Math 341 - Computational Methods

Spring 2020 - Matthias K. Gobbert

Detailed Schedule - Last Updated 04/26/2020

This schedule is designed to give you an overview of the material to be covered and is tentative in nature. This is a living document and will be updated throughout the semester.
The section numbers refer to Kendall E. Atkinson and Weimin Han, Elementary Numerical Analysis, third edition, Wiley, 2004.
The numbers H1a, H1b, H2, H3, etc. in the Class column indicate the due date of the homework with that number.
The numbers Q1a, Q1b, Q1c, Q2a, etc. in the Main Topic column indicate the online quiz due before class on that day.

Class	Date	Main Topic	Section(s)
1	Tu 01/28	Overview
2, H1a	Th 01/30	Gaussian elimination: reduction in appended tableau, Q1a	6.1
3	Tu 02/04	Gaussian elimination: review of invertible matrix theorem, Q1b	6.3
4, H1b	Th 02/06	Gaussian elimination in Matlab/Octave, Q1c
5	Tu 02/11	Taylor's theorem in one dimension, Q2ab	1.1
6	Th 02/13	Taylor's theorem in Matlab/Octave
7, H2	Tu 02/18	Taylor's theorem in higher dimensions, Q2c	1.2
8	Th 02/20	Interpolation: existence and uniqueness, Q3a	4.1
9	Tu 02/25	Interpolation: Newton divided differences, error theorem, Q3b	4.1
10, H3	Th 02/27	Interpolation: problems with equidistant nodes, Matlab/Octave	4.2
11	Tu 03/03	Numerical differentiation: Taylor's theorem and methods, Q4a	5.4
12	Th 03/05	Numerical differentiation: errors and effect of round-off, Matlab/Octave, Q4b	5.4
13, H4	Tu 03/10	Review
14	Th 03/12	Class cancelled due to campus closure
	Tu 03/17	Spring Break
	Th 03/19	Spring Break
15	Tu 03/24	Midterm Exam
16	Th 03/26	Numerical integration: trapezoidal and Simpson rules, Q5ab	5.1-5.2
17, H5	Tu 03/31	Numerical integration in Matlab/Octave
18	Th 04/02	Numerical integration: Gauss-Legendre quadrature, Q5e	5.3
19, H6	Tu 04/07	Numerical integration: general Gaussian quadrature, Q5f	5.3
20	Th 04/09	Rootfinding: bisection, Newton, secant methods, Q7a, Q7b	3.1-3.3
21, H7a	Tu 04/14	Rootfinding: Newton's method in Matlab/Octave, Q7c
22	Th 04/16	Systems of non-linear equations: Newton's method, Q7e
23, H7b	Tu 04/21	Systems of non-linear equations: Newton's method in practice
24	Th 04/23	Numerical ODEs: problem and mathematical theory, Q8a	8.1
25	Tu 04/28	Numerical ODEs: basic methods, local truncation error, Q8b	8.2-8.3
26, H8	Th 04/30	Numerical ODEs: methods in Matlab/Octave
27	Tu 05/05	Numerical ODEs: method survey	8.4-8.6
28	Th 05/07	Computer numbers: IEEE-standard for floating-point numbers, Q9a	2.1
29	Tu 05/12	Review
	Tu 05/19	10:30-12:30 Final Exam Note the date and time!