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Textbook
♠ | Mathematical Methods in the Physical Sciences by Mary Boas. |
Grades
Week 1 :class begins
Week 9 :midterm (Chap 2, 3)
Week 1 :class begins
Week 9 :midterm (Chap 2, 3)
Week 14 :reading report due
Week 18 : Final (Chap 4, 6, 7)
Class Schedule
♠ Chapter 2 Complex Numbers (3 lectures)
‧ Complex numbers – the basics (Sec 1-5)
‧ Complex series (Sec 6-10)
‧ Complex numbers – the basics (Sec 1-5)
‧ Complex series (Sec 6-10)
‧ Complex functions (Sec 11-16)
♠ Chapter 3 Linear Algebra (9 lectures)
‧ Linear algebra – introduction (Sec 1)
‧ Matrices and determinants (Sec 2-3)
‧ Vectors, lines and planes (Sec 4-5)
‧ Matrix operations (Sec 6)
‧ Linear operators (Sec 7-8)
‧ Linear vector space (Sec 9-10)
‧ Eigenvalues and eigenvectors (Sec 11)
‧ Application of matrix diagonalization (Sec 12)
‧ Group theory (Sec 13-14)
♠ Chapter 4 Partial Differentiation (4 lectures)
‧ Total differential (Sec 1-4)
‧ Implicit differentiation (Sec 5-7)
‧ Maximum and minimum problems (Sec 8-10)
‧ Change of variables (Sec 11-12)
♠ Chapter 6 Vector Analysis (5 lectures)
‧ Differentiation of vectors (Sec 1-4)
‧ Gradient (Sec 5-7)
‧ Green’s theorem (Sec 8-9)
‧ Divergence (Sec 10)
‧ Curl (Sec 11)
♠ Chapter 7 Fourier Series and Transforms (4 lectures)
‧ Periodic functions (Sec 1-4)
‧ Fourier series (Sec 5-8)
‧ Parseval’s theorem (Sec 9-11)
‧ Fourier transform (Sec 12)