##
Mathematics 3 - Vector Calculus and Partial Differential Equations

## WS 2019/20

Lectures: Monday 15:15 - 16:45, Kleiner Hörsaal 281; Tuesday 09:15 - 10:45, Theoretischer Hörsaal 294 (Linnestraße 5)

Tutorial classes: Friday 13:30 - 15:00, Kleiner Hörsaal 281(Linnestraße 5) by Sayed Mohammad Reza Hashemi [hashemi at math.uni-leipzig.de]

Office hours: Thursday 17:00 - 18:30, Office A 327, Augusteum, Mathematisches Institut, Augustusplatz 10

In order to be admitted to the exam, it is necessary to score at least 50% of total points

## PREVIOUS COURSES MATH 1 and MATH 2

Web page of the course: Math 1, Math 2

## TOPICS

Integration in R^n: domain, line and surface integrals;
Gradient, divergence and curl;
Gauss's divergence, Green's and Stoke's theorems;
Holomorphic functions;
Complex line integral;
Laurent series;
Residues;
Heat, wave and Laplace equations;
Fourier transform
## BASIC LITERATURE

Axel Schüler "Calculus 1 to 4"
Artem Sapozhnikov "Lecture notes, Part I (Math 3)"
Vladimir Zorich "Mathematical Analysis II"
B.V. Shabat "Introduction to Complex Analysis"
A. N. Tikhonov, A. A. Samarskii "Equations of Mathematical Physics"
## ADDITIONAL LITERATURE

H. Heuser "Lehrbuch der Analysis Teil 1", 17. Auflage, Vieweg+Teubner 2009
H. Fischer, H. Kaul "Mathematik für Physiker, Band 1 and 2: Grundkurs", Vieweg+Teubner 2011
Walter Rudin "Principles of Mathematical analysis"
Gregory P Dresden, Brian Bradie, Jon Rogawski "Student Solutions Manual Multivariable Calculus"
## EXAM

Exam solutions

Results of the exam are available on AlmaWeb (see Material for the complete course)

You can see your works in my office between 16:00 and 18:00 on Friday, February 7

## LECTURE NOTES

Notes

(These are lecture notes which mainly consist of definitions, statements and examples)

If you find any mistakes, please contact Raphael [dl18bewa at studserv.uni-leipzig.de] who is typing these lecture notes

Handwritten lecture notes

## PROBLEM SHEETS

Sheet 1 (by 16:45, Oct 28)

Sheet 2 (by 16:45, Nov 4)

Sheet 3 (by 16:45, Nov 11)

Sheet 4 (by 16:45, Nov 18)

Sheet 5 (by 16:45, Nov 25)

Sheet 6 (by 10:45, Dec 3)

Sheet 7 (by 16:45, Dec 9)

Sheet 8 (by 16:45, Dec 16)

Sheet 9 (by 10:45, Jan 7)

Sheet 10 (by 16:45, Jan 13)

Sheet 11 (by 16:45, Jan 20)

Sheet 12 (by 16:45, Jan 27)

Sheet 13 for bonus points (by 18:30, Jan 30)

Homework exercises Please pay your attention on marked exercises. Similar ones could be at the exam

Grades (Homework 1-13)

If you have any questions about your grades, please contact Maryna Konarovska [maryna.konarovska@gmail.com] who corrects all homework, or me