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Adult Literacy Fundamentals Mathematics: Book 1
Unrestricted Use
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Rating

: Fundamental mathematics for adult learners. Book 1 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Subject:
Education
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Liz Gerard
Wendy Tagami
Date Added:
10/28/2014
Adult Literacy Fundamentals Mathematics: Book 2
Unrestricted Use
CC BY
Rating

: Fundamental mathematics for adult learners. Book 2 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Subject:
Education
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Liz Gerard
Wendy Tagami
Date Added:
10/28/2014
Adult Literacy Fundamentals Mathematics: Book 3
Unrestricted Use
CC BY
Rating

: Fundamental mathematics for adult learners. Book 3 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Subject:
Education
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Liz Gerard
Wendy Tagami
Date Added:
10/28/2014
Adult Literacy Fundamentals Mathematics: Book 4
Unrestricted Use
CC BY
Rating

: Fundamental mathematics for adult learners. Book 4 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Subject:
Education
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Liz Gerard
Wendy Tagami
Date Added:
10/28/2014
Adult Literacy Fundamentals Mathematics: Book 5
Unrestricted Use
CC BY
Rating

: Fundamental mathematics for adult learners. Book 5 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Subject:
Education
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Liz Gerard
Wendy Tagami
Date Added:
10/28/2014
Adult Literacy Fundamentals Mathematics: Book 6
Unrestricted Use
CC BY
Rating

: Fundamental mathematics for adult learners. Book 6 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

Subject:
Education
Mathematics
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Liz Gerard
Wendy Tagami
Date Added:
10/28/2014
Advanced Analytic Methods in Science and Engineering, Fall 2004
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

A comprehensive treatment of the advanced methods of applied mathematics. Designed to strengthen the mathematical abilities of graduate students and train them to think on their own. Review of elementary methods in complex analysis, ordinary differential equations, and partial differential equations. Expansions around regular and irregular singular points; asymptotic evaluation of integrals, regular perturbations; WKB method; multiple scale method; boundary-layer techniques.

Subject:
Engineering
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Cheng, Hung
Date Added:
01/01/2004
Advanced Topics in Cryptography, Spring 2003
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

Recent results in cryptography and interactive proofs. Lectures by instructor, invited speakers, and students. Alternate years. The topics covered in this course include interactive proofs, zero-knowledge proofs, zero-knowledge proofs of knowledge, non-interactive zero-knowledge proofs, secure protocols, two-party secure computation, multiparty secure computation, and chosen-ciphertext security.

Subject:
Computer Science
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Micali, Silvio
Date Added:
01/01/2003
Analysis II, Fall 2005
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

Continues 18.100, in the direction of manifolds and global analysis. Differentiable maps, inverse and implicit function theorems, n-dimensional Riemann integral, change of variables in multiple integrals, manifolds, differential forms, n-dimensional version of Stokes' theorem. 18.901 helpful but not required.

Subject:
Mathematics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Guillemin, Victor
Date Added:
01/01/2005
Arithmetic for College Students
Read the Fine Print
Rating

This course is an arithmetic course intended for college students, covering whole numbers, fractions, decimals, percents, ratios and proportions, geometry, measurement, statistics, and integers using an integrated geometry and statistics approach. The course uses the late integers model—integers are only introduced at the end of the course.

Subject:
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
David Lippman
Date Added:
03/04/2019
The Art of Counting, Spring 2003
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

The subject of enumerative combinatorics deals with counting the number of elements of a finite set. For instance, the number of ways to write a positive integer n as a sum of positive integers, taking order into account, is 2n-1. We will be concerned primarily with bijective proofs, i.e., showing that two sets have the same number of elements by exhibiting a bijection (one-to-one correspondence) between them. This is a subject which requires little mathematical background to reach the frontiers of current research. Students will therefore have the opportunity to do original research. It might be necessary to limit enrollment.

Subject:
Mathematics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Stanley, Richard
Date Added:
01/01/2003
The Art of the Probable: Literature and Probability, Spring 2008
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

The Art of the Probable" addresses the history of scientific ideas, in particular the emergence and development of mathematical probability. But it is neither meant to be a history of the exact sciences per se nor an annex to, say, the Course 6 curriculum in probability and statistics. Rather, our objective is to focus on the formal, thematic, and rhetorical features that imaginative literature shares with texts in the history of probability. These shared issues include (but are not limited to): the attempt to quantify or otherwise explain the presence of chance, risk, and contingency in everyday life; the deduction of causes for phenomena that are knowable only in their effects; and, above all, the question of what it means to think and act rationally in an uncertain world. Our course therefore aims to broaden students’ appreciation for and understanding of how literature interacts with--both reflecting upon and contributing to--the scientific understanding of the world. We are just as centrally committed to encouraging students to regard imaginative literature as a unique contribution to knowledge in its own right, and to see literary works of art as objects that demand and richly repay close critical analysis. It is our hope that the course will serve students well if they elect to pursue further work in Literature or other discipline in SHASS, and also enrich or complement their understanding of probability and statistics in other scientific and engineering subjects they elect to take.

