MAT230

Lesson (Power Point)	Maple Notes
12.1 Functions of Two Variables	12.1
12.2 Graphs of Functions of Two Variables	12.2
12.3 Contour Diagrams	12.3
12.4 Linear Functions	12.4
12.5 Functions of 3 Variables	12.5
13.1 Displacement Vectors	13.1
13.2 Vectors in General
13.3 The Dot Product
13.4 The Cross Product
14.1 The Partial Derivative
14.2 Computing Partial Derivatives Algebraically
14.3 Local Linearity and the Differential	14.3
14.4 Gradients and the Directional Derivative in the Plane	14.4
14.5 Gradients and the Directional Derivative in Space
14.6 Chain Rule
14.7 Second-Order Partial Derivatives	14.7
15.1 Local Extrema	15.1
15.2 Optimization	15.2
15.3 Constrained Optimization: Lagrange Multipliers	15.3
16.1 Definite Integral of a Function of Two Variables	16.1
16.2 Iterated Integrals	16.2
16.3 Triple Integrals	16.3
16.4 Double Integrals in Polar Coordinates	16.4
16.5 Integrals in Cylindrical and Spherical Coordinates	16.5
17.1 Parameterized Curves	17.1
17.2 Position, Velocity and Acceleration	17.2
17.3 Vector Fields	17.3
17.4 The Flow of a Vector Field	17.4
17.5 Parameterized Surfaces	17.5
18.1 The Idea of a Line Integral
18.2 Computing Line Integrals over Parameterized Curves	18.2
Section 18.3 Gradient Fields and Path-Independent Fields
Section 18.4 Path-Dependent Vector Fields and Green's Theorem
Surface Area and Surface Integrals	Surface Integrals
Stokes' Theorem	Stokes' Theorem
Divergence Theorem (Gauss' Theorem)	Divergence Theorem

Syllabus	Schedule	Assignments
Maple Resources	Table of Derivatives	MathServ Calculus Toolkit
Visual Calculus	Wolfram MathWorld	Antiderivative/Integral Tutorial
Integration Notes	Table of Elementary Indefinite Integrals	How to Access Maple
Notes on Surface Integrals	Notes on Stokes' Theorem	Notes on Divergence Theorem
Math Videos

Syllabus (pdf)	Schedule	Assignments
Maple Resources	Table of Derivatives	MathServ Calculus Toolkit
Visual Calculus	Crocodile Clips	Antiderivative/Integral Tutorial
Integration Notes	Table of Elementary Indefinite Integrals	Accessing Serverspace
Displacement, Velocity, and Acceleration in Maple	Dot and Cross Products with Maple	Visualizing Vectors
Visualizing 2nd Derivative Test	Group Project 1	Group Project 2
Extra Credit Project 1	Extra Credit Project 2

Syllabus (Word Document)	Schedule	Assignments
Maple Resources	Table of Derivatives	MathServ Calculus Toolkit
Visual Calculus	Crocodile Clips	Antiderivative/Integral Tutorial
Integration Notes	Table of Elementary Indefinite Integrals	Accessing Serverspace
Displacement, Velocity, and Acceleration in Maple	Dot and Cross Products with Maple	Visualizing Vectors