Module Catalogues, Xi'an Jiaotong-Liverpool University   
 
Module Code: MTH123
Module Title: Differential Equations for Engineers
Module Level: Level 1
Module Credits: 5.00
Academic Year: 2019/20
Semester: SEM1
Originating Department: Mathematical Sciences
Pre-requisites: N/A
   
Aims
The module aims to equip students with an understanding of the analytical techniques available to solve first and second order ordinary differential equations, systems of first order linear differential equations, and first and second order partial differential equations that are commonly used and appear in engineering problems.
Learning outcomes 
A Solve first order ordinary differential equations.

B Solve second order linear, homogeneous, ordinary differential equations with constant and with variable coefficients.

C Solve simple systems of first order linear ordinary differential equations using eigenvalues and eigenvectors.

D Demonstrate familiarity with basic concepts of the theory of Fourier series and their application to the solution of partial differential equations.

E Solve simple first order partial differential equations.

F Solve elementary boundary value problems for second order linear partial differential equations using the method of separation of variables.




Method of teaching and learning 
The module is delivered through formal lectures and tutorials.
Syllabus 
Solution of separable, homogeneous, and linear first order ordinary differential equations.


Solution of second order ordinary linear differential equations, Euler's differential equation.


Revision of eigenvalues and eigenvectors for small matrices and solutions of systems of first order linear differential equations.


Fourier series; sine series, cosine series, full-range series for functions with arbitrary periods.


First order partial differential equations solved using the method of characteristics.


Second order linear partial differential equations; Wave equation, Laplace’s equation, Diffusion equation and their applications, series solution of boundary value problems by the method of separation of variables.


Delivery Hours  
Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total
Hours/Semester 39    13      98  150 

Assessment

Sequence Method % of Final Mark
1 Final Examination 85.00
2 Coursework 15.00

Module Catalogue generated from SITS CUT-OFF: 8/20/2019 6:24:16 PM