1) Real Analysis
2) Complex Analysis
3) Functional Analysis : Hilbert Space Theory, Banach Space Theory
4) Approximation Theory
5) Applied Linear Algebra
6) Computer Aided Geometric Designs
7) Spectral Approximation
8) Spline Theory and Variational Methods
9) Numerical Methods
10) Mathematics I (Calculus)
11) Mathematics II (Calculus and Linear Algebra)
12) Introduction to Numerical Analysis