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APEX Calculus
Conditional Remix & Share Permitted
CC BY-NC
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APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
APEX: Affordable Print and Electronic TeXtbooks
Author:
Brian Heinold
Dimplekumar Chalishajar
Gregory Hartman
Troy Siemers
Date Added:
01/01/2014
Book of Proof
Only Sharing Permitted
CC BY-ND
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0.0 stars

This book will initiate you into an esoteric world. You will learn and apply the methods of thought that mathematicians use to verify theorems, explore mathematical truth and create new mathematical theories. This will prepare you for advanced mathematics courses, for you will be better able to understand proofs, write your own proofs and think critically and inquisitively about mathematics.

Subject:
Functions
Mathematics
Material Type:
Textbook
Provider:
Virginia Commonwealth University
Author:
Richard Hammack
Date Added:
01/01/2009
Business Calculus
Read the Fine Print
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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:
05/22/2019
C++ Programming
Unrestricted Use
CC BY
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0.0 stars

The student will learn the mechanics of editing and compiling a simple program written in C++ beginning with a discussion of the essential elements of C++ programming: variables, loops, expressions, functions, and string class. Next, the student will cover the basics of object-oriented programming: classes, inheritance, templates, exceptions, and file manipulation. The student will then review function and class templates and the classes that perform output and input of characters to/from files. This course will also cover the topics of namespaces, exception handling, and preprocessor directives. In the last part of the course, the student will learn some slightly more sophisticated programming techniques that deal with data structures such as linked lists and binary trees. Upon successful completion of this course, students will be able to: Compile and execute code written in C++ language; Work with the elementary data types and conditional and iteration structures; Define and use functions, pointers, arrays, struct, unions, and enumerations; Write C++ using principles of object-oriented programming; Write templates and manipulate the files; Code and use namespaces, exceptions, and preprocessor instructions; Write a code that represents linked lists and binary trees; Translate simple word problems into C++ language. (Computer Science 107)

Subject:
Applied Science
Computer Science
Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
10/24/2019
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:
10/24/2019
Calculus I Course Content
Conditional Remix & Share Permitted
CC BY-NC
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The Calculus I course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in February 2019. The course is part of the Ohio Transfer Module and is also named TMM005. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadJim Fowler                                         Ohio State UniversityRita Ralph                                         Columbus State Community CollegeContent ContributorsNela Lakos                                       Ohio State UniversityBart Snapp                                       Ohio State UniversityJames Talamo                                  Ohio State UniversityXiang Yan                                         Edison State Community CollegeLibrarianDaniel Dotson                                    Ohio State University                     Review TeamThomas Needham                             Ohio State UniversityCarl Stitz                                            Lakeland Community CollegeSara Rollo                                          North Central State College 

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
Ohio Open Ed Collaborative
Date Added:
05/07/2021
Calculus I Course Content, Derivatives as functions, Derivatives as functions modules
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Understand the derivative as a function related to the original definition of a function.Find the derivative function using the limit definition.Relate the derivative function to the derivative at a point.Explain the relationship between differentiability and continuity.Relate the graph of the function to the graph of its derivative.Determine whether a piecewise function is differentiable.

Subject:
Calculus
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Calculus I Course Content, Product rule and quotient rule, Product rule and quotient rule modules
Conditional Remix & Share Permitted
CC BY-NC
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0.0 stars

After completing this section, students should be able to do the following.Identify products of functions.Use the product rule to calculate derivatives.Identify quotients of functions.Use the quotient rule to calculate derivatives.Combine derivative rules to take derivatives of more complicated functions.Explain the signs of the terms in the numerator of the quotient rule.Use the product and quotient rule to calculate derivatives from a table of values.

Subject:
Calculus
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Calculus I Course Content, Review of famous functions, Review of Famous Functions Modules
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Know the graphs and properties of ‘‘famous’’ functions.Know and use the properties of exponential and logarithmic functions.Understand the relationship between exponential and logarithmic functions.Understand the definition of a rational function.Understand the properties of trigonometric functions.Evaluate expressions and solve equations involving trigonometric functions and inverse trigonometric functions.

Subject:
Calculus
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Calculus II Course Content
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

The Calculus II course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in February 2019. The course is part of the Ohio Transfer Module and is also named TMM006. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadJim Fowler                                         Ohio State UniversityRita Ralph                                         Columbus State Community CollegeContent ContributorsNela Lakos                                       Ohio State UniversityBart Snapp                                       Ohio State UniversityJames Talamo                                  Ohio State UniversityXiang Yan                                         Edison State Community CollegeLibrarianDaniel Dotson                                    Ohio State University                     Review TeamThomas Needham                             Ohio State UniversityCarl Stitz                                            Lakeland Community CollegeSara Rollo                                         North Central State College

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
Ohio Open Ed Collaborative
Date Added:
05/07/2021
Calculus II Course Content, A review of integration, A review of integration modules
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Compute derivatives of common functions.Compute antiderivatives of common functions.Understand the relationship between derivatives and antiderivatives.Use algebra to manipulate the integrand.Evaluate indefinite and definite integrals through a change of variables.Evaluate integrals that require complicated substitutions.Recognize common patterns in substitutions.

Subject:
Calculus
Material Type:
Module
Author:
OER Librarian
Date Added:
05/07/2021
Calculus I (MATH 151)
Unrestricted Use
CC BY
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0.0 stars

This course is an introduction to contemporary calculus and is the first of a three-part sequence. In this course students explore the concepts, applications, and techniques of Calculus - the mathematics of change. Calculus has wide-spread application in science, economics and engineering, and is a foundation college course for further work in these areas. This is a required class for most science and mathematics majors.Login: guest_oclPassword: ocl

Subject:
Calculus
Functions
Mathematics
Material Type:
Full Course
Homework/Assignment
Lecture Notes
Lesson Plan
Reading
Syllabus
Provider:
Washington State Board for Community & Technical Colleges
Provider Set:
Open Course Library
Date Added:
10/31/2011
Calculus Volume 1
Unrestricted Use
CC BY
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0.0 stars

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 1 covers functions, limits, derivatives, and integration

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Alfred K. Mulzet
Catherine Abbott
David McCune
David Smith
David Torain
Edwin “Jed” Herman
Elaine A. Terry
Erica M. Rutter
Gilbert Strang
Joseph Lakey
Joyati Debnath
Julie Levandosky
Kirsten R. Messer
Michelle Merriweather
Nicoleta Virginia Bila
Sheri J. Boyd
Valeree Falduto
William Radulovich
Date Added:
02/01/2016
Calculus Volume 3
Unrestricted Use
CC BY
Rating
0.0 stars

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.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Alfred K. Mulzet
Catherine Abbott
David McCune
David Smith
David Torain
Edwin “Jed” Herman
Elaine A. Terry
Erica M. Rutter
Gilbert Strang
Joseph Lakey
Joyati Debnath
Julie Levandosky
Kirsten R. Messer
Michelle Merriweather
Nicoleta Virginia Bila
Sheri J. Boyd
Valeree Falduto
William Radulovich
Date Added:
02/01/2016
Category Theory for Scientists, Spring 2013
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

The goal of this class is to prove that category theory is a powerful language for understanding and formalizing common scientific models. The power of the language will be tested by its ability to penetrate into taken-for-granted ideas, either by exposing existing weaknesses or flaws in our understanding, or by highlighting hidden commonalities across scientific fields.

Subject:
Functions
Mathematics
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
David I. Spivak
Date Added:
01/01/2013
College Algebra
Read the Fine Print
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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:
05/22/2019