ACMS 40485, Spring 2013
Hayes-Healy 231; T+Th 9:30-10:45AM
Course Syllabus
Course Organization
Instructor: Andrew Sommese (Hurley 156).
Email: sommese@nd.edu
Office Hours: After class and
by appointment.
Exam Schedule
Exam
1: Take home test: due Tuesday, February 19 at start of class.
Exam
2: Take home test: due Tuesday, March 26 at start of class.
Final:
Thursday, May 9, 10:30AM to 12:30PM in Hayes-Healy 231 (where our class
meets T + Th).
Handouts
RungeFunction Runge’s function showing a potential bad property of
inter-polation polynomials
AnalyticContinuation
Analytic continuation by means of differential equation marching methods
MonodromyProblem1Answer Worksheet for
the monodromy problem of homework 3.
Homework
Homework 9 (Due Tuesday, April 23)
Homework 8 (Due Thursday, April 11)
Problems
2, 3, 6 of Section 3.6;
8 of
Section 6.2; 1 of Section 6.3.
Homework 7 (Due Thursday, April 4)
Problems
1, 2, 5 of Section 6.1;
1, 3,
4, 5 of Section 6.2.
Homework 6 (Due Tuesday, Mar. 19) Answers
Problems
4, 11 of Section 4.3; 11f, 14 of Section 4.5;
6b, 7
of Section 4.6.
Homework 5 (Due Thursday, Mar. 7)
Problems
2, 13, 14 of Section 4.3; 2 of
Section 4.4;
11abc,
12, 13, 15 of Section 4.5.
Homework 4 (Due Tuesday, Feb. 26) Answers
Problems
10a (read over the other part) of Section 2.6;
3 of
Section 4.2; 1, 10 of Section 4.3; 5 of Section 4.4.
Homework 3 (Due Tuesday, Feb. 12) Answers
Problems
3 of Section 3.1; 3 of Section 3.4;
2abc
of Section 3.5; 1 of Section 3.6; and a monodromy
problem.
Homework 2 (Due Tuesday, Feb. 5) Answers
Problems
1, 2, 3, 6 of Section 2.3.
Homework 1
Make sure
you understand the review material! (Manipulating complex numbers, basic
residue integration, convergence of power series, Laurent series, exponential,
log, Euler’s relation, ...)
Click here to go to the
Society for Industrial and Applied Mathematics (SIAM) webpage: SIAM is the main
professional organization for applied mathematicians. The site has many interesting
illustrations of applied mathematics in practice.
Click here to go to the
Department of Applied and Computational Mathematics and Statistics (DACMS) home
page.
Click here to go to the
College of Science home page.
Click here to go to the University of
Notre Dame home page.