Lecturer : Dr Lacri Iancu, 8.150 V57, iancu(at)mathematik.uni-stuttgart.de

Teaching Assistant : Dr Matthew Pressland, 7.355 V57, Matthew.Pressland(at)mathematik.uni-stuttgart.de,
Office hours : Wednesday 15:30 -- 17:30.

Tutors : Sherif Badawii sherif.badawii(at)gmail.com, Roshwin Sengupta roshwinsengupta(at)gmail.com,
Arbenit Kryeziu st152917(at)stud.uni-stuttgart.de.

The **lectures begin** on Tuesday, 17 October 2017.

The **exercise classes
begin** on Thursday/Friday 19/20 October 2017 ; you can find the first
exercise sheet below on this page ("Some revision exercises").

**Lectures**

Tuesday 8.00-9.30 V38.04

Thursday 8.00-9.30 V57.06

**Exercise classes**

Thursday 15.45-17.15 Pfaff 57 -- V57.05

Friday 8.00-9.30 Pfaff 47 -- V47 4.282

** ABOUT THE FINAL EXAMINATION :**

- Date/time : 6 March 2018, 11.00 -- 13.00, in V47.02.
- The exam covers everything from the lecture and the exercises.
- After inspection of attendance lists, I can confirm that all students are admitted in the final exam.
- You are allowed to bring 10 single DIN A4 pages (5 double pages) of paper with you on which you can write anything you like. These pages can be handwritten or printed from a computer. A calculator, mobile phone, etc. is not allowed. You should also bring enough paper to write on.
- The exam is passed in any case if you have at least 50% of the points. The final passing limit could turn out somewhat less than 50% (for example 45%).
- Please do not use red ink and use a pencil only for drawings and sketches.
- If you guess a result (which is sometimes possible) please make sure to check explicitly that your result is correct.

THE PRELIMINARY **NAME LISTS** FOR THE TWO EXERCISE CLASSES

are
here .
If you signed for Thursday afternoon, but can
actually attend Friday morning, then please do so ; right now the
Thursday class is a bit crowded. Do not worry if
your name is not on the preliminary lists ; just show up in one of
the exercise classes and sign up there ! Also, please sign up in Campus accordingly.
At the beginning of each exercise class there will be a list on which you can mark those exercises that you have prepared well enough to give a short presentation of the solution at the blackboard. To be admitted to the exam at the end of term you need to have

- marked at least 50% of the exercises on the list and
- given at least once a presentation of a solution to an exercise at the blackboard.

Lecture 1: Complex numbers

Lecture 1 - 4: Linear algebra

Lecture 5 - 8: Ordinary differential equations

Lecture 8 - 11: Calculus of functions with several variables

Lecture 11 - 17: Vector calculus

Lecture 18 - 22: Abstract algebra -- Fields and Polynomials

Lecture 23 - 27: Coding theory

Lecture 28 - 30: Combinatorics and probability theory

**Literature**

E. Kreyszig, *Advanced Engineering Mathematics*, John Wiley and Sons 1999.

J. Marsden and A. Weinstein, *Calculus III*, Springer 1985.

David C. Lay, *Linear Algebra and its Applications*, Pearson 2010.

Sheldon Axler, *Linear Algebra Done Right*, Springer 2004.

P.Garrett, * The Mathematics of Coding Theory*, Pearson, Prentice Hall 2003.

D. W. Hardy and C. L. Walker, * Applied Algebra: Codes, Ciphers and Discrete Algorithms*,
Chapman and Hall 2009.

The material studied in this course is fairly standard, so any book containing
chapters on the topics mentioned in the course syllabus will be useful. Here are
some titles and some lecture notes on the internet :

Abstract Algebra:
Theory and Applications by T.W. Judson, Stephen F. Austin State University

Introduction to Algebraic Coding Theory by Sarah Spence Adams, Northern Illinois University

Algebraic Coding Theory by Michael Toymil, University of Puget Sound

Notes on (line, multiple, surface) integrals, Paul's Online Math Notes, Lamar University

** Various exam papers**

Mock exam 1,
Solutions to Mock exam 1,
Past exam 1,
Solutions to Past exam 1,
Past exam 2,
Mock exam 2,
Solutions to Mock exam 2,
Final Exam 2017.

**Exercise sheets**

Some revision exercises,
Exercise sheet 1,
Exercise sheet 2,
Exercise sheet 3,
Exercise sheet 4, corrected version at Q2b)and c) ,
Exercise sheet 5,
Exercise sheet 6,
Exercise sheet 7,
Exercise sheet 8 ,
Exercise sheet 9,
Exercise sheet 10,
Exercise sheet 11,
Exercise sheet 12,
Exercise sheet 13,
Exercise sheet 14.

**Solutions to the exercises**

These solutions were prepared for or by the tutors. They could still contain errors.
If you think that you
have found a mistake, please send us an e-mail.

Solutions to revision exercises ,
Exercise 1 Solutions,
Exercise 2 Solutions,
Exercise 3 Solutions,
Exercise 4 Solutions,
Exercise 5 Solutions,
Exercise 6 Solutions,
Exercise 7 Solutions,
Exercise 8 Solutions,
Exercise 9 Solutions,
Exercise 10 Solutions,
Exercise 11 Solutions,
Exercise 12 Solutions,
Exercise 13 Solutions,
Exercise 14 Solutions.

**Slides from the lecture**

A preliminary version of the slides will appear before the lecture. Note that there
still might be some changes necessary. The final version will appear on the afternoon
after the lecture.

Lecture 1,
Lecture 2,
Lecture 3,
Lecture 4,
Lecture 5,
Lecture 6,
Lecture 7,
Lecture 8,
Lecture 9,
Lecture 10,
Lecture 11,
Lecture 12,
Lecture 13,
Lecture 14,
Lecture 15,
Lecture 16,
Lecture 17,
Lecture 18,
Lecture 19,
Lecture 20,
Lecture 21,
Lecture 22,
Lecture 23,
Lecture 24,
Lecture 25,
Lecture 26,
Lecture 27,
Lecture 28.