Module Catalogues, Xi'an Jiaotong-Liverpool University   
 
Module Code: MTH017
Module Title: Linear Algebra for Mathematical Science
Module Level: Level 0
Module Credits: 5.00
Academic Year: 2019/20
Semester: SEM1/SEM2
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.

To increase students ablility of learning academic contents in English
Learning outcomes 
A To provide students with a good understanding of the concepts and methods of linear algebra, described in detail in the syllabus.

B To help the students develop the ability to solve problems using linear algebra.

C To connect linear algebra to other fields both within and without mathematics.

D To develop abstract and critical reasoning by studying the proofs and methods as applied to linear algebra.
Method of teaching and learning 
Students will be expected to attend 2*2 hours of formal lectures with integrated tutorials about problem solving in a typical week. Lectures introduce students to the academic content and practical skills which are the subject of the module and tutorials integrated in the lectures will give students more feedback on the course work.

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 Systems of linear equations: the structure of the solutions of homogeneous and non-homogeneous systems of linear equations, applications of systems of linear equations.


Part 2 Matrices: basic concepts and operations on matrices, elementary transformation of matrices, elementary matrices, inverse matrices.


Part 3 Determinants: definitions, properties, evaluation of determinants, Cramer’s Rule, applications to adjoint matrices and inverse determinants formula.


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


Part 5 Eigenvalue and eigenvectors. Diagonization. Real symmetric matrix and quadratic forms.


Part 6 General vector space and Euclidean vector space. (Base, dimension, inner product, Gram-Schmidt process).
Delivery Hours  
Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total
Hours/Semester 52          98  150 

Assessment

Sequence Method % of Final Mark
1 Written Examination 70.00
2 Midterm Exam 20.00
3 Course Work 10.00

Module Catalogue generated from SITS CUT-OFF: 8/20/2019 6:19:31 PM