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CLP-4 Vector Calculus
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CC BY-NC-SA
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This textbook covers Vector Calculus. There are chapters on curves, vector fields, surface integrals and integral theorems (such as the divergence theorem).

Problem book available.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
University of British Columbia
Author:
Adrew Rechnitzer
Elyse Yeager
Joel Feldman
Date Added:
08/30/2023
Calculus
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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 - AP Practice: BC Sample Questions
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CC BY-NC-SA
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The Calculus BC AP exam is a super set of the AB exam. It covers everything in AB as well as some of the more advanced topics in integration, sequences and function approximation. This tutorial is great practice for anyone looking to test their calculus mettle!

Subject:
Calculus
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
05/30/2013
Calculus-Based Physics I
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CC BY-SA
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Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students.

Subject:
Calculus
Mathematics
Physical Science
Physics
Material Type:
Textbook
Provider:
Saint Anselm College
Author:
Jeffrey Schnick
Date Added:
02/16/2011
Calculus - Double and Triple Integrals: Triple Integrals
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CC BY-NC-SA
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This is about as many integrals we can use before our brains explode. Now we can sum variable quantities in three-dimensions (what is the mass of a 3-D wacky object that has variable mass)!

Subject:
Calculus
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
05/30/2013
Calculus: Early Transcendentals
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CC BY-NC-SA
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Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable text provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses.
To practice and develop an understanding of topics, this text offers a range of problems, from routine to challenging, with selected solutions. As this is an open text, instructors and students are encouraged to interact with the textbook through annotating, revising, and reusing to your advantage. Suggestions for contributions to this growing textbook are welcome.

Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.

Subject:
Mathematics
Material Type:
Assessment
Homework/Assignment
Lecture Notes
Textbook
Provider:
Lyryx Learning
Author:
D. Guichard
Date Added:
01/01/2014
Calculus II
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CC BY-NC-SA
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This site provides lectures and guided lecture notes for students for a second-semester calculus course.

Subject:
Calculus
Mathematics
Material Type:
Lecture
Lecture Notes
Date Added:
05/21/2019
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
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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 for Management and Economics Exercise Book
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CC BY-NC-SA
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The most important way to learn calculus is through problem-solving. While going through the solution to a problem, students are often faced with several issues. They may not see the connection between the concept taught in class and the solution. Others may not understand the solution because a step is missing or there are insufficient explanations. Or because they have weak algebra skills. The main goal of this exercise book is to address these issues to help students learn the material more efficiently and get better results. The book contains a wide variety of problems in integral calculus and multivariable calculus, with applications in differential equations, probability, management, and economics. Every problem has a very detailed solution, and the book is self-contained, as the summary for every concept is provided.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
University of British Columbia
Author:
Paul Tsopméné
Date Added:
03/05/2023
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 for Management and Economics Exercise Book
Conditional Remix & Share Permitted
CC BY-NC-SA
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The most important way to learn calculus is through problem-solving. While going through the solution to a problem, students often face several issues. They may not see the connection between the concept taught in class and the solution. Others may not understand the solution because a step is missing or there are insufficient explanations. Or because they have weak algebra skills. The main goal of this exercise book is to address these issues to help students learn the material more efficiently and get better results. The book contains a wide variety of problems in differential calculus with applications in management and economics. Every problem has a very detailed solution, and the book is self-contained, as the summary for every concept is provided.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
University of British Columbia
Author:
Paul Tsopméné
Date Added:
03/05/2023
Calculus: Indefinite and Definite Integrals
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CC BY-NC-SA
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This series of videos focusing on calculus covers indefinite integral as anti-derivative, definite integral as area under a curve, integration by parts, u-substitution, trig substitution.

Subject:
Calculus
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Date Added:
05/28/2013
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