Mathematics 224- 04
Introduction to Applied Mathematics

Syllabus

Spring,  2006

Instructor: Dr. David Yang
Office: Gibson Hall  400B
 Office Hours: MWF 10:00-10:50 or by appointment

Phone: 862-3453
E-mail: dgy@math.tulane.edu

TA : Vivian Aranda

Office: Gibson

Office Hours: TBA

Phone: TBA

Text: Differential Equations, 1st ed.,  by Polking, Boggess and Arnold

Software: The Student Edition of Matlab, version 7/6/5.3/5.2/earlier
 
 

Course Grade

The semester letter grade will be given based on your performance in two tests (40%), the final exam(35%), quizzes (10 %), and 2 projects(15%). It is the policy that missing the final exam or failing to turn in any reasonable effort on any single project will automatically result in an "F" grade for the course.

Final Exam


TBA
 

Tests and Quizzes

There will be two (2) tests during the semester. Quizzes will be given weekly in Lab class( except in test weeks). There will be no make-up quizzes and generally no make-up tests. However, in some extreme cases, if you are forced to miss the test, you must notify me within three (3) days of the date of the test, preferably before the test is given. For the Final Exam, you must notify me before or on the date of the exam. An excuse from your doctor or other appropriate authorities must be presented at that time.

The  tentatively dates for tests are 

Projects

There will be  2 group projects.  Each group should be of the size of no more than 4 people. Everyone in the group should contribute substantially. NO LATE OR POORLY WRITTEN PROJECTS WILL BE ACCEPTED.

Homework

Homework will not be collected. However, some homework problems, with or without slight modifications, will appear in quizzes and tests. (So will the examples that I work on in my lectures.) Thus it is absolutely imperative to work on each of the problems assigned below, preferably in group discussions.

Matlab

This course makes use of MATLAB®, which is a program for mathematical computation, analysis, visualization, and algorithm
development. Students are required to have their own copy. The Student Version (PC or Linux; not available for Mac) is
reasonably priced (under $100) and can be bought at the Tulane Bookstore or online at
http://www.mathworks.com/products/studentversion/. You will need three auxiliary differential equation files:  http://math.rice.edu/~dfield . (Be sure that the version of the auxiliary files matches your version of MATLAB.) The three files go in the directory  toolbox\local  of  the MATLAB directory on your PC.

Homework Problems:
 
Section Problems                                          
2.1 3, 7,10,13,18,21,22,31
2.2 2, 3,9,14,17,35
2.3 7, 8,13,14.
2.4 2,3,10,13,18,19, 22
2.5 1, 3,6,8.
2.7 1,2,3,7,9,11,21,25,27,29,31
2.9 7,8,9,10,11,16,17,18,19,21,23,27,30
3.1 1,3,9,11,12,15,18
4.1 1,2,5,6,9,10,12,15,16
4.3 1,2,7,9,10,13,14,16,19,20,22,29
4.4 1,4,7,8,11,13,14,17,19,24
4.5 1,2,10,11,14,18,24,25,31,32,40,41,45
4.7 2,7,9,10,12,13,31,32
5.1 1,3,5, 15,17,19,21,23,31
5.2 1,2,3,5,19,23,27,29,31,35,37,41
5.3 1,3,4,5,7,9,15,17,19,21,23
5.4 1,3,11,19
5.5 1,3,5,7,11,12,13,17,19,21,23,25
5.6 2,3,4,8.
6.1 1,2,3
Chapt 7, Lesson 1 page 347: 12,14,16,17,31,33,37,41,49,53,54
Chapt 7, Lesson 2 page 361: 11,17,19. 
page 369: 9,11,14.
page 383: 3,5,6.
Chapt 7, Lesson 3 page 383: 9,13,15.
page 394: 23,25,27,31,37
8.1 1,4,6,7,11,13,16,17,33
8.2 13,15,17,19,21,27,28.
8.3 1,3,7,9,10,12,13
8.4 1,2,3,24,30,31,34,40
9.1 1,3,9,11,14,17,19,24,25,27
9.2 1,3,7,9,22,23,25,29,31,36,37,39,41
9.3 1,10,11,12,16,17,20,21,27,29,31,33,37,42,43
9.4 3,7,9,11,13,19,25
9.6 1,3,10,12,13,14,16
10.1 1,3,5,9,11,13
10.2 1,7,9,11,14,21
10.3 1,5,9,10,11
10.4 1,5,23,25