Modules

This is a collection of notes and questions from modules I am taking or interested in at the National University of Singapore. The notes are mainly for personal reference, but they may also be useful for revision. If you have any additional remarks, alternative approaches, or related questions that could supplement the material, please feel free to share them with me by email. Corrections and clarifications are also welcome.

• MA2116/ST2131 Probability (updated 17 Feb 2025)
• ST2132 Mathematical Statistics
• MA2104 Multivariable Calculus (updated 31 Jan 2025)
• MA2108 Mathematical Analysis I (updated 17 Apr 2025)
• MA2202 Algebra I (updated 4 Apr 2025)
• MA3201 Algebra II (updated 11 Jan 2025)
• MA3209 Metric and Topological Spaces (updated 11 Jan 2025)
• MA3210 Mathematical Analysis II (updated 1 Jun 2025)
• MA3211 and MA5217 Complex Analysis (updated 20 Feb 2025)
• MA3220 Ordinary Differential Equations (updated 1 Jun 2025)
• MA3238/ST3236 Stochastic Processes I
• MA3264 Mathematical Modelling (updated 11 Jan 2025)
• MA3265 Number Theory
• MA4203 Galois Theory (updated 13 Jan 2025)
• MA4211 Functional Analysis (updated 18 Mar 2025)
• MA4221 Partial Differential Equations
• MA4262 Measure and Integration (updated 19 Dec 2024)
• MA4263 Analytic Number Theory (updated 31 Aug 2025)
• MA4266 Algebraic Topology (updated 19 Dec 2024)
• MA4271 Differential Geometry of Curves and Surfaces (updated 3 Jun 2025)
• MA4273 Algebraic Geometry of Curves and Surfaces (updated 1 Jun 2025)
• MA5202 Algebraic Number Theory
• MA5204 Commutative and Homological Algebra (updated 14 Feb 2025)
• DSA2102 Numerical Computation (updated 18 Aug 2025)

Here is a list of modules that I either took or audited as a guest student.

Year 1 Semester 1 (Fall '24)

• MA1100T Basic Discrete Mathematics (T) by Assistant Professor Goh Jun Le
• MA2002 Calculus by Dr. Wang Fei and Assistant Professor Bao Huanchen
• Audited: MA2001 Linear Algebra I by Associate Professor Ng Kah Loon and Dr. Timothy Wertz
• Audited: MA2101S Linear Algebra II (S) by Assistant Professor Arghya Sadhukhan
• Audited: MA3201 Algebra II by Assistant Professor Finn Wiersig
• Audited: MA3209 Metric and Topological Spaces by Assistant Professor Wei Daren
• Audited: MA3264 Mathematical Modelling by Professor Brett Mcinnes
• Audited: MA4221 Partial Differential Equations by Dr. Wang Yamin
• Audited: MA4262 Measure and Integration by Assistant Professor Tran Chieu Minh
• Audited: MA4266 Algebraic Topology by Associate Professor Chin Chee Whye
• Audited: MA5217 Graduate Complex Analysis by Professor Dinh Tien Cuong

Year 1 Semester 2 (Spring '25)

• MA2001 Linear Algebra I by Associate Professor Ng Kah Loon
• MA2104 Multivariable Calculus by Professor Zhang Deqi
• MA2108 Mathematical Analysis I by Associate Professor Chin Chee Whye
• Audited: MA3211S Complex Analysis (S) by Associate Professor Chin Chee Whye
• Audited: MA4203 Galois Theory by Assistant Professor Bao Huanchen
• Audited: MA4211 Functional Analysis by Dr. Timothy Wertz
• Audited: MA4273 Algebraic Geometry of Curves and Surfaces by Dr. Luo Yujie
• Audited: MA5204 Commutative and Homological Algebra by Associate Professor David Hansen, Dr. Alex Youcis, and Assistant Professor Emile Okada

Year 1 Special Term (Summer '25)

• MA2288 MA2288 Basic UROPS in Mathematics I by Associate Professor Yang Lei

Year 2 Semester 1 (Fall '25)

• MA2101 Linear Algebra II by Professor Zhang Deqi
• MA2116 Probability by Associate Professor Chin Chee Whye and Dr. Benoit Corsini
• DSA2102 Numerical Computation by Dr. Timothy Wertz
• MA3220 Ordinary Differential Equations by Dr. Edmund Sean Karasiewicz
• MA3264 Mathematical Modelling by Professor Brett McInnes
• Audited: MA4230 Matrix Computation by Assistant Professor Wang Yangshuai
• Audited: MA4266 Introduction to Algebraic Topology by Assistant Professor Baris Kartal
• Audited: MA5205 Graduate Analysis I by Assistant Professor Yu Hui
• Audited: MA5253 Riemann Surfaces by Associate Professor Chin Chee Whye
• Audited: MA5211 Lie Theory by Assistant Professor Emile Okada

Year 2 Semester 2 (Spring '26)

• MA3211 Complex Analysis I by Professor To Wing Keung
• ST3131 Regression Analysis by ???
• MA4263 Introduction to Analytic Number Theory by Assistant Professor Emile Okada
• MA4271 Differential Geometry of Curves and Surfaces by Professor Loke Hung Yean
• Audited: MA3211S Complex Analysis I (S) by Professor Dinh Tien Cuong
• Audited: MA4233 Dynamical Systems by Assistant Professor Wei Daren
• Audited: MA5206 Graduate Analysis II by Associate Professor Yao Yao
• Audited: MA5209 Algebraic Topology by Assistant Professor Baris Kartal