Calculus Revisited Part 3 Study Guide
The Game of Mathematics

The following text files correspond to the video presentations.  They offer problems and completely worked-out and explained solutions. In addition you will find supplementary topics included in both the problems and solutions material.

For Part 3 supplementary topics click here.

 Block 1: Complex Variables
 

Complex Variables

Problems and Pretest

Solutions

Derivatives of complex valued functions
 

Problems

Solutions

Conformal Mapping

Problems

Solutions

Infinite Series of Complex Numbers
 

Problems

Solutions

Integrating Complex Functions
 

Problems and Quiz

Solutions

Block 2: Ordinary Differential Equations
 

Solutions of Differential Equations
 

Problems and Pretest

Solutions

Linear Differential Equations of Order 2
 

Problems

Solutions

Linear Homogeneous Differential Equations of Order 2
 

Problems

Solutions

Undetermined Coefficients
 

Problems

Solutions

Variation of Parameters

Problems

Solutions

Power Series Solutions
 

Problems

Solutions

LaPlace Transforms
 

Problems and Quiz

Solutions

Block 3: Linear Algebra

Vector Spaces - A Structural (Axiomatic) Definition
 

Problems and Pretest

Solutions

Spanning Vectors
 

Problems

Solutions

Constructing Bases
 

Problems

Solutions

Linear Transformations
 

Problems

Solutions

Determinants
 

Problems

Solutions

Eigenvectors
 

Problems

Solutions

Block 3: Enrichment Topics

The Dot Product Revisited
 

Problems

Solutions

Orthogonal Functions (Fourier Transforms)
 

Problems and Quiz

Solutions

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