Physics with Second Major in Mathematical Sciences Programme CurriculumFor CN Yang Scholars admitted in AY 2013/2014 onwards

AU RequirementCourse Type Actual AUCore Courses 97Major Prescribed Electives 54GER-Core 12GER-PE AHSS 3GER-PE BM 3GER-PE STS 4

33

Unrestricted Electives (UE) 4Total 183

Common Compulsory Courses in CN Yang Scholars ProgrammeYear 1

Course Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

CY1001 Introductory Biology 4 1 Will be transferred as UE/GER-PE STS at the end of Year 2 Sem 1

CY1101 Principles of Modern Chemistry 4 1 CBC113, CM1013 Will be transferred as UE/GER-PE STS at the end of Year 2 Sem 1

CY1400 C N Yang Scholars Programme Undergraduate Research Experience 3 2 Will be transferred as Core at the end of Year 2 Sem 1 to replace

PH1199

CY1201 Calculus of One Variable 4 1 Will be transferred as Core at the end of Year 2 Sem 1

CY1202 Calculus of Several Variables 4 2 CY1201 MAS182, MTH113, MTH211, MH1801, MH1101, MH2100 Will be transferred as Core at the end of Year 2 Sem 1

CY1305 Mechanics 3 1 H2 or A Level PhysicsPH1011, PH1012, PH1101, PAP111, PH1801, PAP181, PHYS1A, CY1301, PH1104

Will be transferred as Core at the end of Year 2 Sem 1 to replace PH1104

CY1306 Electricity and Magnetism 3 2 H2 or A Level Physics

PH1102, PAP112, PH1802, PAP182, PHYS1B, PH1011, PH1012, CY1302, EE1002, PH1106

Will be transferred as Core at the end of Year 2 Sem 1 to replace PH1106

CY1307 Relativity and Quantum Physics 3 2 H2 or A Level Physics PAP111, PH1101, PH1107 Will be transferred as Core at the end of Year 2 Sem 1 to replace PH1107

CY1304 Physics Lab 1 3 1 PAP118, PH1198 Will be transferred as Core at the end of Year 2 Sem 1 to replace PH1198

Year 2Course Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

CY1203 Linear Algebra and Differential Equations 4 1 CY1202 MTH114, MTH115, MAS183, MH1200, MH1201, MH2800 Will be transferred as Core at the end of Year 2 Sem 1

CY1308 Quantum Mechanics I 3 1 PH1107 or CY1307 and (MH1801 or CY1202) PAP211, PHYS1C, PH2101 Will be transferred as Core at the end of Year 2 Sem 1 to replace PH2101

Note: CY1201, CY1202, CY1203 will replace MH1100, MH1101, MH1200, MH1201, MH2100 in the Mathematical Sciences programme requirement

0178

AU9754

333

GER-PE LS 3GER-PE (any one from AHSS, BM, STS, LS) 3

12

GER Core Courses in Physics with Second Major in Mathematical Sciences ProgrammeYear 1

Course Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

HW0303 Mastering Communication 3 2 Exempted or Pass in QET or HW001 (co-requisite) HW111A Pass/Fail graded

Year 2Course Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

HW0203 Research Writing in the Physical and Mathematical Sciences 3 2 Exempted or Pass in QET or HW001 (co-requisite) HW102A

PS8001 Defence Science 3 2 Pass/Fail graded

Year 3Course Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

PS8006 Environmental Sustainability 3 TBC

Major Core Courses in Pure Physics ProgrammeCourse Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

PH1105 Optics, Vibrations and Waves 3 1 H2 or A Level Physics PH1103, PAP113

PH2102 Electromagnetism 4 2 PH1102, MH1801 PAP212

PH2103 Thermal Physics 4 1 PH1101, MH2800 PAP213

PH2198 Physics Lab Iia 2 1 PH1198 PAP218

PH2199 Physics Lab Iib 2 2 PH1199 PAP219

PH2201 Classical Mechanics 4 1 PH1101, MH2800 PAP231

PH3101 Quantum Mechanics II 4 1 PH2101, MH2801 PAP311

PH3199 Physics Lab IIIa 2 2 PH2198 PAP319

PH3201 Statistical Mechanics 4 2 PH2103 PAP321

Major Core Courses in Mathematical Sciences (Pure Mathematics) TrackCourse Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

