to the page on which the topic begins and review the problems under each topic, in the order given. For each topic, the problems are arranged in order of complexity, from the simplest to the most difficult. Some problems may appear similar to others, but each problem has been selected to illustrate a different point or solution method. To learn and understand a topic thoroughly and retain its contents, it will be necessary for students to review the problems several times. Repeated review is essential in order to gain experience in recognizing the principles that should be applied and in selecting the best solution technique.
HOW TO FIND A PARTICULAR PROBLEM To locate one or more problems related to particular subject matter, refer to the index. In using the index, be certain to note that the numbers given there refer to problem numbers, not to page numbers. This arrangement is intended to facilitate finding a problem more rapidly, since two or more problems may appear on a page. If a particular type of problem cannot be found readily, it is recommended that the student refer to the Table of Contents and then turn to the chapter which is applicable to the problem being sought. By scanning or glancing at the material that is boxed, it will be possible to find problems related to the one being sought, without consuming considerable time. After the problems have been located, the solutions can be reviewed and studied in detail. For the purpose of locating problems rapidly, you should acquaint yourself with the organization of the book as found in the Table of Contents. In preparing for an exam, first find the topics to be covered on the exam in the Table of Contents, then review the problems under those topics several times. This should equip you with information needed for the exam. | 677.169 | 1 |
Revisions, additions in UMKC curriculum aimed at making higher math education accessible to all
Alarms have been sounded by national math associations, leading U.S. educators, and even the president of the United States: vast improvement is needed in mathematical education if American students in college, high school, middle school and elementary school are to succeed in today's technologically complex world. At the University of Missouri-Kansas City a new and revamped curriculum is being introduced to do just that.
Seven new "Mathematics for Teachers" courses are being introduced beginning this year and next as a result of a unique collaboration between the University's College of Arts & Sciences and School of Education. What is especially beneficial to students is that the new class options combine math content knowledge with creative "methods" approaches designed to break down the "elitism" that many people feel traditionally shroud excellence in math.
"Elitism in math can't be tolerated. We need to teach math in a way that all can understand," said Rita Barger, assistant professor in the School of Education's division of curriculum instruction and instructional leadership. Barger has worked for many years to enhance math instruction for pre-service and in-service teachers. She was a member of an advisory board for research conducted by the University of Missouri-Columbia, funded by a grant from the National Science Foundation, called "Connecting Middle School and College Mathematics." This initiative produced redesigned math textbooks in algebra, geometry, calculus and probability/statistics (see atmizzou.missouri.edu/oct03/Math.htm). The textbooks are being used in the new "Mathematics for Teachers" courses at UMKC (see list below).
Leading the charge from the College of Arts and Sciences (which provides UMKC's undergraduate education) is Richard Delaware, associate clinical professor, department of mathematics and statistics. He says alarming reports released nationally and in Missouri were an impetus for the curriculum enhancement, but not the only one. UMKC's new Institute for Urban Education, training teachers uniquely skilled to teach in Kansas City's urban schools, was another.
"Research has shown that only 10 percent of Missouri's 10th graders test as proficient in math. In addition, urban teachers have been found to have lower math content knowledge than teachers in higher income districts," Delaware noted. Delaware initiated curriculum enhancement discussions with Barger as much as two years ago, and was named to the curriculum design team for the Institute for Urban Education, which was launched last July.
There is no mistaking that many efforts to enhance math education were under way on the UMKC campus long before President George Bush gave the topic special focus in his State of the Union address Jan. 31, 2006. "In that speech, he proposed the American Competitiveness Initiative to train 70,000 high school teachers to lead advanced-placement courses in math," said Delaware. (Please see
The new "Mathematical Courses for Teachers" UMKC is adding this year and next are:
Algebraic Structures, starting in 2007, for middle school teachers to include algebraic reasoning, deductive/inductive reasoning, algebraic systems, modeling in geometry and axiomatic mathematics.
Geometry, starting in 2007, for middle school teachers to connect middle school and college math through geometric reasoning, Euclidean geometry, congruence, area and volume, motion, symmetry, vectors, transformations and more.
Probability and Statistics, starting in 2006, for elementary and middle school teachers, to provide foundational knowledge of probabilities and statistics, elements of statistics, organizing, displaying and describing data, distributions, correlations, regression, prediction and estimation.
Calculus, starting in 2007, designed for middle school teachers focusing on concepts and applications with a discovery and inquiry approach, sequences and series, functions, limits, continuity, differentiation and integration and their applications.
Algebra and Analysis, beginning in 2006, for secondary school teachers to examine high school mathematics from a higher point of view, including real and complex numbers, functions, structures of equations, integers and polynomials, alternate approaches, extensions and applications of mathematical ideas and discussion and connection of ideas that may have been studied in separate courses, as well as relationships to ideas likely to be encountered in later study.
Geometry, starting in 2006, designed for secondary school teachers, including the geometry concepts described above, as well as alternate approaches, extensions and applications, historical concepts and relationship to ideas likely to be encountered in later study.
The efforts of UMKC's College of Arts and Sciences and School of Education are motivated by and in accordance with reports released by the National Council of Teachers of Mathematics (NCTM), the Mathematical Assn. of America (MAA) and the American Mathematical Society (AMS).
The collaboration between the College of Arts & Sciences and the School of Education is highly unusual among higher education institutions with separate departments or schools for undergraduate studies and teacher education programs, said Barger.
"Math wars between mathematicians and educators on the national level have existed for more than five years and, to some extent, still today," noted Barger. "That fact makes the collaboration occurring at UMKC even more remarkable. As a result, many people will benefit, teachers and students, and American society in general." | 677.169 | 1 |
Physical Mathematics
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Recently changed in this version
Change some design
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Description
Physical Mathematics is for simple physical and mathematical calculations.
It includes base number conversions, different shape volume calculations, base units measure conversion and a simple calculator to get personally check result, whether it's right or wrong.
1. Base Numbers
In this section we can enter eihter binary, decimal or hexadecimal numbers and can get instant results in other two base numbers.
Base numbers includes conversion for
▪Binary
▪Decimal
▪Hexadecimal
2. Unit Converter
Using unit converter we can get conversion for different measurement in different units. As you want to conversion for Fahrenheit to Celsius than using temperature in unit converter can get result.
Unit converter includes
▪Temperature
▪Weight
▪Length
▪Area
▪Volume
3. Volumes
Volumes is for to find volumes of some specific shapes of materials. It gives volumes calculation for cone, sphere, rectangle prism, square prism, ellipsoid and cylinder.
4. Simple calculator
A simple calculator is provided with this app. to get proof for results that you get using this application | 677.169 | 1 |
What is the difference between the arithmetic 3+5 = 5+3 and the algebraic a+b = b+c? One is a specific fact, another is a pattern valid in a multitude of situations. While arithmetic may hint at some regularities, algebra, as a language, gives expression to acknowledgement of patterns as such. How did people express general ideas before the advent of algebra in the 15th-17th centuries? A...
A comprehensive directory of computational geometry resources both on and off the Internet. General Resources, Literature, Research and Teaching, Events, Software, other links. Also found at
Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. Organized into the topics of sets and relations, infinity and induction, sequences of numbers, topology, continuity and differentiation, the integral (Riemann and Lebesgue), sequences of functions, and metric spaces. Features Java tools Function Plotter, Continuity Checker,...
A research site with papers to download, links to researchers, a newsletter, etc. Analysis of Algorithms (AofA) is a field in computer science whose overall goal is an understanding of the complexity of algorithms. While much research is devoted to worst-case evaluations, the focus in these pages is methods for average-case and probabilistic analysis. Properties of random strings, permutations,... | 677.169 | 1 |
Created by Lang Moore and David Smith for the Connected Curriculum Project, the purpose of this module is to investigate the definition of the double integral and to develop numerical methods for calculating double integrals. This is one within a much larger set of learning modules hosted by Duke University.
Created by Lang Moore and David Smith for the Connected Curriculum Project, the purpose of this module is to use iterated double integrals in polar coordinates to carry out complicated volume computations. This is one within a much larger set of learning modules hosted by Duke University.
Created by John Michel for the Connected Curriculum Project, this is a module to calculate numerical approximations to definite integrals by summing the areas of rectangles or trapezoids, to understand how these approximations improve as the number of areas is increased, and to deduce Simpson's Rule. This is one lesson within a much larger set of learning modules hosted by Duke University.
This course, presented by MIT and taught by Professor Alar Toomre, provides an introduction to numerical analysis. The material looks at the basic techniques for the efficient numerical solution of problems in science and engineering. Topics include root finding, interpolation, approximation of functions, integration, differential equations and direct and iterative methods in liner algebra.... | 677.169 | 1 |
GeoGebra is dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets,...
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GeoGebra is dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one easy-to-use package. GeoGebra is a rapidly expanding community of millions of users located in just about every country. GeoGebra has become the leading provider of dynamic mathematics software, supporting science, technology, engineering and mathematics (STEM) education and innovations in teaching and learningThe Probability/Statistics Object Library is a virtual library of objects for use by teachers and students of probability and...
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The Probability/Statistics Object Library is a virtual library of objects for use by teachers and students of probability and statistics. The library contains objects of two basic types, applets and components.An applet is a small, self-contained program that runs in a web page. Applets are intended to illustrate concepts and techniques in an interactive, dynamic way. A teacher or student can download an applet, drop it in a web page, and then add other elements of her own choice (such as expository text, data sets, and graphics). The applets in the library contain essentially no mathematical theory and thus can be used by students at various levels. The applets are intended to be small "micro worlds" where students can run virtual versions of random experiments and play virtual versions of statistical games.Components are the building blocks of applets and of other components. The Java objects are of three basic types: virtual versions of physical objects, such as coins, dice, cards, and sampling objects; virtual versions of mathematical objects, such as probability distributions, data structures, and random variables; user-interface objects such as custom graphs and tables. The Java objects can be used by teachers and students with some programming experience to create custom applets or components without having to program every detail from scratch, and thus in a fraction of the usual time. In addition, the components are extensively documented through a formal object model that specifies how the components relate to each other.Each object can be downloaded as a Java "bean" that includes all class and resource files needed for the object. An object in the form of a Java bean can be dropped into a builder tool (such as JBuilder or Visual Cafe) to expose the properties and methods of the object. Each object can also be downloaded in the form of a zip file that includes the source files and resource files for the object/Statistics Object Library to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Probability/Statistics Object Library
Select this link to open drop down to add material Probability/Statistics Object site contains a catalogue of video clips from course lectures outside of mathematics that use mathematics. The following...
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This site contains a catalogue of video clips from course lectures outside of mathematics that use mathematics. The following are given: the math being used in the video, the link to the video clip, the time segment within the lecture that contains that mathematics application, the university where the course was taught, the course title, the name of the professor, and a brief description of the content and how it might be used in the relevant mathematics course. The site is indexed by mathematics application with four main categories: Statistics, Algebra and Pre-Calculus, First Year Calculus, and Second Year Calculus. The site is meant for mathematics instructors who want to show their students how mathematics is used. Students will get an authentic demonstration on where they will be seeing the math in their Catalog of Mathematics Applications Found in Non-Mathematics Courses to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Catalog of Mathematics Applications Found in Non-Mathematics Courses
Select this link to open drop down to add material Catalog of Mathematics Applications Found in Non-Mathematics Courses• Free to use software for learning, teaching and evaluation• Fully interactive, easy-to-use interface with many powerful features• Access to an ever-expanding pool of resources at Available in many languages• A fun way to really see and experience mathematics and science• Adaptable to any curriculum or project• Android to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material GeoGebra App for Android
Select this link to open drop down to add material GeoGebra App for Android.* Free to use software for learning, teaching and evaluation* Fully interactive, easy-to-use interface with many powerful features* Access to an ever-expanding pool of resources at Available in many languages* A fun way to really see and experience mathematics and science* Adaptable to any curriculum or project* iPad to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material GeoGebra App for iPad
Select this link to open drop down to add material GeoGebra App for iPadFeaturesFree to use software for learning, teaching and evaluationFully interactive, easy-to-use interface with many powerful featuresAccess to an ever-expanding pool of resources at in many languagesA fun way to really see and experience mathematics and scienceAdaptable to any curriculum or projectUsed Windows to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material GeoGebra App for Windows
Select this link to open drop down to add material GeoGebra App for Windows by Saylor.org to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Mathematics by Saylor.org
Select this link to open drop down to add material Mathematics by Saylor.org to your Bookmark Collection or Course ePortfolio
Monberg Mathematics is a compendium of statistics, Maple, applied mathematics, historical perspective, instruction and...
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Monberg Mathematics is a compendium of statistics, Maple, applied mathematics, historical perspective, instruction and educational research. Do you have an area of inquiry? Write the author! This website is designed for student instruction, mathematical enrichment, instruction and professional enticement. It is a work in progress Monberg Mathematics to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Monberg Mathematics
Select this link to open drop down to add material Monberg Mathematics to your Bookmark Collection or Course ePortfolio | 677.169 | 1 |
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This book makes the mathematical basis of formal methods accessible both to the student and to the professional. It is motivated in the later chapters by examples and exercises. Throughout, the premise is that mathematics is as essential to design and construction in software engineering as it is to other engineering disciplines. The exercises range from simple drills, intended to provide familiarity with concepts and notation, to advanced material. The first four chapters of the book are devoted to foundations, with an introduction to formal systems, then the propositional and predicate calculi, concluding with a chapter on theories in general. The second part of the book builds upon the foundations by covering in detail the theory of sets, relations, functions, and sequences. The mathematical data types then presented are powerful enough to describe many aspects of software systems, and small case studies are included as examples of their use in the modelling of software: a configuration manager, a storage allocator, and a simple backing store interface. The concrete syntax of the Z notation has been adopted. The third part of the book presents two detailed case studies in the use of mathematics in software engineering. The first is the specification of the behaviour of a telephone exchange, and the second illustrates the importance of the development of a mathematical theory in gaining an understanding of a system. Both case studies stress the roles of modelling and of proof in the construction of specifications. The final part describes the algebraic approach to specification and then summarizes and compares the various formal techniques.
--This text refers to an out of print or unavailable edition of this title.
--This text refers to an out of print or unavailable edition of this title.
Most Helpful Customer Reviews
The Kindle Edition is badly formatted, with missing symbols (replaced by 'iconid="xx"'), ASCII replacements for logic symbols (V and /\ for OR and AND, which looks really bad in a serif font') and formulae which look like scanned images from the book (sometimes the wrong images). | 677.169 | 1 |
The Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms,... more...
Elementary Calculus presents a three semester introductory course on calculus. This book reveals the conceptual development of the calculus, taking into cognizance the technical and applied sides and standards of clarity and rigor that prevail in mathematics. The topics discussed include the basic laws of numbers, classification of real functions,... more...
Your light-hearted, practical approach to conquering calculus Does the thought of calculus give you a coronary? You aren't alone. Thankfully, this new edition of Calculus Workbook For Dummies makes it infinitely easier. Focusing "beyond the classroom," it contains calculus exercises you can work on that will help to increase your confidence and... more...
Fundamentals of Calculus encourages students to use power, quotient, and product rules for solutions as well as stresses the importance of modeling skills. In addition to core integral and differential calculus coverage, the book features finite calculus, which lends itself to modeling and spreadsheets. Specifically, finite calculus... more...
Multivariable Calculus with Linear Algebra and Series presents a modern, but not extreme, treatment of linear algebra, the calculus of several variables, and series. Topics covered range from vectors and vector spaces to linear matrices and analytic geometry, as well as differential calculus of real-valued functions. Theorems and definitions are included,... more...
