18.085 | Fall 2008 | Graduate

Computational Science and Engineering I

Course Description

This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; …

This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace’s equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications.

Note: This course was previously called “Mathematical Methods for Engineers I.”

Learning Resource Types
Lecture Videos
Problem Sets with Solutions
Exams with Solutions
Course Introduction
Programming Assignments
A Simple Mesh Generator in MATLAB.
This image comes from “A Simple Mesh Generator in MATLAB” submitted to SIAM Review. The mesh was created using the truss model in Section 2.4 of the text; color shows distance to the boundary. (Image courtesy of Per-Olof Persson.)