In an M.Sc. program in Mathematics, you typically study:

1. Advanced Algebra: Abstract algebra, linear algebra, and algebraic structures.
2. Real Analysis: Measure theory, Lebesgue integration, and functional analysis.
3. Complex Analysis: Analytic functions, Cauchy’s theorem, and conformal mappings.
4. Partial Differential Equations (PDEs): Theory and applications of PDEs.
5. Topology: General and algebraic topology.
6. Probability and Statistics: Advanced probability theory, statistical inference, and stochastic processes.
7. Numerical Analysis: Numerical methods and error analysis.

Specialized topics might include differential geometry, mathematical logic, combinatorics, applied mathematics, and mathematical finance. Programs also involve research and a thesis.