Advanced Calculus with Linear Analysis provides information pertinent to the fundamental aspects of advanced calculus from the point of view of linear spaces. This book covers a variety of topics, including function spaces, infinite series, real number system, sequence spaces, power series, partial differentiation, uniform continuity, and the class... more...
Introductory Calculus: Second Edition, with Analytic Geometry and Linear Algebra is an introductory text on calculus and includes topics related to analytic geometry and linear algebra. Functions and graphs are discussed, along with derivatives and antiderivatives, curves in the plane, infinite series, and differential equations. Comprised of 15 chapters,... more...
Calculus Using Mathematica is intended for college students taking a course in calculus. It teaches the basic skills of differentiation and integration and how to use Mathematica, a scientific software language, to perform very elaborate symbolic and numerical computations. This is a set composed of the core text, science and math projects, and computing... more...
Collection of Problems on a Course of Mathematical Analysis contains selected problems and exercises on the main branches of a Technical College course of mathematical analysis. This book covers the topics of functions, limits, derivatives, differential calculus, curves, definite integral, integral calculus, methods of evaluating definite integrals,... more... | 677.169 | 1 |
Master Algebra Lite
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Description
This is for students in High School/College learning algebra. If you are a beginner in algebra you might be thinking X+Y=XY, Is not it? But it's not.
The beauty of algebra is, it deals with variables, expressions & equations. You will come to know various formulas.
For example if you know (a+b)^3= a^3+b^3+3a^2b+3ab^2.
You can calculate any number to the powers 2,3,4…in a fraction of seconds.
In the above equation a ,b are variables. So you can calculate (1.034)^3 also using that formula. Just feed a=1& b=.034
IMathPractice Algebra's 3 steps method of teaching has sections like Tutorial, Practice Skills, Practice Test & Algebra Challenge. Under tutorial it teaches you.
Numbers
Types of Number like real number, integer, negative number, complex number
Addition, Subtraction, Multiplication & Division of Real Number
Addition, Subtraction, Multiplication & Division of Negative Number
Addition, Subtraction, Multiplication & Division of Complex Number
Properties of Number | 677.169 | 1 |
Algebra 2 Syllabus
[h1]Algebra 2 Syllabus[/h1]
Algebra II
Instructor: Mrs. Schwendenman
Skill Objectives:
Students will:
-Become aware of relationships between the different parts of mathematics.
-Begin to perceive patterns in numbers number systems.
-Become aware of the conceptual aspects of the number systems, algebraic systems.
- use graphing calculators to explore mathematical concepts.
-Begin to recognize and solve problems using the concepts of algebra as a
problem solving tool.
Class Rules and Procedures
Students are permitted to be tardy no more than twice per nine weeks. With a third tardy, a student will automatically be assigned to an after-school detention. Excessive lateness will impact a student's grade.
No student will be given permission to leave class to use the rest room or get a drink of water during class time. If you have a medical condition, you must let Mrs. Schwendenman know and accommodations will be made.
Students are to come to class prepared with the following required materials: Paper, graph paper, ruler, pencil/eraser, pen, notebook, graphing calculator TI-83 or TI 84.
Respect one another, respect yourself
Listen to one another
Course Calendar – Student class assignments for each week will be posted online on the teacher blog.
Algebra II
Instructor: Mrs. SchwendenmanTEXTBOOK:
Merrill, Algebra 2, with Trigonometry
New York, New York: Glenco/McGraw-Hill, Inc. 1995.
Topic List:
a. Review of real numbers.
b. Solving first degree equations and inequalities having one
variable.
c. Special products, factoring and solving more complicated
equations.
d. Fractional expressions and fractional equations.
e. Graphs, linear equations, functions and relations.
f. Systems of linear equations and inequalities.
g. Exponents, radicals and complex numbers.
h. Quadratic functions and quadratic equations.
i. Conics and systems of quadratic equations.
j. Exponential and logarithmic functions.
k. Matrices.
n. Trigonometric functions.
o. Sequences and series.
Skill Objectives:
Students will:
-Become aware of relationships between the different parts of mathematics.
-Begin to perceive patterns in numbers number systems.
-Become aware of the conceptual aspects of the number systems, algebraic systems.
- use graphing calculators to explore mathematical concepts.
-Begin to recognize and solve problems using the concepts of algebra as a
problem solving tool.
Class Rules and ProceduresStudents are permitted to be tardy no more than twice per nine weeks. With a third tardy, a student will automatically be assigned to an after-school detention. Excessive lateness will impact a student's grade.
No student will be given permission to leave class to use the rest room or get a drink of water during class time. If you have a medical condition, you must let Mrs. Schwendenman know and accommodations will be made.Students are to come to class prepared with the following required materials: Paper, graph paper, ruler, pencil/eraser, pen, notebook, graphing calculator TI-83 or TI 84.
Respect one another, respect yourself
Listen to one another
Course Calendar – Student class assignments for each week will be posted online on the teacher blog. | 677.169 | 1 |
Combinatorial Problems and Exercises
9780821842621
ISBN:
0821842625
Pub Date: 2007 Publisher: American Mathematical Society
Summary: The main purpose of this book is to provide help in learning existing techniques in combinatorics. The most effective way of learning such techniques is to solve exercises and problems. This book presents all the material in the form of problems and series of problems.
Lovász, László is the author of Combinatorial Problems and Exercises, published 2007 under ISBN 9780821842621 and 0821842625. One hundred for...ty Combinatorial Problems and Exercises textbooks are available for sale on ValoreBooks.com, fifty three used from the cheapest price of $61.32, or buy new starting at $61.32.[read more]
Ships From:Multiple LocationsShipping:StandardComments:ALTERNATE EDITION: New. International edition. Different ISBN and Cover image but contents are same as US edition. ... [more]ALTERNATE EDITION: New. | 677.169 | 1 |
There is a newer edition of this itemProduct Description
About the Author
Josh Rappaport is the author of the Parents' Choice award-winning Algebra Survival Guide, and co-author of PreAlgebra Blastoff and the Card Game Roundup books. Josh taught middle school and high school, and for the last 20 years has been president of the Now I Get It! Learning Center, where he teaches and tutors children of all ages.
Most helpful customer reviewsMost Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
148 reviews
118 of 120 people found the following review helpful
Best algebra guide on the marketMay 9 2010
By
sloan
- Published on Amazon.com
Format: Paperback
Verified Purchase
Trust me when I say this the best Alegbra guide on the market. I know because I tried them all(no joke.) As an adult, who never had Algebra in high school, I was not prepared for it in college. And there are few college courses that go all the way back to the beginning, mine expected that you already had basic algebra fundamentals. The guide along with the workbook, actually replaced my textbook. The textbook was simply put, confusing, and unrelatable. The guide, and workbook were lifesavers for me. The clear, precise and easy to understand examples clarified much of what confused me. And associating all of the properties and laws to analogies worked liked a charm. In fact, I soon learned I knew th properties and laws better than my classmates and began using the analogies to explain them so they to could remember all the little tricks this guide taught me. My teenage son, who has struggled with Algebra, now has his own copies and wonders why his teachers have never thought to make it so easy to learn.
66 of 69 people found the following review helpful
Highly recommend the book and workbookAug. 27 2007
By
T. Malnar
- Published on Amazon.com
Format: Paperback
I purchased the Algebra Survival guide and the workbook for my sons who would be taking Algebra in 8th grade. They easily completed the entire book over the summer. The survival guide is easy to understand. The Emergency Fact sheet will be a great reference. They will sail through Algebra this year. I highly recommend these books as a prelude to classroom Algebra for all students.
39 of 43 people found the following review helpful
Algebra Survival GuideAug. 1 2005
By
Learnability
- Published on Amazon.com
Format: Paperback
Absolutely the best book we have found in working with students preparing for Algbra. Great foundational skills organized in a useful way with good explanations that are easy to follow.
61 of 71 people found the following review helpful
A Classic Start!July 7 2004
By
John D MacDonald
- Published on Amazon.com
Format: Paperback17 of 18 people found the following review helpful
great companion for the GuideNov. 20 2007
By
N.F.
- Published on Amazon.com
Format: Paperback
Verified Purchase
I wrote a review of The Algebra Survival Guide, and just want to say here that this should definitely go in your cart along with it. It has lots of problems to work that match up to the Guide, plus a few new concepts to add on to the lessons learned in the Guide. | 677.169 | 1 |
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Practical Problems in Mathematics for Electricians
Summary
Now in its seventh edition, Practical Problems in Mathematics for Electricians contains 45 instructional units featuring updated materials, examples, and expanded mathematical operations for students and trainees of the electrical trade. Coverage begins with simple addition and subtraction of whole numbers and progresses through basic algebra and trigonometry, developing readers' awareness of electrical symbols, basic circuits, component terminology, and calculator use for success on the job. Word problems designed to encourage the use of logical deduction are just one of the hallmarks of this tried and true guidebook that provides the mathematical background students need to succeed in the electrical field. Explanations at the beginning of each unit foster a better understanding of the concepts being presented; while problems related to electricity help develop an appreciation for electrical terms and practices. | 677.169 | 1 |
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The 'map' showing how the New Life Project courses (Math Literacy, Algebraic Literacy) fit into the collegiate mathematics curriculum has been updated.
Here is the version intended for mathematics professionals:
We also have a 'simplified' version, intended for those outside of mathematics departments:
These new versions continue the same concepts. The clarifications involve (A) the eventual use as replacements for the traditional developmental mathematics courses (from 3 or more, down to 2) and (B) placement into algebraic literacy (more than can go into intermediate algebra).
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Have you got course(s) in … basic math … arithmetic … pre-algebra … fraction modules … decimal modules … etc?? Although some colleges and a few states have eliminated courses at this level, the vast majority of colleges still have one or more. One is too many! #acceleration #FinancialAid
My institution is currently going through a process (intensely so) dealing with our single course at that level (pre-algebra). Our department has been asked (about every 10 years) to classify developmental courses as 'high school' or 'below high school'. The most recent request resulted in our best answer at this time: pre-algebra is at the K-8 level. That was mostly true 10 years ago, and the answer is even clearer when the Common Core standards are considered.
Does your college follow this rule? You might know already, but be aware that all institutions can be subject to a financial aid audit; violations can result in financial penalties up to and including loss of all federal financial aid money. Fines are the most common penalty, from what I've heard.
Do you have 3 or more courses below intermediate algebra? Two of these are likely to be 'elementary level' (non-federal financial aid), and one 'high school' (beginning algebra). Three courses at that level creates a practical problem for students (completion), a financial problem for your institution (financial aid audit), and a moral problem as well.
The Math Literacy course is designed to have a minimal prerequisite (basic numeracy). Some colleges use Math Literacy with a lower placement cutoff than beginning algebra; some offer Math Literacy without any math prerequisite at all. To me, this is a situation where co-requisite remediation makes a lot of sense. The prerequisite knowledge is a fairly small set, and the range of 'gaps' is therefore more limited than it would be in a higher-level course.
For some of us, 'arithmetic' is the most common placement level for new students in our college. I've heard up to 36% in that placement, with my college's rate a little lower. In all of the research I've seen over the years, one thing has been consistent: courses before beginning algebra do not benefit students in terms of passing subsequent math courses (in general). Our instruction and learning is often the least sophisticated at this level, and student motivation tends to be pretty low.
Let's agree that eliminating courses below Math Literacy (and beginning algebra) is a really, really good goal. The problems have other solutions within our reach, and our students deserve better than they are getting now. The federal financial aid rules provide an added incentive; however, we have sufficient rationale from other considerations.
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In our beginning algebra class, we started our work in 'exponents'. I use an activity (guided, discovery) to start this work and talk with students and groups as they answer the questions. The range of questions and confusion is both encouraging and discouraging. Some of the questions showed thoughtfulness and insight; others indicated a naive knowledge of our language system. #placement #tests
A large component of the issues relate to "grouping", in 3 categories:
The meaning of required, shown grouping
The meaning of optional, shown grouping
The meaning of implied grouping
Many of us have commented on an example of the last group: -5², where the implied grouping exists on the base (5) not the opposite. Students do struggle with this, and … on its own … this type of problem is not worth the trouble. However, many of the same students misinterpret 5x²; when a value of x is provided students will square the 5 as well as the x … if the replacement value is negative, students will either leave off parentheses on that value or write the parentheses but not use them in evaluating. The implied grouping is a key feature of mathematical languages, and it harms students that we are not consistent in the meaning of implied grouping. [Just think about what sin² 3x means … there are two implied groupings in that expression, and both are inconsistent with almost all other implied groupings.]
When a problem had optional grouping shown, as in (5xy)(x²y³), students do not always understand that the meaning has not changed … and often, they think of a different process (like distributing) when they would not if the problem had no grouping at all. Another example would be (5x + 3) – (2x – 5) [required grouping on the 2nd expression] when the student distributes the 'negative' and writes (5x + 3) (-2x + 5) … and proceeds to multiply; that's a case where we would say the grouping is optional but correct with the 'plus' between the groups.
So, what do these comments have to do with 'needing developmental math' or 'needing remediation'? These misunderstandings are not gaps in knowledge, nor forgotten information … they are wrong ideas (called 'baggage' by some colleagues). Wrong ideas are known to be resistant to instruction; the most common outcome is that the wrong ideas are temporarily covered up by memorized correct information but then re-appear in the behavior after a short period of time.
Much criticism has been leveled at the placement tests we use. The words "evil" and "invalid" often are included in statements about those tests. However, the problem is us not the tests. The tests are constructed to meet 'market demands' … we have told the companies that we need to measure skills, so that is what we got. The problem is that skills are a very poor way to identify students needing either a developmental math course or a remedial math course. Missing a skill problem can be caused by either a wrong idea OR a forgotten procedure, resulting in much ambiguity with scores.
Developmental mathematics is not going away. Change is happening … the new courses like Mathematical Literacy and Algebraic Literacy focus first on developing right ideas about the mathematical objects then on procedures. What we need is a new set of specifications for placement tests to determine who needs a course versus those who are either 'ready now' or 'have forgotten some'. I suspect that the 'entrance tests' (SAT, ACT) are better measures than the placement tests because the ACT & SAT are not as focused on skills. We need placement tests that identify wrong ideas as well as some fundamental skills. | 677.169 | 1 |
In mathematics, a constraint is a condition that a solution to an optimization problem is required by the problem itself to satisfy. There are two types of constraints: equality constraints and inequality constraints. The set of candidate solutions that satisfy all constraints is called the feasible setLinear approximation
In mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are widely used in the method of finite differences to produce first order methods for solving or approximating solutions to equationsLinear differential equation
Linear differential equations are of the form where the differential operator L is a linear operator, y is the unknown function (such as a function of time y), and the right hand side ƒ is a given function of the same nature as y (called the source term).Trust region
Trust region is a term used in mathematical optimization to denote the subset of the region of the objective function to be optimized that is approximated using a model function. If an adequate model of the objective function is found within the trust region then the region is expanded; conversely, if the approximation is poor then the region is contracted. Trust region methods are also known as restricted step methods.
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A working knowledge of mathematical concepts is essential to success in many career fields. A mastery of these skills opens doors to some of the highest paying career opportunities available.
The Math Center helps students overcome their math anxiety by allowing them to learn at their own pace. ECHO and SAILS are grant-funded programs that prepare high school students for college level math courses. U DO THE MATH is a program that aids other post-secondary institutions redesign math courses to improve the achievement of students in remedial classes.
