Subject: Engineering Mathematics

Instructor: Cheng-Ying Yang, Ph.D.

Meeting hours: Monday 15:30 ¡V 17:20 (T2-104) Tuesday 8:10 ¡V 9:00 (T2-104)

Textbook: Erwin Kreyszing, Advanced Engineering Mathematics, 8^th ed. John Wiley and Sons, 1999.

Contents:

1. Ordinary Differential Equations

- First Order DE

- Linear DE

- Modeling

- Homogeneous Linear Equations

- Euler-Cauchy Equation

- Higher Order Linear DE

2. Laplace Transform

- Laplace Transform and Inverse Transform

- Transforms of Derivatives and Integrals

- Unit Step Function

- Delta Function

- General Formulas

3. Fourier Analysis

- Fourier Series

- Even and Odd Functions

- Half-Range Expansions

- Fourier Integrals

- Fourier Cosine and Sine Transforms

- Fourier Transform

4. Complex Analysis

- Complex plane

- Polar Form of Complex Number

- Exponential Functions

- Complex Integration

Grading: Midterm (4) 15%

Final 30%

Assignment 10%

Reference:

1. Thomas L. Harman, Advanced Engineering Mathematics with Matlab, 2^nd ed., Brooks/Cole, 2000.

2. Robert J. Lopez, Advanced Engineering Mathematics, Addison Wesley, 2001.

3. C. Ray Wylie, Louis C. Barrett, Advanced Engineering Mathematics, 6^th ed., McGraw Hill, 1995

4. Dennis G. Zill, Michael R. Cullen, Advanced Engineering Mathematics, 2^nd ed., Jones and Bartlett, 2000.

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