Subject:
Arts and Humanities
Literature
Philosophy
Religious Studies
Statistics and Probability
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Jackson, Noel
Kibel, Alvin
Raman, Shankar
Date Added:
01/01/2008
Behavior of Algorithms, Spring 2002
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

Study of an area of current interest in theoretical computer science. Topic varies from term to term. This course is a study of Behavior of Algorithms and covers an area of current interest in theoretical computer science. The topics vary from term to term. During this term, we discuss rigorous approaches to explaining the typical performance of algorithms with a focus on the following approaches: smoothed analysis, condition numbers/parametric analysis, and subclassing inputs.

Subject:
Computer Science
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Spielman, Daniel
Date Added:
01/01/2002
Brief Calculus
Unrestricted Use
CC BY
Rating

This short text is designed more for self-study or review than for classroom use; full solutions are given for nearly all the end-of-chapter problems. For a more traditional text designed for classroom use, see Fundamentals of Calculus (http://www.lightandmatter.com/fund/). The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.

Subject:
Mathematics
Calculus
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Benjamin Crowell
Date Added:
10/28/2014
Calculus
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.

In addition to the Textbook, there is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.

Subject:
Mathematics
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Author:
Gilbert Strang
Date Added:
01/01/1991
Calculus - Early Transcendentals
Unrestricted Use
CC BY
Rating

From the MAA review of this book: "The discussions and explanations are succinct and to the point, in a way that pleases mathematicians who don't like calculus books to go on and on."There are eleven chapters beginning with analytic geometry and ending with sequences and series. The book covers the standard material in a one variable calculus course for science and engineering. The size of the book is such that an instructor does not have to skip sections in order to fit the material into the typical course schedule. There are sufficiently many exercises at the end of each sections, but not as many as the much bigger commercial texts. Some students and instructors may want to use something like a Schaum's outline for additional problems.

Subject:
Mathematics
Calculus
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Faculty Reviewed Open Textbooks
Author:
David Guichard
H. Jerome Keisler
Neil Koblitz
Date Added:
10/28/2014
Calculus III
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

The aim of this course is to introduce the concepts in multi-variable calculus which are used very often in physics, engineering, chemistry, computer sciences, and other applied fields.
The course will start with an overview of points, vectors, lines, planes, and curves in three-dimensional space . We will then move on to surfaces in space, their derivatives, maximum and minimum problems. We will see how one can compute surface areas and volumes of the underlying space of a given surface. Towards the end of the course we will study three important theorems in this course: Green’s theorem, Stokes’ Theorem, and Gauss’ Theorem. These theorems have enormous consequences and applications in real life; especially in physics and engineering.

Subject:
Calculus
Material Type:
Full Course
Provider:
CUNY
Provider Set:
New York City College of Technology
Author:
Caner Koca
Date Added:
10/18/2019
Combinatorial Analysis, Fall 2014
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

This course analyzes combinatorial problems and methods for their solution. Topics include: enumeration, generating functions, recurrence relations, construction of bijections, introduction to graph theory, network algorithms, and extremal combinatorics.

Subject:
Mathematics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Richard Stanley
Date Added:
01/01/2014
Combinatorial Optimization, Fall 2003
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

Thorough treatment of linear programming and combinatorial optimization. Topics include network flow, matching theory, matroid optimization, and approximation algorithms for NP-hard problems. 18.310 helpful but not required.

Subject:
Mathematics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Vempala, Santosh S. (Santosh Srinivas)
Date Added:
01/01/2003
Combinatorial Theory: Hyperplane Arrangements, Fall 2004
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

Content varies from year to year. An introduction to some of the major topics of present day combinatorics, in particular enumeration, partially ordered sets, and generating functions. This is a graduate-level course in combinatorial theory. The content varies year to year, according to the interests of the instructor and the students. The topic of this course is hyperplane arrangements, including background material from the theory of posets and matroids.

Subject:
Mathematics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Stanley, Richard
Date Added:
01/01/2004