Module Catalogues, Xi'an Jiaotong-Liverpool University   
Module Code: MTH007
Module Title: Linear Algebra
Module Level: Level 0
Module Credits: 2.50
Academic Year: 2021/22
Semester: SEM1
Originating Department: Department of Pure Mathematics
Pre-requisites: N/A
To give students a broad education in linear algebra

To give students an appreciation of the application of linear algebra;

To develop the students' ability to work independently and to acquire the skill of problem solving.
Learning outcomes 
On successful completion of this module, students are expected

- to have a good understanding of the basic concepts which are the subject of this module;

- to be skilful of problem solving;

- to be able to establish mathematical models for simple practical problems.
Method of teaching and learning 
Students will be expected to attend about 2 hours of formal lectures and supervised problem classes or tutorials in a typical week. Lectures and tutorials will introduce students to the academic content and practical skills which are the subject of the module, while tutorials and problem classes will allow students to practice those skills.

In addition to the time of classes, students will be expected to devote the unsupervised time to private study.
Private study will provide time for reflection and consideration of lecture material and background reading.

Continuous assessment including home assignment marking will be used to test to what extent practical skills have been learnt. Written examination at the end of the semester constitutes the major part of the assessment of the academic achievement of students.
Part 1 Determinants and matrices: definitions, properties, calculation of determinants, operations on matrices and inverse matrices, elementary transformation of matrices

Part 2 Vector space: vectors, linear independence of vectors and its determination, rank of matrix, applications of linear independence of vectors

Part 3 System of linear equations: Gaussian elimination, the structure of the solution of homogeneous and non-homogeneous system of linear equations, applications of system of linear equations

Part 4 Introduction to eigenvalue and eigenvectors
Delivery Hours  
Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total
Hours/Semester 24     2      49  75 


Sequence Method % of Final Mark
1 Written Examination 80.00
2 Course Work 20.00

Module Catalogue generated from SITS CUT-OFF: 12/2/2020 4:49:50 AM