These services are part of an on-going effort to prepare students in Chattanooga State's service area for college level courses or technical education in a competitive work environment | 677.169 | 1 |
presents a variety of applied mathematics topics with an emphasis on problem solving techniques using MATLAB. Numerous examples are presented as illustrations of basic concepts and problem solving techniques. The proposed second edition of the book follows the structure of the first…
Mastering the Tools
Unlike other books about R, written from the perspective of statistics, R for Programmers: Mastering the Tools is written from the perspective of programmers, providing a channel for programmers with expertise in other programming languages to quickly understand R. The contents are divided into…
Fast Solvers for Mesh-Based Computations presents an alternative way of constructing multi-frontal direct solver algorithms for mesh-based computations. It also describes how to design and implement those algorithms.
The book's structure follows those of the matrices, starting from tri-diagonal…
The book provides a fast track to understanding the Riemann…
Models, Methods, and Analysis with MATLAB® and MPI, Second Edition
Computational Mathematics: Models, Methods, and Analysis with MATLAB® and MPI is a unique book covering the concepts and techniques at the core of computational science. The author delivers a hands-on introduction to nonlinear, 2D, and 3D models; nonrectangular domains; systems of partial…
Line Integral Methods for Conservative Problems explains the numerical solution of differential equations within the framework of geometric integration, a branch of numerical analysis that devises numerical methods able to reproduce (in the discrete solution) relevant geometric properties of the…
A Powerful Methodology for Solving All Types of Differential Equations
Decomposition Analysis Method in Linear and Non-Linear Differential Equations explains how the Adomian decomposition method can solve differential equations for the series solutions of fundamental problems in physics,…
Methods and Applications, Second Edition
Numerical Analysis for Engineers: Methods and Applications demonstrates the power of numerical methods in the context of solving complex engineering and scientific problems. The book helps to prepare future engineers and assists practicing engineers in understanding the fundamentals of numerical…
Principles and Algorithms
Optimization algorithms are critical tools for engineers, but difficult to use since none of them are universal in application. This introductery text builds up the knowledge set, from the basics, so that engineering students can understand the processes that govern optimization processes.…
A concise introduction
Computational Economics: A concise introduction is a comprehensive textbook designed to help students move from the traditional and comparative static analysis of economic models, to a modern and dynamic computational study. The ability to equate an economic problem, to formulate it into a…
Methods for Computer Vision, Machine Learning, and Graphics
Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook… | 677.169 | 1 |
HINGES - An Illustration of Gauss-Jordan Reduction - Introduction
Abstract
Elementary row operations, Gaussian elimination, and Gauss-Jordan reduction play key roles in an introductory linear algebra course. While some form of geometric visualization typically accompanies the introduction of these procedures, textbooks tend to focus nearly exclusively on their algebraic aspects. In this article, I propose a dynamic geometric illustration of elementary row operations, which can help students better understand Gaussian elimination and Gauss-Jordan reduction, from both mechanical and conceptual points of view.
In an introductory linear algebra course, elementary row operations are a recurring theme. They are typically introduced in the context of Gauss-Jordan reduction and/or Gaussian elimination and are repeatedly referred to when discussing a variety of topics, including matrix inverses, determinants, linear independence, coordinates, eigenvectors, and linear transformations (Carlson et al., 1993).
Almost all linear algebra textbooks incorporate at least some discussion of the geometry of vectors and lines in R2, as well as vectors, lines, and planes in R3 . Specifically, there are renderings of planes in R3 corresponding to a system of equations in three unknowns (in various configurations: one solution, two parallel planes, etc.). See, e.g., Kolman and Hill (2001, p. 6) and Bretscher (2001, pp. 3-4). However, the mode in which elementary row operations are discussed in textbooks is almost exclusively algebraic.
Some authors have written modules, usually created on CAS platforms such as Maple or Mathematica, designed to overcome this limitation by illustrating the geometry of each iteration of Gaussian elimination (e.g., Symancyk, undated). I will take another step in this direction. Rather than presenting the iterations in a "discrete" manner, I will illustrate dynamically the transition corresponding to each row operation in a "continuous" fashion, using an animation-based approach. I believe this approach can help students better understand both the mechanics of how these operations are executed (e.g., "how we choose the pivot") and the motivation for the entire procedure of Gauss-Jordan reduction or Gaussian elimination (i.e., why we try to get these planes aligned with the coordinate axes).
To accomplish these goals, I have designed an activity called "HINGES" -- the acronym will be explained on page 3. | 677.169 | 1 |
This rather clunky looking formula—made more clunky by its pixelated nature—is actually rather special. Because the formula is what's used to create the visual representation of the formula which is used to create the...»4/16/15 5:00am4/16/15 5:00am
Tablets have the potential to topple stacks of textbooks, but it can't happen until publishers start cramming entire curricula into apps. Houghton Mifflin Harcourt's new Algebra 1 app, which has a full year's worth of material, is the first attempt.»9/09/10 9:00am9/09/10 9:00am | 677.169 | 1 |
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 piecewise functions. Also algebraic operations on functions, function composition, and general types of functions.
A unit that addresses the sheer volume of incomprehensible numbers (speed, distance, age) in the natural world, helping students to understand the scale of the world using the concepts of rates, proportions and dimensional analysis. Students learn to calculate problems such as: Measurements indicate that the continents of Europe and North America are separating (plate tectonics) at the rate of...
Links to selected sites, projects, and graphing calculator explorations designed to foster understanding of the family of functions known as exponential functions, useful in such applications as population growth, compound interest, radioactive decay, and value depreciation, where the rate of change is either continuously decreasing or continuously increasing. | 677.169 | 1 |
How can the Math Resource Center help with my math course? Free math tutoring for all TCC math courses from Pre-Algebra to Calculus III, as well as Statistics. You can also find test reviews/solutions (developmental class) and other helpful study aids to both the regular math courses offered as well as material for the TSI Assessment or other placement tests. Keep checking back for new updates are we look to improve this learning space.
*Students are able to borrow SE TCC adopted math textbooks, student solution manuals, both scientific and graphic calculators and use our computers for math homework. | 677.169 | 1 |
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About the book:
Prime numbers beckon to the beginner, the basic notion of primality being accessible to a child. Yet, some of the simplest questions about primes have stumped humankind for millennia. In this book, the authors concentrate on the computational aspects of prime numbers, such as recognizing primes and discovering the fundamental prime factors of a given number. Over 100 explicit algorithms cast in detailed pseudocode are included in the book. Applications and theoretical digressions serve to illuminate, justify, and underscore the practical power of these algorithms. This book can be read on several levels. For those wanting a taste of the lore of prime numbers and the principal methods to deal with them, the book provides a friendly introduction. For those wanting to delve deeper into the essential details of the most up-to-date methods for prime number computations, the book has such details and many references to the huge literature on the subject. Students can test their understanding with interesting exercises, including some entertaining, nonstandard ones. And for those wishing to start or enrich a research program in computational prime number theory, the many unsolved problems in the text, and research problems in the exercises, provide rich ground for further workBooks Quest via United States
Hardcover, ISBN 0387947779 Publisher: Springer, 2002 Usually ships in 1-2 business days, Just like it sounds. A brand-new, unused book.
Hardcover, ISBN 0387947779 Publisher: Springer, 2002 Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Primes is a definitive presentation on the most modern computational ideas about prime numbers and factoring and will stand as an excellent reference for this kind of computation, of interest to both researchers and educators. The book is timely, because primes and factoring have reached a certain vogue, partly due to their use in cryptography. A final chapter presents applications to mathematical finance via...
Hardcover, ISBN 0387947779 Publisher: Springer, 2002 Used - Very Good, Usually ships in 1-2 business days, Very Good condition. Clean copy with no writing or markings; appears unread. One small minor corner bump; one very small 1/16 inch diameter brown spot on book edge (see photo.) Fast same-day shipping. | 677.169 | 1 |
National 5 Mathematics
This Course is valid from August 2013.
The National 5 Mathematics Course enables learners to select and apply mathematical techniques in a variety of mathematical and real-life situations. Learners interpret, communicate and manage information in mathematical form.
Further information on Understanding Standards materials can be found in the 'Assessment support' section below. For more information on the Understanding Standards programme, and publication dates for materials in session 2015-16, visit our Understanding Standardspage.
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The documents on this page are for teachers and lecturers.
Learners studying this qualification may also find the documents useful.
The 'Related information' panel on this page contains information that applies to all new National Qualifications in this subject.
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This explains the overall structure of the Course, including its purpose and aims and information on the skills, knowledge and understanding that will be developed.
National Parent Forum Scotland have also produced their Revision in a Nutshell series to help learners to prepare for new National 5 examinations | 677.169 | 1 |
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MATH 121 Mathematics for Elementary Teachers I
Credit Hours:
3.00
Course Description:
For students who are involved in a curriculum for elementary teachers. Includes problem solving, an introduction to logic, set theory, number theory, numeration systems, whole numbers, and fractions. Addresses concept development, communication skills, both oral and written, and problem solving skills in accordance with the NCTM Standards. Course integrates topics in algebra throughout.
Prerequisites:
Math 109 OR Math 110 with a C grade or better OR a satisfactory score on the placement test. | 677.169 | 1 |
9780078682094
ISBN:
0078682096
Publisher: Glencoe/McGraw-Hill
Summary: NoteablesTM: Interactive Study Notebook with FoldablesTM is a complete note-taking system with guided note taking for every lesson - in a workbook format. Plus, vocabulary builder and a chapter test preparation section are included for every chapter.
Zike, Dinah is the author of Glencoe Algebra 2, Noteables Interactive Study Notebook With Foldables, published under ISBN 9780078682094 and 0078682096. One hund...red nineteen Glencoe Algebra 2, Noteables Interactive Study Notebook With Foldables textbooks are available for sale on ValoreBooks.com, fifty one used from the cheapest price of $26.99, or buy new starting at $18.63.[read more] | 677.169 | 1 |
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Competitions
MAA provides high school teachers with high quality classroom resources to build their students' problem-solving skills. MAA's American Mathematics Competitions (AMC) is America's longest running and most prestigious suite of math contests, now offering versions for middle school and high school students. More than 350,000 students participate each year. Most recently, the Association began an initiative to map AMC problems to the Common Core State Standards for Mathematics (CCSS-M) and to provide new classroom materials focused on problem-solving activities aligned with the CCSS-M.
The materials we offer represent efforts by members committed to improving teaching and learning. Through Curriculum Inspirations, a media experience which inspires and prepares students with problem solving in the classroom and lively implementation of the CCSS-M, students will gain confidence. Curriculum Inspirations enables all students to experience the joy of deep mathematical thinking and lively exploration. Our Curriculum Development & Resources provides the MAA-Maplesoft Placement Testing Suite and our Basic Library List of books in the mathematical sciences recommended for high school libraries. MAA's books and publications provide the tools needed to coach students in effective mathematical problem solving. We invite you to explore these for your own use. | 677.169 | 1 |
The Mathematical Association of America (MAA) Journal Writing Awards honor the best mathematical writing from their various journals, and they also serve as a repository of great instructional resources for mathematics...
This online tutorial is intended for college students taking an early course in mathematical optimization or linear differential equations. Although it is written by a professor of economics, little economic theory is...
Mathematics educators will find much to enjoy on this clutch of video programs created to help illustrate the link between instruction and assessment. Created by WGBH Boston, this 11-part series includes case studies...
Maths Challenge is a fun activity to build mathematical and reasoning skills. Each month during the school year, a new set of math problems are posted online. There are miscellaneous problems at junior and senior levels... | 677.169 | 1 |
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The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics. The books accessibility, the informal writing style, and a wealth of exercises make it an ideal introduction for those interested in learning about Diophantine equations and arithmetic geometryUS_Superfast_Bookstore via United States
Softcover, ISBN 0387978259 Publisher: Springer78259 Publisher: Springer, 1994 038797825978259 Publisher: Springer78259Rational Points on Elliptic Curves, Silverman, 9780387978253 Silverman)
Softcover, ISBN 0387978259 Publisher: Springer387978259 Publisher: Springer387978259 Publisher: Springer, 1994 | 677.169 | 1 |
Important Updates
AP Calculus Updates
Updates to AP Calculus AB and AP Calculus BC will take effect in the 2016-17 school year.
Welcome, AP Teachers! AP Calculus BC is roughly equivalent to both first and second semester college calculus courses and extends the content learned in AB to different types of equations and introduces the topic of sequences and series. The AP course covers topics in differential and integral calculus, including concepts and skills of limits, derivatives, definite integrals, the Fundamental Theorem of Calculus, and series. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections amongst these representations. Students learn how to use technology to help solve problems, experiment, interpret results, and support conclusions.
AP Course Audit Information
The AP Course Audit provides teachers and administrators with clear guidelines on curricular and resource requirements for AP courses. All schools wishing to label a course AP must submit a subject-specific AP Course Audit form and the course syllabus for each teacher of that AP course. Your course page has resources to support syllabus development.
Benefits of Becoming an Authorized AP Teacher
Inclusion of authorized courses on the AP Course Ledger so that colleges and universities can verify student transcripts
Professional Development
The College Board offers both face-to-face and online professional development workshops, available for new and experienced AP teachers as well as AP coordinators and administrators. Led by experienced instructors, subject-specific AP workshops provide educators with the support and training needed to develop effective strategies for teaching an AP course.
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June–August: One-week AP Summer Institutes are offered at different sites throughout the country, providing an in-depth look at the course and exam.
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AP and Higher Education
Higher Education professionals play a key role developing AP courses and exams, setting credit and placement policies, and scoring student work. The AP Higher Ed site features information on recruitment and admission, advising and placement, and more.
This chart shows recommended scores for granting credit, and how much credit should be awarded, for each AP course. Your students can look up credit and placement policies for colleges and universities on the AP Credit Policy search. | 677.169 | 1 |
The program provides detailed, step-by-step solution in a tutorial-like format to the following problem: Given a 2x2 matrix, or a 3x3 matrix, or a 4x4 matrix, or a 5x5 matrix. Find its inverse matrix by using the Gauss-Jordan elimination method. The check of the solution is given. The program is designed for university students and professors | 677.169 | 1 |
Use of WebTests in teaching mathematics for economics
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There are a number of challenges facing all people who are asked to teach mathematics to economics students. These include: low levels of confidence with respect to mathematical ability; limited fluency in algebra; limited understanding of the usefulness of mathematical principles in economic argument; and difficulties in recognising the mathematical representation of a problem within economic theory. In some ways, the last of these is the most problematic. Students often seem to understand the elements of an economic model when described verbally or diagrammatically, and can solve mathematical problems when it is presented in a fairly compact form. However, understanding how to convert a verbal description of an economic model into mathematical form is an art that can only be learned through extensive practice.
In this note, I have space only to describe the ways in which we have used WebTest, a computer based assessment engine developed within the Department of Mathematics at Heriot-Watt University, and maintained by its Learning Technology Centre, to address some of these problems. However, although I started out attempting to use WebTest as a means of generating additional mathematics questions for students within the constraints of existing teaching programmes, through observing how students used the material, it quickly became apparent that for this application to be successful, it would be necessary to restructure the course around WebTests.
During the first two terms of the second year of our four-year degree in economics, students receive a course of 32 lectures entitled Using mathematics in economics. From the very start of the course, there is an emphasis upon economic modelling. Thus the equation of a line might be taught in the context of the effect of changes in price upon demand for a good, or the consumption function of an economy. As lectures progress, applications become more sophisticated and complete, so that by the end of the lecture series, we consider standard problems in the theory of choice and analyse the standard IS-LM model.
