| Date | Section | Homework | Hwk Due Date |
|---|---|---|---|
Overview Lecture 1 [pdf] |
|
|
|
| |
|
||
Vector subspaces Lecture 2 [pdf] |
|
|
|
Linear Transformations |
|
|
|
Parametrized Curves Lecture 3 [pdf] |
|
|
|
Analysis for Parametrized Curves |
|
|
|
Differentiability, Tangent Lines Simple arcs Lecture 4 [pdf] Lecture 4B (Corrections to pp. 10-11) [pdf] |
|
|
|
| IQ Hwk 1 [html] |
|
||
Differentiability and Linear Approximation Lecture 5 [pdf] |
|
|
|
Scalar Fields: Continuity and Differentiability Lecture 6 [pdf] |
Hwk 5 [pdf] |
Hwk 5: Th Mar 10 |
|
| |
|
||
| |
|
||
Chain Rule for Functions on Curves Lecture 7 [pdf] |
|
|
|
Smooth Surfaces Lecture 8 [pdf] |
|
|
|
General Vector-Valued Functions Lecture 9 [pdf] |
|
|
|
BREAK |
|
|
|
General Chain Rule |
|
|
|
Inverse Function Theorem Lecture 10A [pdf] Lecture 10B [pdf] |
|
|
|
| |
|
||
Implicit Function Theorem Lecture 11A [pdf] Lecture 11B [pdf] |
newton.m |
|
|
Lecture 11D [pdf] |
|
|
|
Double Integrals Lecture 12A [pdf] |
|
|
|
Green's Theorem Meaning of Curl and Div Lecture 12B [pdf] Lecture 12C [pdf] |
|
|
|
| |
|
||
Parametrized Surfaces Lecture 13A [pdf] |
|
|
|
Parametrized Surfaces: Tangents and Normals Lecture 13B [pdf] |
|
|
|
Parametrized Surfaces: Orientation and Area |
|
|
|
Surface Integrals: Functions and Vector Fields Lecture 14A [pdf] Lecture 14B [pdf] |
|
|
|
Stokes and Divergence Theorems |
|
|
|
Lecture 15 [pdf] |
|
|
|
| MP 010 |
|