Lecture Slides for Calculus II.

- Subject:
- Calculus
- Material Type:
- Lecture Notes
- Provider:
- Kennesaw State University
- Author:
- Lake Ritter
- Shangrong Deng
- Date Added:
- 10/03/2022

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Lecture Slides for Calculus II.

- Subject:
- Calculus
- Material Type:
- Lecture Notes
- Provider:
- Kennesaw State University
- Author:
- Lake Ritter
- Shangrong Deng
- Date Added:
- 10/03/2022

Conditional Remix & Share Permitted

CC BY-NC-SA
A continuation of MATH 2253. Topics include differentiation and integration of transcendental functions,

integration techniques, indeterminate forms, infinite sequences and series, Taylor and Maclaurin series,

parametric equations, L'Hopital's Rule, improper integrals, and polar coordinates.

- Subject:
- Calculus
- Material Type:
- Full Course
- Provider:
- Kennesaw State University
- Author:
- Lake Ritter
- Date Added:
- 10/03/2022

Conditional Remix & Share Permitted

CC BY-NC
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
- Material Type:
- Textbook
- Provider:
- APEX: Affordable Print and Electronic TeXtbooks
- Author:
- Brian Heinold
- Dimplekumar Chalishajar
- Gregory Hartman
- Troy Siemers
- Date Added:
- 01/01/2014

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CC BY-NC
Conditional Remix & Share Permitted

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Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

- Subject:
- Mathematics
- Calculus
- Material Type:
- Textbook
- Provider:
- Grand Valley State University
- Author:
- David Austin
- Matt Boelkins
- Steve Schlicker
- Date Added:
- 02/19/2015

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CC BY-NC-SA
Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding.

- Subject:
- Calculus
- Material Type:
- Textbook
- Provider:
- Grand Valley State University
- Author:
- David Austin
- Matt Boelkins
- Steve Schlicker
- Date Added:
- 12/01/2020

Conditional Remix & Share Permitted

CC BY-NC-SA
Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners — there are very few worked examples in the texts, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature.

- Subject:
- Calculus
- Material Type:
- Textbook
- Provider:
- Grand Valley State University
- Author:
- David Austin
- Matthew Boelkins
- Steven Schlicker
- Date Added:
- 07/01/2018

Conditional Remix & Share Permitted

CC BY-SA
This text is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus.

- Subject:
- Mathematics
- Calculus
- Material Type:
- Textbook
- Author:
- Matthew Boelkins
- Date Added:
- 02/18/2022

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CC BY-NC-SA
Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.

Note: this is a 57 MB PDF Document.

- Subject:
- Calculus
- Material Type:
- Textbook
- Provider:
- Harvard University
- Provider Set:
- Individual Authors
- Author:
- Sternberg Shlomo and Lynn Loomis
- Date Added:
- 02/16/2011

Unrestricted Use

CC BY
Read the Fine Print

Applied Calculus instructs students in the differential and integral calculus of elementary functions with an emphasis on applications to business, social and life science. Different from a traditional calculus course for engineering, science and math majors, this course does not use trigonometry, nor does it focus on mathematical proofs as an instructional method.

- Subject:
- Calculus
- Material Type:
- Full Course
- Textbook
- Provider:
- Lumen Learning
- Provider Set:
- Candela Courseware
- Author:
- Dale Hoffman
- David Lippman
- Shana Calaway
- Date Added:
- 03/31/2016

Unrestricted Use

CC BY
This Project has been completed as part of a standard 10 weeks Calculus 3 asynchronous online course with optional WebEx sessions during Summer 2021 Semester at MassBay Community College, Wellesley Hills, MA.

- Subject:
- Mathematics
- Calculus
- Material Type:
- Activity/Lab
- Homework/Assignment
- Author:
- Igor Baryakhtar
- Date Added:
- 08/03/2021

Conditional Remix & Share Permitted

CC BY-NC-SA
The text is mostly an adaptation of two other excellent open- source calculus textbooks: Active Calculus by Dr. Matt Boelkins of Grand Valley State University and Drs. Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar, and Jennifer Bowen of the Virginia Military Institute and Mount Saint Mary's University. Both of these texts can be found at http://aimath.org/textbooks/approved-textbooks/.

The authors of this text have combined sections, examples, and exercises from the above two texts along with some of their own content to generate this text. The impetus for the creation of this text was to adopt an open-source textbook for Calculus while maintaining the typical schedule and content of the calculus sequence at our home institution.

- Subject:
- Calculus
- Material Type:
- Textbook
- Provider:
- University System of Georgia
- Provider Set:
- Galileo Open Learning Materials
- Author:
- Jared Schlieper,
- Michael Tiemeyer
- Date Added:
- 03/20/2015

Only Sharing Permitted

CC BY-NC-ND
Unrestricted Use

CC BY
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

Read the Fine Print

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
- Material Type:
- Full Course
- Textbook
- Provider:
- Lumen Learning
- Provider Set:
- Candela Courseware
- Date Added:
- 03/31/2016

Unrestricted Use

CC BY
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
- 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

Conditional Remix & Share Permitted

CC BY-NC-SA
This is an online textbook for a one semester calculus course aimed at business students.

The material covered is fairly standard: differentiation and integration without trigonometry, partial derivatives and optimization of functions of several variables.

There are several characteristics that differentiate the text from other texts:

Excel is used as the main computational engine throughout the text and the needed Excel skills are taught rather than assumed.

Examples, exercises, and vocabulary are tailored to uses in a business curriculum.

There is a modeling thread throughout the text.

Webwork versions of exercises are available on request.

- Subject:
- Calculus
- Material Type:
- Textbook
- Provider:
- St. Louis University
- Author:
- Anneke Bart
- Mike May
- Date Added:
- 04/21/2021

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CC BY-NC-SA
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:
- MIT
- Author:
- Gilbert Strang
- Date Added:
- 01/01/1991

Read the Fine Print

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
- 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