The WebTests are a series of fourteen problem sets that examine students' knowledge of particular economic applications of mathematics. Tests are available online, and each question contains a number of random parameters, determined separately in each realisation of the test being used - generally sufficient so that no matter how many times the student generates a test, they will not obtain the same question twice.
Tests are assessed on a pass-fail basis, with a score of 70% being required to pass. Students can try each test as often as they wish. Tests are structured so that students should be able to score 40% or so without any particular knowledge, and pass after two or three attempts. Since each realisation of the test is different, and questions are quite sophisticated, students tend to learn techniques for solving types of problem, rather than specific questions. | 677.169 | 1 |
While this content is self-contained, there are certainly a ton of other web resources for kinematics, as well as calculus in general. Here Iíve compiled some of the best resources Iíve come across for both students and teachers.
The Physics Classroom: Here youíll find a tutorial focused on the physics of one-dimensional kinematics. Though it doesnít specifically address the calculus behind the scenes, itís a great spot if youíre trying to understand the basic concepts.
Paulís Online Math Notes for Calculus 1: Though Paul doesnít directly address kinematics, his site includes self-contained courses for every calculus course up to differential equations. This is a great self-study resource for both teachers and students. He includes numerous examples for each concept, and thereís nothing to download or pay for!
Quick Review and Examples Page: This is a truncated review of the most basic concepts covered in the module, and includes a few practice problems along with their solutions.
College Board Worksheets: This is a great download for teachers. In this 32 page PDF file, you'll find worksheets, keys, and pedagogical advice covering every aspect of kinematics seen on the exam. | 677.169 | 1 |
Modern Matrix Algebra / Edition 1
Hardcover
Temporarily out of stock online.
Overview linear independence/dependence, and bases. Opportunities for a variety of applications, and the optional use of MATLAB, provide hands-on explorations of computations and concepts.
For individuals who want to learn abstract concepts and deal with a wide variety of applications that can be drawn from fields such as physics, chemistry, biology, geology, economics, engineering, computer science, psychology, and sociology. | 677.169 | 1 |
Paperback
Click on the Google Preview image above to read some pages of this book!
This text teaches maths in a step-by-step fashion - ideal for students on first-year engineering and pre-degree courses. - Hundreds of examples and exercises, the majority set in an applied engineering context so that you immediately see the purpose of what you are learning - Introductory chapter revises indices, fractions, decimals, percentages and ratios
About the Author
KULDEEP SINGH is Senior Lecturer in Mathematics at the School of Physics, Astronomy and Mathematics at the University of Hertfordshire, UK. He teaches mathematics to a wide range of engineering and science students.
Online reviews: Very clear. Concise. A joy to learn from. I can't be more happy with a book that allows such depth to be absorbed.- Amazon reviewer This book has been my trusted reference since its first edition and is the best book on the topic that I have ever encountered. It takes you from a round-up of 'the stuff from school' all the way to differential equations; but in contrast to other books, you don't get lost on the way. Every chapter is well structured and full of great explanations, examples and illustrations, as well as related to real-world engineering problems; this makes it extra fun to work through. An amazing piece of work! - Amazon reviewer A brilliant book very well written, definitely outstanding in the field of instruction on basic and advanced maths. The author has the great ability to explain in great detail, and the text, walks the student step by step, through each and every process. Never have I seen such a splendid approach to mathematics...I highly recommend this book for the desk of each High School student, and Advanced Engineering student, or any student, who is required to know maths, from basic to advanced levels. - Barnes & Noble reviewer Published reviews of the first edition: 'The unique quality of this book is the wealth of examples applying the mathematical techniques taught here. These examples span mechanics, aerodynamics, electronics, engineering, fluid dynamics and other areas of applied mathematics. These are not just the usual examples involving differential equations and equations of motion, but real and thoughtful applications that will be relevant to the student.' - Jill Russell, Open University, UK. 'If you teach a first year mathematics module to a diverse engineering group, this book should be at the top of your list for consideration as a core text. It aims to encourage their [the students] learning through setting the mathematics within the context of engineering examples. With its very readable text it is suitable for both self-study and as support for a taught module. The book covers the requirements of most first year engineering mathematics modules with a fairly gentle reminder of arithmetic and algebra by way of introduction. Examples are drawn from such diverse subjects as electricity, control theory, heat flow, structures, fluid mechanics, signal processing, thermodynamics etc with the largest group being from mechanics. The examples are simple enough to be understood by most engineering students but sufficiently specific to allow students to see that mathematics is relevant to their own engineering discipline. I liked the presentation of the text - the questions posed to the reader, the full labelling in diagrams and the indication to students of the discipline of the examples. Helpful extra information is occasionally provided in subscript format to indicate the method used to move from one line to the next.' - Dr Ian Taylor, Faculty of Engineering at The University of Ulster, Engineering Subject Centre, Northern Ireland. 'The book starts with the basics of mathematics making it suitable for those with little background in mathematics. This also makes it appealing to a wide variety of readers with different mathematical backgrounds. The book is a good size covering all the essential topics to adequate depth. It covers topics similar to other books targeted at the same audience; however it differs in that it does not assume readers to have a mathematical background. The book's approach of using examples is effective. Its use of examples is motivating. The engineering example generates interest by illustrating the importance and relevance of mathematics in engineering. A definite plus is the provision of online interactive questions, which enable users to test their understanding. This extra support makes it an ideal text for self-study and distance learning.' - Dr Lawrence Chirwa, School of Electrical and Mechanical Engineering at The University of Ulster, Engineering Subject Centre, Northern Ireland. 'This is a book that is designed to cover the basics thoroughly and then move on. As a reminder of useful techniques, the book is definitely valuable. What is most refreshing is that it explains everything that you need to know in order to cover the basics of a given subject. The fact that there is almost no assumed knowledge is reassuring, and takes some of the mental strain away from getting your head around eigenvectors again... Essentially, if you want to remind yourself how to do those things that you once thought were straightforward, this is the book for you. A very useful book to have on your shelf.' - Edward Hoare, The Institution of Structural Engineers, UK. 'Excellent engineering examples not found in other texts' - Stephen Farrell, Lancaster University, UK 'Displaying questions/examples from different engineering disciplines demonstrates to students that mathematics is not a subject that must simply be endured but that it is an important tool for the professional engineer.' - Frank Doheny, Althone Institute of Technology, Ireland 'I think this is an excellent second edition. The strengths of the book include its being aimed at weaker students who have difficulty bridging the gap between A level and university. The contents match up well with our syllabuses. It has also a wealth of questions based on practical engineering examples.' Ian Jones, Liverpool John Moores University, UK Lecturer feedback: 'I really like this book. There are plenty of end-of-chapter questions and the explanations within the chapters are very well laid out. Topics have been given a thorough treatment.' - Saudagar Jagdev, Department of Engineering, Leeds City College, UK 'This text is brilliant! Easy to read and understand. It also uses an excellent spread of engineering sectors in the end-of-chapter questions.' - Christopher Collins, School of Construction, Lincoln College, UK 'Excellent text - detailed explanation of topics, relevant examples and attractive presentation.' - Aine Ni She, Department of Mathematics, Cork Institute of Technology, Ireland 'An excellent textbook for students undertaking mathematics as part of their core engineering studies.' - Allister Ross Smith, Fife College, UK | 677.169 | 1 |
21 Probability and Its Applications, 3rd Edition
Ssm Intro To Probability & Its Applications
Introduction to Probability and Its Applications
Summary
This text focuses on the utility of probability in solving real-world problems for students in a one-semester calculus-based probability course. Theory is developed to a practical degree and grounded in discussion of its practical uses in solving real-world problems. Numerous applications using up-to-date real data in engineering and the life, social, and physical sciences illustrate and motivate the many ways probability affects our lives. The text's accessible presentation carefully progresses from routine to more difficult problems to suit students of different backgrounds, and carefully explains how and where to apply methods. Students going on to more advanced courses in probability and statistics will gain a solid background in fundamental concepts and theory, while students who must apply probability to their courses engineering and the sciences will develop a working knowledge of the subject and appreciation of its practical power. | 677.169 | 1 |
Algebra 1, Practice Workbook
9780078803062
ISBN:
0078803063
Pub Date: 2007 Publisher: McGraw-Hill Higher Education
Summary: The Practice Workbook mimics the computational and verbal problems in each lesson at an average level providing more challenging problems for students who are moving at a regular or faster pace.
Glencoe McGraw-Hill Staff is the author of Algebra 1, Practice Workbook, published 2007 under ISBN 9780078803062 and 0078803063. One hundred Algebra 1, Practice Workbook textbooks are available for sale on ValoreBook...s.com, or buy new starting at $29.55.[read more] | 677.169 | 1 |
11/15Algebra 2, Study Notebook
Algebra 2, Study Guide & Intervention Workbook
Algebra 2, Homework Practice Workbook
Algebra 2, Student Edition
Algebra 2, Noteables: Interactive Study Notebook with Foldables
Algebra 2, StudentWorks Plus DVD-ROM
Algebra 2, Study Guide and Intervention Workbook
Algebra 2, Spanish Study Guide and Intervention Workbook
Algebra 2, Practice Workbook
Algebra 2, Skills Practice Workbook
Summary
ThePractice Workbookmimics the computational and verbal problems in each lesson at an average level providing more challenging problems for students who are moving at a regular or faster pace. | 677.169 | 1 |
The aim of the book is to study some aspects of geometric evolutions, such as mean curvature flow and anisotropic mean curvature flow of hypersurfaces. We analyze the origin of such flows and their geometric and variational nature. Some of the most important aspects of mean curvature flow are described, such as the comparison principle and its use... more...
This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of... more...
Since its initial publication in 1962, Professor Schwerdtfeger's illuminating book has been widely praised for generating a deeper understanding of the geometrical theory of analytic functions as well as of the connections between different branches of geometry. Its focus lies in the intersection of geometry, analysis, and algebra, with the exposition... more...
Designed to inform readers about the formal development of Euclidean geometry and to prepare prospective high school mathematics instructors to teach Euclidean geometry, this text closely follows Euclid's classic, Elements. The text augments Euclid's statements with appropriate historical commentary and many exercises ? more than 1,000 practice... more...
Designed for high school students and teachers with an interest in mathematical problem-solving, this volume offers a wealth of nonroutine problems in geometry that stimulate students to explore unfamiliar or little-known aspects of mathematics. Included are nearly 200 problems dealing with congruence and parallelism, the Pythagorean theorem,... more...
Polytopes are geometrical figures bounded by portions of lines, planes, or hyperplanes. In plane (two dimensional) geometry, they are known as polygons and comprise such figures as triangles, squares, pentagons, etc. In solid (three dimensional) geometry they are known as polyhedra and include such figures as tetrahedra (a type of pyramid), cubes,... more...
The Pythagorean Theorem is one of the fundamental theorems of elementary geometry, and Pythagorean triangles ? right triangles whose sides are natural numbers ? have been studied by mathematicians since antiquity. In this classic text, a brilliant Polish mathematician explores the intriguing mathematical relationships in such triangles. Starting... more... | 677.169 | 1 |
Description Study of mathematical systems encountered in the work of behavioral, managerial, and social science students. Topics include systems of linear equations and inequalities, matrices, linear programming, introductory probability, mathematics of finance, and elementary Markov chains. Prerequisite: Grade of C or higher in MATH 078E or permission of the Mathematics Department.
Intended Learning Outcomes
Graph ordered pairs of numbers in the Cartesian coordiante plane.
Find the slope of a line.
Find the equation of a line given various conditions.
Graph linear equations.
Determine if lines are parallel, perpendicular, or neither.
Solve applied problems involving linear functions.
Solve 2 by 2 linear systems graphically, by substitution, and by elimination.
Use the Gauss-Jordan method and inverses of matrices to solve n by n systems of linear equations; i.e.d, 3 by 3 systems and higher. | 677.169 | 1 |
MATHEMATICS FOR THE ELEMENTARY TEACHER II
MATHEMATICS FOR THE ELEMENTARY TEACHER II
2013 Winterim
3 Units
Mathematics 149
Topics in probability and statistics, with emphasis on descriptive techniques. Investigations in geometric figures, measurement, construction, transformations, congruent and similar geometric figures. Problem solving strategies, manipulatives, and cooperative learning activities are emphasized throughout the course. All students will prepare a mathematics based activity and present it at an area elementary school.
Other Requirements: PREREQ: MATH 148 WITH A GRADE OF C OR BETTER
Class Schedule
There are no sections offered for this course and term that meet your criteria. | 677.169 | 1 |
Synopses & Reviews
Publisher Comments
Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics.
Review
The subtitle of this book, ``From celestial mechanics to special relativity is correctly indicative of its content, and in the preface, the author enthusiastically pleads guilty to blurring the line between mathematics and physics. One of the book's merits is the substantive historical material given. Among other purposes this serves to show the physics setting in which many calculus concepts have their origin. The book eventually gets around to a fairly honest mathematical treatment of the traditional material of advanced calculus via differential forms, but before arriving at this in Chapter 5, mathematics students are likely to have some frustrating experiences. In Chapter 4 one encounters ``we define $\int\sp{bar b}\sb{bar a}f\sb 1(x,y,z)dx+f\sb 2(x,y,z)dy+f\sb 3(x,y,z)dz$ to be the work done by this force field as it moves a particle along the directed line segment from $bar a$ to $bar b$. Exercise 8 at the end of this section states ``Prove that in an arbitrary force field the amount of work done in moving from $bar a$ to $bar b$ may be dependent on the path. So, one asks oneself, how is {\it work} defined? Nothing more is to be found than the statement in Chapter 2 that work is force times distance, and the resulting representation as a dot product of vectors. The book has much to recommend it. If the first four chapters are primarily to serve as providing some intuitive foundation, it might be better to more explicitly acknowledge this, and to find a more appropriate formulation for whatever is intended in exercises such as the one cited above. ZENTRALBLATT MATH | 677.169 | 1 |
Horizons Pre-Algebra Is Coming!
The wait is over! With great excitement, Alpha Omega Publications is pleased to announce the upcoming release of its new math course for homeschooling families, Horizons Pre-Algebra!
Available in mid-February of 2011, Horizons Pre-Algebra is the highly anticipated, colorful continuation of the award-winning K-6 math series. Recommended for 7th or 8th grade students, this fun-filled course is packed with diverse, colorful lessons that prepare your child for upper-level math courses with a review of vital basic math concepts and a robust introduction to algebra, trigonometry, and geometry.
What's Inside?
Comprised of three perfect-bound components, the packaged set includes a colorful student workbook, a user-friendly teacher's guide, and handy tests and resources book.
Student Book
Similar in layout to Horizons' popular K-6 math courses, the consumable, full-color Horizons Pre-Algebra Student Book includes 160 daily lessons. Designed for completion in 45-60 minutes, each engaging lesson displays an illustrated teaching box that details the new concept being taught, along with a new class work section which reinforces the information with guided practice. Also part of each lesson's assignment is an activities section that contains problems for reviewing both the current lesson topic and previously taught concepts.
What will your child learn? Horizons Pre-Algebra readies your child for more advanced mathematics by teaching several new areas of math concepts, including the following:
Another new feature of the 360-page student book is a set of college test prep questions. Following each block of ten lessons, these challenging problems are designed to help students prepare for standardized math testing. Also included in the Horizons Pre-Algebra Student Book is a new collection of interviews with ordinary people who use math in their daily vocations. Setting the stage for each group of lessons, these thought-provoking, math-minute interviews bring math concepts to life by adding a human interest touch to word problems.
