| Date |
Topics |
| Aug 26 |
Homogeneous Coordinates |
| Aug 28 |
Homogeneous Transformations |
| Sep 2 |
Perspective and Parallel Projections |
| Sep 4 |
Classification of Projections |
| Sep 9 |
Rotation Sequences |
| Sep 11 |
Quaternions |
| Sep 16 |
Parametric Curves |
| Sep 18 |
Curvature |
| Sep 23 |
Closed Curves and Space Curves |
| Sep 25 |
Arbitrary-Speed Curves |
| Sep 30 |
Algebraic Curves |
| Oct 2 |
Surfaces |
| Oct 7 |
First & Second Fundamental Forms |
| Oct 9 |
Gaussian and Mean Curvatures |
| Oct 14 |
Bisection, Secant & Newton's Methods |
| Oct 16 |
Midterm |
| Oct 21 |
Roots of Polynomials |
| Oct 23 |
Multiplication of Polynomials (FFT) |
| Oct 28 |
Solution of Linear Equations |
| Oct 30 |
Singular Value Decomposition |
| Nov 4 |
Data Fitting & Least Squares |
| Nov 6 |
Approximation by Orthogonal Polynomials |
| Nov 11 |
Approximation by Trigonometric Polynomials
(Fourier Transform) |
| Nov 13 |
Nonlinear Optimization |
| Nov 18 |
Lagrange Multipliers |
| Nov 20 |
Calculus of Variations |
| Dec 2 |
Several Variational Problems |
| Dec 4 |
Linear Programming |
| Dec 9 |
Simplex Method |
| Dec 11 |
Final |