Maths & Computer Science, Exams

Computational Science and Engineering

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 with Engineering Applications

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

Mathematics for Computer Science

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

Multivariable Calculus

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

Computer Systems and Engineering Applications

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

IT for E-Commerce

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)

Numerical Methods Applied to Chemical Engineering

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

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