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 plan introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to...
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...
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...
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...
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...
Cuemath
Cuemath: Integral
A comprehensive guide for learning all about integrals with definitions, types and formulas, solved examples, and practice questions.
University of Manchester
Umist: Mathematical Formula Tables
This site has links to tables of mathematical formulas. To view them, the student must download the formulas in pdf format.
Wolfram Research
Wolfram Math World: Line Integral
Use this site to find the formula for the line vector of a field on a curve. Also included is the formula for complex plane circumstances. Read further down the page for higher math involving involveing Poincare's
Wolfram Research
Wolfram Mathworld: Riemann Integral
This site explains the Riemann Integral and its relation to the Riemann Sum. This site addresses double and triple Riemann Integral scenarios. Includes formulas, definitions, and links to related sites.
Wolfram Research
Wolfram Math World: Improper Integrals
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
eFunda
Numerical Integration: Newton Cotes Formulas
Good site explaining the various methods for numerical integration.
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 Medics
S.o.s. Math: Problems on Improper Integrals
This math lesson gives information on Improper Integrals. Includes formulas and examples.
Integrated Publishing
Integrated Publishing: Levers
A quite lengthy chapter on the simple machine the lever. Includes uses, classes, mechanical advantage, formulae, etc. A full discussion, with good illustrations.
Paul Dawkins
Paul's Online Notes: Calculus I: Area and Volume Formulas
The tutorial examines the area between two curves and the volume of a solid of revolution. The class notes are available in pdf format.
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...
Wolfram Research
Wolfram Science World: Abraham De Moivre (1667 1754)
This site from ScienceWorld provides a brief two sentence overview of Abraham DeMoivre's life and his famous formulas. Links are provided to view both the Stirling's formula, as well as the Gaussian integral.
Wolfram Research
Wolfram Math World: Green's Theorem
This site from MathWorld is a good site explaining Green's Theorem. The information presented is fairly brief but very helpful, and several formulas and examples are given along with links to additional information.
Math2
Math2.org: Series Expansion
A lengthy look at the rules and formulas of calculus Fourier series. Included topics: Fourier series of functions, remainders of Fourier series, Riemann's theorem, Parseval's theorem, arbitrary intervals, and Fourier transformations.