Advanced Higher Mathematics for INFOTECH

Lecturer : Dr Lacri Iancu, 8.150 V57, iancu(at)
Teaching Assistant : Dr Matthew Pressland, 7.355 V57, Matthew.Pressland(at), Office hours : Wednesday 15:30 -- 17:30.
Tutors : Sherif Badawii sherif.badawii(at), Roshwin Sengupta roshwinsengupta(at), Arbenit Kryeziu st152917(at)

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").

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

Two dates : 28 May, 14:00-16:00, in V57 8.135 and 25 June, 14:00-16:00, in V57 8.135. Please register for the exam in Campus and attend one of these dates.

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

Course syllabus
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

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.