Calculus Revisited
Part 2 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 2 supplementary topics click here.

Block
1: Mathematical Structure and Vectors

The Game of Mathematics

Problems and Pretest

Solutions

Vectors Revisited  Arrow Arithmetic

Problems

Solutions

3dimensional Vectors

Problems

Solutions

The Dot Product

Problems

Solutions

The Cross Product

Problems

Solutions

Lines And Planes

Problems and Quiz

Solutions

Block 2: Functions

Vector Functions of Scalar Variables

Problems and Pretest

Solutions

Tangent and Normal Vectors

Problems

Solutions

Polar Coordinates

Problems

Solutions

Vectors and Polar Coordinates

Problems and Quiz

Solutions

Block
3: Real Valued Functions of Several Real Variables

ndimensional Vector Spaces

Problems and Pretest

Solutions

Introduction to the Calculus of Several Variables

Problems

Solutions

The Directional Derivative

Problems

Solutions

The Chain Rule

Problems

Solutions

Integrals Involving Parameters

Problems

Solutions

Exact Differentials

Problems and Quiz

Solutions

Block 4: Matrix Algebra

Linearity Revisited

Problems and Pretest

Solutions

Matrix Algebra

Problems

Solutions

Inverting a Square Matrix

Problems

Solutions

Inverting General Systems of Equations

Problems

Solutions Part 1
Solutions Part 2

Maxmin Problems in Several Variables

Problems and Quiz

Solutions

Block 5: Line Integrals along closed curves (Green's Theorem)

Double (Multiple) Sums

Problems and Pretest

Solutions

The Fundamental Theorem

Problems

Solutions

Multiple Integrals and the Jacobian

Problems

Solutions

Line Integrals

Problems

Solutions

Green's Theorem

Problems and Quiz

Solutions
