Calculus

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.

Material Type: Full Course

Author: Gilbert Strang

Calculus in Context

We believe that calculus can be for students what it was for Euler and the Bernoullis: a language and a tool for exploring the whole fabric of science. We also believe that much of the mathematical depth and vitality of calculus lies in connections to other sciences. The mathematical questions that arise are compelling in part because the answers matter to other disciplines. We began our work with a "clean slate," not by asking what parts of the traditional course to include or discard. Our starting points are thus our summary of what calculus is really about. Our curricular goals are what we aim to convey about the subject in the course. Our functional goals describe the attitudes and behaviors we hope our students will adopt in using calculus to approach scientific and mathematical questions.

Material Type: Full Course, Student Guide, Textbook

Authors: David Cox, Donal O'Shea, Harriet Pollatsek, James Callahan, Kenneth Hoffman, Lester Senechal, The Five College Calculus Project

Pre-Calculus

This OER course using a new textbook is based a section of MAT103 Pre-Calculus. It is a preparatory course for Calculus. It builds upon the intermediate level of Algebra and makes intensive use of technology to conceptualize functions and methods of function manipulation with emphasis on quantitative change. All course content written by Fahmil Shah. Added to OER Commons by Victoria Vidal.

Material Type: Full Course

Author: Fahmil Shah

OpenStax Calculus 3

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.

Material Type: Full Course

Khan Academy: Calculus 1

This course covers Limits and Continuity, Derivatives: definition and basic rules; Derivatives: chain rule and other advanced topics; Applications of derivatives; Analyzing Functions; Integrals; Differential equations; and Applications of integrals.

Material Type: Full Course

Author: Khan Academy

OpenStax Calculus 1

This sample shell is produced by the California Community Colleges CVC-OEI to support faculty in the use of Open Educational Resources and development of courses aligned to the OEI Course Design Rubric. The shell may be used for online, hybrid, &/or face-to-face classes. The shell is available for all faculty, not just those faculty in the CCC system. The team producing this shell includes Helen Graves, Liezl Madrona, Cyrus Helf, Nicole Woolley & Barbara Illowsky. If you are having challenges importing the shell, here are some steps to take. (1) Create an empty shell in your sandbox. (2) Import the Canvas Commons course into your shell. (3) Adapt the content as you wish. (4) If all else fails, contact your college IT person or Canvas administrator.

Material Type: Full Course

OpenStax Calculus 2

This sample shell is produced by the California Community Colleges CVC-OEI to support faculty in the use of Open Educational Resources and development of courses aligned to the OEI Course Design Rubric. The shell may be used for online, hybrid, &/or face-to-face classes. The shell is available for all faculty, not just those faculty in the CCC system. The team producing this shell includes Helen Graves, Liezl Madrona, Cyrus Helf, Nicole Woolley & Barbara Illowsky. If you are having challenges importing the shell, here are some steps to take. (1) Create an empty shell in your sandbox. (2) Import the Canvas Commons course into your shell. (3) Adapt the content as you wish. (4) If all else fails, contact your college IT person or Canvas administrator.

Material Type: Full Course

Finite Math

Mathematics

Material Type: Full Course, Textbook

MATH 125C Finite Mathematics

This textbook was prepared as an OER text for MATH 125C Finite Mathematics.  Topics include matrices, linear programming, counting techniques, sets, probability, statistics, mathematics of finance, Markov chains, and game theory. Applications will be emphasized. 

Material Type: Textbook

Author: Valerie LaVoice

Survey of College Math

An examination of a variety of mathematical concepts which focus on solving problems, interpreting data, and applications. This course includes topics such as tables, graphs, basic statistics, geometric measures, and consumer mathematics. This course fulfills the BCC mathematics requirement ONLY for the Criminal Justice, Fire Science, and Human Services programs.

Material Type: Full Course

Author: Annette Guertin

MOWWM Unit 4: Finances for Life Topic 2 - Loans and Consumer Credit

Modeling Our World with Mathematics Unit 4: Finances for Life Topic 2 - Loans and Consumer Credit

Material Type: Module

Authors: Hannah Hynes-Petty, Washington OSPI OER Project, Washington OSPI Mathematics Department, Arlene Crum

Exploring Ratios and Proportions: 6.RP.3

This resource combines several OER resources in a way to help build deeper understanding. Students start with exploring what they already know about ratios and proportions. Next they review (or learn for the first time, depending on background) with Khan Academy some videos on the topics. They are able to do some hands on exploring with sorting ratio cards by digging into relationships. Students can then work on a three act math problem, and dig into the entire process of writing and solving a proportion problem. They end by evaluating "student work" on the topic, explaining the steps and what went wrong in the problems. Many math classes have students with varying backgrounds and levels of understanding. These activities have multiple entry points, giving more opportunities for learning. This is designed to give students the opportunities to dig in deeply to build conceptual understanding as well as procedural fluency.

