一、課程說明 (Course Description): 
<br>This course aims to provide sufficient mathematic training for students whose majors are in engineering or physics. The content emphasizes in ordinary and partial differential equations, Fourier analysis, and complex functions. This course is the mathematic foundation of electromagnetics, modern physics, solid-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>1st Exam: Oct. 14 (Friday) 7:00 PM (20%)
<br>5. Laplace Transforms (Chap. 6) 
<br>2nd Exam: Nov. 4 (Friday) 7:00 PM (10%)
<br>6. Power Series. (Chap. 5)
<br>7. Fourier Series, Integrals and Transform (Chap. 11) 
<br>3rd Exam: Nov. 25 (Friday) 7:00 PM (10%)
<br>8. Partial Differential Equations and their solutions by Fourier Series (Chap. 12) 
<br>4th Exam: Dec. 16 (Friday) 7:00 PM (15%)
<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) 
<br>5th Exam: Jan. 13 (Friday)  (15%)
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<br>五、成績考核 (Evaluation) 
<br>Homework x 15 (30%) 
<br>Exams x 5 (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/