MATH (Matric Yr 2019-2020)

BSc in Mathematical Sciences

Curriculum (Matriculation Year 2019 to 2020)


Curriculum Overview

Course TypeAU
MAS Core Courses45 AU
Core Courses for chosen track (Pure Mathematics / Applied Mathematics / Statistics)11 AU
Prescribed Electives for chosen track
These may include Final Year Project / Professional Internship. A grade of A- or better in Final Year Project is required to be eligible for Honours (Highest Distinction).
24 AU
GER Core Courses18 AU
GER Elective Courses15 AU
Unrestricted Electives21 AU
Total134 AU

 

  • To satisfy the major with a Concentration in the Mathematics of Information and Communication, in addition to the above major requirements, a student must pass four courses in the Mathematics of Information and Communication List.
  • To satisfy the major with a Concentration in Computational Mathematics, in addition to the above major requirements, a student must pass four courses in the Computational Mathematics List.

 

Year 1

MH1100 - Calculus I4 AUSem 1
MH1200 - Linear Algebra I4 AUSem 1
MH1300 - Foundations of Mathematics4 AUSem 1
PS0001 - Introduction to Computational Thinking3 AUSem 1
MH1101 - Calculus II4 AUSem 2
MH1201 - Linear Algebra II4 AUSem 2
MH1301 - Discrete Mathematics3 AUSem 2
MH1403 - Algorithms and Computing3 AUSem 2
HW0001 - Introduction to Academic Communication
For students who have not passed or been exempted from the Qualifying English Test (QET).
0 AU 
GER Prescribed Electives / Unrestricted Electivesas required 

Year 2

MH2100 - Calculus III4 AUSem 1
MH2200 - Groups and Symmetries3 AUSem 1
MH2500 - Probability and Introduction to Statistics4 AUSem 1
MH3100 - Real Analysis I4 AUSem 2
MH3110 - Ordinary Differential Equations4 AUSem 2
PS0002 - Introduction to Data Science and Artificial Intelligence3 AUSem 2
One Core Course from chosen track
(Pure Mathematics / Applied Mathematics / Statistics)
3–4 AU 
GER Prescribed Electives / Unrestricted Electives  

Year 3

MH3XXX - Two Core Courses from chosen track7–8 AU 
MH3XXX/4XXX - Prescribed Electives from chosen track  
GER Prescribed Electives / Unrestricted Electives  

Year 4

MH3XXX/4XXX - Prescribed Electives from chosen track  
GER Prescribed Electives / Unrestricted Electives  

Track In Pure Mathematics

Core Course for the Track

MH3101 - Complex Analysis4 AUSem 1
MH3600 - Topology and Manifolds4 AUSem 2
MH3200 - Abstract Algebra I3 AUSem 2

Prescribed Electives for the Track

Choose at least 3 lists, and read at least 2 courses from each chosen list (except for List P4, where only 1 course may be taken). At least 18 AU must be at level 4.

The courses MH491X, MH492X and MH493X can also count towards any of Lists P1–P3, subject to the approval of the division. The remaining AU of the total requirement of 24 AU for Prescribed Electives may be fulfilled through any MH3XXX, MH4XXX and MAS71X courses.

List P1
MH4100 - Real Analysis II4 AUSem 2
MH4600 - Algebraic Topology 4 AUSem 2
MH4601 - Differential Geometry4 AUSem 2
List P2
MH3210 - Number Theory4 AUSem 1
MH4200 - Abstract Algebra II 4 AUSem 1
MH4301 - Set Theory and Logic4 AUSem 2
List P3
MH4302 - Theory of Computing4 AUSem 1 or 2
MH4310 - Coding Theory4 AU2
MH4311 - Cryptography4 AU1
MH4300 - Combinatorics4 AU1
MAS711 - Discrete Methods4 AU1
MH3400 - Algorithms for the Real World4 AU2
List P4
MH4900 - Final Year Project 8 AU 
MH4912 - Professional Internship10 AU 

Track In Applied Mathematics

Core Course for the Track

MH3101 - Complex Analysis4 AUSem 1
MH3700 - Numerical Analysis I3 AUSem 2
MH3701 - Basic Optimization4 AUSem 2

Prescribed Electives for the Track

Choose at least 3 lists, and read at least 2 courses from each chosen list (except for List A5, where only 1 course may be taken). At least 18 AU must be at level 4.

