Instructor: Prof. Yannick Sire
Email: sire**AT**math.jhu.edu
Office Hours: Krieger 208, Tue 1.30-3:30 pm
TA: Ben Diamond
Email: bdiamond**AT**math.jhu.edu
Textbook: Fundamentals of Complex Analysis with applications to Engineering & Science, 3rd edition
E. B. Saff & A.D. Snider
MATH 311 : Syllabus for Complex Analysis
Chapter 1 1.1 Algebra of complex numbers
1.2-1.3 The complex plane
1.4 Complex exponential
1.5 Powers and roots
1.6 Planar sets
Chapter 2 2.1 Functions of a complex variable
2.2 Limits and continuity
2.3 Analyticity
2.4 Cauchy-Riemann equation
2.5 Harmonic functions
Chapter 3 3.1 Polynomial and rational functions
3.2 Exp, Trig and Hyp function
3.3 Log function
Chapter 4 4.1 Contours
4.2 Contour integrals
4.3 Independence of path
4.4 Cauchy? s integral Theorem
4.5 Cauchy? s integral formula and consequences
4.6 Bounds on analytic functions
Chapter 5 5.1 Sequences and Series
5.2 Taylor series
5.3 Power series
5.4 Theory of convergence
5.5 Laurent series
5.6 Zeros and singularities
Chapter 6 6.1 Residue theorem
6.2 Trigonometric integrals
6.3-6.4 Improper integrals
6.7 The argument principle and Rouche?s Theorem
Chapter 7 some topics if time allows
Homeworks will be posted on blackboard every Thursday, due the following Thursday.
Late Homework Policy:
It MUST be turned in to your grader's mailbox in Krieger 209 no later than 2pm on the due date.
You MUST put your homework # and your name on the top of your paper.
Homework not submitted on time will receive a grade of 0.
Grading:
Homework and quizzes 40%
Midterm 20%
Mid-term 2 40%