Math 3851 – Functions Complex Variable

Lecture Time: 2:00pm  3:50pm (TR) Location: Knudson Hall 301

Textbook: Brown and Churchill, Complex Variables and Applications 9th Ed.

Prerequisite: Math 2060, Math 2080, and Math 2200

Instructor: Mei Yin
   Office and Office Hours: Knudson Hall 203B, 10:30am  12:00pm (TR), or by appointment

Lecture Schedule: Here is a plan of the course (may be altered for pedagogical reasons as the course develops).

Ch. 1: Complex Numbers
2 weeks
Ch. 2: Analytic Functions
3 weeks
Ch. 3: Elementary Functions
1.5 weeks
Ch. 4: Integrals
3.5 weeks

Course Description: Topics of study will include complex numbers, analytic functions, complex integration, series expansions, residue theory, conformal maps, advanced topics and applications. We will cover roughly the material from Sections 1-58 of the textbook, NOT including Sections 17, 28, 29, 39, 40.

Tentative Calendar:

The Week Of
Sections Covered
January 7 January 11
1, 2, 3, 4, 5, 6
January 14 January 18
7, 8, 9, 10, 11, 12
January 21 January 25
13, 14, 15, 16, 18, 19
January 28 February 1
20, 21, 22, 23, 24
February 4 February 8
25, 26, 27, Review
February 11 February 15
Midterm, 30, 31, 32, 33, 34
February 18 February 22
35, 36, 37, 38, 41, 42
February 25 March 1
43, 44, 45, 46, 47, 48
March 4 March 8
49, 50, 51, 52, 53, 54
March 11 March 15
55, 56, 57, 58, Review

Grading: Your final grade for the course will be determined based on a numerical weighted average calculated as follows: Homework 30% Midterm 30% Final Exam 40%. This average percentage will then be converted into a final letter grade based partially on how other students perform this quarter, and partially on typical percentage grades from previous quarters of the course.

Homework: Homework will be assigned about once a week. The due date is every Tuesday at the beginning of the class. Homework must be turned in promptly to receive credit. For submitted problems, students are expected to show work and justify their answers. Please write your name on the first page. If you are submitting multiple pages, please staple them together. The eight highest homework scores will contribute to 30% of your final grade.

Exams: A midterm is tentatively scheduled during class time on Tuesday, February 12. The final exam is scheduled on Tuesday, March 19 at 2:00pm  3:50pm in our usual classroom. Makeup exams will only be offered in the event of extreme circumstances. If you think you have a problem which will force you to miss an exam, come talk to me as soon as possible.

Help: Additional handouts will be distributed throughout the quarter. Students are also encouraged to ask for individualized help from the instructor at any time.

Students with Disabilities: If you qualify for academic accommodations because of a disability or medical issue, please submit a faculty letter to me from Disability Services Program (DSP) in a timely manner so that your needs may be addressed. DSP determines accommodations based on documented disabilities/medical issues. DSP is located on the 4th floor of Ruffatto Hall, 1999 E Evans Ave, 303-871-2278. Information is also available online at; see the Handbook for Students with Disabilities.

Honor Code: Follow the Honor Code in all activities related to this course. Incidents of academic misconduct will be reported to and investigated by the Office of Student Conduct.

Religious Accommodations: University policy grants students excused absences from class or other organized activities for observance of religious holy days, unless the accommodation would create an undue hardship. Faculty are asked to be responsive to requests when students contact them in advance to request such an excused absence. Students are responsible for completing assignments given during their absence, but should be given an opportunity to make up work missed because of religious observance. Once a student has registered for a class, the student is expected to examine the course syllabus for potential conflicts with holy days and to notify the instructor by the end of the first week of classes of any conflicts that may require an absence (including any required additional preparation/travel time). The student is also expected to remind the faculty member in advance of the missed class, and to make arrangements in advance (with the faculty member) to make up any missed work or in-class material within a reasonable amount of time.

Other: Check the DU academic calendar for important dates throughout the quarter: