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

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...
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...
AP Test Prep
1
1
Flipped Math

Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
Handout
West Contra Costa Unified School District

Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...
Lesson Plan
West Contra Costa Unified School District

Indefinite Integrals

For Teachers 11th - Higher Ed Standards
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
Handout
Happy Maau Studios

Math Ref

For Students 7th - 12th
Forgot how to multiply matrices? Well, this app can help. It is like a gigantic, well-organized reference card for all things math. Customize your personal reference material by adding your own notes and build up a personalized list of...
Handout
Wolfram Research

Wolfram Math World: Calculus

For Students 9th - 10th Standards
This tutorial provides detailed overviews of the concepts and theorems associated with calculus. The number to the right of the topic indicates how many sites MathWorld has pertaining to the topic. "Funnel your way down the chain" to...
Handout
Other

Dans Math: Lessons: Calculus (Part 1)

For Students 9th - 10th
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
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 Cheat Sheet [Pdf]

For Students 9th - 10th
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
Handout
Math Words

Math words.com: Differential Equation

For Students 9th - 10th
A brief definition of a differential equations. An example of one is given.
Handout
Oregon State University

Oregon State University: Differential Equations

For Students 9th - 10th
Defines differential equations and some of its properties including, linear, homogeneous and nonhomogeneous.
Handout
Wolfram Research

Wolfram Math World: Calculus and Analysis

For Students 9th - 10th
Over two dozen links are provided at this MathWorld site. From Polynomials and Series to Dynamical Systems and Catastrophe Theory, each link provides in-depth explanations and relevant diagrams of the topics at hand.
Handout
Stanford University

Stanford University: Overview of Leibniz

For Students 9th - 10th
This site outlines Gottfried Wilhelm Leibniz's life. Categories include principal works, Leibniz's life, Leibniz's contributions to philosophy, and further readings.
Handout
Harvey Mudd College

Harvey Mudd College: Elementary Solution Methods for First Order Od Es

For Students 10th - 12th
Elementary Solution Methods for First-Order ODEs: Contains a large amount of information regarding first order differential equations, including definitions, examples, and basic properties.
Handout
Hofstra University

Hofstra: Techniques of Differentiation

For Students 9th - 10th
This applied calculus tutorial explains the various rules for taking the derivative of a function as well as giving a general formula for the operation and numerous examples.
Handout
University of St. Andrews (UK)

University of St. Andrews: Leonhard Euler

For Students 9th - 10th
Lengthy biography of Euler that sets him in relationship with his contemporaries in mathematics and physics. Several quotes and pictures available, as well as links to relevant mathematical topics. A terrific site.
Handout
Other

Sierra College: Table of Derivatives

For Students 9th - 10th Standards
This table of derivatives is a useful guide for homework or other studying.
Handout
University of St. Andrews (UK)

University of St. Andrews: George Boole

For Students 9th - 10th
This University of St. Andrews page offers an excellent biography on George Boole, an English mathematician and linguist (1815-1864.) Discusses his life and his contributions to these fields.
Handout
University of St. Andrews (UK)

University of St. Andrews: Gaspard Monge

For Students 9th - 10th
This University of St. Andrews page offers an excellent biography on Gaspard Monge, a French mathematician and diversified scientist (1746-1818.) Discusses his life and his contributions to these fields.
Handout
University of Michigan

University of Michigan: The Mathematics of Basic Pumping Well Hydraulics

For Students 9th - 10th
Discusses the mathematics involved in basic pumping well hydraulics. Includes a section dealing with the steady state solution.
Handout
Wolfram Research

Wolfram Science World: Bernoulli, Jakob (1654 1705)

For Students 9th - 10th
This site from ScienceWorld provides a brief but factual abstract of Bernoulli's math accomplishments. Links are provided throughout for additional information on related subjects.