Math 311: Methods of Complex Analysis
Spring 2018, Tu/Th 12-1:15 PM
Gilman 17

Instructor: J. Specter
jspecter at jhu dot edu

Office Hours: Wednesdays 11:15 - 1:15 in Krieger 419 or by appointment.


Welcome to Complex Analysis! You've found the course website. This is the syllabus. Below you'll find important information about the content, structure and logistics of the course.

What is this course about?

This course is about Complex Analysis.

The textbook

Fundamentals of Complex Analysis (with Applications to Engineering and Science) (3rd Edition). E. B. Saff & A. D. Snider.

As of 1/26/2018, a PDF copy of the complete book could be found online; it was the first google hit for: "Fundamentals of Complex Analysis" filetype:pdf.

Your grade

Your grade will be the weighted average of your weekly homework assignments (30%, lowest grade dropped), a midterm exam (28%), and an in class final (42%).

The exams

There will be two exams in this course. One in class midterm

Midterm Exam 1: 12-1:15 p.m. Tuesday, March 6,

and a comprehensive final exam:

Final Exam: 9-12 Noon, Tuesday, May 15.

No make-up exam will be offered in this course. If you have to miss the midterm exam for a documented, legitimate reason, then your exam grade will be calculated using your grade on the final alone.

Homework

Homework accounts for 30% of the grade for this course. It will be assigned weekly, and your homework grade will be the average of the 10 highest grades from your weekly assignments. Homework is due at the beginning of class on its posted due date. Most weeks, assignments will be posted on Thursdays and will be due on the following Thursday. No late homework will be accepted.

You are encouraged to talk to your classmates about the material covered in class and collaborate on homework. However any assignment you pass in must be primarily your own work. To avoid the pitfalls of plagiarism, please write up your assignments alone and independently. If you've worked on a problem with another student, please acknowledge that collaboration in your write up (of that problem).


Assignment 1: Due 2/8
Section 1.1: 8, 10
Section 1.2: 7(e), 16
Section 1.3: 5(d), 7(h), 28
Section 1.4: 11,22,18
Section 1.5: 4, 5(f)

Assignment 2: Due 2/15
Section 1.6: Answer problems 2,3,4,6; which of the sets in (a)-(f) are closed?
Section 2.1: 3,6,5(e)
Section 2.2: 2,7,21(d)

Assignment 3: Due 2/22
Section 2.3 4(a,c), 8, 11(b,f,g);
Section 2.4 3,5,8,15;
Section 2.5 8, 12, 13;

Assignment 4: Due 3/1
Section 3.1 1,4,5,7,10,13
Section 3.3 5,8,12,15,19

Assignment 5: Due 3/8
Section 3.2 7,17,20,21
Section 3.5 3,8,11

Assignment 6: Due 3/15
Section 4.1 1(b,d),3,4
Section 4.2 3(b,d),6,7,8,9,10,13

Assignment 7: Due 3/29
Section 4.2 5
Section 4.3 1(b,e,g,h,i), 2,4,6,7

Emulating the method from class on 3/15 (decomposing the integrand using partial fractions) do:
Section 4.4 13,15,17
Section 4.5 3(d),4

Assignment 8: Due 4/5
Section 4.4 5,9,18,19,20
Section 4.5 3(b,c,e),5,6,7,9


Assignment 9: Due 4/12
Section 5.2 4,5(a,c,e,g),8(d),11(a)
Section 5.4 10
Section 5.6 2,3(a),5(a,c),16


Assignment 10: Due 4/19
Section 5.6 1,3,8
Section 5.7 1,4,3,5

Determine the images of the following complex analytic functions:
f:C --> C given by f(z) = 12 + e^(z-1)
[bonus] f:C --> C given by f(z) = z*sin(z)
[bonus] f:C --> C given by f(z) = (z^3 +1)*e^z
f:C --> C given by f(z) = e^(z^2+1)
f:C --> C given by f(z) = e^(2z) + e^z + 7

Assignment 11: Due 4/26
Section 6.1 3(a,d,f,e),5,7
Section 6.2 1,5,8,9,10


Assignment 12 Due 5/3
Section 6.3 1,2,6,11,13
Section 6.4 1,2,6,7

Additional resource

  • Math Help Room. Located in 213 Kreiger Hall -- check link for schedule. Offers additional help from math graduate students.

Students with disabilities

Students with documented disabilities or other special needs who require accommodation must register with Student Disability Services. After that, remind the instructor of the specific needs at least two weeks prior to each exam; the instructor must be provided with the official letter stating all the needs from Student Disability Services.

JHU ethics statement

"Undergraduate students enrolled in the Krieger School of Arts and Sciences or the Whiting School of Engineering at the Johns Hopkins University assume a duty to conduct themselves in a manner appropriate to the University's mission as an institution of higher learning. Students are obliged to refrain from acts which they know, or under circumstances have reason to know, violate the academic integrity of the University. [The JHU Code of Ethics]"

Ethical violations include cheating on exams, plagiarism, reuse of assignments, improper use of the Internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition.

Report any violations you witness to the instructor. If a student is found responsible through the Office of Student Conduct for academic dishonesty on a graded item in this course, the student will receive a score of zero for that assignment, and the final grade for the course will be further reduced by one letter grade.