Academic Calendar and Homework Assignments

WeekLecture No.DateChapter/ExamHomework1 1 Tue, Jan 17 Introduction. 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

2 Thu, Jan 19 Ch. 2B, Analytic functions; Cauchy-Riemann equations. OofMP: (1−є) ≈^{n}e^{−nє}, ∫_{−1}^{1}cos(x)^{100}dx, Gaussian integrals. Mathematica:Plot[]

2 3 Tue, Jan 24 Ch. 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 4 Thu, Jan 26 Ch. 2C, Contour integrals of analytic functions; Ex: ∫ _{0}^{∞}cos(x^{2})dx; Cauchy integral formula.

3 5 Tue, Jan 31 Ch. 2C, Taylor and Laurent series; isolated singularities; Cauchy residue theorem.

HW2 due 6 Thu, Feb 2 Ch. 2D, Calculating residues. Evaluation of integrals I.

4 7 Tue, Feb 7 Ch. 2D, Evaluation of integrals II.

HW3 due 8 Thu, Feb 9 Ch. 2F, Guest lecture: Fourier integrals

5 9 Tue, Feb 14 Ch. 2D, Evaluation of integrals III.

Thu, Feb 16 Midterm I6 10 Tue, Feb 21 11 Thu, Feb 23 7 12 Tue, Feb 28 HW5 due 13 Thu, Mar 1 8 Tue, Mar 6 Spring recessThu, Mar 8 Spring recess9 14 Tue, Mar 13 HW6 due 15 Thu, Mar 15 10 16 Tue, Mar 20 HW7 due 17 Thu, Mar 22 11 18 Tue, Mar 27 HW8 due Thu, Mar 29 Midterm II12 19 Tue, Apr 3 20 Thu, Apr 5 13 21 Tue, Apr 10 HW9 due 22 Thu, Apr 12 14 23 Tue, Apr 17 HW10 due 24 Thu, Apr 19 15 25 Tue, Apr 24 HW12 due 26 Thu, Apr 26 16 TBA FINAL EXAM

This document was translated from L^{A}T_{E}X by H^{E}V^{E}A.