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...
Worksheet
Curated OER

Multivariable Calculus/ Bonus Quiz 4, Partial Derivatives

For Students 11th - Higher Ed
In this math instructional activity, students practice solving the problems that focus upon the concept of partial derivatives. The problems are in the form of a quiz.
Worksheet
Curated OER

Multivariable Calculus: Application of Partial Derivatives

For Students Higher Ed
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
Worksheet
Curated OER

Multivariable calculus: Partial Derivatives

For Students 11th - Higher Ed
In this partial derivative worksheet, learners calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page worksheet contains five problems.
Interactive
Curated OER

The Method of Integration by Partial Fractions

For Students 9th - 10th
In this calculus worksheet, students solve problems using integration by partial fractions. They add fractions to get a common denominator, then take the derivative. There are 20 questions with an answer key.
Worksheet
Curated OER

Calculus Activity based on "The Simpsons"

For Students 12th - Higher Ed
In this calculus worksheet, students are provided with a translation of a scene from the Simpsons in which the teacher solves a calculus problem.  Students explain if her solution is correct. The one page...
Worksheet
Curated OER

Multivariable Calculus: The Jacobian Matrix

For Students Higher Ed
In this Jacobian matrix worksheet, students identify the derivative matrix of a function and use the tangent approximation to approximate vectors. This two-page worksheet contains six problems.
Worksheet
Curated OER

Taylor Series

For Students 9th - Higher Ed
In this calculus activity, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.
Worksheet
Curated OER

Exploration 3: Introduction to Definite Integrals

For Students 11th - 12th
In this integral worksheet, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page worksheet contains approximately 40 problems.
Worksheet
Curated OER

Numerical Analysis: Dimensional Vectors

For Students Higher Ed
In this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.
Activity
Paul Dawkins

Paul's Online Notes: Calculus Iii: Partial Derivatives

For Students 9th - 10th
The resource examines partial derivatives. Topics investigated are limits, higher order partial derivatives, chain rule, and directional derivatives. Class notes, definitions, and examples with detailed solutions are included. The notes...
Activity
Paul Dawkins

Paul's Online Notes: Calculus Iii: Applications of Partial Derivatives

For Students 9th - 10th
The resource examines applications of partial derivatives. Topics investigated are tangent planes, linear approximation, gradient vector, and Lagrange multipliers. Class notes, definitions, and examples with detailed solutions are...
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Multivariable Calculus

For Teachers 9th - 10th
The online course consists of educational materials about multivariable calculus. Readings, syllabus, interactive mathlets, video lectures, exams, and assignments are included.
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook Study Guide)

For Teachers 9th - 10th
The online course consists of a study guide about calculus. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Functions of Several Variables

For Students 9th - 10th
The topic summary outlines functions of several variables. Some topics reviewed are partial derivatives, double integrals, real-valued function, and three-dimensional space. The resource consists of definitions, notes, and examples.
Activity
Other

Math Mistakes: Common Calculus Mistakes

For Students 9th - 10th
Learn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...
Activity
Harvey Mudd College

Harvey Mudd College: Concavity and the Second Derivative Test

For Students 9th - 10th
An excellent tutorial explaining concavity and the second derivative test, including a labeled diagram, examples, and links to a quiz.
Activity
Paul Dawkins

Paul's Online Notes: Calculus Iii: Multiple Integrals

For Students 9th - 10th
The resource examines applications of partial derivatives. Topics investigated are double integrals, triple integrals, surface area, and iterated integrals. Class notes, definitions, and examples with detailed solutions are included. The...
Activity
Interactive Mathematics

Interactive Mathematics: Integration

For Students 9th - 10th
This lesson puts integration to work. Lessons include integral, derivatives, antiderivatives, and indefinite integrals. The Trapezoidal and Simpson's Rules are highlighted. The examples are enhanced using Live, Math and Scientific...
Unknown Type
That Quiz

That Quiz: Calculo

For Students 9th - 10th
This interactive site is a great practice for derivatives and integrals. Ten different levels are provided and you can choose full hint or partial hint.
Unit Plan
Cuemath

Cuemath: Integration

For Students 9th - 10th
Explore the world of integration in this mini-lesson. Learn the integration rule and other integral concepts and try your hand at a few practice questions.

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