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Position:
Northrop Professor,
University of Minnesota
Address:
School of Mathematics
University
of Minnesota
127 Vincent Hall,
206 Church St. SE,
Minneapolis, MN 55455
Office:
Vincent Hall 510
Phone:
1-612-624-4001
E-mail:
svitlana@math.umn.edu
Date of Birth:
June 2, 1981
Place of Birth:
Kharkiv, Ukraine
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Math 5587, Elementary Partial Differential Equations, Fall 2019
- Course Description: Math 5587-8 is a year course that introduces the basics of partial differential equations, guided by applications in physics, engineering, biology, and finance. Both analytical and numerical solution techniques will be discussed.
- Time and location: TuTh 4:45PM -
6:00PM, @ Amundson Hall 156
- Office hours: Tu 01:40 P.M. -
02:30 P.M,, Th 2:30 P.M.- 3:20 P.M. and by appointment. @
Vincent Hall 510. Please try to let me know in advance if you are coming to office
hours.
- Prerequisites: Strong background in linear algebra, multi-variable calculus, and ordinary differential equations. Some mathematical sophistication. Other topics will be introduced as needed. Basic familiarity with a programming language (Matlab preferrred) is required for numerical work.
-
Text: The course will be based on the book by Peter Olver. I intend to cover chapters 1-4, 6, and parts of Chapter 7 in the fall semester.
-
Homework: Homework will be assigned periodically throughout the semester and collected for grading. The assigned problems should be regarded as the minimum required for mastery of the material. No late homework will be accepted, but I will drop two lowest scores in the end of the semester.
Homework 1 Solutions for Homework 1
Homework 2 Solutions for Homework 2
Homework 3 Solutions for Homework 3
Homework 4 Solutions for Homework 4
Homework 5 Solutions for Homework 5
Homework 6 Solutions for Homework 6
Homework 7 Solutions for Homework 7
Homework 8 Solutions for Homework 8
Homework 9 Solutions for Homework 9
Homework 10 Solutions for Homework 10
Homework 11 Solutions for Homework 11
Homework 12 Solutions for Homework 12
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Exams: There will be three exams within the semester. Make-up exams will only be given in exceptional circumstances, and then only when notice is given to me prior to the exam and a suitable written excuse forthcoming.
- First Midterm: Tuesday, October 8
- Second Midterm: Thursday,
November 7
- Third Exam: Tuesday, December 10
-
Final: The third exam will serve as a Final.
-
Grading:
- Homework 30%
- First and Second Midterm: 20% each
- Third Midterm: 30% total
-
Student Conduct: Students are expected to be familiar with University of Minnesota Student Conduct Code, including the consequences for violation of standards of academic honesty.
Supplementary Texts:
- R. Haberman, Elementary Applied Partial Differential Equations, Third Edition, Prentice-Hall, Inc., Upper Saddle River, New Jersey, 1998.
- Y. Pinchover and J. Rubinstein, An Introduction to Partial Differential Equations, Cambridge University Press, Cambridge, 2005.
- W.A. Strauss, Partial Differential Equations: an Introduction, John Wiley & Sons, New York, 1992.