MAT 271

Spring 2012
 

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    

Labs

Computer Labs
Intro
Lab 1
Lab 2
Lab 3
Lab 4

Lessons

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

Spring 2009

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  

Spring 2007

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


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