Math 341 - Computational Methods

Spring 2022 - Matthias K. Gobbert

Detailed Schedule - Last Updated 04/10/2022

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 may 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 HW0, HW1, HW2, etc. in the Class column indicate homeworks "HW" due as PDF upload to Blackboard on that day.
The numbers BQ0a, BQ0b, BQ1a, etc. in the Main Topic column indicate online Blackboard quizzes "BQ" due before that class.
The numbers GQ0a, GQ1a, GQ2a, etc. in the Main Topic column indicate in-class group quizzes "GQ" during that class due as PDF upload.
These numbers in the detailed schedule are designed to show the teaching philosophy and learning techniques associated with each class meeting.
See the Assignments area of the Blackboard site for our course for the precise due dates and times.

Class	Date	Main Topic	Section(s)
1, HW0	Tu 02/01	BQ0a, BQ0b, IQ0, Introductions, Overview, GQ0a
2	Th 02/03	BQ1a, Gaussian elimination: reduction in appended tableau and in Matlab/Octave, GQ1a	6.1
3	Tu 02/08	BQ1b, Gaussian elimination: reduction in appended tableau and in Matlab/Octave	6.3
4, HW1	Th 02/10	BQ1c, Gaussian elimination in Matlab/Octave
5	Tu 02/15	BQ2ab, Taylor's theorem in one dimension	1.1
6	Th 02/17	Taylor's theorem in one dimensions, GQ2a
7, HW2	Tu 02/22	BQ2c, Taylor's theorem in higher dimensions, GQ2b	1.2
8	Th 02/24	BQ3a, Interpolation: existence and uniqueness	4.1
9	Tu 03/01	BQ3b, Interpolation: Newton divided differences, error theorem	4.1
10, HW3	Th 03/03	Interpolation: problems with equidistant nodes, Matlab/Octave	4.2
11	Tu 03/08	BQ4a, Numerical differentiation: Taylor's theorem and methods	5.4
12, HW4	Th 03/10	BQ4b, Numerical differentiation: errors and effect of round-off, Matlab/Octave, GQ4a	5.4
13	Tu 03/15	Review
14	Th 03/17	Midterm Exam
	Tu 03/22	Spring Break
	Th 03/24	Spring Break
15	Tu 03/29	BQ5ab, Numerical integration: trapezoidal and Simpson rules	5.1-5.2
16, HW5	Th 03/31	Numerical integration in Matlab/Octave, GQ5a
17	Tu 04/05	BQ5e, Numerical integration: Gauss-Legendre quadrature, GQ5e	5.3
18, HW6	Th 04/07	BQ5f, Numerical integration: general Gaussian quadrature	5.3
19	Tu 04/12	BQ7a, BQ7b, Rootfinding: bisection, Newton, secant methods	3.1-3.3
20, HW7a	Th 04/14	BQ7c, BQ7d, Rootfinding: Newton's method in Matlab/Octave, GQ7d
21	Tu 04/19	BQ7e, Systems of non-linear equations: Newton's method
22, HW7b	Th 04/21	Systems of non-linear equations: Newton's method in practice
23	Tu 04/26	BQ8a, Numerical ODEs: problem, local truncation error, GQ8a	8.1
24	Th 04/28	BQ8b, Numerical ODEs: basic methods, linear stability analysis	8.2-8.3
25, HW8	Tu 05/03	Numerical ODEs: method survey, methods in Matlab/Octave	8.4-8.6
26	Th 05/05	Numerical ODEs: stiffness in ODEs, GQ8b
27	Tu 05/10	BQ9a, Computer numbers: IEEE-standard for floating-point numbers, GQ9a	2.1
28	Th 05/12	Computer numbers: IEEE-standard for floating-point numbers	2.1
29, HW10	Tu 05/17	Review
	Tu 05/24	01:00-03:00 Final Exam Note the date and time!