Module Code :

MA2104

IVLE

LumiNUS

Module Title : 
Multivariable Calculus 
Module Description : 
This is a module on the calculus of functions of several real variables, applications of which abound in mathematics, the physical sciences and engineering. The aim is for students to acquire computational skills, ability for 2 and 3D visualisation and to understand conceptually fundamental results such as Green’s Theorem, Stokes’ Theorem and the Divergence Theorem. Major topics: Euclidean distance and elementary topological concepts in Rn, limit and continuity, implicit functions. Partial differentiation, differentiable functions, differentials, chain rules, directional derivatives, gradients, mean value theorem, Taylor’s formula, extreme value theorem, Lagrange multipliers.
Multiple integrals and iterated integrals, change of order of integration, applications, Jacobian matrix, change of variables in multiple integrals. Line integrals and Green’s theorem. Surface integrals, Stokes’ Theorem, Divergence Theorem. 
Module Examinable : 


Exam Date : 
29042019 EVENING

Modular Credits : 
4 
Prerequisite : 
MA1102R or MA1505 or MA1511 or MA1521 
Preclusion : 
MA1104, MA2311, MA1507, MPE students 
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  800  1000  LT34,

1  LECTURE  EVERY WEEK  THURSDAY  1200  1400  LT33,


Class  Type  Week Type  Week Day  Start  End  Room 
Iteration 
1  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  WEDNESDAY  1600  1700  S170405,

Available in Tutorial Balloting [Iteration 2].

2  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  TUESDAY  1000  1100  S170405,

Available in Tutorial Balloting [Iteration 2].

3  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  TUESDAY  1100  1200  S170405,

Available in Tutorial Balloting [Iteration 2].

4  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  FRIDAY  1600  1700  S170404,

Available in Tutorial Balloting [Iteration 2].

5  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  WEDNESDAY  1700  1800  S170405,

Available in Tutorial Balloting [Iteration 2].

6  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  FRIDAY  1700  1800  S170404,

Available in Tutorial Balloting [Iteration 2].


