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Department of Mathematics

Numerical Analysis (G5147)

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Numerical Analysis

Module G5147

Module details for 2025/26.

15 credits

FHEQ Level 5

Module Outline

• Numerical differentiation with order of approximation
• Finite Difference approximations of very basic initial value problems
• Direct solvers for linear systems: LU, Cholesky, QR
• Basic iterative solvers: Jacobi/Gauss-Seidel/SOR
• Nonlinear equations: Banach fixed point theorem, Newton’s method

Module learning outcomes

Be familiar with numerical methods for approximating basic initial value problems;

Implement numerical methods to evaluate the solution of linear systems of equations;

Understand the theory behind iterative techniques for solving nonlinear equations;

TypeTimingWeighting
Coursework10.00%
Coursework components. Weighted as shown below.
PortfolioT2 Week 10 100.00%
Coursework10.00%
Coursework components. Weighted as shown below.
Problem SetT2 Week 4 25.00%
Problem SetT2 Week 6 25.00%
Problem SetT2 Week 9 25.00%
Problem SetT2 Week 10 25.00%
Unseen ExaminationSemester 2 Assessment80.00%
Timing

Submission deadlines may vary for different types of assignment/groups of students.

Weighting

Coursework components (if listed) total 100% of the overall coursework weighting value.

TermMethodDurationWeek pattern
Spring SemesterLecture1 hour11111111110
Spring SemesterLecture2 hours11111111110
Spring SemesterWorkshop1 hour01111111111

How to read the week pattern

The numbers indicate the weeks of the term and how many events take place each week.

Dr Chandrasekhar Venkataraman

Convenor, Assess convenor
/profiles/203407

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The University reserves the right to make changes to the contents or methods of delivery of, or to discontinue, merge or combine modules, if such action is reasonably considered necessary by the University. If there are not sufficient student numbers to make a module viable, the University reserves the right to cancel such a module. If the University withdraws or discontinues a module, it will use its reasonable endeavours to provide a suitable alternative module.