Graph Theory Courses

Effective Field Theory

Build effective field theories in quantum field theory: integrate out the W, Z, Higgs and top, chiral perturbation theory, HQET, and Soft-Collinear Effective Theory.

• MITx Online
• 18 weeks, 10-14 hours/week
• Self-Paced
• Free Online Course

Microeconomic Theory and Public Policy

Learn microeconomic theory and its empirical testing: consumer choice, demand functions, general equilibrium, comparative advantage, externalities, risk and signaling, applied to policy debates like the minimum wage.

• MITx Online
• 14 weeks, 10-14 hours/week
• Self-Paced
• Free Online Course

Theory of Computation, Fall 2020

Explore how computation can be modeled, what problems machines can solve, and how computational resources limit efficient problem solving.

• YouTube
• 1 day 8 hours
• Self-Paced
• Free Video

Effective Field Theory

Effective field theory is a fundamental framework to describe physical systems with quantum field theory.

• MIT OpenCourseWare
• 36 hours
• Self-Paced
• Free Video

Finance Theory I

This course introduces the core theory of modern financial economics and financial management, with a focus on capital markets and investments.

• MIT OpenCourseWare
• 25 hours
• Self-Paced
• Free Video

Relativistic Quantum Field Theory I

Build quantum field theory from classical fields: quantize scalar, Dirac and Maxwell fields, use path integrals and Feynman diagrams, compute QED cross sections and renormalization.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Intermediate Microeconomic Theory

Study consumer choice, income and substitution effects, production and profit maximization, general equilibrium, welfare theorems, risk-sharing, mechanism design, and bubbles.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Poker Theory and Analytics

Study poker theory and analytics: basic strategy, preflop analysis, tournament play, poker economics, and game theory applied to investment management and trading.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Theory of Computation

Study computability and complexity: finite automata, regular and context-free languages, Turing machines, undecidability, NP-completeness, space complexity, hierarchy theorems, probabilistic computation, and interactive proof systems.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Autism Theory and Technology

Pairs current theories of autism with emerging technologies, and requires students to meet and interact directly with people on the autism spectrum.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Economic Applications of Game Theory

Introduces mathematical tools for analyzing strategic interaction through Nash equilibria, repeated and Bayesian games, bargaining, signaling, collusion, and auctions.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Computational Music Theory and Analysis

Explores computational approaches to symbolic music theory and musicology, using Python and music21 for representation, analysis, search, and generation.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Projection Theory

A graduate-level survey of projection theory, its Fourier and combinatorial methods, and applications to number theory and homogeneous dynamics.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Getting Started With Music Theory

762 ratings at Coursera

Learn to read and write music in treble and bass clef: pitch, rhythm, meter signatures, major and minor keys, triads, seventh chords, and basic harmony.

• Coursera
• 4 weeks, 3 hours a week
• Self-Paced
• Paid Course

Number Theory and Cryptography

610 ratings at Coursera

From "useless" pure math to secure payments: use modular arithmetic, Euclid's algorithm and integer factorization to build RSA and break carelessly implemented versions.

• Coursera
• 4 weeks, 4 hours a week
• Self-Paced
• Paid Course