| 11th - 15th September
|| Mon: Stable and Unstable Computations
Wed: Introduction to iterative methods and Bisection Method
|| 18th - 22nd September
|| Mon: Newton's Method and order of convergence
Wed: Secant Method and order of convergence
|| 25th - 29th September
|| Mon: Introduction to fixed point methods
Wed: Matrix Algebra and direct methods
Homework 01 due on 09/27!
|| 2nd - 6th October
|| Mon: Gauss Jacobi Method
Complexity and the computational work of an algorithm
Wed: Midterm 01!
|| 9th - 13th October
|| Mon: LU and Cholesky Decomposition
Wed: Matrix norms, Gauss Seidel Method
SOR Method and its convergence
Method of Steepest Descent
Midterm 01 corrections due on 10/16
|| 16th - 20th October
|| Mon: Method of Conjugate Gradients
Wed: Conditioning and Growth of the Spectral Conditioning
Homework 02 due on 10/18!
|| 23rd - 27th October
|| Mon: Linear Least Squares Method
Wed: Polynomial Interpolation: Lagrange, Newton's Divided Differences
|| 30th October - 3rd November
|| Mon: Chebyshev Polynomials, Hermite Interpolation
Trigonometric interpolating polynomials, Fourier Transformations
Wed: Convergence analysis of interpolating polynomials
Homework 03 due on 11/01!
DROP DATE FOR COURSE IS 11/03!
|| 6th - 10th November
|| Mon: Numerical Integration
Wed: Numerical Differentiation
|| 13th - 17th November
|| Mon: MIDTERM 02!
Wed: Numerical Solutions of ODEs: One Step Methods
|| 20th - 24th November
|| Mon: Numerical Solutions of ODEs: Runge Kutta Methods
Th: HAPPY THANKSGIVING!
|| 27th - 30th November
|| Mon: Numerical Solutions of ODEs: Multistep Methods
Wed: Additional Topics
Homework 04 due on 11/27!