Module Code :

MA4221

IVLE

LumiNUS

Module Title : 
Partial Differential Equations 
Module Description : 
The objective of this introductory course is to provide the basic properties of partial differential equations as well as the techniques to solve some partial differential equations. Partial differential equations are the important tools for understanding the physical world and mathematics itself. This course will cover three types of partial differential equations and will provide a broad perspective on the subject, illustrate the rich variety of phenomena and impart a working knowledge of the most important techniques of analysis of the equations and their solutions.
Major topics: Firstorder equations. Quasilinear equations. General firstorder equation for a function of two variables. Cauchy problem. Wave equation. Wave equation in two independent variables. Cauchy problem for hyperbolic equations in two independent variables. Heat equation. The weak maximum principle for parabolic equations. Cauchy problem for heat equation. Regularity of solutions to heat equation. Laplace equation. Green's formulas. Harmonic functions. Maximum principle for Laplace equation. Dirichlet problem. Green's function and Poisson's formula. 
Module Examinable : 


Exam Date : 
09052019 EVENING

Modular Credits : 
4 
Prerequisite : 
MA3220 
Preclusion : 
Nil 
Module Workload (ABCDE)* : 
31006 
Remarks : 
Nil 
* 
A: no. of lecture hours per week
B: no. of tutorial hours per week
C: no. of laboratory hours per week
D: no. of hours for projects, assignments, fieldwork etc per week
E: no. of hours for preparatory work by a student per week
 
Class  Type  Week Type  Week Day  Start  End  Room 
1  LECTURE  EVERY WEEK  MONDAY  1000  1200  LT33,

1  LECTURE  EVERY WEEK  THURSDAY  1000  1200  LT21,


Class  Type  Week Type  Week Day  Start  End  Room 
Iteration 
1  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  FRIDAY  1200  1300  S170405,

Available in Tutorial Balloting [Iteration 2].


