MATH 440/540

Applied Mathematics I

Spring 2009

* Monday, Wednesday, Friday 11:10-12:00 CUE 409*

Applied Mathematics I

Spring 2009

**Required book:** E. Kreyszig,
*Advanced Engineering Mathematics. 9th Ed.*

** Optional book:** A. Quarteroni, F. Saleri
* Scientific Computing with MATLAB and Octave.*

**Matlab manual:**
*Getting Started with MATLAB 7. *

**Course outline:**

1. Review of 1st and 2nd order ordinary differential equations

2. Series solutions of ordinary differential equations

(a) Legendre polynomils

(b) Frobenius method

(c) Bessel functions

(d) Sturm-Louville problems

3. Partial differential equations

(a) Hyperbolic equations: wave equation and its solution

(b) Parabolic equations: heat equation and its solution

4. Numerical solution of differential equations

* Homework assignments - 40%

* Final project - 60%

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Final project for undergraduate students.

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Final project for graduate students.

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1. Homework #1: p.8 #2,4,6,8,10,12

2. Homework #2: p.18 #2,6,10,14

3. Homework #3: p.25 #6, 12, 16; p.32 # 4, 8, 10

4. Homework #4: p.42 #16, 18, 20, 28, 30;

5. Homework #5: p.52 #4, 6, 18, 20;

6. Homework #6: p.59 #10,24,26,28;

7. Homework #7: p.72 #,6,8,10,12; Assigned Feb.2; Due Feb.9.

8. Homework #8: p.83 #2, 10, 12, 18; Assigned Feb.6; Due Feb.9.

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Week of Feb.9

Feb. 9. HW #9: p.101 #4,6, 14; due Feb.18

Feb.11: no HW

Feb.13: no HW, but refresh your programming skills

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Week of Feb.16

Feb.16: no class

Feb.18: no HW

Feb. 20: Computational homework OR p.897 #2, 4; Due March 2nd.

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Week of March. 2

March 2: p.170 #4,6; Due March 9.

March 4: NO HW

March 6:p.187 #4,8

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Week of March. 9

March 9: No HW

March 11: p.197 #6; Due March 23

March 13:p.209 #8;Due March 23

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Week of March. 23

March 23: No HW

March 25: p.485 #12,14

March 27: Numerically compute Fourier series of Ex.1 p.488. Assume k=1, compute partial sums from S1 to S10 and plot them comparing with f(x).

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Week of March. 30

March 30: No HW

April 1: No HW

April 3: No HW

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Week of April 6

April 6: p.561 #6

April 8: No HW

April 10: No HW

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Week of April 13

April 13:

April 15:

April 17:

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