The courses MH491X, MH492X and MH493X can count towards any of Lists A1–A5, subject to the approval of the division. The remaining AU of the total requirement of 24 AU for Prescribed Electives may be fulfilled through any MH3XXX, MH4XXX and MAS71X  courses.

List A1
MH4110 - Partial Differential Equations4 AUSem 2
MH4700 - Numerical Analysis II4 AUSem 1
EE4476 - Image Processing3 AU 
List A2
MH3300 - Graph Theory4 AUSem 1
MH4310 - Coding Theory4 AUSem 2
MH4311 - Cryptography4 AUSem 1
MAS711 - Discrete Methods4 AUSem 1
CZ4042 - Neural Networks3 AU 
List A3
MH4302 - Theory of Computing4 AUSem 1 or 2
MH4701 - Mathematical Programming4 AUSem 1
MH4702 - Probabilistic Methods in OR4 AUSem 1
MH4320 - Computational Economics4 AUSem 1
CZ2101 - Algorithm Design and Analysis3 AU 
MH3400 - Algorithms for the Real World4 AUSem 2
MH3512 - Stochastic Processes4 AUSem 1
MH4514 - Financial Mathematics4 AUSem 2
List A4
PH3501 - Fluid Mechanics (this course is no longer offered)4 AU 
PH3502 - Chaotic Dynamical Systems4 AUSem 1
PH4502 - Atmospheric Physics (this course is no longer offered)4 AU 
PH4503 - Quantum Theory (this course has been withdrawn)4 AU 
List A5
MH4900 - Final Year Project8 AU 
MH4912 - Professional Internship10 AU 

Track In Statistics

Core Course for the Track

MH3500 - Statistics4 AUSem 2
MH3510 - Regression Analysis4 AUSem 1
MH3511 - Data Analysis with Computer3 AUSem 2

Prescribed Electives for the Track

Choose at least 6 courses from the following lists (or 5 courses if List S3 is chosen). These must include at least 2 courses from List S1, and 2 courses from List S2. At least 18 AU must be at level 4.

The courses MH491X, MH492X and MH493X can count towards any of Lists S1–S3, subject to the approval of the division. The remaining AU of the total requirement of 24 AU for Prescribed Electives may be fulfilled through any MH3XXX, MH4XXX and MAS71X  courses.

List S1
MH3512 - Stochastic Processes4 AUSem 1
MH4500 - Time Series Analysis4 AUSem 2
MH4501 - Multivariate Analysis4 AUSem 2
List S2
MH4510 - Statistical Learning and Data Mining 4 AUSem 1
MH4511 - Sampling & Survey4 AUSem 1
MH4512 - Clinical Trials4 AUSem 2
MH4513 - Survival Analysis4 AUSem 1
BA2202 – Mathematics of Finance4 AUSem 1
BA3202 – Actuarial Statistics4 AUSem 1
HE3022 – Econometric Modeling and Forecasting3 AUSem 2
HE4021 – Advanced Econometrics3 AUSem 2
MH4514 - Financial Mathematics4 AUSem 2
MH3701 - Basic Optimization4 AUSem 2
MH4302 - Theory of Computing4 AUSem 1 or 2
MH4701 - Mathematical Programming4 AUSem 1
MH4702 - Probabilistic Methods in OR4 AUSem 1
MH4320 - Computational Economics4 AUSem 1
MH3400 - Algorithms for the Real World4 AUSem 2
List S3
MH4900 - Final Year Project8 AU 
MH4912 - Professional Internship10 AU 

Prescribed Electives Available to All Tracks

MH4910 - Undergraduate Research Experience in Mathematical Sciences I4 AUSem S
MH4911 - Undergraduate Research Experience in Mathematical Sciences II4 AUSem S
MH4930 - Special Topics in Mathematics4 AU 
MH4931 - Special Topics in Applied Mathematics4 AU 
MH4932 - Special Topics in Statistics4 AU 
MH4920 - Supervised Independent Study I4 AUSem 1 & 2
MH4921 - Supervised Independent Study II4 AUSem 1 & 2

Unrestricted Electives for MAS Students

These courses are offered specially to MAS students, to be read as Unrestricted Electives.

