Lecturer: Prof. Hsiu-Hau Lin

Class: M1M2R1R2 in Room 002

Textbook: Mathematical Methods in the Physical Sciences by Mary Boas.

======= Grades =======

Reading report (40%) + Midterm (30%) + Final (30%)

======= Important Dates =======

Week 1 (Feb 22): class begins

Week 9 (Apr 19): midterm (Chap 2, 3)

Week 14 (May 24): reading report due

Week 18 (June 21): 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 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)