Instructor:
- Cristian Gavrus
- Email: cgavrus1 @ jhu.edu
- Office: Krieger 313
- Office hours: Tuesdays 1:30 - 3:30 pm or by appointment
Course Assistant:
- Letian Chen
- Email: lchen155 @ jhu.edu
- Office hours: Thursday 3-4 pm in Krieger 211
Lectures:
- Tuesdays & Thursdays 12:00 - 1:15 pm at Bloomberg 172
Textbook:
E. Stein & R. Shakarchi, “Princeton Lectures in Analysis II: Complex Analysis."
Exams: There will be a midterm exam and a final exam:
- Midterm test: Oct 10 , in class
- Second test: Dec 5 , in class
Exams are closed book, closed notes. There will be no make-up exams. For excused absences, the grade for a missed exam will be calculated based on your performance on all remaining exams. If you miss an exam, you will have to provide documentation and a valid excuse.
Grade Policy:
The course grade will be determined as follows:
- Homework: 30%
- Midterm test: 30%
- Second test: 40%
Homework:
Weekly homework assignments will be posted here. Every Thursday the homework sets are collected at the beginning of class. No late homeworks will be accepted. The lowest homework score will be dropped from the final grade calculation.
Tentative Course Schedule
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Here is a tentative schedule for the course. I strongly recommend to you to read the relevant sections of the textbook before each lecture.
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Week |
Topics |
Sections |
Homework |
(1) Sep 3, 5 |
Preliminaries |
Read Chapter 1 |
No homework due |
(2) Sep 10, 12 |
Preliminaries |
Read Chapter 2 |
Ch1: 3, 5, 8, 10, 11, 16 (abc), 23 |
(3) Sep 17, 19 |
Ch.2 Cauchy's Theorem |
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Ch1: 6, 7, 13, 24, 25, 26. Ch2: 5 |
(4) Sep 24, 26 |
Ch.2 Cauchy's Theorem (cont.) |
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Ch2: 1, 2, 3, 6, 7, 11 |
(5) Oct 1, 3 |
Ch.2 Cauchy theorem |
Read Chapter 3 |
Ch2: 8, 10, 13, 15. Problems: 1(a), 3(a) (assuming f is twice real differentiable) |
(6) Oct 8, 10 |
Ch.3 Meromorphic Functions
Midterm exam |
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Homework |
(7) Oct 15, 17 |
Meromorphic Functions |
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(8) Oct 22, 24 |
Meromorphic Functions |
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Ch3: 1, 2, 3, 12, 13 |
(9) Oct 29, 31 |
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Ch3: 4, 6, 16, 17, 21 (a) |
(10) Nov 5, 7 |
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Ch3: 5, 10, 19 (recall ex. 10, 11 from Ch1), Problem 3 |
(11) Nov 12, 14 |
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(12) Nov 19, 21 |
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Ch8: Read sections 1.1, 1.2. --- Exercises: 1, 4, 14 |
(13) Nov 26, 28 |
Thanksgiving |
(14) Dec 3, 5 |
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Special Aid:
Students with disabilities who may need special arrangements within this course must first register with the Office of Academic Advising. I will need to have received confirmation from the Office of Academic Advising. To arrange for testing accomodations please remind me at least 7 days before the midterm or final exam by email, during office hour or after class.
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.
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