Syllabus
Week 1 : Theory of initial value problems
Week 2 : Euler’s method
Week 3 : Taylor’s series methods
Week 4 : Runge-Kutta methods
Week 5 : Multistep methods
Week 6 : Multistep methods
Week 7-8 : Convergence and error analysis, stability
Week 9-10 : Higher order equations and systems of differential equations
Week 11 : Linear systems of equations: Pivoting and matrix algebra, Gauss elimination
Week 12 : Matrix factorization
Week 13 : Norms of vectors and matrices, Eigenvalues and eigenvectors
Week 14 : Iterative techniques