iBerry

surveys & reviews important elements of current computer technology: Hardware, Operating Systems, Co-operative Computing and Open Systems, Networking and Communications, Computer Graphics, Applications Software, Database Management Systems(DBMS), Programming and Software Engineering, Internet and World Wide Web

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

Fundamental Concepts of Mathematics (Definitions, Proofs, Sets, Functions, Relations), Discrete Structures (Modular Arithmetic, Graphs, State Machines, Counting), Discrete Probability Theory: readings, course download

Java applets (Graphing along the x or y-axis, Intoduction to Integration, Riemann Sums, Simpson's Rule, Integration, The Chain Rule, Visualizing Vector Fields for First Order Differential Equations, Graphing Parametric Curves, Graphing Polar Curves, Matrix Utility, Polynomial Interpolation, Divided Differences), calculus problems & solutions

current and potential applications of information technology in electronic commerce, document representation in form of XML, XSL, DTD's, knowledge discovery using metadata & data mining, data management as in digital libraries & electronic document management, trading including deliberative, spontaneous & auctions, security (public keys, PKI, digital signatures, etc)

how to start & run a company (slides - 8 lectures)

focuses on use of modern computational & math, linear systems as basic computational unit in scientific computing, methods for solving sets of nonlinear algebraic equations, ordinary differential equations, differential-algebraic (DAE) systems, probability in physical modeling, statistical analysis of data & parameter estimation, finite difference & finite element techniques for converting partial differential equations: syllabus, readings, tools