Calculus Revisited
Part 3 Study Guide The Game of Mathematics
The following text files correspond to the video presentations. They offer problems and completely workedout
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
