00. General comments

Getting MAPLE

0. Tutorials

Getting started

1. Calculus

Introduction

Differential calculus

Integral calculus

2. Intro DiffEqs

a. Modelling. Numerical

b. 2ns order linear etc.

c. Very old: 1995

d. others

3. Linear Algebra

4. Multivariable and             Vector calculus

a. Functions of 2 variables

b. Vectors in 2 and 3 space

c. Parameterized curves

d. Partials/optimization

e. Iterated Integrals

f. Parameterized surfaces

g. Vector fields in plane

h. Vector fields 3 space

i. Explorations

5. Basic Structures

a. Recursion/induction

b. Advanced calculus

c. Abstract algebra

d. Geometry

6. Differential Eqns

a. Lin DEs

b. E and U

c. Stability

d. Advanced geometry

7. Partial DiffEqns/Fourier

a. Fourier series

b. Fourier integrals

c. PDEs 1dim

d. PDEs 2dim

e. PDEs advanced

8. Complex Analysis

9. Diff. Geometry

a. Curves & surfaces

b. Diff manifolds

c. R-manifolds, curvature

10. Control Theory

a. Geometric Control