MAU22602 Introduction to numerical analysis

Module Code	MAU22602
Module Title	Introduction to numerical analysis
Semester taught	Semester 2
ECTS Credits	5
Module Lecturer	Prof. Stefan Sint
Module Prerequisites	MAU11202 Advanced calculus

This module is examined in a 2-hour examination at the end of Semester 2.
Continuous assessment contributes 50% towards the overall mark. A Matlab onboarding assignment will be given during the first week, and assignments which mix analysis and programming will be given roughly fortnightly thereafter.
The module is passed if the overall mark for the module is 40% or more. If the overall mark for the module is less than 40% and there is no possibility of compensation, the module will be reassessed as follows:
1) A failed exam in combination with passed continuous assessment will be reassessed by an exam in the supplemental session;
2) The combination of a failed exam and failed continuous assessment is reassessed by the supplemental exam;
3) A failed continuous assessment in combination with a passed exam will be reassessed by one or more summer assignments in advance of the supplemental session.

11 weeks of teaching with 3 lectures per week.

On successful completion of this module, students will be able to

Describe the concepts of conditioning and sensitivity of mathematical problems, as well as the formal characterization of a mathematical problem.
Carry out forward and backward error analysis.
Analyze and implement common interpolation schemes and root finding methods.
Work with vector/matrix/operator norms and relate those to the singular value decomposition of a matrix.
Analyze and implement direct methods and stationary iterative methods for solving linear equations.
Analyze and implement numerical integration techniques and numerical methods for solving ordinary differential equations.