Numerical Analysis - MAT00041H
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- Department: Mathematics
- Module co-ordinator: Dr. Eric Dykeman
- Credit value: 20 credits
- Credit level: H
Academic year of delivery: 2021-22
Calculus (MAT00001C) and Algebra (MAT0010C), or
Mathematics for the Sciences I (MAT00007C) and Mathematics for the Sciences II (MAT00008C).
Plus Mathematical Skills II (MAT00027I), or sufficient programming skills obtained otherwise (e.g., through the Mathematics and Computer Science Combined programme)
Module will run
||Autumn Term 2021-22 to Spring Term 2021-22
- To introduce numerical approximation techniques for solving standard problems in Mathematics, and explain when and why they work.
- To derive some of these techniques rigorously from first principles.
- To explain how (packaged) computer software is able to produce numerical solutions, and to enable a judgement of whether the results are reliable.
- To provide opportunities for implementing numerical techniques on a computer.
Module learning outcomes
- Derive elementary numerical methods from first principles.
- Apply the numerical methods discussed to simple examples, using pen and paper (i.e., without the help of a computer).
- Implement numerical methods using computer software, and apply them in examples.
- Compute error estimates for simple numerical methods.
- Judge under which circumstances a given numerical method is reliable.
Academic and graduate skills
- Understand some elements of computer programming
- Understand the concept of computer algorithms
- Numerical errors
- Root finding for functions of one variable
- Root finding for functions of several variables
- Solving linear equation systems
- Interpolation by polynomials
- Numerical integration
- Numerical differentiation
- Initial value problems for ordinary differential equations
- Boundary value problems for ordinary differential equations
- Partial differential equations
||% of module mark
Special assessment rules
||% of module mark
Reassessment - closed examination - 3 hrs
Current Department policy on feedback is available in the undergraduate student handbook. Coursework and examinations will be marked and returned in accordance with this policy.
R L Burden and J D Faires, Numerical Analysis, Brooks/Cole