一、課程說明 (Course Description): 
<br>This course aims to provide sufficient mathematic training for students whose majors are in engineering or 
<br>physics. The content emphasizes in ordinary and partial differential equations, Fourier analysis, and 
<br>complex functions. This course is the mathematic foundation of electromagnetics, modern physics, solid-
<br>state physics, signal and system, electrical circuits, and so on. 
<br>Basic mathematic skills, especially calculus, are required.
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<br>二、指定用書 (Text Books) 
<br>E. Kreyszig, Advanced Engineering Mathematics, 10th Ed., John Wiley & Sons, Inc., 2011.  
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<br>三、教學方式 (Teaching Method) 
<br>Lectures 
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<br>四、教學進度 (Syllabus) 
<br>1. First-Order ODEs (Chap. 1) 
<br>2. Second-Order Linear ODEs (Chap. 2) 
<br>3. Higher Order Linear ODEs (Chap. 3) 
<br>4. Systems of ODEs. Phase Plane. Qualitative Methods (Chap. 4) 
<br>5. Laplace Transforms (Chap. 6) 
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<br>1st Exam: (30%)
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<br>6. Power Series. (Chap. 5)
<br>7. Fourier Series, Integrals and Transform (Chap. 11) 
<br>8. Partial Differential Equations and their solutions by Fourier Series (Chap. 12) 
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<br>2nd Exam: (25%)
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<br>9. Complex Numbers and Functions (Chap. 13)
<br>10. Complex Integration (Chap. 14) 
<br>11. Power Series, Taylor Series (Chap. 15) 
<br>12. Laurent Series. Residue Integration (Chap. 16) 
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<br>3rd Exam: (15%)
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<br>五、成績考核 (Evaluation) 
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<br>Homework x 10+ (30%) 
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<br>Exams x 3 (70%), 
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<br>六、課程資料
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<br>http://mx.nthu.edu.tw/~rklee/course.html
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<br>http://lms.nthu.edu.tw/