MTH 282 "Introduction to Complex Variables with Applications"

Course Number

Time

Location

Instructor

Office Hours

E-mail

TBA

 

 

MW 10:25-11:40

Lechase Room 141

Eyup Yalcinkaya

M 1400-1530

1015 Hylan Building

eyup.yalcinkaya@rochester.edu

TBA

MW 1400-1515

Gavett Hall Room 312

Xuwen Chen

MW 1305-1350 or by appointment

1018 Hylan Building

xuwenmath@gmail.com

Syllabus: Complex differentiation and integration, analytic functions, singularities, residues, poles, series expansions with some applications.

Prerequisites: MATH 164 or MATH 174 (MATH 200 or MATH 235 recommended unless you have taken MATH 174).

Textbook: James Ward Brown and Ruel V. Churchill, Complex Variables and Applications (9th edition), McGraw-Hill, 2013.

Grading: Homework 100%.

Homework

Homework is assigned weekly on Wednesdays, starting 1/24. It is due in one week, on Gradescope, every Wednesday. In order to ensure that assignments are graded promptly, and to discourage students from falling behind, LATE ASSIGNMENTS WILL NOT BE ACCEPTED UNDER ANY CIRCUMSTANCES. However, in recognition of the fact that unavoidable issues sometimes arise, the lowest two homework grades of each student's homework grades (including zeros for unsubmitted assignments) will be dropped when calculating final semester grades. Despite this policy, you should complete every assignment, even if you miss a deadline, because math is accumulative.

Course policies

1. We use absolute grading system. Tentatively, the cut-offs are 80% for A, 75% for B+, 70% for B, 65% for C+, 60% for C, 55% for D+, 50% for D. That is, if everyone gets above 80%, then everyone gets an A.

2. Incomplete "I" grades are almost never given. The only justification is a documented serious medical problem or a genuine personal/family emergency. Falling behind in this course or problems with workload on other courses are not acceptable reasons.

3. You are responsible for knowing and abiding by the University of Rochester's academic integrity code. Any violation of academic integrity will be pursued according to the specified procedures.

4. We firmly believe that our job is to make the course material accessible to everyone. As such, we strongly encourage you to reach out if you are confused, have questions, or concerns. Please feel free to ask questions in class if you are confused about something!  Our job is never to judge--to do mathematics is to be in a state of near-constant confusion, and putting confusion into words by asking questions is the first step to understanding. Students generally enter a math class from a variety of backgrounds and interests, and we intend for your classroom to be a safe and inclusive space for everyone to discuss, ask questions, and learn. If you are ever concerned about the class environment, please contact your instructor.

5. If you have an academic need related to a disability, please contact the [Disability Services and Support] (https://www.rochester.edu/disability).

Weekly schedule:

Week of

Topic

Reading assignment

Homework

1/15

Chapter 1 (pg. 1-13)

Chapter 1 (pg. 14-24)

1/22

Chapter 1 (pg. 14-24)

Chapter 1, Chapter 2 (pg. 37-49)

Homework 1 (due 1/31)

1/29

Chapter 1, Chapter 2 (pg. 37-49)

Chapter 2 (pg. 50-68)

Homework 2 (due 2/7)

2/5

Chapter 2 (pg. 50-68)

Chapter 2 (skip reflection principle), Chapter 3 (pg. 87-90)

Homework 3 (due 02/14);

2/12

Chapter 2 (skip reflection principle), Chapter 3 (pg. 87-90)

Chapter 3

Homework 4 (due 02/21);

2/19

Chapter 3

Chapter 4 (pg. 115-136)

Homework 5 (due 02/28)

2/26

Chapter 4 (pg. 115-136)

Chapter 4 (pg. 137-161)

Homework 6 (due 03/6)

3/4

Chapter 4 (pg. 137-161)

Chapter 4, Chapter 5 (pg. 179-185)

Homework 7 (due 03/20)

3/11

Spring Break

3/18

Chapter 4, Chapter 5 (pg. 179-185)

Chapter 5 (pg.186-210)

Homework 8 (due 03/27)

3/25

Chapter 5 (pg.186-210)

Chapter 5, Chapter 6 (pg. 227-232)

Homework 9 (due 04/3)

4/1

Chapter 5, Chapter 6 (pg. 227-232)

Chapter 6 (pg. 233-255)

Homework 10 (due 04/10)

4/8

Chapter 6 (pg. 233-255)

Chapter 6, Chapter 7 (259-279)

Homework 11 (due 04/17)

4/15

Chapter 6, Chapter 7 (259-279)

Remaining Sections of Chapter 7

Homework 12 (due 04/24)

4/22

Remaining Sections of Chapter 7 (up to section 94) / Additional Topic(s)

4/30

TBA