MH1402 Algorithms and Computing II 2 2 MH1401

MH1300 Foundations of Mathematics 4 1 MTH111

MH1301 Discrete Mathematics 3 2 MTH116

MH2200 Groups and Symmetries 3 1 MH1200

MH2401 Algorithms and Computing III 2 1 MH1100, MH1101, MH1401, MH1402

MH2500 Probability and Introduction to Statistics 4 1 MH1100, MH1101 MTH214

MH3100 Real Analysis I 4 2 MH1100, MH1101 MTH311

MH3110 Ordinary Differential Equations 4 2 MH2100 MTH316

MH3101 Complex Analysis 4 1 MH1101, MH2100 MTH312

MH3600 Knots and Surfaces: Introduction to Topology 4 1 MH2100, MH2200

MH3200 Abstract Algebra I 3 2 MH1300, MH1201, MH2200 MTH321

Major Core Courses in Mathematical Sciences (Applied Mathematics) TrackCourse Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

MH1402 Algorithms and Computing II 2 2

MH1300 Foundations of Mathematics 4 1 MTH111

MH1301 Discrete Mathematics 3 2 MTH116

MH2200 Groups and Symmetries 3 1 MH1200

MH2401 Algorithms and Computing III 2 1 MH1100, MH1101, MH1401, MH1402

MH2500 Probability and Introduction to Statistics 4 1 MH1100, MH1101 MTH214

MH3100 Real Analysis I 4 2 MH1100, MH1101 MTH311

MH3110 Ordinary Differential Equations 4 2 MH2100 MTH316

MH3101 Complex Analysis 4 1 MH1101, MH2100 MTH312

MH3700 Numerical Analysis I 3 2 MH1100, MH1101 MTH317

MH3701 Basic Optimization 4 2 MH1201 MTH336

Major Core Courses in Mathematical Sciences (Statistics) TrackCourse Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

MH1402 Algorithms and Computing II 2 2

MH1300 Foundations of Mathematics 4 1 MTH111

MH1301 Discrete Mathematics 3 2 MTH116

MH2200 Groups and Symmetries 3 1 MH1200

MH2401 Algorithms and Computing III 2 1 MH1100, MH1101, MH1401, MH1402

MH2500 Probability and Introduction to Statistics 4 1 MH1100, MH1101 MTH214

MH3100 Real Analysis I 4 2 MH1100, MH1101 MTH311

MH3110 Ordinary Differential Equations 4 2 MH2100 MTH316

MH3500 Statistics 4 2 MH2500 MTH351

MH3510 Regression Analysis 4 1 MH2500, MH3500 MTH352

MH3511 Data Analysis With Computer 3 2 MH2500 MTH353

Major Core Courses in Mathematical Sciences (Business Analytics) TrackCourse Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

MH1402 Algorithms and Computing II 2 2

MH1300 Foundations of Mathematics 4 1 MTH111

MH1301 Discrete Mathematics 3 2 MTH116

MH2100 Calculus III 4 1 MH1101 MAS211, MAS212, MAS183, MH2800

MH2401 Algorithms and Computing III 2 1 MH1100, MH1101, MH1401, MH1402

MH2500 Probability and Introduction to Statistics 4 1 MH1100, MH1101 MTH214

MH3110 Ordinary Differential Equations 4 2 MH2100 MTH316

BE1401 Business Operations and Processes 4 1

BU8601 Fundamentals of Management 3 2

MH3400 Algorithms for the Real World 4 1 MH1400, MH1301, MH1201, MH2500

MH3500 Statistics 4 2 MH2500

MH3511 Data Analysis with Computer 3 2 MH2500

Major Prescribed Electives in Pure Physics Programme27 AU in total, including the following:17 AU (at least 10 AU at level 4 or higher) from List P1 and 10 AU from List P2

