MATLAB

Syllabus

• MATLAB basics: vectors, matrices, strings; fundamental operations; relational/logical operators; vectorized computing.
• Control flow: assignment, loops, conditions, and recursion.
• Writing scripts and functions (e.g., quadratic solver, factorial, determinant); modular program structure.
• Visualization: 1D/2D plotting and basic graphics.
• Solving linear systems: direct and iterative methods; LU/Cholesky; Jacobi and Gauss–Seidel; sparse systems; damped/relaxed methods.
• Eigenvalue problems: power method (intro).
• Numerical stability and conditioning; norms; ill-conditioned matrices (examples).
• Polynomial interpolation and Runge phenomenon; numerical quadrature (built-ins and custom implementations).