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Mathematics Textbooks and Full Courses

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Bootstrap: Data Science Pathway
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CC BY-NC-ND
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In Bootstrap:Data Science, students form their own questions about the world around them, analyze data using multiple methods, and write a research paper about their findings. The module covers functions, looping and iteration, data visualization, linear regression, and more. Social studies, science, and business teachers can utilize this module to help students make inferences from data. Math teachers can use this module to introduce foundational concepts in statistics, and it is aligned to state and national standards.

Subject:
Applied Science
Computer Science
Education
Mathematics
Social Science
Statistics and Probability
Material Type:
Activity/Lab
Assessment
Data Set
Full Course
Homework/Assignment
Lecture Notes
Lesson Plan
Teaching/Learning Strategy
Author:
Ben Lerner
Dorai Sitaram
Emma Youndtsmith
Emmanuel Schanzer
Flannery Denny
Jennifer Poole
Joe Politz
Nancy Pfenning
Shriram Krishnamurthi
Date Added:
08/31/2020
Business Calculus
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This course provides an introduction to applied concepts in Calculus that are relevant to the managerial, life, and social sciences. Students should have a firm grasp of the concept of functions to succeed in this course. Topics covered include derivatives of basic functions and how they can be used to optimize quantities such as profit and revenues, as well as integrals of basic functions and how they can be used to describe the total change in a quantity over time.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Date Added:
03/31/2016
Business Calculus (MATH 148)
Unrestricted Use
CC BY
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MATH&148 is a calculus course for business students. It is designed for students who want a brief course in calculus. Topics include differential and integral calculus of elementary functions. Problems emphasize business and social science applications. Translating words into mathematics and solving word problems are emphasized over algebra. Applications are mainly business oriented (e.g. cost, revenue, and profit). Mathematical theory and complex algebraic manipulations are not mainstays of this course, which is designed to be less rigorous than the calculus sequence for scientists and engineers. Topics are presented according to the rule of four: geometrically, numerically, analytically, and verbally. That is, symbolic manipulation must be balanced with graphical interpretation, numerical examples, and writing. Trigonometry is not part of the course.

Subject:
Calculus
Mathematics
Material Type:
Assessment
Full Course
Reading
Syllabus
Textbook
Provider:
Washington State Board for Community & Technical Colleges
Provider Set:
Open Course Library
Date Added:
05/03/2013
Business Statistics
Unrestricted Use
CC BY
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0.0 stars

Introductory survey of quantitative methods (QM), or the application of statistics in the workplace. Examines techniques for gathering, analyzing, and interpreting data in any number of fieldsĺÎĺ from anthropology to hedge fund management.

Subject:
Business and Communication
Management
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Full Course
Homework/Assignment
Reading
Syllabus
Provider:
The Saylor Foundation
Date Added:
11/10/2011
CCGPS Algebra 1
Conditional Remix & Share Permitted
CC BY-NC-SA
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Full course of Algebra 1 is presented online by Georgia Virtual Learning. Audio, video, text, games and activities are included to engage ninth grade students in learning.

Subject:
Algebra
Functions
Mathematics
Material Type:
Activity/Lab
Full Course
Reading
Provider:
Georgia Department of Education
Provider Set:
Georgia Virtual Learning
Date Added:
08/02/2013
CK-12 Geometry Honors Concepts
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CC BY-NC
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This Geometry Concept Collection is a rigorous presentation of high school geometry. It is fully correlated with the Common Core State Standards.

Subject:
Geometry
Mathematics
Material Type:
Full Course
Homework/Assignment
Interactive
Lecture Notes
Lesson Plan
Textbook
Unit of Study
Provider:
CK-12 Foundation
Author:
Kaitlyn Spong
Date Added:
08/01/2014
CK-12 Middle School Math Concepts - Grade 8
Conditional Remix & Share Permitted
CC BY-NC
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In CK-12 Middle School Math Concepts – Grade 8, the learning content is divided into concepts. Each concept is complete and whole providing focused learning on an indicated objective. Theme-based concepts provide students with experiences that integrate the content of each concept. Students are given opportunities to practice the skills of each concept through real-world situations, examples, guided practice and explore more practice. There are also video links provided to give students an audio/visual way of connecting with the content.

Subject:
Mathematics
Material Type:
Full Course
Lesson Plan
Textbook
Unit of Study
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
03/28/2016
Calculus
Conditional Remix & Share Permitted
CC BY-NC-SA
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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:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Author:
Gilbert Strang
Date Added:
01/01/1991
Calculus 1 and 2
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Calculus is the mathematics of CHANGE and almost everything in our world is changing. In this course, you will investigate limits and how they are used to calculate rate of change at a point, define the continuity of a function and how they are used to define derivatives. Definite and indefinite integrals and their applications are covered, including improper integrals. Late in the course, you will find Calculus with parametric equations and polar coordinates, sequences and series, and vectors.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
Dale Hoffman
David Lippman
Jeff Eldridge
Melonie Rasmussen
Date Added:
03/31/2016
Calculus I
Unrestricted Use
CC BY
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This course begins with a review of algebra specifically designed to help and prepare the student for the study of calculus, and continues with discussion of functions, graphs, limits, continuity, and derivatives. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Upon successful completion of this course, the student will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and LĺÎĺ_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_s Rule; state whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, common transcendental functions, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for function given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using NewtonĺÎĺ_ĺĚĺ_s Method; find linear approximations to functions using differentials; festate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer; state which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions. 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 005)