Course Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

List P1

PH2302 Introduction to Solids 3 1 PH1103 PAP232

PH3401 Atomic Physics 4 2 PH3101 PAP341

PH3402 Solid State Physics I 4 2 PH2101, PH2302 PAP342

PH3502 Chaotic Dynamical System 4 2 PH2201 PAP352

PH3501 Fluid Mechanics 4 1 PH2201 PAP353

PH4401 Quantum Mechanics III 4 2 PH3101 PAP441

PH4402 Solid State Physics II 4 1 PH3201, PH3402 PAP442

PH4403 Surfaces and Interfaces 4 1 PH3402 PAP443

PH4404 Nanoscale Physics 3 2 PH3101 PAP444

PH4405 Nuclear Physics 3 1 PH3101 PAP445

PH4501 Statistical Mechanics II 4 1 PH3201 PAP451

PH4502 Atmospheric Physics 4 2 PH2103, PH3501 PAP452

PH4503 Quantum Theory 4 2 MH2801, PH3101 PAP453

PH4505 Computational Physics 3 1 PH3101, PH3402 PAP455

PH4506 Electrodynamics 4 2 PH2102 PAP456

PH4507 Topics in Physics 3 1 or 2 Approval by the Division PAP457

PAP710 Concepts in Statistical Mechanics 4 2 Approval by the Division

PAP711 Graduate Solid State Physics 4 1 Approval by the Division

PAP715 Material Physics 3 1 Approval by the Division

PAP716 Classical Electrodynamics 4 2 Approval by the Division

PAP721 Nonlinear Dynamics 4 2 Approval by the Division

PAP731 Optical Spectroscopic Techniques 4 1 Approval by the Division

PAP738 Advanced Topics in Physics 4 2 Approval by the Division

PAP739 Advanced Topics in Applied Physics 4 2 Approval by the Division

List P2

PH4405 Final Year Project 10 1 & 2 12 AU of PAP 3xx courses PAP491, PAP493, PH4407 A grade of A- or better in the Honours Project (PH4405, 10 AU) is compulsory for the award of First Class Honours.

PH4407 Industrial Internship II 10 1 or 2PH1101, PH1102, PH1103, PH1198, PH1199, PH2101, PH2102, PH2103, PH2198, PH2199, PH3101 or by permission

PAP491, PAP492, PAP493 PH4405, PH4406

Major Prescribed Electives in Mathematical Sciences (Pure Mathematics) Track25 AU in total (at least 10 AU at level 4 or higher), including the following:Choose at least 3 of the following lists and at least 2 from each chosen list

Course Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

List P1

MH4100 Real Analysis II 4 2 MH2100, MH3100 MTH416

MH4600 Algebraic Topology 4 2 MH3200, MH4100 MTH412

MH4601 Differential Geometry 4 1 MH4100, MH4600 MTH413

MAS710 Continuous Methods 4 2 Approval by the Division

List P2

MH3210 Number Theory 4 1 MH1300 MTH322

MH4200 Abstract Algebra II 4 1 MH1201, MH3200 MTH422

MH4301 Set Theory and Logic 4 2 MH1300, MH1301 MTH424

MAS712 Algebraic Methods 4 1 Approval by the Division

CSC412 4

List P3

MH4310 Coding Theory 4 2 MH1201, MH1301 MTH426

MH4311 Cryptography 4 1 MH1301, MH3200 MTH427

MH4300 Combinatorics 4 2 MH1101, MH1201, MH1301 MTH431

MAS711 Discrete Methods 4 2 Approval by the Division

MAS714 Algorithms and Theory of Computing 4 2 Approval by the Division

Remaining AU can be from any MH3XX, MH4XX, MAS71X courses except MH4900 and MH4901

Note: The semester offering for each course may be adjusted from time to time, Semester S and T stand for Special Term I and II

Major Prescribed Electives in Mathematical Sciences (Applied Mathematics) Track25 AU in total (at least 10 AU at level 4 or higher), including the following:Choose at least 3 of the following lists and at least 2 from each chosen list

Course Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

List A1

MH4110 Partial Differential Equations 4 2 MH3100, MH3110 MTH416

MH4700 Numerical Analysis II 4 1 MH1200, MH2100, MH3110, MH3700 MTH417

MH4711 Mathematical Modeling in Imaging, Vision and Graphics 4 1 MH2100, MH3700, MH4110

MH4730 Mathematics in Biology and Medicine 4 2 MH2500

MAS710 Continuous Methods 4 2 Approval by the Division

MP4A07 Finite Element Method for Engineering Applications 3 2 MP4011

CSC414 Geometric Modelling 4 N/A

CSC417 Introductory Bioinformatics 4 N/A

EE4476 Image Processing 3 1

List A2

MH4310 Coding Theory 4 2 MH1201, MH1301 MTH426

MH4311 Cryptography 4 1 MH1301, MH3200 MTH427

MH4300 Combinatorics 4 2 MH1101, MH1201, MH1301 MTH431

MAS711 Discrete Methods 4 2 Approval by the Division

CSC422 Neural Networks 4

List A3

MH4701 Mathematical Programming 4 1 MH2100, MH3701 MTH436

MH4702 Probabilistic Methods in OR 4 1 MH2500, MH3701 MTH437

MH3310 Mathematical Foundations of Game Theory 4 2 MH2500 MAS371, HE302

MAS714 Algorithms and Theory of Computing 4 2 Approval by the Division

CSC202 Algorithms 4 1 CSC105, MAS111, MAS214

CSC401 Advanced Algorithms 4 1

Remaining AU can be from any MH3XX, MH4XX, MAS71X courses except MH4900 and MH4901

