Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
eBook
Old Dominion University

Introduction to Calculus

For Teachers 11th - Higher Ed Standards
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Handout
Curated OER

Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...
eBook
Whitman College

Calculus - Early Transcendentals

For Teachers 9th - Higher Ed Standards
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
Handout
University of Notre Dame

The Natural Exponential Function

For Students 11th - 12th Standards
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 
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Analyze Math

Analyze Math: Definition of Definite Integrals Riemann Sums

For Students 9th - 10th
The applet examines the definition of the definite integral.
Handout
Wolfram Research

Wolfram Math World: Indefinite Integral

For Students 9th - 10th
This MathWorld site offers an explanation of the indefinite integral. Includes links to related topics within the explanation.
Handout
Wolfram Research

Wolfram Math World: Fundamental Theorem of Calculus

For Students 9th - 10th
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
Handout
Paul Dawkins

Paul's Online Notes: Calculus I: Applications of Integrals

For Students 9th - 10th Standards
The tutorial investigates applications of integrals. Topics discussed are average function value, area between two curves, volumes of solids of revolution, and work. Class notes, definitions, and examples with detailed solutions are...
Handout
Paul Dawkins

Paul's Online Notes: Calculus Ii: Applications of Integrals

For Students 9th - 10th
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
Handout
Math Open Reference

Math Open Reference: Riemann Sums

For Students 9th - 10th
A complete reference guide to Riemann Sums. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Handout
Math Open Reference

Math Open Reference: Separation of Variables

For Students 9th - 10th
Learn about the separation of variables with this helpful reference tool. Provides a detailed definition, examples, and an interactive activity that enhance further explanation. Includes links to related topics.
Handout
Math Open Reference

Math Open Reference: Improper Integrals

For Students 9th - 10th
Learn about improper integrals with this handy reference guide. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Handout
Math Open Reference

Math Open Reference: Polar Area

For Students 9th - 10th
A complete reference guide to polar area. It provides definitions, examples. and an interactive activity that enhances further explanation. Includes links to related topics.
Handout
Math Open Reference

Math Open Reference: Fundamental Theorem of Calculus

For Students 9th - 10th
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Handout
Wolfram Research

Wolfram Math World: Improper Integrals

For Students 9th - 10th
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
Handout
Paul Dawkins

Paul's Online Notes: Average Function Value

For Students 9th - 10th Standards
This tutorial takes a look at using definite integrals to determine the average value of a function on an interval and also the Mean Value Theorem for integrals.
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Oswego City School District

Regents Exam Prep Center: Nys Mathematics Glossary: Integrated Algebra [Pdf]

For Teachers 9th - 10th
The glossary consists of mathematical terms used in integrated algebra. Definitions and examples are included. The resource is intended for teacher use only.
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Math Open Reference

Math Open Reference: Integral Test

For Students 9th - 10th
A handy reference guide to the integral test. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
Handout
Math Open Reference

Math Open Reference: Integration by Substitution

For Students 9th - 10th
Learn about integration by substitution with this handy reference guide. Provides a detailed definition and examples that enhances further explanation. Includes links to related topics.
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Math Medics

S.o.s. Math: Improper Integrals and Series: The Integral Test

For Students 9th - 10th
This lesson explains the Integral Test for Improper Integrals and Series. The lesson provides definitions, background and examples.
Handout
University of California

University of California, Davis: The Calculus Page

For Students 9th - 10th Standards
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
Handout
Paul Dawkins

Paul's Online Notes: Calculus I: Area and Volume Formulas

For Students 9th - 10th Standards
The tutorial examines the area between two curves and the volume of a solid of revolution. The class notes are available in pdf format.
Handout
Math2

Math2.org: Series Expansions

For Students 9th - 10th
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...