EE2015: Differential Equations and Complex Variables (Fall 2010).
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<br>This semester, I would divide this course into 3 parts, with the first part on "ODEs" for the first month, the second part on "Laplace transform" for 3 weeks, and the third part on "Series and Complex Variables" for the rest.
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<br>Due to the time limit, only the topics listed below would be taught, in order to let the students have a better understanding.
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<br>Textbook:
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<br>E. Kreyszig, "Advanced Engineering Mathematics", 9th Ed., John Wiley & Sons, Inc., (2006).
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<br>Syllabus:
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<br>1. Ordinary Differential Equations: (4-5 weeks)
<br>First-Oder ODEs
<br>Second-Order ODEs
<br>Higher-Order ODEs
<br>Systems of ODEs
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<br>2. Laplace Transform: (3 weeks)
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<br>3. Series and Complex Variables
<br>Power Series (1.5 weeks)
<br>Fourier Series; (2 weeks)
<br>PDEs and Their Solutions by Fourier Series (3 weeks)
<br>Taylor and Laurent Series (1.5 weeks)
<br>Complex and Residue Integrations (2 weeks)
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<br>Evaluation:
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<br>Homeworks x 6, 40%;
<br>Exams x 3, 60%.
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<br>Office hours:
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<br>RK: 3:00-5:00PM, Thursday at Room 523, EECS bldg.
<br>TA: to be annouced. 
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<br>For more information and course slides: http://mx.nthu.edu.tw/~rklee