Module Code :

MA2108

IVLE

Module Title : 
Mathematical Analysis I 
Module Description : 
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 real number system, sequences and series of constant terms, limit and continuity 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: Basic properties of real numbers, supremum and infimum, completeness axiom. Sequences, limits, monotone convergence theorem, BolzanoWeierstrass theorem, Cauchy's criterion for convergence. Infinite series, Cauchy's criteria, absolute and conditional convergence, tests for convergence. Limits of functions, fundamental limit theorems, onesided limits, limits at infinity, monotone functions. Continuity of functions, intermediatevalue theorem, extremevalue theorem, inverse functions. 
Module Examinable : 


Exam Date : 
05122018 EVENING

Modular Credits : 
4 
Prerequisite : 
MA1102R or MA1505 or MA1511 or MA1505C or MA1507 or MA1521 
Preclusion : 
MA2108S, MA2206, MA2208, MA2221, MA2311, MQ2202, MQ2102, MQ2203, CN2401, EE2401, ME2492 
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  LT34,

1  LECTURE  EVERY WEEK  FRIDAY  1600  1800  LT21,


Class  Type  Week Type  Week Day  Start  End  Room 
Iteration 
1  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  WEDNESDAY  1300  1400  S170405,

Available in Tutorial Balloting [Iteration 2].

2  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  WEDNESDAY  1500  1600  S170404,

Available in Tutorial Balloting [Iteration 2].

3  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  WEDNESDAY  1200  1300  S170405,

Available in Tutorial Balloting [Iteration 2].


