Module Code :

MA3110

IVLE

Module Title : 
Mathematical Analysis II 
Module Description : 
This is a continuation of MA2108 Mathematical Analysis I. The objective of this module is to introduce the student to the contents and methods of elementary mathematical analysis. The course develops rigorously the following concepts arising from calculus: the derivative, the Riemann integral, sequences and series of functions. The emphasis is on logical rigour. The student will be exposed to and be expected to acquire the skills to read and write mathematical proofs. Major topics: Differentiation: the derivative, Mean Value Theorem and applications, L'Hospital rules, Taylor's Theorem. The Riemann integral: Riemann integrable functions, the Fundamental Theorem of Calculus, change of variable, integration by parts. Sequences of functions: Pointwise and uniform convergence, interchange of limits and continuity, derivative and integral, the exponential and logarithmic functions, the trigonometric functions. Series of functions: Cauchy criterion, Weierstrass Mtest, power series, radius of convergence, termbyterm differentiation. 
Module Examinable : 


Exam Date : 
24112018 AM

Modular Credits : 
4 
Prerequisite : 
MA2108 or MA2108S 
Preclusion : 
MA2118, MA2118H, MA2205, MQ3202, MA3110S, ST2236. 
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  WEDNESDAY  800  1000  LT29,

1  LECTURE  EVERY WEEK  FRIDAY  1600  1800  LT34,


Class  Type  Week Type  Week Day  Start  End  Room 
Iteration 
1  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  THURSDAY  900  1000  S170404,

Available in Tutorial Balloting [Iteration 2].

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

Available in Tutorial Balloting [Iteration 2].


