Refresh and Supplemental Resources for Calculus III

[Pages:1]Refresh and Supplemental Resources for Calculus III

These resources are designed to be used to help students refresh their prerequisite course knowledge and provide supplementary course resources.

Calc III Topic

Calc I/II Prerequisite Videos

Three-Dimensional Coordinate System Vectors Derivatives of Vector Functions Integrals of Vector Functions Motion in Space Partial Derivatives Limits and Continuity Multiple Integrals, Line Integrals, Surface Integrals Cylindrical Coordinates, Spherical Coordinates

Graphing in 2 Dimensions

Pythagorean Theorem Differentiation rules

Basic Integration,

Derivatives of Trig Functions Implicit differentiation Limits and Continuity in Calc I Integration Techniques

Polar Coordinates ? The Basics

Calc I/II Prerequisite Practice Problems Practice Graphing

Practice using Pythagorean Product and Quotient rule, Chain Rule Indefinite Integrals

Differentiate Trig Functions Implicit differentiation practice Continuity Practice Table of Integrals (Textbook)

Polar Coordinates ? Practice Problems

Additional Useful Resources:

? Just Math Tutorials ( ) ? short videos showing how to solve problems from algebra, trigonometry, calculus, differential equations, linear algebra and probability and statistics

? Khan Academy ( ) ? structured online mathematics course materials, including instructional videos and practice problems

? Paul's Online Notes ( ) - mathematics practice problems with solutions

? Desmos ( ) - online graphing calculator

? WolframAlpha ( ) ? multifunctional computational platform that helps solve equations, graph functions, look up formulas, etc.

? Algebra Cheat Sheet ( ) , Trigonometry Cheat Sheet ( ) , and Calculus Cheat Sheet ( )

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