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Maths (specialist)Open Courseware and Resources (specialist) Mathematics: body of knowledge centered on such concepts as quantity, structure, space and change and also the academic discipline that studies them (Wikipedia).Multivariable CalculusJava applets (Graphing along the x or yaxis, 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
The Mathematics of Computationmathematics for modeling and reasoning about problems in computer science, useful applications, proof methods to reason about recursive and iterative programs, data structures (graphs, trees, sets, functions and their asymptotic growth, combinatorics and probability, regular languages and finite automata)
Probabilistic Systems Analysis and Applied Probabilityformulation and solution in sample space, random variables, transform techniques, simple random processes and their probability distributions, Markov processes, limit theorems, and elements of statistical inference: Readings, Recitations, Tools, Related Resources
Mathematical Foundations of Computer Scienceformal mathematical concepts of computer science, elementary logic, set theory, relations, deduction, induction, algorithmic processes, graph theory, models of computation
Game Theorygame theory and strategic thinking, dominance, backward induction, Nash equilibrium, evolutionary stability, commitment, credibility, asymmetric information, adverse selection, signaling, examples drawn from economics, politics & movies
Geometry and Quantum Field Theorydesigned for mathematicians is rigorous introduction to perturbative quantum field theory using language of functional integrals, basics of classical field theory, free quantum theories & Feynman diagrams, goal to discuss using mathematical language basic notions and results of QFT necessary to for QFT and String Theory
Stochastic Evolution EquationsRandom variables in Banach spaces, Stochastic integration in Banach spaces, Stochastic evolution equations, basic techniques of probability theory in infinitedimensional spaces and their applications to stochastic partial differential equations, model a stochastic partial differential equation as an abstract stochastic evolution equation on a suitably chosen infinitedimensional state space and solve this equation using fixed point techniques and stochastic integration in infinite dimensions
Calculus with TheorySingle Variable Calculus, rigorous level, careful reasoning and understanding of proofs, assumes knowledge of elementary calculus
A Problem Course in Mathematical Logicdefinitions, statements of results, and problems, along with some explanations, examples, and hints
Calculus with Applicationsdifferential calculus in one and several dimensions: readings, study materials

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