Department of Mathematics

MATH 5720, Section 001, Spring 2009
TTh 10:45AM-12:05PM, LCB 323 (LeRoy Cowles Building)

Introduction to Applied Mathematics II

Instructor:

 Damon Toth
LCB 315 (LeRoy Cowles Building)
tel: 585-7657
fax: 581-4148
toth[at]math[dot]utah[dot]edu
Office Hours:
TBA

Course description Prerequisites Textbook Syllabus Schedule Grading Resources

Course Description

Fourier methods, initial value problems in ODEs and PDEs, conservation laws, network flows and combinatorics, optimization. We will sample each of the above topics, many of which could be the topic of its own course. By the end of the semester, students should have a good base for further study in this variety of important topics in advanced applied mathematics.

Prerequisites

Students definitely should have already taken both Ordinary and Partial Differential Equations (such as Math 2250 and 3150). A course in Complex Variables (such as Math 3160) would also be helpful. Students having taken the prequel (Math 5710) will have an advantage, but it should be possible to succeed in this course without having taken 5710. Please talk to the instructor if you have concerns about your preparation.

Textbook

Introduction to Applied Mathematics, by Gilbert Strang

The course is mostly based on the topics in this text, and homework problems will be assigned from the book.

Syllabus

Main topics of the course (subject to minor adjustments): In the textbook, the above topics are from Chapters 4, 6, 7, and 8.

Schedule

Assigned Date Due Date Homework Problems / Handouts
First day of class Tues. Jan. 13
Homework #1 Thurs. Jan. 15 Thurs. Jan. 22 4.1.1, 4.1.2, 4.1.4, 4.1.8
Homework #2 Thurs. Jan. 22 Thurs. Jan. 29 4.1.10, 4.1.13, 4.1.16,
4.1.18(b and c only), 4.1.34
Homework #3 Thurs. Jan. 29 Thurs. Feb. 5 4.2.1, 4.2.2, 4.2.4, 4.2.5, 4.2.7, 4.2.8
Homework #4 Thurs. Feb. 5 Thurs. Feb. 12 4.3.1, 4.3.2, 4.3.3, 4.3.8, 4.3.10, 4.3.12
Homework #5 Thurs. Feb. 12 Thurs. Feb. 19 6.1.1, 6.1.2, 6.1.3, 6.1.4, 6.1.5, 6.1.6,
6.1.8, 6.1.11
Homework #6 Thurs. Feb. 19 Thurs. Feb. 26 6.1.13, 6.1.15, 6.1.18, 6.1.20, 6.1.21
Midterm Exam (in class) Thurs. Mar. 5
Homework #7 Thurs. Feb. 26 Thurs. Mar. 12 6.2.1, 6.2.3, 6.2.4, 6.2.7, 6.2.9, 6.2.13
No Class (spring break!) Tues. Mar. 17
No Class (spring break!) Thurs. Mar. 19
Homework #8 Thurs. Mar. 12 Thurs. Mar. 26 HW8.pdf
Homework #9 Thurs. Mar. 26 Thurs. Apr. 2 6.3.1, 6.3.2, 6.3.5
Homework #10 Thurs. Apr. 2 Thurs. Apr. 9 6.3.17(a,b,c), 6.3.20, 6.4.1, 6.4.5, 6.4.6
Homework #11 Thurs. Apr. 9 Thurs. Apr. 16 6.4.11, 6.4.12, 6.4.13, 6.4.15
Homework #12 Thurs. Apr. 16 Thurs. Apr. 23 HW12.pdf
Last day of class Tues. Apr. 28
No class (Reading Day) Thurs. Apr. 30
Final Exam Take-Home Portion Tues. Apr. 28 Wed. May. 6
Final Exam Wed. May 6 10:30AM-12:30PM, in our classroom

Grading

There will be 12 homework assignments due in class. Check the above schedule for due dates (subject to change, so check back often). Homeworks constitute 50% of the final grade.
There will be a midterm exam accounting for 20% of the final grade, and a final exam accounting for 30% of the final grade. A portion of the final exam will be given as take-home problems on the last day of class, to be handed in at the in-class final.

Resources

The author of the textbook, Gilbert Strang, teaches courses that cover some of this material at MIT, and the course materials (including videos of his lectures) from some recent semesters are available to the general public. Try Math 18.085 and Math 18.086 for course material on topics we're covering.

Students with disabilities may contact the instructor at the beginning of the semester to discuss special accomodations for the course.

<toth[at symbol]math[dot]utah[dot]edu>