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