MAU34604 Introduction to numerical analysis
| Module Code | MAU34604 |
|---|---|
| Module Title | Introduction to numerical analysis |
| Semester taught | Semester 2 |
| ECTS Credits | 5 |
| Module Lecturer | Prof. Stefan Sint |
| Module Prerequisites | MAU11202 Advanced calculus |
Assessment Details
- 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.Capping of reassessments applies to Theoretical Physics (TR035) students enrolled in this module. See full text at https://www.tcd.ie/teaching-learning/academic-affairs/ug-prog-award-regs/derogations/by-school.php Select the year and scroll to the School of Physics.
Contact Hours
11 weeks of teaching with 3 lectures per week.
Learning Outcomes
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.
Module Content
- Polynomial interpolation, root-finding, optimization and numerical integration.
- Numerical methods for solving linear systems of equations and ODEs.