Mathematical Methods for the Physical Sciences
Academic Calendar and Homework Assignments

WeekLecture No.DateChapter/ExamHomework
11Tue, Jan 17Introduction. Course logistics. Ch. 2A, Complex numbers and complex variables: coordinate and polar form; Euler’s formula; trigonometric identities; complex roots. Mathematica: Integrate[], N[], Sin[], Pi
 2Thu, Jan 19Ch. 2B, Analytic functions; Cauchy-Riemann equations. OofMP: (1−є)nenє, ∫−11cos(x)100dx, Gaussian integrals. Mathematica: Plot[]
23Tue, Jan 24Ch. 2C, Contour integrals in the complex plane. OofMP: Feynman’s “different box of tools” – evaluation of integrals by differentiation with respect to a parameter.
HW1 due
 4Thu, Jan 26Ch. 2C, Contour integrals of analytic functions; Ex: ∫0cos(x2)dx ; Cauchy integral formula.
35Tue, Jan 31Ch. 2C, Taylor and Laurent series; isolated singularities; Cauchy residue theorem.
HW2 due
 6Thu, Feb 2Ch. 2D, Calculating residues. Evaluation of integrals I.
47Tue, Feb 7Ch. 2D, Evaluation of integrals II.
HW3 due
 8Thu, Feb 9Ch. 2F, Guest lecture: Fourier integrals
59Tue, Feb 14Ch. 2D, Evaluation of integrals III.
  Thu, Feb 16Midterm I 
610Tue, Feb 21  
 11Thu, Feb 23  
712Tue, Feb 28 HW5 due
 13Thu, Mar 1  
8 Tue, Mar 6Spring recess 
  Thu, Mar 8Spring recess 
914Tue, Mar 13 HW6 due
 15Thu, Mar 15  
1016Tue, Mar 20 HW7 due
 17Thu, Mar 22  
1118Tue, Mar 27 HW8 due
  Thu, Mar 29Midterm II 
1219Tue, Apr 3  
 20Thu, Apr 5  
1321Tue, Apr 10 HW9 due
 22Thu, Apr 12  
1423Tue, Apr 17 HW10 due
 24Thu, Apr 19  
1525Tue, Apr 24 HW12 due
 26Thu, Apr 26  

This document was translated from LATEX by HEVEA.