Faculty of Science



Introduction

The Mathematics and Statistics(M&S) Department offers a variety of courses ranging from pure Mathematics to application courses for the mathematically inclined student and for those who seek to become better teachers and students of mathematics.
The programmes availableare for the award of a (1) "Certificate in Mathematics" (CertMaths); and (2) "Diploma in Mathematics"(Dip.Maths). Furthermore, students enrolled in degree programmes(ie. Bachelor Of Science, Bachelor of Arts, Bachelor of Education, Bachelor of Commerce or Bachelor of Nursing) of the University may take a selected number of Mathematics courses to enable them to have Mathematics as a major, minor or elective subject, in accordance with the requirements of the M&S Department and respective Degree Statutes.

ELIGIBILITY

A candidate shall be eligible to enrol in any programmes offered by the M&S department provided they meet the minimum entry requirements as described below:

For the programmes of:
Certificate in Mathematics
Diploma in Mathematics
BA/BSc(Mathematics)

Minimum entry requirements are passes in:
HMA010 or equivalent
HMA020 or equivalent
HST050 or equivalent
Those who do not meet the above minimum entry-requirements must indertake, and pass the the appropriate(preliminary) courses: 

	HMA055	Basic Mathematics I
	HMA056	Basic Mathematics II
before being eligible to enroll in HMA010, HMA020 and HST050

OUTLINE OF PROGRAMMES

course requirements for each of the programmes are as explained below.
CERTIFICATE IN MATHEMATICS
This programme consists of 6 courses to be selected as follows:
a) Compulsory Courses(4 courses) 
	HMA111	Linear Algebra I
	HMA121	Calculus I
	HMA211	Linear Algebra II
	HMA222	Multiple-Variable Calculus
 b) Option(2 courses) - Choose only one option


Option A - HST151	Statistics&Probability
		  HST251	Regression&Experimental Design


Option B	- HMA271	Mathematical Perspectives
		- HMA221	Constructivistic Calculus


Option C	- HST151	Statistics&Probability
HMA223 Numerical Methods
DIPLOMA IN MATHEMATICS
This programme consists of 10 courses to be selected as explained below:
a) Compulsory courses(7 courses) 
	HMA111		Linear Algebra I
	HMA121		Calculus I
	HMA151		Statistics&Probability
	HMA211		Linear Algebra II
	HMA222		Multi-Variable Calculus
	HMA311		Complex Variables
	HMA321		Ordinary and Partial Differential Equations
Options(3 courses) - Choose only one option 
Option A	HMA271	Mathematical Perspective
		HMA221	Constructive Calculus	
		HMA300	Suprvised Research


Option B	HCS181	Computer Programming I
		HCS281	Computer Programming IIa
		HCS381	Programming Language Concepts&Paradigms


Option C	HCS181	Computer Programming I
		HMA223	Numerical Methods	
		HMA323	Real Analysis


Option D	HCS281	Computer Programming IIa	
		HCS286	Computer Programming IIb		
		HCS381	Programming Language Concepts&Paradigms


Option E	HMA223	Numerical Methods
		HST251	Regression&Experimental Design
		HST351	Sample Survey&sample Techniques
A SINGLE DEGREE MAJOR IN MATHEMATICS
A degree single in Mathematics consists of 12 Mathematics courses to be selected as explained below.
a) Compulsorsy Courses(6 courses) 
	HMA111	Linear Algebra I	
	HMA121	Calculus I	
	HMA211	Linear Algebra
	HMA222	Multi-Variable Calculus
	HMA311	Complex Variables	
	HMA321	Ordinary and Partial Differential Equations
Option(6 courses) - Select from the following 
		i)   Option A & Option B
		ii)  Option A & Option D
		iii) Option B & Option C	
		iv)  Option B & Option D

Option A	HMA271	Mathematical Perspectives
		HMA221	Constructives Calculus
		HMA300	Supervised Research


Option B	HCS181	Computer Programming I
		HMA223	Numerical Methods	
		HMA323	Real Analysis


Option C	HST151	Statistics&Probability
		HMA271	Mathematical Perspective
		HMA300	Suprvised Research


Option D	HST151	Statistics&Probability
		HST251	Regression&Experimental Design
		HST351	Sample Survey&sample Techniques
A DEGREE DOUBLE MAJOR IN MATHEMATICS
A double major consists of 9 Mathematics courses to be selected as explained below. The rest of the courses should be selected from other faculties(within the NUS) with degree programmes.
a) Compulsory Courses(6 courses)
As for the single major in Mathematics above
b) Options(3 courses)
Select ONE option from Options A, B, C and D described for the "Degree Single Major in Mathematics."
A DEGREE MINOR IN MATHEMATICS
A minor in Mathematics consists of 4 courses: HMA111, HMA121, HMA222 HMA211 and if preferred, one other course fromm 200 or 300 level.
DEGREE ELECTIVE FROM MATHEMATICS
For all the degree programmes, elective in Mathematics consist of 2 to 4 courses to be selected as prescribed by the definition of electives in Section 3 and provided that pre-requisite courses are satisfied.