Module Catalogues, Xi'an Jiaotong-Liverpool University   
 
Module Code: MTH015
Module Title: Introductory Linear Algebra
Module Level: Level 0
Module Credits: 2.50
Academic Year: 2019/20
Semester: SEM1
Originating Department: Mathematical Sciences
Pre-requisites: N/A
   
Aims
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 
A to have a good understanding of the basic concepts which are the subject of this module

B to be skillful of problem solving

C 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.
Syllabus 
Part 1 Matrices: basic concepts and operations on matrices, elementary transformation of matrices, elementary matrices, inverse matrices.


Part 2 Systems of linear equations: Cramer’s Rule, the structure of the solutions of homogeneous and non-homogeneous systems of linear equations, applications of systems of linear equations.


Part 3 Determinants: definitions, properties, evaluation of determinants, applications to adjugate matrices and inverse determinants formula.


Part 4 Vector space: vectors, linear independence of vectors and its determination, applications of linear independence of vectors.


Part 5 Introduction to scalar product.


Part 6 Introduction to eigenvalue and eigenvectors.



Delivery Hours  
Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total
Hours/Semester 24     2      49  75 

Assessment

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

Module Catalogue generated from SITS CUT-OFF: 8/20/2019 6:19:26 PM