You are here

AMATH 401 A: Vector Calculus and Complex Variables

Meeting Time: 
MWF 2:30pm - 3:20pm
Location: 
LOW 105
SLN: 
10219
Instructor:
SDyachenko
Sergey Dyachenko

Syllabus Description:

Instructor:

Sergey Dyachenko (email sergd@uw.edu )

Alanna Gary (email apgary@uw.edu) AMATH 401

Xin Yang (email yangxin@uw.edu ) AMATH 501

Time & Place:

AMATH 401  A       MWF 2:30 - 3:20 pm,  Loew Hall 105
AMATH 501 A       MWF 1:30 - 2:20 pm,  Loew Hall 205

Homework Assignments:

Homework Assignments with due dates will be posted at Homework.

Office Hours: 

Monday 4-5pm, Thursday 12-1pm Lewis Hall 230A

Monday 9-10 am, Lewis Hall 129 (Alanna Gary AMATH 401)

Tuesday 1-2pm, Lewis Hall 128 (Alanna Gary AMATH 401)

Online Office Hours:

Wednesday and Thursday, 9-10am (Xin Yang AMATH 501)

https://global.gotomeeting.com/join/464605509

You can also dial in using your phone.
United States: +1 (872) 240-3212 <+18722403212,,464605509#>                         Access Code: 464-605-509

Video-conferencing room or system:
Dial in or type: 67.217.95.2 or inroomlink.goto.com
Meeting ID: 464 605 509
Or dial directly: 464605509@67.217.95.2 or 67.217.95.2##464605509

Message Board:

We will use Piazza for message board.

Course Description:

Emphasizes acquisition of solution techniques; illustrates ideas with specific example problems arising in science and engineering. Includes applications of vector differential calculus, complex variables; line-surface integrals; integral theorems; and Taylor and Laurent series, and contour integration.

Prerequisite:

MATH 126 or MATH 136

Required Materials:

There are no required textbooks.

Optional Materials:

- Vector Calculus

Davis, H. F. and Snider, A. D. 1979. Introduction to Vector Analysis. Allyn and Bacon, Boston

- Complex Variables

Agarwal, R. P., Perera, K., and Pinelas, S. 2011. An Introduction to Complex Analysis, Springer, New York

Bak, J. and Newman, D. J. 2010. Complex Analysis, Springer, New York

Cohen, H. 2007. Complex Analysis with Applications in Science and Engineering, Springer, New York

Ponnusamy, S. and Silverman, H. 2006. Complex Variables with Applications, Birkhauser, Boston

Grading Policy:

The overall grade for the class is accumulated from the scores of homework (40%) and exams (60%). There is one midterm exam, and the final exam. The grade for the class is assigned at the end of the quarter after the final exam is graded, however you are welcome to email me with questions about your current grade at any time during the semester to see how well you are doing.  All missing work (HWs/Exams) is awarded zero points, so be sure to turn-in on time. The written work is expected to be neat: illegible work will not be graded. Answers to problems without supporting work or solution will receive no credit.

Homework Policy:

One lowest homework score is dropped. You are encouraged to cooperate while doing homework, but you are expected to complete the homework on your own and to write the solutions in your own words, and not contain pieces taken verbatim from elsewhere. The homework that looks too much alike will not be counted. 

-on-campus students:

Homework should be turned in by 5pm on the due date. All homework must be stapled.

- online students:

Send your homework to the teaching assistant (TA) assigned to your section.

Examination Policy (online students) :

Local online students may take exams on the UW Seattle campus if there is space available in the classroom. Check with the TA to confirm your seat.  Otherwise, online exams must be proctored:

Exam Proctoring

Midterms and finals must be completed on the same day and (if possible) at the same time as the in-class course. If the indicated schedule cannot be arranged, contact the professor or TA to discuss an alternative time. For reference, Seattle is in the Pacific time zone and observes daylight saving time.

Course Content: (tentative)

- Vector analysis (4 weeks):

  • Vector fields and vector calculus
  • Orthogonal coordinates
  • Gradient, Divergence and Curl
  • Line, surface and volume integrals
  • Green's theorem, Stokes' theorem, and divergence theorem

- Complex analysis (6 weeks):

  • Complex numbers
  • Functions of complex variable
  • Analyticity
  • Integration
  • Cauchy's theorem and the Cauchy integral formula
  • Taylor and Laurent series
  • Residues and contour integration
  • Fourier Transform

Tentative Exam Dates:

Midterm Exam Monday, October 28
Final Exam for Section 401 A 2:30-4:20 pm,  Tuesday, December 10
Final Exam for Section 501 A 2:30-4:20 pm,  Monday, December 9

Religious Accommodation Policy:

Washington state law requires that UW develop a policy for accommodation of student absences or significant hardship due to reasons of faith or conscience, or for organized religious activities. The University of Washington policy, including information about how to request an accommodation, is available at Faculty Syllabus Guidelines and Resources. Accommodations must be requested within the first two weeks of this course using the Religious Accommodations Request form available at

https://registrar.washington.edu/students/religious-accommodations-request/.

Catalog Description: 
Emphasizes acquisition of solution techniques; illustrates ideas with specific example problems arising in science and engineering. Includes applications of vector differential calculus, complex variables; line-surface integrals; integral theorems; and Taylor and Laurent series, and contour integration. Prerequisite: either MATH 126 or MATH 136. Offered: A.
GE Requirements: 
Natural World (NW)
Credits: 
4.0
Status: 
Active
Last updated: 
September 3, 2019 - 9:00pm
Share