Material Type: Activity/Lab, Assessment, Homework/Assignment

Author: Rebecca Strom

Intermediate Algebra

Free online Intermediate Algebra Book.

Material Type: Textbook

Author: John Redden

Online Algebra Study Guide

This free study guide is designed to supplement your current textbook. This Algebra Study Guide is a solutions oriented approach to Algebra. When solving problems students are asked to communicate their thought process by showing steps wherever possible.

Material Type: Diagram/Illustration, Homework/Assignment, Lecture, Lecture Notes, Reading

Author: John Reden

Remix of OpenStax Intermediate Algebra and OpenStax Algebra and Trigonometry

This is an interactive, technology-based course, which investigates the connections and interplay among various mathematical topics for both the baccalaureate-prep and technical-prep student. The function concept is introduced informally. Linear and quadratic functions and their graphs are covered in-depth. Other topics include rational exponents, radical and rational equations, linear and non-linear systems and right triangle trigonometry. A heuristic approach to problem-solving is emphasized with problem situations modeled numerically, algebraically and graphically.

Material Type: Textbook

Author: Michael McAfee

Beginning Algebra

This course is also intended to provide the student with a strong foundation for intermediate algebra and beyond. Upon successful completion of this course, you will be able to: simplify and solve linear equations and expressions including problems with absolute values and applications; solve linear inequalities; find equations of lines; and solve application problems; add, subtract, multiply, and divide various types of polynomials; factor polynomials, and simplify square roots; evaluate, simplify, multiply, divide, add, and subtract rational expressions, and solve basic applications of rational expressions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 001)

Material Type: Full Course

OpenStax Intermediate Algebra

This sample shell is produced by the California Community Colleges CVC-OEI to support faculty in the use of Open Educational Resources and development of courses aligned to the OEI Course Design Rubric. The shell may be used for online, hybrid, &/or face-to-face classes. The shell is available for all faculty, not just those faculty in the CCC system. The team producing this shell includes Helen Graves, Liezl Madrona, Cyrus Helf, Nicole Woolley & Barbara Illowsky. If you are having challenges importing the shell, here are some steps to take. (1) Create an empty shell in your sandbox. (2) Import the Canvas Commons course into your shell. (3) Adapt the content as you wish. (4) If all else fails, contact your college IT person or Canvas administrator.

Material Type: Full Course

Basic Mathematics

This course is a continuation of MAT087, Basic Mathematics. Topics include signed numbers, decimal numbers, exponential notation, scientific notation, solving and graphing linear equations, an introduction to polynomials, and systems of linear equations and their graphs. Geometrical topics include lines and angles, closed curves and convex polygons, triangles and similarities, and symmetry and proportion in nature and art. Students may complete this course during the first three weeks of the semester by passing the MyMathLab modules. Students will then be eligible to take either MAT 099 Intermediate Algebra, MAT 114-Quantitative Reasoning or MAT 120-Intro to Statistics the following semester. This course does not satisfy degree requirements.

Material Type: Full Course

Author: John McColgan

Khan Academy: Precalculus

This course covers Complex Number, Polynomials, Composite Functions, Trigonometry, Vectors, Matrices, Series, Conic Sections, and Probability and combinatorics.

Material Type: Full Course

Author: Khan Academy

Pre-calculus

A preparation for MAT 201 and the physical sciences. Students study principles, properties, and applications of functions and their graphs. They revisit functions introduced in MAT 107 and expand their knowledge of them. The course focuses heavily on circular trigonometric functions and introduces conic sections. Laboratory activities place particular emphasis on the use of functions to model real problems. Computers and/or graphing calculators are used to enhance the study of mathematics. Prerequisites: A grade of C- or better in MAT 107 or a score of 71 or higher on the College Level Math placement test; ENG 090 and ENG 094 (COL 090), or satisfactory placement test scores.

Material Type: Full Course

Author: Jodi Nager