Note: The semester offering for each course may be adjusted from time to time, Semester S and T stand for Special Term I and II

Major Prescribed Electives in Mathematical Sciences (Statistics) Track25 AU in total (at least 10 AU at level 4 or higher), including the following:Choose at least 6 courses from the following lists, including at least 2 courses from list S1 and 2 courses from list S3

Course Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

List S1

MH3512 Stochastic Processes 4 1 MH2500 MTH354

MH4500 Time Series Analysis 4 2 MH2500, MH3500, MH3510 MTH451

MH4501 Multivariate Analysis 4 2 MH2500, MH3500, MH3510 MTH452

MAS713 Mathematical Statistics 4 1 Approval by the Division

List S2

MH4730 Mathematics in Biology and Medicine 4 2 MH2500

MH4510 Data Mining 4 1 MH2500, MH3500, MH3510, MH3511 MTH453

MH4511 Sampling & Survey 4 1 MH2500, MH3500 MTH454

MH4512 Clinical Trials 4 2 MH2500, MH3500, MH3510, MH3511 MTH455

MH4513 Survival Analysis 4 1 MH2500, MH3500, MH3510 MTH456

BA218 Mathematics of Finance 4 1 BA214, MR218

BA322 Actuarial Statistics 4 2 MAS315, MAS317 BA307

CSC417 Introductory Bioinformatics 4

HE322 Econometric Modeling & Forecasting 4 2 HE191/AB106, HE204A/HE204B

HE421 Advanced Econometrics 4 2 HE321

List S3

MH3701 Basic Optimization 4 2 MH1201 MTH336

MH3310 Mathematical Foundations of Game Theory 4 2 MH2500 MTH361, HE302

MH4701 Mathematical Programming 4 1 MH2100, MH3701 MTH436

MH4702 Probabilistic Methods in OR 4 1 MH2500, MH3701 MTH437

MH4320 Computational Economics 4 1 MH1301 MTH438

MAS714 Algorithms and Theory of Computing 4 2 Approval by the Division

Remaining AU can be from any MH3XX, MH4XX, MAS71X courses except MH4900 and MH4901

Note: The semester offering for each course may be adjusted from time to time, Semester S and T stand for Special Term I and II

Major Prescribed Electives in Mathematical Sciences (Business Analytics) Track25 AU in total (at least 10 AU at level 4 or higher), including the following:Choose at least 6 courses from the following lists, including at least 3 courses from list B1 and 2 courses from list B2

Course Code Course Title AU Sem Prerequisites Mutually Exclusive With Remark

List B1

MH3510 Regression Analysis 4 1 MH2500 and MH3500

MH4500 Time Series Analysis 4 2 MH2500, MH3500, MH3510 MTH451

MH4510 Data Mining 4 1 MH2500, MH3500, MH3510 and MH3511

MH4513 Survival Analysis 4 1 MH2500 & MH3500 & MH3510

CZ2007 Database Systems 3 1 CZ2001 or CE2001

CZ4041 Machine Learning 3

CZ4033 Advanced Data Management 4

CZ4034 Information Retrieval 3

List B2

AB0901 Principles of Economics: A Singapore Perspective 3 1

BC2401 Systems Analysis & Design 4 1

BC2402 Data Management & Business Intelligence 4 1

BC2403 Project & Vendor Management 4 1

BC2404 Financial Analysis & Reporting 4

BC2405 Decision Tools for Managers 4 1

BC3402 Information Systems in Financial Services 4 1 AB113 OR CSC101 OR AB1401 OR CZ1002 OR CE1002

List S3

MH3701 Basic Optimization 4 MH1301

MH3700 Numerical Analysis I 3 MH1200, MH1201 and MH2800

MH4320 Computational Economics 4 MH2500

MH4700 Numerical Analysis II 4 MH3700, MH3110 (MH4110 is useful but not essential)

MH3310 Mathematical Foundations of Game Theory 4 MH2500 HE302 / HE3002

MH4701 Mathematical Programming 4 MH2100, MH3701 MAS445 / MTH436

MH4702 Probabilistic Methods in OR 4 MH2500, MH3701

Remaining AU can be from any MH3XX, MH4XX, MAS71X, MAS72X and MAS74X coursescourses except MH4900 and MH4901

Note: The semester offering for each course may be adjusted from time to time, Semester S and T stand for Special Term I and II