Notes

Here are my A-Level H3 Mathematics solutions for the years 2015-2025.

These notes were compiled from courses I have taken or audited at the National University of Singapore (NUS), as well as from my time as an exchange student at École Polytechnique Fédérale de Lausanne during Fall 2026.

► MA2002 Calculus
► MA2104 Multivariable Calculus
► MA2108 Mathematical Analysis I
► MA2116/ST2131 Probability
► MA2202 Algebra I
► DSA2102 Numerical Computation
► MA3201 Algebra II
► MA3209 Metric and Topological Spaces
► MA3211 Complex Analysis
► MA3220 Ordinary Differential Equations
► MA3238 Stochastic Processes I
► MA3264 Mathematical Modelling
► MA3265 Elementary Number Theory
► MA4203 Galois Theory
► MA4211 Functional Analysis
► MA4221 Partial Differential Equations
► MA4262 Measure and Integration
► MA4263 Analytic Number Theory
► MA4266 Introduction to Algebraic Topology
► MA4271 Differential Geometry of Curves and Surfaces
► MA4273 Algebraic Geometry of Curves and Surfaces
► MA5202 Algebraic Number Theory
► MA5204 Commutative and Homological Algebra
► MA5211 Lie Theory

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) — Assistant Professor Goh Jun Le
MA2002 Calculus — Dr. Wang Fei & Assistant Professor Bao Huanchen
Audited: MA2001 Linear Algebra I — Associate Professor Ng Kah Loon & Dr. Timothy Wertz
Audited: MA2101S Linear Algebra II (S) — Assistant Professor Arghya Sadhukhan
Audited: MA3201 Algebra II — Assistant Professor Finn Wiersig
Audited: MA3209 Metric and Topological Spaces — Assistant Professor Wei Daren
Audited: MA3264 Mathematical Modelling — Professor Brett McInnes
Audited: MA4221 Partial Differential Equations — Dr. Wang Yamin
Audited: MA4262 Measure and Integration — Assistant Professor Tran Chieu Minh
Audited: MA4266 Algebraic Topology — Associate Professor Chin Chee Whye
Audited: MA5217 Graduate Complex Analysis — Professor Dinh Tien Cuong
Year 1 Semester 2 (Spring '25)
MA2001 Linear Algebra I — Associate Professor Ng Kah Loon
MA2104 Multivariable Calculus — Professor Zhang Deqi
MA2108 Mathematical Analysis I — Associate Professor Chin Chee Whye
Audited: MA3211S Complex Analysis (S) — Associate Professor Chin Chee Whye
Audited: MA4203 Galois Theory — Assistant Professor Bao Huanchen
Audited: MA4211 Functional Analysis — Dr. Timothy Wertz
Audited: MA4273 Algebraic Geometry — Dr. Luo Yujie
Audited: MA5204 Commutative & Homological Algebra — Associate Professor David Hansen, Dr. Alex Youcis & Assistant Professor Emile Okada
Year 1 Special Term (Summer '25)
MA2288 Basic UROPS in Mathematics I — Associate Professor Yang Lei
Year 2 Semester 1 (Fall '25)
MA2101 Linear Algebra II — Professor Zhang Deqi
MA2116 Probability — Associate Professor Chin Chee Whye & Dr. Benoit Corsini
DSA2102 Numerical Computation — Dr. Timothy Wertz
MA3220 Ordinary Differential Equations — Dr. Edmund Sean Karasiewicz
MA3264 Mathematical Modelling — Professor Brett McInnes
Teaching assistant: MA2001 Linear Algebra I — Associate Professor Ng Kah Loon and Dr. Charmaine Sia. On top of my usual teaching duties, I wrote two articles for my students on Matrix Lie Groups and General Vector Spaces and Isomorphisms. Currently, I am preparing an article on applying what I have learnt from MA4273 Algebraic Geometry in recent months to more proficient students in the course.

Audited: MA4230 Matrix Computation — Assistant Professor Wang Yangshuai
Audited: MA4266 Introduction to Algebraic Topology — Assistant Professor Baris Kartal
Audited: MA5205 Graduate Analysis I — Assistant Professor Yu Hui
Audited: MA5253 Riemann Surfaces — Associate Professor Chin Chee Whye
Audited: MA5211 Lie Theory — Assistant Professor Emile Okada
Year 2 Semester 2 (Spring '26)
MA3211 Complex Analysis I — Professor To Wing Keung
MA4263 Analytic Number Theory — Assistant Professor Emile Okada. I wrote a short article on Dirichlet Character Tables.
MA4271 Differential Geometry — Professor Loke Hung Yean
Teaching assistant: MA2001 Linear Algebra I — Dr. Charmaine Sia and Dr. Akshay Hegde. On top of my usual teaching duties, I wrote an article for my students on Ideals and Varieties.
Audited: MA3211S Complex Analysis I (S) — Professor Dinh Tien Cuong
Audited: MA4233 Dynamical Systems — Assistant Professor Wei Daren
Audited: MA5206 Graduate Analysis II — Associate Professor Yao Yao
Audited: MA5209 Algebraic Topology — Assistant Professor Baris Kartal