Calendar
| LEC # | TOPICS | KEY DATES |
|---|---|---|
| 1 | Euclidean Geometry in 3 Dimensions Geometric Proofs | |
| 2 | Geometric Vectors and Vector Algebra | |
| 3 | Vector Algebra with Cartesian Coordinates | |
| 4 | Analytic Geometry in 3 Dimensions | |
| 5 | Calculus of 1-Variable Vector Functions | |
| 6 | Calculus of Vector Functions | Problem set 1 due |
| 7 | Paths and Curves | |
| 8 | Scalar Fields Cylindrical Coordinates | Problem set 2 due |
| 9 | Linear Approximation and Differentiability | |
| 10 | Linear Approximation and Gradient The Chain Rule | Problem set 3 due |
| Exam 1 (Covers through Lecture 8) | ||
| 11 | Elimination Method for the Chain Rule | |
| 12 | Terminology for Point-Sets in Euclidean Spaces Maximum-Minimum Theorems | |
| 13 | Two-Variable Test Constrained Maximum-Minimum Problems | Problem set 4 due |
| 14 | Multiple Integrals | |
| 15 | Iterated Integrals | Problem set 5 due |
| 16 | Integrals in Polar, Cylindrical, and Spherical Coordinates | |
| 17 | Curvilinear Coordinates Change of Variables | |
| 18 | Change of Variables (cont.) Vector Fields | Problem set 6 due |
| 19 | Visualizing Vector Fields Line Integrals | |
| 20 | Vector Line Integrals Conservative Fields | Problem set 7 due |
| Exam 2 (Covers Lecture 9 through 17) | ||
| 21 | Line Integrals (cont.) Conservative Fields (cont.) | |
| 22 | Surfaces | |
| 23 | Surface Integrals | Problem set 8 due |
| 24 | Measures | |
| 25 | Green's Theorem | Problem set 9 due |
| 26 | Divergence and the Divergence Theorem | |
| 27 | Curl and Stokes' Theorem | |
| 28 | Measures (cont.) Irrotational Fields | Problem set 10 due |
| 29 | Mathematical Applications | |
| Exam 3 (Covers Lecture 17 through 29) | ||
| 30 | n-Vectors and Matrices | Problem set 11 due |
| 31 | Equation Systems | |
| 32 | Row Reduction Determinants | |
| 33 | Determinants (cont.) Matrix Algebra | |
| 34 | Subspaces | Problem set 12 due |
| 35 | Multivariable Calculus in Higher Dimensions |
