Teaching

MAT 423: Numerical analysis I

Fall 2018

Class Time M,W 10:30am – 11:45am
Class Location Tempe – WXLRA 113
Instructor S├ębastien Motsch
Office WXLRA 836
Email smotsch@asu[dot]edu
Office Hours M,W 12:00pm – 1:00pm
Class webpage www.seb-motsch.com/teaching

Textbook

  • Richard L. Burden, J. Douglas Faires, Numerical Analysis (9th or 10th edition)

Supplementary:

  • Gilbert Strang, Linear algebra and its applications
  • Lloyd N. Trefethen, David Bau III, Numerical linear algebra.

Course description

  1. Solving non-linear scalar equation: f(x)=0 (Chap. 2)
  2. Linear systems: Ax=b (Chap. 6-7,9)
  3. Solving non-linear systems (Chap. 10)
  4. Linear programming (Chap.8 from Strang’s book)

The Mid-term is scheduled on for Wednesday October 3rd in class.

Class Schedule

Aug 20 – 22 Presentation course – Review calculus (Taylor polynomial)
Aug 27 – 29 Bisection and Newton method, fixed-point iteration (2.1-2.3)
Sep 5 Linear systems, Gauss elimination (6.1-6.2)
Sep 10 – 12 Matrix factorization (LU), special matrices (6.2-6.6)
Sep 17 – 19 Norms and eigenvalues, iterative methods (7.1-7.3)
Sep 24 – 26 iterative methods (7.3-7.4)
Oct 1 – 3 Review (Practice midterm, solution), Midterm
Oct 10 Conjugate gradient method (7.6)
Oct 15 – 17 Non-linear systems – fixed points (10.1)

Class homework

Aug 27 HW 1, solution
Sep 5 HW 2, solution
Sep 12 HW 3, solution
Sep 19 HW 4, solution
Sep 26 HW 5, solution
Oct 1-3 Mid-term (solution)
Oct 17 HW 6