Physics with Second Major in Mathematical Sciences Programme Curriculum For CN Yang Scholars admitted in AY 2014/2015 onwards

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1 Physics with Second Major in Mathematical Sciences Programme Curriculum For CN Yang Scholars admitted in AY 2014/2015 onwards AU Requirement Type AU Core s 97 Major Prescribed Electives 54 GER-Core 12 GER-PE BM 3 GER-PE STS 3 GER-PE LA 3 GER-PE (any one from BM, STS, LA) 6 Unrestricted Electives (UE) 0 Total 178 Common Compulsory s in CN Yang Scholars Programme Year 1 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 CY1201 Calculus of One Variable 3 1 Will be transferred as Core at the end of Year 2 Sem 1 CY1202 Calculus of Several Variables 3 2 CY1201 CY1305 Mechanics 3 1 H2 or A Level Physics MAS182, MTH113, MTH211, MH1801, MH1101, MH2100 PH1011, PH1012, PH1101, PAP111, PH1801, PAP181, PHYS1A, CY1301, PH1104 Will be transferred as Core at the end of Year 2 Sem 1 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 CY1307 Relativity and Quantum Physics 3 2 H2 or A Level Physics PAP111, PH1101, PH1107 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 PH1106 Will be transferred as Core at the end of Year 2 Sem 1 to replace PH1107 Will be transferred as Core at the end of Year 2 Sem 1 to replace PH1199 CY1500 Introductory Research Methodology 3 2 Will be transferred as UE at the end of Year 2 Sem 1 Year 2 Title AU Sem Prerequisites Mutually Exclusive With Remark MTH114, MTH115, MAS183, CY1203 Linear Algebra and Differential Equations 3 1 CY1202 MH1200, MH1201, MH2800 Note: CY1201, CY1202, CY1203 will replace MH1100, MH1101, MH1200, MH1201, MH2100 in the Mathematical Sciences programme requirement Will be transferred as Core at the end of Year 2 Sem 1

2 GER Core s in Chemistry Programme Year 1 Title AU Sem Prerequisites Mutually Exclusive With Remark HW0138 Scientific Communication I 2 2 Exempted or Pass in QET or HW0001 (co-requisite) ML0001 Absolute Basics for Career 1 1 Pass/Fail graded Sustainability 1 2 Year 2 Title AU Sem Prerequisites Mutually Exclusive With Remark PS8001 Defence Science 3 2 Pass/Fail graded Ethnics & Academic 1 2 Year 3 Title AU Sem Prerequisites Mutually Exclusive With Remark ML0002 Career Power Up! 1 1 Enterprise & Innovative 1 2 HW0238 Scientific Communication II 2 2 HW0138 Major Core s in Pure Physics Programme 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

3 Major Core s in Mathematical Sciences (Pure Mathematics) Track 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 s in Mathematical Sciences (Applied Mathematics) Track 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 s in Mathematical Sciences (Statistics) Track 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

4 Major Core s in Mathematical Sciences (Business Analytics) Track 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 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 MAS211, MAS212, MAS183, MH2800

5 Major Prescribed Electives in Pure Physics Programme 27 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 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 2 PH1101, PH1102, PH1103, PH1198, PH1199, PH2101, PH2102, PH2103, PH2198, PH2199, PH3101 or by permission PAP491, PAP492, PAP493 PH4405, PH4406

6 Major Prescribed Electives in Mathematical Sciences (Pure Mathematics) Track 25 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 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) Track 25 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 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

7 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) Track 25 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 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

8 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) Track 25 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 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