Applied Mathematics I (Spring, 2010)
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<br>Lecturer: Prof. Hsiu-Hau Lin
<br>Class: M1M2R1R2 in Room 002
<br>Textbook: Mathematical Methods in the Physical Sciences by Mary Boas.
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<br>======= Grades =======
<br>Reading report (40%) + Midterm (30%) + Final (30%)
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<br>======= Important Dates ======= 
<br>Week 1 (Feb 22): class begins
<br>Week 9 (Apr 19): midterm (Chap 2, 3)
<br>Week 14 (May 24): reading report due
<br>Week 18 (June 21): Final (Chap 4, 6, 7)
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<br>======= Class Schedule =======
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<br>Chapter 2	Complex Numbers (3 lectures)
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<br>‧	Complex numbers – the basics (Sec 1-5)
<br>‧	Complex series (Sec 6-10)
<br>‧	Complex functions (Sec 11-16)
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<br>Chapter 3	Linear Algebra (9 lectures)
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<br>‧	Linear algebra – introduction (Sec 1)
<br>‧	Matrices and determinants (Sec 2-3)
<br>‧	Vectors, lines and planes (Sec 4-5)
<br>‧	Matrix operations (Sec 6)
<br>‧	Linear operators (Sec 7-8)
<br>‧	Linear vector space (Sec 9-10)
<br>‧	Eigenvalues and eigenvectors (Sec 11)
<br>‧	Application of matrix diagonalization (Sec 12)
<br>‧	Group theory (Sec 13-14)
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<br>Chapter 4	Partial Differentiation (4 lectures)
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<br>‧	Total differential (Sec 1-4)
<br>‧	Implicit differentiation (Sec 5-7)
<br>‧	Maximum and minimum problems (Sec 8-10)
<br>‧	Change of variables (Sec 11-12)
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<br>Chapter 6	Vector Analysis (5 lectures)
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<br>‧	Differentiation of vectors (Sec 1-4)
<br>‧	Gradient (Sec 5-7)
<br>‧	Green’s theorem (Sec 8-9)
<br>‧	Divergence (Sec 10)
<br>‧	Curl (Sec 11)
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<br>Chapter 7	Fourier Series and Transforms (4 lectures)
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<br>‧	Periodic functions (Sec 1-4)
<br>‧	Fourier series (Sec 5-8)
<br>‧	Parseval’s theorem (Sec 9-11)
<br>‧	Fourier transform (Sec 12)
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