Teacher's Guide
The 400-page Horizons Pre-Algebra Teacher's Guide makes homeschooling easier with a variety of helpful resources, including daily lesson plans with clearly-defined objectives, practical teaching tips, and suggested materials lists; a math readiness test for evaluation; an in-depth scope and sequence; appearance of concepts charts; and solution keys that making grading a breeze as they mirror a reduced version of student worksheet pages for daily lessons, bi-weekly tests, and quarterly exams.
Tests and Resources Book
The Horizons Pre-Algebra Tests and Resources Book gives peace of mind that your student is comprehending concepts with easy-to-use, tear-out materials that include 80 review worksheets, 16 tests, and 4 exams. Each test conveniently follows every10 lessons, and each exam comes after every group of 40 lessons.
Along with a detailed guide that indicates when and where to use each worksheet, test, and exam, this Horizons Tests and Resources Book also provides hands-on, cut-out supplements that assist both visual and kinesthetic learners in mastering algebraic concepts. Included are formula strips, full-color net diagrams of 3-D shapes, and color-coded algebra squares printed on cardstock.
Always a best-seller, Horizons is well-known for its captivating content, appealing activities, and solid results. Wondering if your child is ready for AOP's new Horizons Pre-Algebra? Find out now by downloading the Horizon Pre-Algebra Readiness Test today! | 677.169 | 1 |
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KIP:ALG W/TRIG. FOR COLLEGE STU.4E
Summary
This text, written by best-selling developmental mathematics author Pat McKeague, features a more streamlined review of elementary algebra, allowing for earlier coverage of intermediate topics. An early introduction to graphing presents the foundation for a wide variety of graphing problems throughout the text. Early coverage of functions helps students feel comfortable with the many examples and graphs of functions that occur in later chapters. The first ten chapters of this book cove the topics usually found in a college-level algebra course. The last three chapters cover the essential topics from trigonometry. Optional technology sections and integrated throughout text as a way for students to better understand the material being discussed. | 677.169 | 1 |
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Now students can bring home the classroom expertise of McGraw-Hill to help them sharpen their math skills!
McGraw-Hill's Math Grade 7"You Know It!" features reinforce mastery of learned skills before introducing new material
"Reality Check" features link skills to real-world applications
"Find Out About It" features lead students to explore other media
"World of Words" features promote language acquisition
Discover more inside:
A week-by-week summer study plan to be used as a "summer bridge" learning and reinforcement program
Each lesson ends with self-assessment that includes items reviewing concepts taught in previous lessons far too many incorrect answers in the back of the book and, in at least once case, misnumbered problems that don't match up with the back of the book. Frustrating, particularly when trying to figure out why something was "wrong" that really wasn't. I'm tempted to write McGraw-Hill, but it's easier to just not buy any more of its workbooks.
Our daughter's school recommended this for a robust summer Programme. We used a tutor, and she was impressed with the book as well. Whether for prep or review, I highly recommend it! BTW-our daughter does too!
This Manual is great for parent(grandparent) summer tutorial with a student entering 8th grade. Found tear out feature good. The word problem selections ,with increasing degree of complexity just fine for a days session. | 677.169 | 1 |
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CK-12's Algebra I Second Edition is a clear presentation of algebra for the high school student. Topics include: Equations and Functions, Real Numbers, Equations of Lines, Solving Systems of Equations and Quadratic Equations.Original source of files at ck12.org Archived at unglue.it Topics: algebra, mathematics, textbook
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Fundamentals of Physics is a calculus-based physics textbook by David Halliday, Robert Resnick, and Jearl Walker. The textbook is currently in its tenth edition (published 2013) and is published in a five-volume set. The current version is a revised version of the original textbook Physics by Halliday and Resnick, first published in 1960. It is widely used in colleges as part of the undergraduate physics courses, and has been well known to science and engineering students for decades as... favoritefavoritefavoritefavoritefavorite ( 1 reviews ) Topics: Physics, Problems, Textbook
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Think Stats is an introduction to Probability and Statistics for Python programmers.Think Stats emphasizes simple techniques you can use to explore real data sets and answer interesting questions. The book presents a case study using data from the National Institutes of Health. Readers are encouraged to work on a project with real datasets.If you have basic skills in Python, you can use them to learn concepts in probability and statistics. Think Stats is based on a Python library for... Topics: Python, statistics, textbook
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A copy of preserved here for posterity.This is of particular importance to Hindus, since it shows a conflict with Indologists.Related sites: Topics: hindu, textbook, california
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FUNDAMENTALS OF ANIMAL SCIENCE is the ideal research-based book for college students. This book provides comprehensive and balanced coverage of the key topics of animal science for both companion and production animals. FUNDAMENTALS OF ANIMAL SCIENCE fosters classroom discussion and facilitates learning by presenting related societal issues for review. Fundamentals of Animal Science include side bar definitions, multiple review questions, and illustrations that will help readers to better... Topics: animal, science, textbook
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Old textbook of physics in Romanian (1895). The book has interesting scientific terms newly introduced in the language in their old but original orthography (spelling). Topics: physics, textbook, Romanian
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Calculus-Based Physics I is volume I of a free on-line two-volume introductory physics textbook available in both pdf and editable word processor document form. Calculus-Based Physics I is also available from LuLu.com as a black-and-white paperback book at the cost of production plus shipping. Ancillary materials provided at the Calculus-Based Physics web site include conceptual physics question slides, on-line quizzes with extensive... Topic: calculus-based, physics, textbook
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This document addresses the complex issues surrounding the production, selection, and use of textbooks in the context of the current educational reform movement. The first section discusses the need for textbook reform, examining the problems associated with their content, presentation, and supplementary materials. The second section discusses the difficulties attendant upon improving textbooks, since no one group has sole responsibility for improving instructional materials. Included is a... Topics: ERIC Archive, Costs, Educational Economics, Elementary Secondary Education, Evaluation Criteria,...
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This booklet addresses the question of what is wrong with textbooks and then shows how textbooks can be improved through the selection process. A conceptual scheme is proposed as the basis of the selection process. Specific attributes and features to look for when selecting textbooks, based on this conceptual scheme, are discussed. Five categories of selection criteria are discussed: (1) needs analysis; (2) subject-matter content; (3) social content; (4) readability; and (5) instructional... Topics: ERIC Archive, Elementary Secondary Education, Instructional Design, Textbook Content, Textbook...
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In the fall of 1984, the Education Commission of the States (ECS) was awarded a grant from the U.S. Secretary of Education's Discretionary Fund to identify alternative state roles for improving instructional materials in mathematics. To help state leaders define an appropriate and effective role in upgrading these materials, ECS proposed first to identify the complex problems surrounding the development and adoption of materials and then to suggest new ways for state leaders to work with other... Topics: ERIC Archive, Instructional Materials, Mathematics Education, Surveys, Teaching Methods, Textbook...
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Old textbook of physics in Romanian (1895). The book has interesting scientific terms newly introduced in Romanian language in their original orthography (spelling). Topics: fizica, physics, textbook, manual, Romanian
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The California State Board of Education is responsible for adopting textbooks and instructional materials for use in kindergarten through grade eight. The purposes of the instructional materials program are to: (1) establish clear standards for the educational and social content of texbooks and instructional materials; (2) evaluate instructional materials for adoption using established standards; (3) provide for the centralized administration of the adoption process; (4) allow for flexibility... Topics: ERIC Archive, Elementary Secondary Education, Evaluation Criteria, Instructional Materials, State... | 677.169 | 1 |
McGraw -Hill's Top 50 Math Skills for GED May have some shelf-wear due to normal use but item is clean and all pages are intact.
Seattle Goodwill
WA, USA
$633About the Book
Math skills can often be the difference between passing the GED on your first try and disappointment. But it is often hard to pinpoint those areas that you still need to master.
Let McGraw-Hill's Top 50 Math Skills for GED Success give you everything you need to ace the math questions on GED test day. Written by two experts who have years of experience with the GED, this easy-to-use book features: A pretest designed to identify your weaknesses in those math areas the GED traditionally focuses on Two-page lessons that increase your knowledge in 50 essential skills so that they become your strengths Detailed guidance on using a calculator and making estimations A full answer key with helpful explanations
Don't take chances with the GED. Brush up on the knowledge you need to know now with McGraw-Hill's Top 50 Math Skills for GED Success.
[BOX]
How to use this book to quickly--and dramatically--improve your GED math skills: 1. Take the pretest to determine where you most need help. 2.Study the two-page lesson on each skill that gave you problems. 3.Take the posttest under timed, testlike conditions. 4.Do it again, focusing only on the areas still giving you trouble. 5.PASS THE GED! | 677.169 | 1 |
The main goal of this project is to improve student understanding of the geometric nature of multivariable calculus concepts,...
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The main goal of this project is to improve student understanding of the geometric nature of multivariable calculus concepts, i.e., to help them develop accurate geometric intuition about multivariable calculus concepts and the various relationships among them.To accomplish this goal, the project includes four parts:· Creating a Multivariable Calculus Visualization applet using Java and publishing it on a website: web.monroecc.edu/calcNSF· Creating a series of focused applets that demonstrate and explore particular 3D calculus concepts in a more dedicated way.· Developing a series of guided exploration/assessments to be used by students to explore calculus concepts visually on their own.· Dissemination of these materials through presentations and poster sessions at math conferences and through other publications.Intellectual Merit: This project provides dynamic visualization tools that enhance the teaching and learning of multivariable calculus. The visualization applets can be used in a number of ways:- Instructors can use them to visually demonstrate concepts and verify results during lectures.- Students can use them to explore the concepts visually outside of class, either using a guided activity or on their own.- Instructors can use the main applet (CalcPlot3D) to create colorful graphs for visual aids (color overheads), worksheets, notes/handouts, or tests. 3D graphs or 2D contour plots can be copied from the applet and pasted into a word processor like Microsoft Word.- Instructors will be able to use CalcPlot3D to create lecture demonstrations containing particular functions they specify and/or guided explorations for their own students using a scripting feature that is being integrated with this applet.The guided activities created for this project will provide a means for instructors to get their students to use these applets to actively explore and "play" with the calculus concepts.Paul Seeburger, the Principal Investigator (PI) for this grant project, has a lot of experience developing applets to bring calculus concepts to life. He has created 100+ Java applets supporting 5 major calculus textbooks (Anton, Thomas, Varberg, Salas, Hughes-Hallett). These applets essentially make textbook figures come to life. See examples of these applets at Impacts: This project will provide reliable visualization tools for educators to use to enhance their teaching in calculus and also in various Physics/Engineering classes. It is designed to promote student exploration and discovery, providing a way to truly "see" how the concepts work in motion and living color. The applets and support materials will be published and widely disseminated through the web and conference Multivariable Calculus to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Exploring Multivariable Calculus
Select this link to open drop down to add material Exploring Multivariable Calculus to your Bookmark Collection or Course ePortfolio
This website is a project by Marc Renault, supported by Shippensburg University. The goal is to make a complete library of...
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This website is a project by Marc Renault, supported by Shippensburg University. The goal is to make a complete library of Geogebra applets for Calculus I that are suitable for in-class demonstrations and/or student exploration Geogebra Calculus Applets to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Geogebra Calculus Applets
Select this link to open drop down to add material Geogebra Calculus Applets to your Bookmark Collection or Course ePortfolio
The readings on this web site were designed as part of the IT Multivariable Calculus and Vector Analysis course at the...
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The readings on this web site were designed as part of the IT Multivariable Calculus and Vector Analysis course at the University of Minnesota. Students in this course are expected to read some of these documents (those marked with an asterisk * in the lecture list) before attending the lecture on the topic. The intent was to allow lecturers in the course spend more lecture time helping students understand and apply the material and less time on simply presenting the theory.The remaining pages are a loosely organized collection of lecture notes, example problems, and other resources for students in the course. As no effort has been made to turn this into a comprehensive source of information on multivariable calculus and vector analysis, the coverage of different topics is uneven, with some important topics (such as Lagrange multipliers) missing altogether. Moreover, some of the readings not marked by asterisks assume content that is presented in lecture and not in the online readings. Nonetheless, I hope that what is available will be helpful for those trying to learn multivariable calculus and vector analysis.One can view these readings more like a lecture than a textbook. They are not a replacement of a mathematics textbook because they don't cover all the theoretical details behind the main ideas. For the same reason, they should be easier to understand than a textbook. Many of the readings contain interactive graphics that I term concept visualization tools (or CVTsivariable Calculus and Vector Analysis Readings to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Multivariable Calculus and Vector Analysis Readings
Select this link to open drop down to add material Multivariable Calculus and Vector Analysis Readings Mathematics Textbooks to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Online Mathematics Textbooks
Select this link to open drop down to add material Online Mathematics Textbooks to your Bookmark Collection or Course ePortfolio | 677.169 | 1 |
Details about Algebra and Trigonometry and Their Applications:
This textbook presents the teaching of algebra and trigonometry from a traditional, deductive point of view, while making connections to other fields by using applications as examples for applying concepts. The text emphasizes technology as a tool to support mathematical discussions. It includes real applications to the fields that are studied, motivating students and connecting what they learn with everyday life. Even and odd numbered exercises are paired in difficulty at the end of each section, providing the instructor with flexibility when assigning homework. | 677.169 | 1 |
First off, study the question to find out what regions of mathematics you are likely to be using. In many cases, it's probable that you have just (i.e. mere hours ago) covered this topic in class or in lectures, so if you a) have them available and b) are allowed to (i.e. not an examination), dig out your notes or textbooks on these regions and have them open and available in front of you. If you think the problem relates to an area you've never encountered before, but you're still expected to solve it, then a trip to the library might be in order, or you could consult a teacher/tutor/lecturer for guidance.
If you're not already sufficiently conversant with the subject matter to understand the problem you've been given, then study your notes until you are.
Consult all your sources for similar-looking problems that you may have already covered. With textbooks and worked examples at your disposal, you should now have a kind of "toolbox" of skills and techniques which you can use to attack the problem.
Read the question properly, analysing it for data. Write out this data (not simply the question itself) in a format you can understand, possibly a diagram. (People who are better with whatever is the more creative side of the brain may find it much easier to comprehend a problem in diagrammatic form.) This will simplify the question and possibly allow it to congeal into some kind of comprehensible form in your head. Make sure you do this bit carefully: write down the wrong data, and your effort is doomed from the start!
Find out exactly what the question is asking for and write down this piece of information too. Sometimes it will simply be a "show that:" question, where the answer is given you and you just have to prove it correct, but sometimes the answer is an unknown. If not explicitly stated in the question, you may have to invent a name for this unknown.
Study the data for familiar patterns and/or "chinks" where you may be able to apply the tools you have learned.
Figure out a way, using the tools and methods you have at your disposal, to navigate from the data you HAVE to the answer you REQUIRE. In most circumstances, there will usually be a clear (or at least logical) route through this maze, in steps that individually should make sense to you. However, sometimes a problem will require a little more than this: a flash of inspiration, a leap of deduction that you probably weren't taught about. There is no foolproof, easy way to spot these kinds of tricks - it's more down to practice and natural talent.
Do not make unnecessary stops on the way. Though this question may look exactly like one you may have encountered before, the answer it's looking for may be very different (and that can mean easier OR harder to find). Try not to end up solving for variables that you really don't need. I slip over this kind of stuff all the time.
If there is no obvious route from the data you have to the data you want, then just try to "widen the hole" a little. Attack the problem anyway, seeing if you can get it to yield a little more data about itself. This extra data may be enough.
