MIT OpenCourseWare Courses

Expectation and Linearity of Expectation - Lecture 22

Discover expectation of random variables and master linearity of expectation to simplify computing expected values in mathematics for computer science.

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

Graph Matching - Maximum Weight, Stable, and Bipartite Matching - Lecture 12

Explore graph matching theory including maximum weight matching, stable matching, and bipartite/non-bipartite graph algorithms in this MIT mathematics lecture.

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

Conditional Probability - Lecture 19

Explore conditional probability concepts and learn how set theory tools apply to probability calculations in this MIT mathematics lecture.

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

Asymptotics - Lecture 6

Explore asymptotic notation including Big-O, Little-o, Big-Ω, and Little-ω while applying sum evaluation techniques to solve a well-known physics problem.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Counting Techniques - Lecture 16

Master product rules and counting methods through practical card examples in this mathematics for computer science lecture.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Recurrences - Lecture 7

Master recurrence relations to model computational problems and discover closed-form solutions for analyzing algorithm running times in this MIT mathematics lecture.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Independence - Mutual, Pairwise, and Conditional Independence - Lecture 20

Explore mutual, pairwise, and conditional independence concepts in probability theory through mathematical foundations essential for computer science applications.

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

Modular Arithmetic - Lecture 9

Master modular arithmetic fundamentals including remainders, congruences, and practical applications like determining days of the week and even/odd calculations.

• YouTube
• 1 hour 20 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

Corpus Studies and Statistics in Computational Music Theory - Class 14

Explore advanced corpus analysis techniques in computational music theory, examining Bach and Haydn through statistical methods and music21 tools for distant listening.

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

Encoding Corpora and Voice Leading - Class 15

Explore computational approaches to encoding musical corpora and analyzing voice-leading patterns in this advanced music theory session.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Music Representation and Hierarchies in Computational Music Theory - Class 7

Explore advanced music representation techniques and hierarchical structures through computational analysis using music21 modules and scholarly readings.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Vocabulary Reduction - Key Analysis and Bach Chorales - Video 26a

Explore vocabulary reduction techniques, key analysis methods, and Bach chorales in computational music theory to prepare for advanced musical analysis problems.

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

Equivalence and Intervals I - Hierarchies IV - Class 10

Explore computational music theory through equivalence concepts, interval analysis, and hierarchical structures in musical data encoding and theme recognition.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video