Course Details in 2024/25 Session

Module Title	LI Numerical Algebra
School	Mathematics
Department	Mathematics
Module Code	06 31292
Module Lead	Liu Juan
Level	Intermediate Level
Credits	10
Semester	Semester 1
Pre-requisites
Co-requisites
Restrictions	Available to only students on the Jinan programmes
Exclusions
Description	Numerical linear algebra is a course about solving linear algebra problems using efficient algorithms on computers. It is often a fundamental part of engineering and computational science problems. In this course, we will learn numerical solutions of the classical problems of linear algebra including linear systems, least squares, and eigenvalue problems. Topics include some classic direct methods for non-singular linear systems, iterative methods for large-scale sparse linear systems, least squares problems and QR factorization, computation for eigenvalues and eigenvectors, singular value decomposition, and stability and convergence analysis of numerical methods. The course also includes significant lab work using Matlab, students will be required to perform some programming and computation so as to gain experience in implementing and observing the numerical performance of the various numerical methods.
Learning Outcomes	By the end of the module students should be able to: Compute numerical solutions of linear systems and determine eigenvalues and eigenvectors numerically using standard methods Model a real-world problem as a problem in numerical linear algebra Select or design a method or approach for solving a problem in numerical linear algebra Evaluate a method for its accuracy, stability, and computational cost
Assessment
Assessment Methods & Exceptions	Assessment: Class test (40%), final examination (60%). Reassessment (where allowed): a 2 hour resit examination
Other
Reading List