MH5000 - Mathematical Problem-Solving2 AUSem 1
MH5100 - Advanced Investigations in Calculus I 1 AUSem 1
MH5101 - Advanced Investigations in Calculus II1 AUSem 2
MH5200 - Advanced Investigations in Linear Algebra I1 AUSem 1
MH5201 - Advanced Investigations in Linear Algebra II1 AUSem 2
MH4907 - Professional Attachment6 AUSem S

Curriculum Overview

CoursesAU
Mathematical Sciences Core Courses38 AU
Core Courses for Business Analytics Track18 AU
Prescribed Electives for Business Analytics Track
These may include Final Year Project / Professional Internship. A grade of A- or better in Final Year Project is required to be eligible for Honours (Highest Distinction).
24 AU
GER Core Courses18 AU
GER Elective Courses15 AU
Unrestricted Electives21 AU
Total134 AU

 

  • To satisfy the major with a Concentration in the Mathematics of Information and Communication, in addition to the above major requirements, a student must pass four courses in the Mathematics of Information and Communication List.
  • To satisfy the major with a Concentration in Computational Mathematics, in addition to the above major requirements, a student must pass four courses in the Computational Mathematics List.

 

MAS Core Courses

MH1100 - Calculus I4 AUSem 1
MH1200 - Linear Algebra I4 AUSem 1
MH1300 - Foundations of Mathematics4 AUSem 1
MH1101 - Calculus II4 AUSem 2
MH1201 - Linear Algebra II4 AUSem 2
MH1301 - Discrete Mathematics3 AUSem 2
MH1403 - Algorithms & Computing3 AUSem 2
MH2100 - Calculus III4 AUSem 1
MH2500 - Probability and Introduction to Statistics4 AUSem 1
MH3110 - Ordinary Differential Equations4 AUSem 2

Core Courses For Business Analytics Track

MH3500 - Statistics4 AU
MH3511 - Data Analysis with Computer3 AU
MH3400 - Algorithms for the Real World4 AU
BE1401 - Business Operations and Processes4 AU
BU8601 - Fundamentals of Management3 AU

Prescribed Electives for Business Analytics Track

Choose either:

  • At least two courses from list B1, two courses from list B2, and one course from list B4; at least 14 AU must be MH4XXX/CZ4XXX; or
  • At least three courses from list B1, and two courses from list B2 (if list B4 is not chosen); at least 14 AU must be from MH4XXX/CZ4XXX courses.

The remainder of the 24 AU for Prescribed Electives may be fulfilled through any MH3XXX / MH4XXX / MAS71X / MAS72X / MAS74X courses.

List B1
MH3510 - Regression Analysis4 AU
MH4500 - Time Series Analysis4 AU
MH4501 - Multivariate Analysis4 AU
MH4510 - Statistical Learning and Data Mining4 AU
MH4513 - Survival Analysis4 AU
CZ2007 - Introduction to Databases3 AU
CZ4041 - Machine Learning3 AU
CZ4033 - Advanced Data Management3 AU
CZ4034 - Information Retrieval3 AU
List B2
BC2402 - Designing & Developing Databases4 AU
BT2403 - Services Operations Management4 AU
BC2410 - Prescriptive Analytics: From Data to Decision4 AU
BC3402 - Financial Service Processes and Analytics4 AU
List B3
MH3310 - Mathematical Foundations of Game Theory4 AU
MH3701 - Basic Optimization4 AU
MH3700 - Numerical Analysis I3 AU
MH4320 - Computational Economics4 AU
MH4700 - Numerical Analysis II4 AU
MH4701 - Mathematical Programming4 AU
MH4702 - Probabilistic Methods in OR4 AU
List B4
MH4900 - Final Year Project8 AU
MH4912 - Professional Internship 10 AU