Undergraduate subjects #
This is a list of undergraduate mathematics topics that I studied.
First year #
- Differential calculus
- Linear algebra
- Integral calculus
- Discrete mathematics
- Introductory statistics
Second year #
- Advanced linear algebra and vector calculus
- Real and complex analysis
- Algebra
- Number theory and cryptography
- Financial mathematics and optimization
- Mathematical computing and nonlinear systems
- Discrete mathematics and graph theory
- Statistics
Third year #
- Metric spaces
- Differential equations
- Fluid dynamics
- Modules and representation theory
- Differential geometry
- Measure theory and Fourier analysis
- Lagrangian and Hamiltonian dynamics
- Rings, fields and Galois theory
Honours #
- Functional analysis
- Commutative algebra
- Algebraic topology
- Topological groups