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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).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
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
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
Online Statistics Education: An Interactive Multimedia Course of Studyresource for introductory statistics, material presented in textbook format and vide, case studies, analysis lab: Graphing & Summarizing Distributions, Describing Bivariate Data,Probability, Research Design, Normal Distributions, Advanced Graphs, Sampling Distributions, Estimation, Hypothesis Testing, Testing Means, Power, Regression, ANOVA, Transformations, Chi Square, Effect Size, Calculators, Glossary
Abstract Algebrastudy of groups, group actions, vector spaces, linear algebra and the theory of fields
Calculus Revisitedcovers materials normally found in a freshmanlevel introductory calculus course: Sets, Functions, and Limits; Differentiation; The Circular Functions; The Definite Integral; Transcendental Functions; More Integration Techniques; Infinite Series; Study Materials

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