If the question allows, then you can work on the answer using the same methods. This way, you can work to bridge the gap between question and answer from both directions, hoping to meet in the middle. Sometimes, working backwards from the answer is actually infinitely easier than the usual method; if you're cunning, you can spot this right from the start.
Finally, remember: you are not in this alone, and there is always, ALWAYS, someone out there who is better than you at whatever you are doing (with one exception, you know who you are). These people are willing to help you and a small minority, many of whom can be found on E2, might prove to be actually helpful. So if you get irrevocably stuck, ask for help. Compare notes with others who are stuck with the same problem. Don't let them grind you down, daylog your pain. And remember that, as long as you put in lots of effort, it's okay to write "I couldn't do this question" as your answer sometimes! | 677.169 | 1 |
This thoughtful and well-written introductory text is designed for students at the sophomore level in a variety of majors, including mathematics, computer science, and engineering. The book, now in its fifth edition, is billed by its publisher as "the most widely used textbook in its field." The fourth edition was used at more than 500 institutions in the US, as well as in Canada, Europe, and elsewhere. According to the author, college algebra is the "only explicit prerequisite" to using the book. There is no formal computer science requirement, and the pseudocode used to express algorithms is easily understood.
Although the "big" topics in this text have remained largely constant over five editions, each edition has incorporated incremental improvements and expanded coverage. The first edition (1988) consisted of 10 chapters, covering logic, sets, and functions; algorithms, the integers, and matrices; mathematical reasoning; counting; advanced counting techniques; relations; graphs; trees; Boolean algebra; and modeling computation. This fifth edition contains ten similarly titled chapters, plus a new chapter on discrete probability that pulls together and expands previous coverage of the topic. Comparing the first edition, with its 598 pages (excluding preface, appendices, and other end-of-book material), to this new 787-page edition (excluding comparable pages), demonstrates the significant degree to which topical coverage and supporting material have been expanded.
There is some strategic reorganization of topics in this edition, especially in the first five chapters. Coverage has also been expanded in a number of domains, in particular in those related to logic, methods of proof, and proof strategy, but also in such other areas as sorting algorithms and depth-first and breadth-first search. There is ample material here around which to fashion a one- or two-term course to meet varied student needs. Core material appears in the first chapter, and in various sections of chapters 2 through 9. For courses that require a stronger computer science or mathematics emphasis, the core can be supplemented with optional chapters or sections.
This is a well-crafted book, with a level of abstraction appropriate for a first course in discrete mathematics. Each chapter starts with an overview, and concludes with extensive end-of-chapter material, consisting of key terms and results, review questions, supplementary exercises, computer projects (which require students to write programs with specified input and output), computations and explorations (which use programs previously written), and writing projects (which call for students to write essays using outside sources). All chapters begin at a very accessible level, and carefully build towards more difficult concepts, with a nice balance between the formal and the informal. A wealth of illustrative examples enhances clarity throughout. At the conclusion of each section, there is a set of exercises.
In addition to two appendices (exponential and logarithmic functions, and pseudocode), the end-of-book materials include suggested readings by chapter, with a complete list of references, answers or solutions to odd-numbered exercises, an index of biographies, and a helpful subject index. The book has a "user-friendly" physical appearance that adds to its appeal: definitions and statements of theorems are highlighted with a colored background, and the flyleaves have a list of symbols used in the text printed on them, together with their meanings and page references. The 66 biographies, plus additional historical notes, that appear throughout the text increase its pedagogical effectiveness, and add a human interest component. An added bonus of a fifth edition is the expectation that, by now, most of the small inaccuracies that invariably make their way into any book have been corrected.
The exercises included are a major strength of the book: they are numerous (over 3,500 altogether, including over 600 new exercises); varied in type, from problems that are straightforward and reinforce basic material in the text, to those that develop new concepts beyond the text; and varied by degree of challenge. There is "a special emphasis on new exercises related to logic and proof, including mathematical induction" (p. x).
Extensive ancillaries accompany the text. They include a student solutions guide; an instructor's resource guide with solutions to all even-numbered exercises, a test bank, and other resources; and a software version of the test bank for use on Windows or Macintosh systems. An accompanying well-designed Web site is organized into an "Information Center," an "Instructor Center," and a "Student Center." Resources on the Web site include interactive demonstrations of selected algorithms, self assessments for a number of topics, and chapter-level resources with links to relevant Web sites, extra examples, and additional steps to further clarify key examples and proofs in the text, each keyed by page.
While one can always quibble with an author's decisions about the specifics of topical coverage or emphasis, this is, overall, an excellent text, with an impressive supplemental package. | 677.169 | 1 |
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 54-page guide is divided into four chapters that cover documenting teaching practices, classroom basics, course policies, and discussion sections. Each of these chapters has additional... | 677.169 | 1 |
Objective: This is a first
course in Algebra where students are taught basic algebraic skills, real world
applications of mathematics and problem solving.In class we shall cover most of the chapters 2-4 and 10.
Tests: There will be 3 in class tests, 100
points each, given on Fridays:
June
28th, July 12th and July 26th.
QuizzesA weekly quiz
will also be given on Fridays and will mainly cover questions from the
homework. Each quiz counts 20 points towards your final grade and the best 5
Quizzes are counted.
Final Exam:The final exam is
Friday August 2nd 10:00am-12:00pm and counts 200 points towards your
final grade.
Evaluation:Tests300 points
Quizzes 100
points
Final200 points
Grades:600-540: A
539-480: B
479-420: C
419-360: D
360-000:F
Attendance:8 absenceslead to WF.
W Deadline:July
3rd is the last day to withdraw with grade of W.
DO NOT BE SHY!
Ask questions,
feel free to stop by the office at any time during office hours or make an
appointment to see me. | 677.169 | 1 |
Mathcad BDAE The Mathcad Treasury was developed with an older version of Mathcad and won't recognize the installation of the newer Mathcad. Solution: Manually install the Mathcad Treasury as follows: In the Mathcad directory, locate or create a subdirectory called "Handbook." From the Treasury CD, copy the folder named Treasury and the file named treasury.hbk and paste them into your Mathcad \Handbook directory. Once you've done so, you can open the book from within Mathcad by going to Help/Ebooks/Treasury. Handbooks Mathcad Windows 95 2000 en Installation | 677.169 | 1 |
The ASVAB is a multiple choice test and is broken down into eight areas. Each section has its own score, and are combined to come up with your composite score. Take advantage of our free videos to help you prepare for your ASVAB exam. #asvab #mometrix
Finding the right ASVAB Math Tips to prep for the ASVAB is essential. These ASVAB Test Answers are merely an introduction to the vast amount of ASVAB Studying Practice contained in our ASVAB Study Guide. #asvab #mometrix
Here is a video that helps you learn more about the math basics that are included on the ASVAB exam. #asvab #mometrix
Trigonometry Laws & Identities #school. my teacher: you have a strong back ground in math who'd you have for math? LOL. I took calculus in high school -___- . sigh, I took math 151 because it was the only math really required for nursing school. so just to cover by bases, even though I tested out of it... I took it. I thought hey, free A. Big mistake -___- switching the overall focus means taking all the other math classes. I hate math, even if I have a "strong background" in it. #medschoolprobsAlgebra foldable Extra example with solving for y=
slope foldable for interactive notebook
Algebra foldable- so they won't forget.
Algebra foldable of equation of a line
Algebra foldable slope intercept form
Algebra foldable
Math foldable
This program is guaranteed to spark interest in trigonometry by illustrating the exciting, dynamic ways in which it is applied. Dramatic footage looks at problem situations that arise in areas such as navigation, architecture, astronomy, automotive engineering, ballistics, and more. As the problems are discussed, clear and vivid graphics are used to help students fully understand the properties of trigonometric functions that come into play.
This activity is intended to help students bridge the gap between the graphing of rational functions encountered in Algebra 2 and the level of analysis expected in precalculus and calculus. (I use it in my AP Calculus courses.) Using graphical representations to investigate one-sided limits and types of discontinuity leads to a better understanding of continuity. *Form B of this activity can be used to reinforce these concepts or as an assessment.
sim.
(Sim.) * * IT'S TRUE THAT THE EARTH ROTATES, BUT SCIENTISTS ARE ALWAYS PUTTING THEIR OWN SPIN ON IT.
Words of Wisdom found in Math Formulas | Things for Geeks... is it bad I want one of these as a tattoo?
Words of Wisdom found in Math Formulas | Things for #Geeks #geek #math #science ...I need a kids alphabet book of all science terms.
Words of Wisdom found in #Math Formulas - #science...the faster you move the heavier you get...hahahaha! i'm staying on the couch. Thank you, science xD
Physics equations - in case you care about physics and understand those funny symbols | 677.169 | 1 |
This book contains basic material on intersection cohomology, modular cycles and automorphic forms from the classical and adèlic points of view. Award winning monograph of the 2011 Ferran Sunyer i Balaguer Prize competition. more...
?This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to June of 2009 at the Fields Institute. Five of the six contributions consist of notes from graduate courses associated with the program: Felipe Cano on a new proof of resolution of singularities for planar analytic... more...
If you've ever taken a graduate statistics course and discovered that you've forgotten how to divide a fraction or turn a fraction into a percentage, then this handy guide to mathematics is for you. Each topic is provided with a definition, explanation, and examples of how to solve a particular problem using the topic's technique. With ample cross-referencing,... more...
Automorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry. They played for example a vital role in Andrew Wiles's proof of Fermat's Last Theorem. This text provides a concise introduction to the world of automorphic forms using two approaches: the classic elementary theory and the modern point... more...
Originally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience. Aimed at students... more...
This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated,... more...
An accessible text introducing algebraic geometries and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic groups from first principles.Building on the background material from algebraic geometry and algebraic groups,... more...
Presented in an easy-to-follow, step-by-step tutorial format, Puppet 3.0 Beginner?s Guide will lead you through the basics of setting up your Puppet server with plenty of screenshots and real-world solutions.This book is written for system administrators and developers, and anyone else who needs to manage computer systems. You will need to be able... more... | 677.169 | 1 |
Synopses & Reviews
Publisher Comments
Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating insights for the classroom teacher and integrates illustrations from a wide variety of applications with an enjoyable text to help bring the concepts alive and make them understandable to the average reader. This book will have a tremendous impact upon teachers, students, and the mathematics education of the general public. With the forthcoming companion materials, including four books on strategic classroom activities and lessons with interactive computer software, this package will be unparalleled.
Synopsis
Published in cooperation with the National Council of Teachers of Mathematics, this text is based on lectures given to various communities of teachers and students. Written especially for teachers and intended for classroom use at high school and college levels, the book also can be used for independent study. | 677.169 | 1 |
First Course in Mathematical Modeling
9780495011590
ISBN:
0495011592
Edition: 4 Pub Date: 2008 Publisher: Cengage Learning
Summary: Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 4th Edition delivers an excellent balance of theory and practice, and gives you relevant, hands-on experience developing and sharpening your modeling skills. Throughout, the book emphasizes key facets of modeling, including creative and empirical model construction, model analysis, and model research, and provides m...yriad opportunities for practice. The authors apply a proven six-step problem-solving process to enhance your problem-solving capabilities -- whatever your level. In addition, rather than simply emphasizing the calculation step, the authors first help you learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving you in the mathematical process as early as possible -- beginning with short projects -- this text facilitates your progressive development and confidence in mathematics and modeling.
Giordano is the author of First Course in Mathematical Modeling, published 2008 under ISBN 9780495011590 and 0495011592. One hundred fifty two First Course in Mathematical Modeling textbooks are available for sale on ValoreBooks.com, six used from the cheapest price of $122.82, or buy new starting at $266.80 | 677.169 | 1 |
Practice makes perfect! Get perfect with a thousand and one practice problems! 1,001 Geometry Practice Problems For Dummies gives you 1,001 opportunities to practice solving problems that deal with core geometry topics, such as points, lines, angles, and planes, as well as area and volume of shapes. You'll also find practice problems on more... more...
This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties... more...
This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied problems in mathematics and physics, summarizing the findings of roughly the last hundred years. The central sections cover the classical building blocks of hyperbolic Lobachevsky geometry, pseudo spherical surfaces... more...
This volume presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry. It includes plentiful illustrations and exercises in support of the thoroughly worked-out proofs. The author's emphasis on the connections between Euclidean and non-Euclidean geometry unifies the range of topics covered. The text opens with... more...
Presenting state-of-the-art research in a highly applicable field, this collection features papers by leading scientists combining these two methodologies, in honor of the groundbreaking work of Andrei Agrachev. It includes a chapter on open problems. more...
A Programmer's Geometry provides a guide in programming geometric shapes. The book presents formulas and examples of computer representation and coding of geometry. Each of the nine chapters of the text deals with the representation and solution of a specific geometrical problem, such as areas, vectors, and volumes. The last chapter provides a brief... more...
Geometric Transformations, Volume 2: Projective Transformations focuses on collinearity-preserving transformations of the projective plane. The book first offers information on projective transformations, as well as the concept of a projective plane, definition of a projective mapping, fundamental theorems on projective transformations, cross ratio,... more...
Generalized Functions, Volume 5: Integral Geometry and Representation Theory is devoted to the theory of representations, focusing on the group of two-dimensional complex matrices of determinant one. This book emphasizes that the theory of representations is a good example of the use of algebraic and geometric methods in functional analysis, in which... more... | 677.169 | 1 |
Elementary and Intermediate Algebra A Combined Course
9780495108511
ISBN:
0495108510
Edition: 3 Pub Date: 2007 Publisher: Thomson Learning
Summary: Algebra is accessible and engaging with this popular text from Charles "Pat" McKeague! ELEMENTARY AND INTERMEDIATE ALGEBRA is infused with McKeague's passion for teaching mathematics. With years of classroom experience, he knows how to write in a way that you will understand and appreciate. McKeague's attention to detail and exceptionally clear writing style help you to move through each new concept with ease. Real-w...orld applications in every chapter of this user-friendly book highlight the relevance of what you are learning. And studying is easier than ever with the book's multimedia learning resources, including ThomsonNOW for ELEMENTARY AND INTERMEDIATE ALGEBRA, a personalized online learning companion.
McKeague, Charles P. is the author of Elementary and Intermediate Algebra A Combined Course, published 2007 under ISBN 9780495108511 and 0495108510. Six Elementary and Intermediate Algebra A Combined Course textbooks are available for sale on ValoreBooks.com, and five used from the cheapest price of $0.48 | 677.169 | 1 |
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Discrete Mathematics Study Materials
Discrete Mathematics
Lectures Ppt
Click on the blue colored links to download the lectures.
Course Description
This course covered the mathematical topics most directly related to computer science. Topics included: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, graph theory, combinatorics, discrete probability, recursion, recurrence relations, and number theory. Emphasis will be placed on providing a context for the application of the mathematics within computer science. The analysis of algorithms requires the ability to count the number of operations in an algorithm. Recursive algorithms in particular depend on the solution to a recurrence equation, and a proof of correctness by mathematical induction. The design of a digital circuit requires the knowledge of Boolean algebra. Software engineering uses sets, graphs, trees and other data structures. Number theory is at the heart of secure messaging systems and cryptography. Logic is used in AI research in theorem proving and in database query systems. Proofs by induction and the more general notions of mathematical proof are ubiquitous in theory of computation, compiler design and formal grammars. Probabilistic notions crop up in architectural trade-offs in hardware design.
Lecture 1:What kinds of problems are solved in discrete math?What are proofs? Examples of proofs by contradiction, and proofs by induction:Triangle numbers, irrational numbers, and prime numbers. (3.1-3.2) | 677.169 | 1 |
Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more | 677.169 | 1 |
Calculus (2,317 Books)
Calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education. It has two major branches, differential calculus and integral calculus, which are related by the fundamental theorem of calculus.
