Math 341 - Computational Methods

Summer 2021 - Matthias K. Gobbert

Detailed Schedule - Last Updated 03/12/2021

The synchronous class meetings are online, on Mondays, Tuesdays, and Thursdays, 01:00-03:05, June 01 to July 08, 2021, in Blackboard Collaborate.
Notice: Monday, May 31, 2021 is Memorial Day holiday and no class; but you should use the time to start the reading, since there is a lot at the beginning of the class. Please, see the detailed schedule below for more information.
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 HW1ab, HW2, HW3, etc. in the Class column indicate homeworks "HW" due as PDF upload to Blackboard on that day.
The numbers BQ1a, BQ1b, BQ2ab, 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. Cautions: Notice that some classes below consist of two lines of schedule. Class 0 is not a class at all, but a reminder that BQ0a, BQ0b, IQ0, and HW1a are due one day before the first synchronous class meeting.

Class	Date	Main Topic	Section(s)
	Week 1:
0, HW0	Mo 05/31	No synchronous class meeting! Reading and Taped Lecture: Modules 0 and 1, BQ0a, BQ0b, IQ0, HW0
1, HW1	Tu 06/01	BQ1a, Gaussian elimination: reduction in appended tableau, GQ0a	6.1
		BQ1b, Gaussian elimination: review of invertible matrix theorem, GQ1a	6.3
		BQ1c, Gaussian elimination in Matlab/Octave
2, HW2	Th 06/03	BQ2ab, Taylor's theorem in one dimension	1.1
		Taylor's theorem in Matlab/Octave
		BQ2c, Taylor's theorem in higher dimensions, GQ2a, GQ2b	1.2
	Week 2:
3	Mo 06/07	BQ3a, Interpolation: existence and uniqueness	4.1
		BQ3b, Interpolation: Newton divided differences, error theorem	4.1
4, HW3	Tu 06/08	Interpolation: problems with equidistant nodes, Matlab/Octave	4.2
5, HW4	Th 06/10	BQ4a, Numerical differentiation: Taylor's theorem and methods	5.4
		BQ4b, Numerical differentiation: errors and effect of round-off, Matlab/Octave, GQ4a	5.4
	Week 3:
6, HW5	Mo 06/14	BQ5ab, Numerical integration: trapezoidal and Simpson rules	5.1-5.2
		Numerical integration in Matlab/Octave
7	Tu 06/15	Review, GQ5a
8	Th 06/17	Midterm Exam
	Week 4:
9, HW6	Mo 06/21	BQ5e, Numerical integration: Gauss-Legendre quadrature, GQ5e	5.3
		BQ5f, Numerical integration: general Gaussian quadrature	5.3
10	Tu 06/22	BQ7a, BQ7b, Rootfinding: bisection, Newton, secant methods	3.1-3.3
11, HW7a	Th 06/24	BQ7c, Rootfinding: Newton's method in Matlab/Octave	3.3
	Week 5:
12, HW7b	Mo 06/28	BQ7e, Systems of non-linear equations: Newton's method
13	Tu 06/29	BQ8a, Numerical ODEs: problem and explicit Euler, GQ8a	8.1
14, HW8	Th 07/01	BQ8b, Numerical ODEs: basic methods, local truncation error	8.2-8.3
		Numerical ODEs: method survey and methods in Matlab/Octave	8.4-8.6
	Week 6:
	Mo 07/05	Independence Day observed, no class meeting
15	Tu 07/06	Review
16	Th 07/08	Final Exam