Curriculum for MAT 3110

Sheet with formulas that will be given at the exam can be downloaded from this link. And here is the exam-relevant curriculum for this course: 

• SM 1.1-1.4 iterative methods for scalar problems
•  SM 2.1-2.7 and 2.9 solutions of linear systems of equations
•  SM 3.2-3.3 efficient solution methods for matrices with structure
•  SM 4.1-4.3 iterative methods for nonlinear systems of equations
• Lecture notes on numerical methods for eigenvalues and eigenvectors (excluding QR iteration)
• SM 6.2-6.5 Lagrange and Hermite interpolation
• SM 7.2-7.7 Newton-Cotes methods for numerical integration and extrapolation methods
• SM 8.2-8.5 Polynomial approximations in the infinity-norm
• SM 9.2-9.4 Polynomial approximations in the 2-norm
• SM 10.2 and 10.4-10.5 Gauss quadrature for numerical integration
• SM 11.2 and 11.4 Linear splines and natural cubic splines
• SM 12.1-12.3 and 12.5 and note on Runge--Kutta methods and A-Stability for initial value problems.
• The text The Monte Carlo method in a Nutshell by Fjordhold, Risebro and Hoel.