Book PDE

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KXEX 3244

PARTIAL DIFFERENTIAL EQUATIONS (PDE)

Md. Abu Omar Bin Awang

Room 201
Institut Sains Matematik
Universiti Malaya

mao@um.edu.my

Second Semester, 2012-2013

TIME AND PLACE OF LECTURE

Tuesday: 9.00-10.00 am, DK3

Thursday: 9.00-10.00 am, DK6

Place: DK3/6

Exams. Timetable: 8.30 am, Wed.
26 th. June 2013

A. KXEX 3244 TEXT BOOKS (Books that convey the essence of this course and at the appropriate level)

1. Erwin Kreysiz

“Advanced Engineering Mathematics”, 9 th. Edition, Wiley

Chap.5, 6, 11, 12

2. Michael D. Greenberg

“Advanced Engineering Mathematics”, 2 nd. Edition ke-2, Prentice-Hall

Chap. 4, 5, 17, 18, 19, 20

3. Dennis G. Zill & Michael R. Cullen

“Differential Equations with Boundary-Value Problems”, 7 th. Edition, Brooks/Cole

Chap. 6, 7, 11, 12, 13, 14

4. William E. Boyce & Richard C. DiPrima

“Elementary Differential Equations and Boundary Value Problems”, 8 th. Edition, Wiley

Chap. 5, 6, 10, 11

Note: Fourth Edition of this book has been translated to Bahasa Melayu by M. A. Omar Awang, published by USM.

5. R. Ken Nagle & Edward B. Saff

“Fundamentals of Differential Equations and Boundary Value Problems”, Addison Wesley

Chap. 7, 8, 11, 12,

NOTE: THE REQUIRED ODE BACKGROUND IS IN THE ABOVED BOOKS.
B. PDE books of similar level

1. Stanley J. Farlow

“Partial Differential Equations for Scientists and Engineers”, Wiley

Nota: This book has been translated to Bahasa Melayu by Koh Hock Lai, and published by USM.

2. Tyn Myint-U

“Partial Differential Equations of Mathematical Physics”, Elsevier Note: There is now a second edition to this book.

3. R. L. Street

“The Analysis and Solution of Partial Differential Equations”, Wadsworth

4. P. W. Berg & J. L. McGregor

“Elementary Partial Differential Equations”, McGraw-Hill

5. James Ward Brown & R. V. Churchill

“Fourier Series and Boundary Value Problems”, McGraw-Hill

C. SPECIAL FUNCTION Books

1. W. W. Bell

“Special Functions for Scientists and Engineers”, D. Van Nostrand

2. Ian N. Sneddon

“Special Functions of Mathematical Physics and Chemistry”, Oliver and Boyd

3. M. Abramowitz & I. A. Stegun

“Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables”, Dover

D. ADVANCED LEVEL/CONTINUATION PDE BOOKS

1. Erich Zauderer

“Partial Differential Equations of Applied Mathematics”, Wiley

2. H. F. Weinberger

“A First Course in Partial Differential Equations”, Wiley

3. P. Garabedian

“Partial Differential Equations”, Chelsea

4. R. Courant & D. Hilbert

“Methods of Mathematical Physics”, Volume 1, Interscience

HAVE FUN AND ENJOY YOUR LEARNING AND DISCOVERING. IF IN

DOUBT, JUST ENQUIRE, TO ME AND THE TUTOR. WE ARE MORE THAN

WILLING TO HELP, BUT PLEASE BE PREPARED WITH YOUR QUESTION.

Solution techniques to learn

(1) Direct Integration,
(2) Separation Variables/ Fourier Method, and
(3) Laplace Transform,

To apply to

(1) Diffusion equation,
(2) Wave Equation, and
(3) Laplace Equation.

Coursework: 40%, Main Exams: 60%.
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