By: Gerald Teschl
Description: The aim of this book is to give a self contained introduction to the field of ordinary differential equations with emphasis on the dynamical systems point of view while still keeping an eye on classical tools as pointed out before. Covered topics are: Newton�s equations, Classification of differential equations, First order autonomous equations, Qualitative analysis of first order equations, Initial value problems, Linear equations, Differential equations in... | 677.169 | 1 |
Students will extend their algebraic skills to compute with rational expressions and rational exponents. Students will work with and build an understanding of complex numbers and systems of equations and inequalities. Students will analyze statistical data and apply concepts of probability using permutations and combinations. | 677.169 | 1 |
Calculator Policy
Exam Day 2016
Exam Resources
The use of a graphing calculator is considered an integral part of the AP Calculus course, and is permissible on parts of the AP Calculus Exams. Students should use this technology on a regular basis so that they become adept at using their graphing calculators. Students should also have experience with the basic paper-and-pencil techniques of calculus and be able to apply them when technological tools are unavailable or inappropriate.
Graphing Calculator Capabilities for the Exams
The committee develops exams based on the assumption that all students have access to four basic calculator capabilities used extensively in calculus. A graphing calculator appropriate for use on the exams is expected to have the built-in capability to:
Plot the graph of a function within an arbitrary viewing window
Find the zeros of functions (solve equations numerically)
Numerically calculate the derivative of a function
Numerically calculate the value of a definite integral
One or more of these capabilities should provide the sufficient computational tools for successful development of a solution to any exam question that requires the use of a calculator. Care is taken to ensure that the exam questions do not favor students who use graphing calculators with more extensive built-in features.
2014–15 List of Graphing Calculators
Graphing calculators having the expected built-in capabilities listed above are indicated with an asterisk (*). However, students may bring any calculator on the list to the exam; any model within each series is acceptable.
† The use of the stylus is not permitted. Note: This list is current as of November 2014; other allowable machines will be added as necessary.
Technology Restrictions on the Exams
You are not permitted to use these items on the AP Calculus Exams: nongraphing scientific calculators, portable and handheld computers, laptops, electronic writing pads, pocket organizers.
Additionally, you cannot use any graphing calculator models with these features or capabilities: QWERTY (typewriter-like) keypad as part of hardware or software (e.g., TI-92 Plus, Voyage 200); pen-input, stylus or touch-screen (e.g., PalmPilot, personal digital assistant, Casio ClassPad); wireless or Bluetooth capabilities; paper tapes; talk or make noise; require an electrical outlet; have cell phone, audio, or video recording capability; can access the Internet; or camera or scanning capability. Also, the use of hardware peripherals with an approved calculator is prohibited.
Proctors are required to check calculators before the exam. Therefore, it is important for each student to have an approved calculator. Students should be thoroughly familiar with the operation of the calculators they plan to use on the exam. Calculators may not be shared, and communication between calculators is prohibited during the exam. Students may bring to the exam one or two (but no more than two) graphing calculators from the current List of Graphing Calculators.
Calculator memories will not be cleared. Students are allowed to bring to the exam calculators containing whatever programs they want. Students must not use calculator memories to take test materials out of the room. Students that attempt to remove test materials from the room by any method will have their exam grades invalidated.
Showing Work on the Free-Response Sections of the Exams
Students are expected to show enough of their work for Readers to follow their line of reasoning. To obtain full credit for the solution to a free-response problem, students must communicate their methods and conclusions clearly. Answers should show enough work so that the reasoning process can be followed throughout the solution. This is particularly important for assessing partial credit. Students may also be asked to use complete sentences to explain their methods or the reasonableness of their answers, or to interpret their results.
For results obtained using one of the four required calculator capabilities listed above, students are required to write the setup (e.g., the equation being solved, or the derivative or definite integral being evaluated) that leads to the solution, along with the result produced by the calculator. For example, if the student is asked to find the area of a region, the student is expected to show a definite integral (i.e., the setup) and the answer. The student need not compute the antiderivative; the calculator may be used to calculate the value of the definite integral without further explanation. For solutions obtained using a calculator capability other than one of the four required ones, students must also show the mathematical steps that lead to the answer; a calculator result is not sufficient. For example, if the student is asked to find a relative minimum value of a function, the student is expected to use calculus and show the mathematical steps that lead to the answer. It is not sufficient to graph the function or use a built-in minimum folder.
When a student is asked to justify an answer, the justification must include mathematical reasons, not merely calculator results. Functions, graphs, tables, or other objects that are used in a justification should be clearly identified.
Exploration Versus Mathematical Solution
A graphing calculator is a powerful tool for exploration, but students must be cautioned that exploration is not a mathematical solution. Exploration with a graphing calculator can lead a student toward an analytical solution, and after a solution is found, a graphing calculator can often be used to check the reasonableness of the solution.
Note: As on previous AP Calculus Exams, a decimal answer must be correct to three decimal places unless otherwise indicated. Students should be cautioned against rounding values in intermediate steps before a final calculation is made. Students should also be aware that there are limitations inherent in graphing calculator technology; for example, answers obtained by tracing along a graph to find roots or points of intersection might not produce the required accuracy. | 677.169 | 1 |
Tiles- NLVM to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Algebra Tiles- NLVM
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Highlights of Calculus is a series of short videos that introduces the basic ideas of calculus — how it works and why it is...
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Highlights of Calculus is a series of short videos that introduces the basic ideas of calculus — how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.In addition to the videos, there are summary slides and practice problems complete with an audio narration by Professor Strang. You can find these resources to the right of each video.This resource is also available on Highlights for High School.About the InstructorProfessor Gilbert Strang is a renowned mathematics professor who has taught at MIT since 1962. Read more about Prof. StrangAcknowledgementsSpecial thanks to Professor J.C. Nave for his help and advice on the development and recording of this program.The video editing was funded by the Lord Foundation of Massachusetts to your Bookmark Collection or Course ePortfolio
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Calculus students are presented with a write-pair-share activity that initially involves the construction of a model based on...
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Calculus students are presented with a write-pair-share activity that initially involves the construction of a model based on direct variation and later involves the use of calculus as a means by which to analyze the model. Suitable for either Calculus I or Calculus II students. Note: This project has a sequel entitled Fundamental Theorem of Calculus: An Investigation (listed under Interactive Lectures) in which the Fundamental Theorem of Calculus is investigated via the constructed of the Dinner Table: Mathematical Modeling to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Calculus of the Dinner Table: Mathematical Modeling
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This website is intended to provide extra learning resources in algebra for middle school and high school students. The...
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This website is intended to provide extra learning resources in algebra for middle school and high school students. The approach is to teach math concepts in basic terms using examples and diagrams, if necessary ChiliMath - Algebra Lessons to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material ChiliMath - Algebra Lessons
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This is a collection of activities for use in precalculus and single variable calculus. It is prefaced by a brief summary of...
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This is a collection of activities for use in precalculus and single variable calculus. It is prefaced by a brief summary of what I know about group learning and how I use the activities. Many activities are quick combinations of discovery and practice. The statistics gets a bit lengthy, but I thought I'd include it anyway. As far as I recall, my text is only mentioned once and this posting should not be considered a commercial. Use the activities any way you want Activities for Calculus to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Classroom Activities for Calculus
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The CCP includes modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems...
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The CCP includes modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems such as Maple, Mathematica, MatLab and MathCad. The single-topic units can be used for a two-hour lab, or for a shorter supervised period with follow-up on the student's own time, or for self-study. Modules are organized into areas of precalculus, differential calculus, integral calculus, multivariable calculus, linear algebra, differential equations and engineering mathematics. Applications include those in biology, chemistry, physics, engineering, economics and Connected Curriculum Project - Materials for Precalculus to your Bookmark Collection or Course ePortfolio
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This module is a part of the Saint Louis University collection of Calculus applets. The site contains an applet that is...
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This module is a part of the Saint Louis University collection of Calculus applets. The site contains an applet that is designed to show how the graph of a function in two variables can be constructed from the cross sections, which are each graphs of one variable Section Applet to your Bookmark Collection or Course ePortfolio
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״Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that...
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״Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my "class notes", they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations.I've tried to make these notes as self contained as possible and so all the information needed to read through them is either from a Calculus or Algebra class or contained in other sections of the notes Differential Equations to your Bookmark Collection or Course ePortfolio
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This applet is a sub-site of the Math Applets for Calculus at SLU site. This applet is designed for the visual exploration of...
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This applet is a sub-site of the Math Applets for Calculus at SLU site. This applet is designed for the visual exploration of functions defined as a sum over k of terms in x. The user can also enter and plot another function: for example, the limit function of the series when it can be expressed in closed form Defined by Series to your Bookmark Collection or Course ePortfolio
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Calculus students are presented with a write-pair-share activity that leads them to a practical understanding of the...
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Calculus students are presented with a write-pair-share activity that leads them to a practical understanding of the Fundamental Theorem of Calculus. The activity involves analyzing a function that describes eating speed in a hypothetical dinner table experience. Suitable for either Calculus I or Calculus II students.Note: This project has a prequel entitled Calculus of the Dinner Table: Mathematical Modeling (listed under Interactive Lectures) in which students construct the mathematical model for the king's eating speed. This prequel provides an excellent and engaging prelude to this Fundamental Theorem of Calculus: An Investigation to your Bookmark Collection or Course ePortfolio
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9780495392767
ISBN:
0495392766
Edition: 5 Pub Date: 2007 Publisher: Cengage Learning
Summary: This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, so that when students finish the course, they have a solid foundation in the principles of mathematical thinking. This comprehensive, evenly paced book provides complete coverage of the function concept and integrates subs...tantial graphing calculator materials that help students develop insight into mathematical ideas. The authors' attention to detail and clarity, as in James Stewart's market-leading Calculus text, is what makes this text the market leader.
James Stewart is the author of Precalculus: Mathematics for Calculus, Enhanced Review Edition, 5th Edition, published 2007 under ISBN 9780495392767 and 0495392766. One hundred eighty eight Precalculus: Mathematics for Calculus, Enhanced Review Edition, 5th Edition textbooks are available for sale on ValoreBooks.com, sixty seven used from the cheapest price of $7.60, or buy new starting at $84.53 | 677.169 | 1 |
Nation's Math Teachers Introduce 27 New Trig FunctionsNation's Math Teachers Introduce 27 New Trig Functions
All Graduating Students Must Master Gamsin, Negtan, Cosvnx, 24 Others
WASHINGTON—Adding to the six basic functions that have for years made up the foundation of trigonometry, the nation's mathematics teachers reportedly introduced 27 new functions today that high schoolers will be expected to master. "While the core of the trigonometry curriculum has traditionally consisted solely of sine, cosine, tangent, secant, cosecant, and cotangent, henceforth we will be including gasmin, negtan, cosvnx, and two dozen others, such as tosna and cotosna, that our pupils will need to have down pat in order to pass," Coolidge Senior High School trig teacher Robert Beckman said on behalf of the nation's math educators, emphasizing that students will be required to have full understanding of tofsin, pomen, cocosine, phyxyx, fotsin, and fostin as they apply to the various properties of equilateral, isosceles, and scalene triangles. "Students will also need to know the corresponding graphs for the functions. For example, drin forms a sort of stepladder going up the X and Y axes, while codrin forms a stepladder going down. I can assure you that all of these are absolutely crucial to understanding basic trigonometry, not to mention a requisite for anyone seeking to graduate and move on to college." Beckman added that factoring will be cut from the math curriculum entirely because it's "annoying and too fucking hard sometimes." | 677.169 | 1 |
A Program of The Actuarial Foundation. Aligned with Common Core State and NCTM Standards.
Program Home Pages
Additional Resources
What is an actuary? An actuary is an expert in statistics who works with businesses, governments, and organizations to help them plan for the future. Actuarial science is the discipline that applies math and statistical methods to assess risk.
Bars, Lines, & Pies!
Welcome to Bars, Lines, & Pies, a dynamic math program designed to build graphing skills in students, while showing them the relevance of math in their lives. Developed by The Actuarial Foundation along with Scholastic, the graphing lessons and activities inside involve engaging, real-world examples about the environment and recycling. We hope you enjoy this great new program!
OBJECTIVE
In the lessons and activities for this unit, students will create, apply, and analyze pie charts, bar graphs, and line graphs. | 677.169 | 1 |
,...
Show More, and homeschoolers. It's written for everyone who lacks the background to teach with confidence and is sick of relying on avoidance strategies. As Robertson sees it, too many people view mathematics as a set of rules to be followed, procedures to memorize, and theorems to apply. This book takes a unique approach by focusing on the reasoning behind the rules, from math basics all the way up to a brief introduction to calculus. Among the questions it covers: Why do you 'carry' numbers when adding? Why do you need a common denominator when adding fractions? (Robertson says you don't, by the way!) What's behind the process of cross-multiplying? Where does the number pi come from? And who in the heck invented those strange formulas for area and volume? As usual, Robertson provides clear explanations, irreverent illustrations, and easy-to-follow activities. But he spares you problem sets to do or tests to take. That's because Math is not so much a book that will help you do math as it is a guide to understanding it conceptually | 677.169 | 1 |
Functions and Graphs resources
Overview of the properties of the functions e and ln and their applications in Economics. This leaflet has been contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Shazia Ahmed (University of Glasgow) and Anthony Cronin (University College Dublin).Computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University. | 677.169 | 1 |
Details about Introductory Algebra:
The Lial series has helped thousands of students succeed in developmental mathematics through its approachable writing style, supportive pedagogy, varied exercise sets, and complete supplements package. With this new edition, the authors continue to provide students and instructors with the best package for learning and teaching support–a book written with student success as its top priority, now with an emphasis on study skills growth. Prealgebra Review; The Real Number System; Equations, Inequalities, and Applications; Graphs of Linear Equations and Inequalities in Two Variables; Systems of Equations and Inequalities; Exponents and Polynomials; Factoring and Applications; Rational Expressions and Applications; Roots and Radicals; Quadratic Equations. For all readers interested in beginning algebra. Note: Paper Bound book with CD
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Rent Introductory Algebra 9th edition today, or search our site for Margaret L. textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Pearson. | 677.169 | 1 |
Geogebra
Geogebra
Article excerpt
GEOGEBRA
http : //www. geogebra. org/cms/
Florida Atlantic University
777 Glades Road, Math Department
Boca Raton, FL 33431
561-297-2485
Free software
One of the more interesting educational aspects of the Internet today is that it can help support various communities of learners who freely share ideas and resources related to a specific educational focus. A particularly interesting community of learners is one centered around a piece of interactive mathematics software called GeoGebra. This software was developed by Markus Hohenwarter in 2001 at the University of Salsburg and is now supported by Florida Atlantic University. A large community of GeoGebra users now contributes instructional ideas and materials to the GeoGebra website using an Internet Wiki, which is a type of website interface that allows users to freely add and edit webpage content. The GeoGebra software itself is a blend of basic geometry, algebra, and calculus tools that are displayed within a dual graphics and text window. The software can be freely downloaded from the GeoGebra website and runs on a variety of platforms, including Windows, Macintosh, Linux, and Unix.
