Prof. Anthony T. Patera
The textbook used for this course, written by Prof. Patera and several MIT colleagues, is available for download in the readings section. There are supplementary videos of the 2.086 Mobile Robot in the videos section.
This class introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation (interpolation, least squares and statistical regression), integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches. Examples are drawn from mechanical engineering disciplines, in particular from robotics, dynamics, and structural analysis.
OCW has published multiple versions of this subject.
Patera, Anthony. 2.086 Numerical Computation for Mechanical Engineers, Spring 2013. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mechanical-engineering/2-086-numerical-computation-for-mechanical-engineers-spring-2013 (Accessed). License: Creative Commons BY-NC-SA