Math 113, Complex analysis

Instructor: Mihnea Popa

Mihnea Popa
Office: 521 Science Center
Tel: 617-495-4471
email: mpopa@math.harvard.edu
URL: www.math.harvard.edu/~mpopa

Meeting times MWF 12:00-1:00, Science Center 310
First meeting Wednesday, February 2, 2005
Textbook "Complex Analysis" by Theodore Gamelin (Springer, 2001)

Brief course description: Analytic functions of one complex variable: power series expansions, contour integrals, Cauchy's theorem, Laurent series and the residue theorem. Some applications to real analysis, including the evaluation of indefinite integrals. An introduction to some special functions.

Introductory handout: pdf ps

Practice midterm: pdf ps This is a just selection of practice problems, not meant to reflect the length of the in-class test.

Practice final: pdf ps

Homework: Unless otherwise specified, the listed exercises are from the textbook.

Problem Set 1:

I.1:

I.2:

I.5:

I.6:

II.2:

II.3:

Problem Set 2:

II.3:

II.4:

II.5:

III.1:

III.2:

Problem Set 3:

III.2:

III.3:

IV.1:

IV.2:

Problem Set 4

Problem Set 5:

V.2:

V.3:

V.4:

Problem Set 6:

V.7:

VI.1:

VI.2:

Problem Set 7:

VI.2:

VI.4:

VII.1:

Problem Set 8:

VII.2:

VII.3:

VII.4:

VII.7:

VIII.2:

Problem Set 9:

III.5:

II.7:

IX.1:

IX.2:

Problem Set 10:

IX.2:

X.1:

XI.1:

XI.2:

Problem Set 11:

X.3:

XIV.1:

XIV.2:

XIV.3:

mpopa@math.harvard.edu