Course Schedule


The following is a tentative schedule of the topics we will be discussing in class.

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