iBerry

detailed technical and historical exploration of the Apollo project to "fly humans to the moon and return them safely to earth", How the systems worked, the technical and social processes that produced them, mission operations, and historical significance: readings, related resources (Apollo Lunar Landing Audio/Video Clips)

basic knowledge of numerical methods (root-finding, elementary numerical linear algebra, solving systems of linear equations, curve fitting, numerical solution to ordinary differential equations): homework solutions, example programs, supplemental material

probability & statistics with emphasis on applications, events & probability, Bayes' theorem, random variables & vectors, distributions, Bernoulli trials & Poisson point processes, full-distribution uncertainty propagation, second-moment representation, propagation, conditional analysis, random sampling, estimation, hypothesis testing, linear regression

science basis for bioengineering with particular emphasis on molecular cell biology and systems biology: Video interviews of a selection of bioengineering faculty from various School of Engineering Departments at MIT

quantitative models and qualitative frameworks for studying complex engineering systems, abstracting a complex system into a model for purposes of analysis and design while dealing with complexity, emergent behavior, stochasticity, non-linearities and the requirements of many stakeholders with divergent objectives

root-finding, elementary numerical linear algebra, solving systems of linear equations, curve fitting, numerical quadrature and numerical solution to ordinary differential equations

review of linear algebra, applications to networks, structures, and estimation, Lagrange multipliers, 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 & applications

fundamental software development and computational methods for engineering, scientific and managerial applications, object-oriented software design and development, programming concepts, graphical user interfaces, numerical methods, data structures, sorting and searching, computer graphics, selected advanced topics

engineering problem solving: virtual laboratory (WWW-based engineering/science experiments for beginning science & engineering students), topics, projects, readable references

probability theory & statistics with applications to engineering problems primarily chosen from areas of communications, control, signal processing & computer engineering: syllabus, books, exams, slides