Instructor:
Yi Wang
Email: ywang261 (at) jhu.edu
Office: Krieger 216
Office hours: Thur 12 noon-1 pm
Lecture time: Tue Thur 10:30am - 11:45am
Lecture Room: Krieger 411
Course Assistant:
TA
Email:
Office:
Office hours:
Lecture time:
Textbook:
Greene & Krantz, Function Theory of One Complex Variable, Third Edition
Exams: There will be a midterm exam and a final exam:
Midterm
Final exam
Grade Policy:
The course grade will be determined as follows:
Homework: 30%
Midterm exams: 30%
Final exam: 40%
Homework:
Weekly homework assignments will be posted here. Homeworks are collected and returned to the course assistant on Thursday in section. No late homeworks will be accepted. The lowest homework score will be dropped from the final grade calculation.
You are encouraged to do your homework independently. You can work in groups if you feel that is helpful. However, you must write up your solutions on your own. Copying is not acceptable.
week 1 Complex numbers (First day of classes Jan 21, 2025)
week 2 Analytic functions Jan 28, 30 HW 1: Page 21-28 Problem 1 a), b), 3 a), 5, 6, 9, 13 a), 14 b), 21, 24. Due on Thursday Feb 6th, 5pm. Email by the deadline to grader Shuhan Yang syang180@jhu.edu
week 3 Elementary functions Feb 4, 6 HW 2: Page 21-28 Problem 27 b), 28 a), b), 29 c), 30, 33, 36, 39, 43, 47. Due on Friday, Feb 14th, 5pm. Email by the deadline to grader Shuhan Yang syang180@jhu.edu
week 4 Elementary functions, Complex integral Feb 11, 13
week 5 Complex integral Feb 18, 20 HW 3: Page 60-67 Problem 1, 3, 4 b), c) 5, 6, 8, 9, 11, 15 Due on Tuesday, Feb 25, 5pm. Email by the deadline to grader Shuhan Yang syang180@jhu.edu
week 6 Complex integral, Series Feb 25, 27 HW 4: Page 60-67 Problem 18 a), f) 21, 23, 25, 31 Due on Tuesday, March 4, 5pm. Email by the deadline to grader Shuhan Yang syang180@jhu.edu
week 7 Series March 4, 6 HW 5: Problems have been posted on Canvas. Due on Tuesday, March 11, 5pm. Email by the deadline to grader Shuhan Yang syang180@jhu.edu
week 8 Series March 11, 13 (Midterm)
(Break March 17-21)
week 9 Series March 25, 27 HW 6: Page 94-103. Problem 3, 4, 10, 11 a), c), d), e), 13, 14 Due on Thursday, April 3, 5pm. Email by the deadline to grader Shuhan Yang syang180@jhu.edu
week 10 Series, Residue theory April 1, 3 HW 7: Page 94-103. Problem 15, 16, 17, 18, 20 a), c), d), 23, 24 Due on Thursday, April 10, 5pm. Email by the deadline to grader Shuhan Yang syang180@jhu.edu
week 11 Residue theory April 8, 10 HW 8: Problems have been posted on Canvas. Due on Sunday, April 20, 5pm. Email by the deadline to grader Shuhan Yang syang180@jhu.edu
week 12 Conformal mapping, Riemann mapping theorem April 15, 17 HW 9: Problems have been posted on Canvas. Due on Wednesday, April 30, 5pm. Email by the deadline to grader Shuhan Yang syang180@jhu.edu
week 13 Subharmonic functions, Dirichlet problem April 22-24
Reading days:
Exam days:
Special Aid:
Students with disabilities who may need special arrangements within this course must register with the SDS office and submit request through the SDS office.
JHU Ethics Statement:
The strength of the university depends on academic and personal integrity. In this course, you must be honest and truthful. Cheating is wrong. Cheating hurts our community by undermining academic integrity, creating mistrust, and fostering unfair competition. The university will punish cheaters with failure on an assignment, failure in a course, permanent transcript notation, suspension, and/or expulsion. Offenses may be reported to medical, law, or other professional or graduate schools when a cheater applies.
Violations can include cheating on exams, plagiarism, reuse of assignments without permission, improper use of the internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition. Ignorance of these rules is not an excuse.
In this course, as in many math courses, working in groups to study particular problems and discuss theory is strongly encouraged. Your ability to talk mathematics is of particular importance to your general understanding of mathematics. You should collaborate with other students in this course on the general construction of homework assignment problems. However, you must write up the solutions to these homework problems individually and separately. If there is any question as to what this statement means, please ask the instructor.