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Old Dominion University
Introduction to Calculus
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,...
Curated OER
Math Handbook: Calculus
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...
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
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...
Whitman College
Calculus - Early Transcendentals
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...
Flipped Math
Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation
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.
West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
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...
West Contra Costa Unified School District
Indefinite Integrals
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...
Happy Maau Studios
Math Ref
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...
Wolfram Research
Wolfram Math World: Calculus
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...
Other
Dans Math: Lessons: Calculus (Part 1)
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
University of California
University of California, Davis: The Calculus Page
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...
Paul Dawkins
Paul's Online Notes: Calculus Cheat Sheet [Pdf]
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
Math Words
Math words.com: Differential Equation
A brief definition of a differential equations. An example of one is given.
Oregon State University
Oregon State University: Differential Equations
Defines differential equations and some of its properties including, linear, homogeneous and nonhomogeneous.
Wolfram Research
Wolfram Math World: Calculus and Analysis
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.
Stanford University
Stanford University: Overview of Leibniz
This site outlines Gottfried Wilhelm Leibniz's life. Categories include principal works, Leibniz's life, Leibniz's contributions to philosophy, and further readings.
Harvey Mudd College
Harvey Mudd College: Elementary Solution Methods for First Order Od Es
Elementary Solution Methods for First-Order ODEs: Contains a large amount of information regarding first order differential equations, including definitions, examples, and basic properties.
Hofstra University
Hofstra: Techniques of Differentiation
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.
University of St. Andrews (UK)
University of St. Andrews: Leonhard Euler
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.
Other
Sierra College: Table of Derivatives
This table of derivatives is a useful guide for homework or other studying.
University of St. Andrews (UK)
University of St. Andrews: George Boole
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.
University of St. Andrews (UK)
University of St. Andrews: Gaspard Monge
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.
University of Michigan
University of Michigan: The Mathematics of Basic Pumping Well Hydraulics
Discusses the mathematics involved in basic pumping well hydraulics. Includes a section dealing with the steady state solution.
Wolfram Research
Wolfram Science World: Bernoulli, Jakob (1654 1705)
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.