Subject:
Calculus
Functions
Mathematics
Material Type:
Assessment
Full Course
Reading
Syllabus
Textbook
Provider:
The Saylor Foundation
Date Added:
04/16/2012
Calculus III
Unrestricted Use
CC BY
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This is the curriculum for a asynhronous Calculus III course implemented for an eight-week semester and based on courses, which the author taught in 2016-2021 at Middlesex Community College and MassBay Community College. 

Subject:
Mathematics
Material Type:
Full Course
Author:
Igor Baryakhtar
Date Added:
06/30/2021
Calculus III, Fall 2010
Conditional Remix & Share Permitted
CC BY-NC-SA
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This course is an introduction to the calculus of functions of several variables. It begins with studying the basic objects of multidimensional geometry: vectors and vector operations, lines, planes, cylinders, quadric surfaces, and various coordinate systems. It continues with the elementary differential geometry of vector functions and space curves. After this, it extends the basic tools of differential calculus - limits, continuity, derivatives, linearization, and optimization - to multidimensional problems. The course will conclude with a study of integration in higher dimensions, culminating in a multidimensional version of the substitution rule.

Subject:
Calculus
Geometry
Mathematics
Material Type:
Full Course
Homework/Assignment
Syllabus
Provider:
UMass Boston
Provider Set:
UMass Boston OpenCourseWare
Author:
Catalin Zara
Ph.D.
Date Added:
02/16/2011
Calculus II (full course).
Conditional Remix & Share Permitted
CC BY-NC-SA
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Complete course available at MyOpenMath. Course ID:142672
.   This work was supported in part by a Wright College grant to create ancillary materials to augment OER materials.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Author:
Hellen Colman
Date Added:
04/21/2022
Calculus I online
Conditional Remix & Share Permitted
CC BY-NC
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This is the curriculum for the asynchronous Calculus I course implemented for a ten-week semester and based on the courses, which the author taught in Summer 2020 and Summer 2021 at MassBay Community College.

Subject:
Mathematics
Material Type:
Full Course
Author:
Igor Baryakhtar
Date Added:
01/21/2022
Calculus Sequences and Series
Unrestricted Use
CC BY
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This course is a brief introduction to sequences and infinite series. We begin with a discussion of power series and develop tests for convergence and non-convergence. Taylor series are introduced and lead to an analysis of power series in general. This is a 1-credit course that can be taken any time after the student has completed Calculus I.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
Roxbury Community College
Author:
Javad Moulai
Date Added:
05/15/2019
Calculus in Context
Unrestricted Use
CC BY
Rating
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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.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Student Guide
Textbook
Provider:
Smith College
Author:
David Cox
Donal O'Shea
Harriet Pollatsek
James Callahan
Kenneth Hoffman
Lester Senechal
The Five College Calculus Project
Date Added:
04/16/2020
California Subject Examination for Teachers (CSET) - Preparation Resources
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CC BY-NC-ND
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The University of California, Irvine Extension, supported by generous grants from the William and Flora Hewlett Foundation and The Boeing Company, is developing online courses to prepare science and mathematics teachers for the California Subject Examinations for Teachers (CSET).

UC Irvine Extension's online test-preparation courses correspond with the 10 CSET science subtests and three CSET mathematics subtests.

Subject:
Algebra
Astronomy
Biology
Life Science
Mathematics
Physical Science
Physics
Trigonometry
Material Type:
Assessment
Full Course
Homework/Assignment
Reading
Provider:
U.C. Irvine
Provider Set:
U.C. Irvine OpenCourseWare
Author:
University of California, Irvine
Date Added:
02/16/2011
Chess 101
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Students will take active roles in learning the game of chess and improving their skills, ability, and knowledge of the game. Students will read the course material, complete practice drills for each module, complete and submit all assessments and submit properly recorded (notated) games that they played. Course content includes: rules, strategy, tactics and algebraic notation (the 'language' of chess).

Subject:
Mathematics
Material Type:
Full Course
Date Added:
01/28/2016
College Algebra
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This course covers relations and functions, specifically, linear, polynomial, exponential, logarithmic, and rational functions. Additionally, sections on conics, systems of equations and matrices and sequences are also available.

Subject:
Algebra
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
Carl Stitz
Jeff Zeager
Date Added:
03/31/2016
College Algebra
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It is often said that mathematics is the language of science. If this is true, then the language of mathematics is numbers. The earliest use of numbers occurred 100 centuries ago in the Middle East to count, or enumerate items. Farmers, cattlemen, and tradesmen used tokens, stones, or markers to signify a single quantity—a sheaf of grain, a head of livestock, or a fixed length of cloth, for example. Doing so made commerce possible, leading to improved communications and the spread of civilization.

Subject:
Algebra
Mathematics
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Date Added:
08/18/2016