Math 341 - Computational Methods

Summer 2020 - Matthias K. Gobbert

Detailed Schedule - Last Updated 05/25/2020

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 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.

Class	Date	Main Topic	Section(s)
1, HW1ab	Tu 05/26	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 05/28	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
3, HW3	Tu 06/02	BQ3a, Interpolation: existence and uniqueness	4.1
		BQ3b, Interpolation: Newton divided differences, error theorem	4.1
		Interpolation: problems with equidistant nodes, Matlab/Octave	4.2
4, HW4	Th 06/04	BQ4a, Numerical differentiation: Taylor's theorem and methods	5.4
		BQ4b, Numerical differentiation: errors and effect of round-off, Matlab/Octave, GQ4a	5.4
5, HW5	Tu 06/09	BQ5ab, Numerical integration: trapezoidal and Simpson rules	5.1-5.2
		Numerical integration in Matlab/Octave, GQ5a
		Review
6	Th 06/11	Midterm Exam
7, HW6	Tu 06/16	BQ5e, Numerical integration: Gauss-Legendre quadrature, GQ5e	5.3
		BQ5f, Numerical integration: general Gaussian quadrature	5.3
8, HW7a	Th 06/18	BQ7a, BQ7b, Rootfinding: bisection, Newton, secant methods	3.1-3.3
		BQ7c, Rootfinding: Newton's method in Matlab/Octave	3.3
9, HW7b	Tu 06/23	BQ7e, Systems of non-linear equations: Newton's method
		Systems of non-linear equations: Newton's method in practice
10, HW8	Th 06/25	BQ8a, Numerical ODEs: problem and explicit Euler, GQ8a	8.1
		BQ8b, Numerical ODEs: basic methods, local truncation error	8.2-8.3
		Numerical ODEs: method survey and methods in Matlab/Octave, GQ8b	8.4-8.6
11	Tu 06/30	BQ9a, Computer numbers: IEEE-standard for floating-point numbers, HW9	2.1
		Review
12	Th 07/02	Final Exam