iBerry

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

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

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

surveys & reviews important elements of current computer technology, self-directed learning skills applied to effective use of several important engineering productivity tools: objectives, course outline, study guide, lab, discussion, multimedia, links

slides, labs: courses (electric & magnetic circuits, waves, fields & optics, discrete linear systems & applied IT, instrumentation & design, instrumentation lab, optical systems & materials, electric & magnetic circuits, computer tools, heat, kinetic theory & thermodynamics, mechanics, modern physics, electronics, electric & magnetic field theory)

slides, labs: courses (engineering, mechanics, probability & statistics, mechanics of materials, oral & written communication, engineering economics, calculus, mechanics, materials, economics, theory and practice of persuasion, engineering in society)

comprehensive treatment of the advanced methods of applied mathematics: series solutions of linear homogeneous ODE, WKB method, asymptotic expansion of integrals, boundary layer theory, small non-linear oscillations, course download