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A companion single-variable calculus text, Difference Equations to Differential Equations is available here.
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| Chapter | Section | Date | PostScript | |
|---|---|---|---|---|
| Geometry of Rn | Introduction to Rn | 07-23-01 | ||
| Angles and the dot product | 07-23-01 | |||
| The cross product | 09-18-01 | |||
| Lines, planes, and hyperplanes | 07-23-01 | |||
| Linear and affine functions | 07-24-01 | |||
| Operations with matrices | 07-26-01 | |||
| Functions from R to Rn | Curves | 07-31-01 | Best affine approximations | 08-06-01 | Motion along a curve | 08-13-01 |
| Functions from Rn to R | Geometry, limits, and continuity | 09-07-01 | Directional derivatives and the gradient | 09-03-01 | Best affine approximations | 06-11-02 | Second-order approximations | 05-03-02 | Extreme values | 06-19-02 | Definite integrals | 07-24-02 | Change of variables in integrals | 07-29-02 |
| Functions from Rm to Rn | Geometry, limits, and continuity | 07-31-02 | Best affine approximations | 08-14-02 | Line integrals | 08-19-02 | Green's theorem | 08-22-02 |