MTH 649 SYLLABUS
SPRING 2009
REVISED 2/20/09
Instructor: Prof. C. O. Bloom
E-Mail: cobloom@acsu.buffalo.edu
Office: 230 Mathematics Building
Office Hours: Tuesday. 2:00 - 3:00 PM, Thursday. 2:00 - 3:00 PM, and
by appointment
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Lectures: Tuesday, Thursday, 9:30-10:50 A.M., 250 MATH
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Text #1(Required):
Title: Partial Differential Equations (Graduate Studies in Mathematics, Vol.
19)
Author: Lawrence C. Evans
Publisher: American Mathematics Society (1998)
Text #2(Required):
Title: Introduction to Partial Differential Equations with Applications
Author: Zachmanoglou & Thoe
Publisher: Dover
From Text 1 selected Topics from the following list:
1. Introduction
Part I: Representation Formulas for Solutions
2. Four Important Linear PDE
3. Nonlinear First Order PDE
4. Other Ways to Represent Solutions
From Text 2 selected Topics from the following list:
Chapter 1- Sections: 1.1-1. 4
Chapter 2- Sections: 2.1-2.4
Chapter 3 -Sections: 3.1-3.4
Chapter 6-Sections: 6.1-6.5
Chapter 7- Sections: 7.1-7.13
Chapter 8-Sections: 8.1-8.8
Chapter 9-Sections: 9.1-9.4
Chapter 10-Sections: 10.1-10.4
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Grading: Your final grade will be computed in the following way.
1. Homework problems will be given regularly in class. They will also be posted on
the website. The assignments will be collected and selected assignments will be
graded.
2. There will be one midterm exam (tentative date: Monday, March 3), and one final
exam (date TBA). Your course grade will be determined as follows: 25% homework
+ 25% midterm exam + 50% final exam
Letter grades (plus and minus) will be given.
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Tests
Date Due
Time and Location
FINAL EXAM
Read
Assigned Problem
Date
Assigned
Submit for
Grading
Text 1: Introduction,
Sections 1.1—1.3
Text 1: Appendix A.2A.6
Text 2: Chap. 6,
Sections 1-5 (Eqs. Of
Math Physics)
Text 1:
Text 2: 1.1-1.3, p.173
(Laplace’s Equation)
Text 2: 2.1-2.5, 2.7 pp.
178-9 (Laplace’s
Equation)
Text 2: 3.2, 3.3, 3.5 p.186
(Laplace’s Equation)
Text2:
1/13/09 Prob.2.7, pp. 178-9
Due 1/22/09 (Tues.)
Text 1: Chap. 2, Section
2.1, 2.2
Text 1:
Appendix C.1-C.3
Text 2: Chap. 7,
Sections 1-4 (Laplace’s
Equation)
Text 1:
Text 2: 1.1-1.3, p.173
(Laplace’s Equation)
Text 2: 2.1-2.5, 2.7 pp.
178-9 (Laplace’s
Equation)
Text 2: 3.2, 3.3, 3.5 p.186
(Laplace’s Equation)
Text 2:
1/22/09 Prob. 3.2, p.186
Due 1/27/09
Text 1:
Text 2: 1.1-1.3,
p.173(Laplace’s
Text 1:Chap. 2, Section Equation)
2.1, 2.2
Text 1: Text 2: 2.1-2.5, 2.7 pp.
Appendix C.1-C.4
178-9 (Laplace’s
Text 2: Chap. 7,
Equation)
Sections 4-7, 9
Text 2: 3.2, 3.3, 3.5 p.186
(Laplace’s Equation)
(Laplace’s Equation)
Text 2: 5.1, 5.2, 5.4, 5.5,
5.6, 5.7 (Laplace’s
Equation)
Text 2:
1/27/09 Prob. 9.1, p.226
Due 2/3/09
Text 1:Chap. 2, Section
2.1, 2.2
Text 1: Appendix C.1C.4
Text 2: Chap. 7,
Text 1:
Text 2: 1.1-1.3, p.173
(Laplace’s Equation)
Text 2: 2.1-2.5, 2.7 pp.
178-9 (Laplace’s
2/05/09
Homework
problem #4
Due 2/10/09
Sections 4-7, 9
(Laplace’s Equation)
Equation)
Text 2: 3.2, 3.3, 3.5 p.186
(Laplace’s Equation)
Text 2: 5.1, 5.2, 5.4, 5.5,
5.6, 5.7 pp. 196-197
(Laplace’s Equation)
Text 2 (Heat Equation):
Sect. 9.1: Prob. #1.1, 1.6,
1.7 p. 335-336
Text 2: Chap. 9 (Heat Text 2 (Heat Equation):
Equation): Sect. 9.1, Sect. 9.2: Prob.# 2.9, 2.10
9.2, 9.3
p. 343
Text 2 (Heat Equation):
Sect. 9.3: Prob. # 3.1- 3.9,
3.12, 3.13, 3.14 p. 347-348
Text 2(Heat Equation):
Text 1: Chap.2 (Heat 4.1, 4.3, 4.5, 4.6, 4.14,
Equation): Sect. 2.3 4.15 p. 351-353
Homework
Assignment #5
Text 2(Heat
Equation):
2/19/09
Prob. # 3.10-3.12,
p. 348
Due 2/24/09
Text 1: Sect. 2.5 10-12 p.
87
Text 2: Chap. 9 (Heat
Equation), Sect. 9.4
Text 2 (Heat Equation):
Text 1: Chap. 2 (Heat Sect. 9.4: Prob. # 4.1, 4.2,
Equation):
4.3, 4.4 p.351
Section 2.3
Text 1: Sect. 2.5 probs.
15, 17, 18
Text 2: 1.1, 1.5, 1.6, 1.8 p.
270 (Wave Equation)
Text 2: 3.1-3.4 pp. 279Text 1: Chap. 2, Section
280 (Wave Equation)
2.4 (Wave Equation)
Text 2: 4.7, 4.8 p. 284
(Wave Equation)
Text 2: Chap. 8, Section
Text 2: 5.1-5.5 p.290
8.1, 9.3, 9.4 (Wave
(Wave Equation)
Equation)
Text 2: 6.5-6.7 p.298-299
(Wave Equation)
Text 2: 7.1-7.4, 7.6, 7.7
pp.307-308( Wave
Equation)
Text 1: Chap. 3,
Section 3.1, 3.2 Text 2:
Chap. 3, Section 3.1,
3.2, 3.3, 3.4, 3.5, 3.6
2/24/09
Homework
Assignment #5
Text 2(Heat
Equation):
Prob. # 3.9-3.12, p.
347
Due 2/26/09
Homework
Problem #6
Text 2: Prob. 7.1,
pp. 306-307 (Wave
Equation)
3/03/09
Homework
Problem #8
Due =
Homework
Problem #9
Due =
Homework #9
Prob.#1:
Use the method of
characteristics to
solve prob. 3.1(e)
on pg. 68 of Text 2.
(Due =)
Prob. #2: Use the
method of Ex. 3.1
on p. 67 of Text 2
to solve prob. 3.1
(e). (Due =).
Homework #10
Last Day of Classes
4/23/09
GENERAL INFORMATION