Mathematics

• Mathematics (general)
• Open Courseware (OCW)
   
  • Mathematics (specialist OCW)

Mathematics - Open Courseware (OCW)

The Mathematics of Computation

mathematics 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 Probability

formulation 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 Theory

game 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 Theory

designed 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 Theory

Single Variable Calculus, rigorous level, careful reasoning and understanding of proofs, assumes knowledge of elementary calculus

A Problem Course in Mathematical Logic

definitions, statements of results, and problems, along with some explanations, examples, and hints

Calculus with Applications

differential calculus in one and several dimensions: readings, study materials

Online Statistics Education: An Interactive Multimedia Course of Study

resource 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 Algebra

study of groups, group actions, vector spaces, linear algebra and the theory of fields

Calculus Revisited

covers materials normally found in a freshman-level introductory calculus course: Sets, Functions, and Limits; Differentiation; The Circular Functions; The Definite Integral; Transcendental Functions; More Integration Techniques; Infinite Series; Study Materials