Advanced Numerical Analysis
Teaching Assistant · Spring 2019-20 · Lahore University of Management Sciences
Served as Teaching Assistant for this graduate-level course in numerical methods and analysis. The course develops rigorous mathematical foundations for numerical algorithms with a focus on accuracy, stability, and convergence.
Role: Teaching Assistant
Offered: Spring 2019–20
Topics Covered
- Floating point arithmetic and error analysis
- Root-finding methods (bisection, Newton-Raphson, secant)
- Numerical linear algebra (LU, QR, iterative solvers)
- Interpolation and polynomial approximation
- Numerical differentiation and integration (quadrature)
- Numerical solutions to ordinary differential equations
- Finite difference methods for PDEs