MIT OpenCourseWare Courses

Finance, AI, and Human Behavior

Explore how MIT economist Andrew Lo discusses AI-assisted financial advising, the impact of finance on healthcare and climate, and the intersection of human behavior with financial markets.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Production Theory - Lecture 5

Explore the fundamentals of production theory, including production functions, short and long-run production, returns to scale, and productivity in this MIT microeconomics lecture.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Prapela Case Study - Day 1

Explore Prapela's business model and strategies in substance use disorder treatment through CEO-led analysis and discussion in this MIT ventures program session.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Translating Healthcare Research into Healthcare Entrepreneurship - Day 2

Discover how to bridge the gap between healthcare research and entrepreneurship, focusing on substance use disorder ventures and practical translation strategies.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

State Machines - Lecture 4

Explore state machine abstractions for modeling algorithms and learn to prove their properties using mathematical induction techniques.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Casework and Strong Induction - Lecture 3

Master advanced proof techniques including casework and strong induction to strengthen your mathematical reasoning skills in computer science applications.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Relations and Counting - Lecture 15

Explore relations, equivalence relations, and partial orders on sets, then dive into fundamental counting principles for computer science applications.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Connectivity and Trees - Lecture 13

Explore graph connectivity and tree structures through optimization problems like finding shortest and fastest routes in this MIT mathematics lecture.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Divisibility - Number Theory and Applications Through GCD and Extended Euclidean Algorithm - Lecture 8

Explore number theory fundamentals through divisibility, greatest common divisor (GCD), and the Extended Euclidean Algorithm in this MIT mathematics lecture.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Predicates, Sets, and Proofs - Lecture 1

Explore fundamental mathematical concepts including predicates, sets, and proof techniques essential for computer science applications and logical reasoning.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

More Counting Techniques - Pigeonhole Principle - Lecture 17

Explore advanced counting methods including the pigeonhole principle to tackle complex mathematical problems in computer science applications.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Probability - Lecture 18

Discover rigorous probability analysis for computer science through step-by-step methods, moving beyond intuition to mathematical foundations in this MIT mathematics lecture.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Large Deviations - Chebyshev and Chernoff Bound, Wrap Up - Lecture 24

Explore large deviation theory through Chebyshev and Chernoff bounds in this comprehensive mathematics lecture for computer science applications.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Graphs and Coloring - Lecture 11

Explore graph theory fundamentals and coloring techniques essential for computer science applications in scheduling, communications, and search engines.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Random Variables - Lecture 21

Explore probability mass functions and cumulative distribution functions as equivalent methods for expressing random variable distributions in mathematics for computer science.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video