MA 224 -- section 1, Fall, 2007
Introduction to Applied Mathematics
Instructor: Dr. Xingzhou Yang
416 Stanley Thomas Hall
Center for Computational Science
Phone: (504) 862-3373
Fax: (504) 862-8392
Email:
Web: http://www.ccs.tulane.edu/~xyang4
brief introduction
syllabus: click
Text Book: Differential Equations,
by Polking, Boggess and Arnold, second edition
Software: The Student Edition of Matlab, version 7/6/5.3/5.2/earlier
Additional Software:
dfield7.m pplane7.m
(MATLAB 7.0 or later version required),
for earlier versions, please check out
http://math.rice.edu/~dfield/.
My schedule: Please click here
Tulane Blackboard login:
http://tulane.blackboard.com
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Final exam: Time: Tuesday, Dec 11. Room: Gibson Hall 310
Final exam covers section 2.1--section 10.2 (see our syllabus).
Review all the sections covered -- in the textbook,
your notes, and quizzes/tests.
-- Sample final exams of past years:
link
-- Office hours on Monday (Dec 10): 10:00am--5:30pm except 2:45-4:15pm.
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Test 3 (Thurs, Nov 29) covers section 5.6, 7.1-7.5, 8.1-8.5, 9.1-9.4.
Solutions: pdf
Matlab command to find eigenvalue(s): eig(A)
Matlab command to find the characteristic polynomial:
det( lambda*eye(n,n) - A) % suppose the size of A is nxn.
Matlab command to find the eigenvector(s):
null( lambda*eye(n,n) - A) % suppose the size of A is nxn.
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Project 2 (Due Monday, Dec 10) download: pdf
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Quiz 7 (due Tuesday, Nov 20) pdf
Solutions: pdf
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Phase plane plot & pplane7:
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Quiz 6 (Thursday, Nov 8) covers sections
5.6, 7.1--7.5.
Solutions: pdf.
Matlab version solutions: q6_ans.m
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Matlab practice problems for Chapter 7:
matrix_practice_problems.txt.
- All the past quiz/test grades have been posted on
blackboard.
Please let me know if any record is incorrect. Thanks.
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Test 2 (Thursday, Oct 25) covers sections
4.1, 4.3, 4.4, 4.5, 4.7, 6.1, 5.1--5.5.
Solutions: pdf
Laplace transform table/formulas
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Project 1 (Due date: Monday, Oct 29) download:
pdf (updated)
matlab help
help at blackboard (login required)
-- For the last population model in problem 1, please change
`h=5 & P(0)=10'.
-- Example using rk2 & ode45:
matlab code --
1
2
-- Matlab code solving algebraic equation: solve('3*P^2 + 2*P - 1 = 0')
Submit one report with all names in your group
printed and signed on the first page.
Each member in your group should agree that
he/she has thoroughly understood everything
(solutions, codes, etc) in the submitted report.
Each member will receive the same grade.
-- Tulane Academic Integrity
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Quiz 5 Program part ( pdf, 20pts )
Due: Thursday, Oct 18 (Please submit matlab code ONLY);
editor/sample file (login required).
My version:
matlab code,
pdf,
Figures:
fig-1.png,
fig-2.png.
2 figs in pdf.
Non-program part (Thurs Oct 18, 30pts)
covers sec 6.1, sec 5.1--5.4.
Solutions: pdf
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Quiz 4 (Thursday, Oct 11) covers sections 4.5, 4.7.
Solutions: pdf
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Quiz 3 (Thursday, Oct 4) covers sections 4.1, 4.3, 4.4.
Solutions: pdf
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Test 1 (Thursday, Sep 27) covers sections sec 2.1 -- sec 3.1.
Solutions: pdf
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Quiz 2 (Thursday, Sep 20) covers sections after quiz 1 befor quiz 2.
Solutions: pdf.
Matlab codes available: click here for more details.
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Quiz 1 (Thursday, Sep 6) covers sections 2.1 & 2.2.
Solutions: pdf
© Xingzhou Yang , 2007