Course Objectives
This course is intended to give second year engineering students a foundation in the theory and methods for numerical approximation of solutions in linear algebra and differential equations relevant to their fields. Topics include solutions of linear systems of equations via LU decomposition, least squares solutions via QR decomposition, adjacency matrices and vibration of complex spring systems as well as first order approximation of truss system stability, discretization of functions and numerical approximations to differential equations, and the discrete and fast Fourier transforms.
Course Content
Introduction. Vector differential and integral calculus. Matrices. Determinant. Systems of linear equations. Characteristic values and characteristic vectors of matrices. Introduction to numerical methods.
- Instructor: georgy kitavtsev