While GeoGebra has a fairly simple set of interactive mathematics tools focused primarily on geometric constructions, it addresses some relatively foundational topics in geometry and algebra. For example, basic constructions involving points, vectors, segments, lines, and conic sections are quite easy to do, as well as graphical illustrations on a variety of functions and functional notations. A dual view of mathematical objects is used, with expressions in the geometry window often corresponding directly to expressions in an algebra window (and vice versa). This GeoGebra dual window is relatively simple in its operations, and uses straightforward construction tools and menus.
Although the GeoGebra software is more basic than other packages that do geometric constructions (such as Geometer's Sketchpad), the price of the program is certainly appealing. As a freely downloadable and open source program, a user can download a single program for use at a workstation or download the program multiple times, such as within a computer laboratory. GeoGebra is partly supported by donations and product sales (such as GeoGebra shirts, hats, and buttons), with no doubt some ongoing help from Florida Atlantic University.
I was relatively impressed with GeoGebra's support materials (especially for a free program), including an extensive online help feature, a 42-page pdf help manual, downloadable "getting started" tutorials, and a variety of detailed lessons that use video-based step-by-step examples. These help features are all very concise, easy to access, and professionally done, with additional suggestions contributed by users. The GeoGebra website describes this collaborative help environment as focusing on "quality versus quantity", and that philosophy appears to be well reflected in this dynamic help environment. … | 677.169 | 1 |
This course familiarizes students with standard mathematics functions. These include polynomial, rational, exponential, logarithmic and trigonometric functions. The course uses a data modeling approach to introduce and to utilize the functions. There is a larger emphasis on incorporating technology and a smaller emphasis on algebraic manipulations of expressions. This course satisfies the General Education Mathematics requirement. This course is a prerequisite for MATH 1124 Precalculus and MATH 2303 Calculus for Business and Social Sciences. Credit will not be given for both MATH 1013 and MATH 1113. Prerequisite: MATH 1003 or placement. Course Rotation: All semesters. GE CORE - INQUIRY & ANALYSIS - MATHEMATICS
For future teachers in grades P-9. Emphasizes mathematical concepts and processes through solving problems. Content includes: concepts of decimals and fractions, number theory, real number system, and numeration systems and bases. Manipulatives, cooperative learning, reflective writing, and available technology will be utilized. Prerequisite: Successful completion of General Education Mathematics requirements. Every Fall and also Spring in odd years.
An introduction to the formal mathematical study of proof through topics that include Boolean algebra, set theory, combinatorics, relations, functions, and graph theory. Prerequisite: MATH 1124 or equivalent. Course rotation: Fall.
10379
MATH
3161
M01
1
Mathematics Education II
T
03:30pm
04:45
Enrollment: 7
Location: FUGITT 106 Inst: Michael Ratliff
An introduction to place-based mathematics, ethomathematics, and the integration of mathematics and social justice issues; and an emphasis on demonstrative mathematics in the school mathematics curriculum. Prerequisites: MATH 2315 and EDUC 1103. Course Rotation: Fall odd years.
The objective of this course is to build an understanding of the definition of percents and the use of proportion in problem solving. Grading: Credit/No Credit. Course Rotation: All Semesters.
10383
MATH
0901
M02
1
Percents & Proportions
TR
12:30pm
01:45
Enrollment: 11
Location: FUGITT 106 Inst: Michael Ratliff
September 25 - November 1
10384
MATH
0911
M01
1
Variables & Equations
TR
09:30am
10:45
Enrollment: 13
Location: FUGITT 106 Inst: Michael Ratliff
The objective of this course is to build an understanding of equations as conditions and the use of variables to generalize. We will work extensively with identifying conditions that may be represented numerically and with solving linear equations. Grading: Credit/No Credit. Course Rotation: All semesters.
10385
MATH
0911
M02
1
Variables & Equations
TR
12:30pm
01:45
Enrollment: 9
Location: FUGITT 106 Inst: Michael Ratliff
November 6 - December 6
10386
MATH
0921
M01
1
Charts
TR
09:30am
10:45
Enrollment: 13
Location: FUGITT 106 Inst: Michael Ratliff
The objective of this course is to build an understanding of reading and presenting graphical information. Grading: Credit/No Credit. Course Rotation: All Semesters.
10387
MATH
0921
M02
1
Charts
TR
12:30pm
01:45
Enrollment: 10
Location: FUGITT 106 Inst: Michael Ratliff
September 4 - December 14
10560
MATH
2021
M01
1
Standardized Tests
M
03:30pm
04:45
Enrollment: 17
Location: FUGITT 106 Inst: Michael Ratliff
FOCUS ON MATERIAL FOR STANDARDIZED TESTS FOR NURSING CALCULATIONS.
This course will help students review for the quantitative portions of the various standardized tests used for entrance into graduate and professional schools. This course may satisfy a portion of the electives in depth for general education. Prerequisite: Satisfied the general education requirement in mathematics. Course Rotation: As needed. | 677.169 | 1 |
An Introduction to Algebra: Being the First Part of a Course of Mathematics (1827)
This book was written for a college student teach him or herself from, receiving any additional assistance when needed. In Great Britain, there were two types of mathematic books: Those that were very thorough on the topics and those that were used to teach beginners. This book was to reflect the way American colleges taught students. As the preface states, this book is to give a student the necessary formulas, but also go beyond the formulas, teaching logic and sound reasoning. It is to teach the student both the practical application of algebra but also give a taste of mathematical studies - pure mathematics. The materials covered in this book would encompass the same material covered in a modern Algebra I and Algebra II book. However, one needs to get through a lot of words to learn the material, unlike books of today with a lot of examples, diagrams, and colors. Handwritten material is found throughout the book, including the front and back covers. | 677.169 | 1 |
"The reader who masters the contents of this book will have had a stimulating intellectual experience, a good basis for understanding the mathematical manipulations of algebra, and an acquaintance with modern mathematical thought."
-- Mathematics Teacher
"This book is addressed to beginning students of mathematics ... the level of the book, however, is so unusually high, mathematically as well as pedagogically, that it merits the attention of professional mathematicians (as well as of professional pedagogues) interested in the wider dissemination of their subject among cultured people ... a closer approximation to the right way to teach mathematics to beginners than anything else now in existence."
-- Bulletin of the AMS
Table of Contents
Sets, Statements, and Variables: Introduction; Sets and their members; Construction of sets; Variables and statement-forms; Functions; Rules of inference and proofs; Beliefs, validity, and sets; Exercises
Cardinal Numbers: Introduction; Standard sets and cardinal numbers; Addition of cardinal numbers; The commutative and associative laws of addition; Multiplication of cardinal numbers; The commutative and associative laws of multiplication; The distributive law; Comments on the five basic laws; Cancellation laws; Special properties of zero and one; The addition and multiplication tables for cardinals; Exercises
Number Systems in General: Introduction; Operations on a set; Commutative and associative operations; Distributive operations; Numbers and number systems; Zero-element and one-element of a number system; Inverses, negatives, and reciprocals; Some remarks about numbers in general; Exercises
Construction of the Integers: Introduction; Definition of integers; Relations among the sets \(I (x, y)\); Definition of addition for integers; The commutative and associative laws for addition of integers; Definition of multiplication for integers; The commutative and associative laws for multiplication of integers; The distributive laws for integers; Relation between cardinals and integers; Isomorphisms; Exercises
Properties of the Integers: Introduction; The generalized laws and expressions; The zero-element and one-element of the integers; The negative of an integer; Standard notation for the integers; The cancellation laws for integers; Expressions over the integers; Subtraction; Exercises
The Rational Number System: Introduction; The set of rational numbers; Addition and multiplication of rationals; One-element, zero-element and negatives; Relation between rationals and integers; Reciprocals; Traditional notation for rationals; Standard forms; Expressions over the rationals; Exercises
Equations: Introduction; Definitions; Classification and solution of equations; Equations in one variable; Equations of the first degree; Quadratic equations; Equations with more than one variable; Simultaneous equations; Additional comments; Exercises
Order: Introduction; Order for the cardinals; Order for the integers; Order in general; Order for the rationals; Exercises
The Real Number System: Introduction; Finite decimals; The rationals as infinite decimals; Repeating decimals; Construction of the real number system; Order properties of the real number system; The reals as an extension of the rationals; Extraction of roots; Exponents; Logarithms; Exercises | 677.169 | 1 |
First Course of Collegiate Mathematics
9780894645921
ISBN:
0894645927
Publisher: Krieger Publishing Company
Summary: Intended for all students in their freshman year of college, this book is organized around eight fundamental mathematical processes: conjecture, logical argumentation, formal demonstration, algorithmic thinking, correspondence, enumeration, limiting processes, and approximation. Topically, the book cuts across several traditional branches of mathematics including algebra, trigonometry, number theory, and analysis. Bo...th formal demonstrations and problem solving with extensive applications to the physical sciences are stressed. Use of the microcomputer as a working tool is also emphasized throughout the book. This text would be useful in courses such as general college mathematics, introduction to mathematical thinking, and pre-calculus.
Dence, Joseph B. is the author of First Course of Collegiate Mathematics, published under ISBN 9780894645921 and 0894645927. One First Course of Collegiate Mathematics textbook is available for sale on ValoreBooks.com, and one used from the cheapest price of $28.19.[read more] | 677.169 | 1 |
I'm having difficulty with my math, fractions and up. I used to understand it all, but it's been so long since I've touched the book (I finished it a couple of months ago, picked it up to review everything), I seem to have forgotten it.
The explanations inside of the individual chapters do no good. They never helped me, and I always resorted to having my older brother helping (who is now away at college), and I can't find any resources online that help at all.
Are there any online tutorials / guides that can help me relearn all this fully, all the way from the basics, up to college level?
I upvoted picakhu's answer and it's probably better than mine. But, this might be helpful still. Not online, but maybe the Art of Problem Solving would be helpful. It is what I am going to use for my children, possibly. There are 8 books starting at algebra and going through calculus. And, the emphasis is on learning problem solving. The books are not that expensive and you can buy a full solutions manual for each one, which is also not expensive.
Actually, AoPS has a ton of online videos corresponding to several of their courses in addition to other valuable resources. They also offer online courses. They are adding elementary school curricula as well.
– user59083Jan 1 '14 at 6:30 | 677.169 | 1 |
This section contains free e-books and guides on Differential Calculus, some of the resources in this section can be viewed online and some of them can be downloaded.
This book emphasis on
systematic presentation and explanation of basic abstract concepts of
differential Calculus. Topics covered includes: Limits, Continuity and
Differentiation of Real Functions of One Real Variable, Differentiation and
Sketching Graphs Using Analysis.
This
book covers the following topics: Ordinary Differential Equations, First Order PDE, Second Order PDE,
Characteristics and Canonical Forms, Characteristics and Discontinuities, PDE in
N-dimensions The Potential Equation, Harmonic Functions, Green's Function,
Consequences of Poisson's Formula The Diffusion Equation, The Wave Equation.
This note explains
the following topics: The Derivative, Techniques of Differentiation, Product and
Quotient Rules; Higher-Order Derivatives, The Chain Rule, Marginal Analysis and
Approximations Using Increments, Implicit Differentiation and Related Rates. | 677.169 | 1 |
'Taking precalculus? Then you need the Wolfram Precalculus Course Assistant. This definitive app for precalculus--from the...
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'Taking precalculus? Then you need the Wolfram Precalculus Course Assistant. This definitive app for precalculus--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn calculus concepts. Forget canned examples! The Wolfram Precalculus Course Assistant solves your specific precalculus problems on the fly, including solving equations, vector arithmetic, statistics, and much more.This app covers the following topics applicable to precalculus and trigonometry:- Evaluate any numeric expression or substitute a value for a variable- Solve a single equation or a system of equations- Plot functions on the x-y plane or draw a parametric or polar plot- Determine the sine, cosine, and tangent of a specific angle in a right triangle- Simplify, expand, or factor trigonometric functions- Find the partial fraction decomposition of an expression- Calculate the dot product, cross product, and magnitude of two vectors- Identify the mean, median, mode, and standard deviation of a set of data- Calculate permutations and combinationsThe Wolfram Precalculus Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and Wolfram Precalculus Course Assistant App for iOS to your Bookmark Collection or Course ePortfolio
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This is a free online textbook designed for the Advanced Algebra instructor. According to the author, he "developed a set of...
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This is a free online textbook designed for the Advanced Algebra instructor. According to the author, he "developed a set of in-class assignments, homework and lesson plans, that work for me and for other people who have tried them. The complete set comprises three separate books that work together:•The Homework and Activities Book contains in-class and homework assignments that are given to the students day-by-day." "•The" target=״_blank״ Concepts Book provides conceptual explanations, and is intended as a reference or review guide for students; it is not used when teaching the class." •The" target=״_blank״ Teacher's Guide provides detailed lesson plans; it is your guide to how the author "envisioned these materials being used when I created them (and how I use them myself) " target=״_blank״ Instructors should note that this book probably contains more information than you will be able to cover in a single school year Algebra II: Activities and Homework to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Advanced Algebra II: Activities and Homework
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Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material An Introduction to Complex Numbers
Select this link to open drop down to add material An Introduction to Complex class deals with the modeling and analysis of queueing systems, with applications in communications, manufacturing,...
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This class deals with the modeling and analysis of queueing systems, with applications in communications, manufacturing, computers, call centers, service industries and transportation. Topics include birth-death processes and simple Markovian queues, networks of queues and product form networks, single and multi-server queues, multi-class queueing networks, fluid models, adversarial queueing networks, heavy-traffic theory and diffusion approximations. The course will cover state of the art results which lead to research opportunities072J / 6.264J Queues: Theory and Applications to your Bookmark Collection or Course ePortfolio
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The course is a comprehensive introduction to the theory, algorithms and applications of integer optimization and is...
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The course is a comprehensive introduction to the theory, algorithms and applications of integer optimization and is organized in four parts: formulations and relaxations, algebra and geometry of integer optimization, algorithms for integer optimization, and extensions of integer optimization083J / 6.859 Integer Programming and Combinatorial Optimization to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material 15.083J / 6.859 Integer Programming and Combinatorial Optimization
Select this link to open drop down to add material 15.083J / 6.859 Integer Programming and Combinatorial084J / 6.252J Nonlinear Programming to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material 15.084J / 6.252J Nonlinear Programming
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This course introduces the principal algorithms for linear, network, discrete, nonlinear, dynamic optimization and optimal...
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This course introduces the principal algorithms for linear, network, discrete, nonlinear, dynamic optimization and optimal control. Emphasis is on methodology and the underlying mathematical structures. Topics include the simplex method, network flow methods, branch and bound and cutting plane methods for discrete optimization, optimality conditions for nonlinear optimization, interior point methods for convex optimization, Newton's method, heuristic methods, and dynamic programming and optimal control methods. This course was also taught as part of the Singapore-MIT Alliance (SMA) programme as course number SMA 5213 (Optimisation MethodsIn keeping with the tradition of the last twenty-some years, the Readings in Optimization seminar will focus on an advanced...
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In keeping with the tradition of the last twenty-some years, the Readings in Optimization seminar will focus on an advanced topic of interest to a portion of the MIT optimization community: randomized methods for deterministic optimization. In contrast to conventional optimization algorithms whose iterates are computed and analyzed deterministically, randomized methods rely on stochastic processes and random number/vector generation as part of the algorithm and/or its analysis. In the seminar, we will study some very recent papers on this topic, many by MIT faculty, as well as some older papers from the existing literature that are only now receiving attention099 Readings in Optimization to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material 15.099 Readings innd Grade Splash Math App for iPad to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material 2nd Grade Splash Math App for iPad
Select this link to open drop down to add material 2nd Grade Splash Math App for iPad to your Bookmark Collection or Course ePortfolio | 677.169 | 1 |
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