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126 resources — showing top 120
MIT OCW
free
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Discrete Stochastic Processes
Prof. Robert Gallager
Discrete stochastic processes are essentially probabilistic systems that evolve in time via random changes occurring...
Mathematics
Science & Math
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Coursera
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Operational Research for Decision Optimization
Master Operational Research techniques to solve complex business problems, optimize resources, and make smarter...
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YouTube
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video
Videos links to Brady's Zeeman Lecture
Numberphile
These are longer videos about objects that Brady showcased in his Zeeman Medal Lecture
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University Of Canterbury Advanced Statistical Inference And Modelling Using R
R Programming
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Wikibooks
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Category Theory
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Pluralsight
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Interpreting Data Statistical Models
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MIT OCW
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Mathematical Methods for Engineers II
Prof. Gilbert Strang
This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include...
Engineering
Mathematics
Science & Math
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AI Integration & Platform Optimization in Advanced Fabric
This course delves into the integration of AI and machine learning with Microsoft Fabric, providing a complete...
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Rob Eastaway on Numberphile
Numberphile
Rob Eastaway: https://robeastaway.com
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University Of Canterbury Advanced Bayesian Statistics Using R
R Programming
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Commutative Ring Theory
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Pluralsight
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course
Solving Problems Numerical Methods
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MIT OCW
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Advanced Stochastic Processes
Prof. David Gamarnik
This class covers the analysis and modeling of stochastic processes. Topics include measure theoretic probability,...
Mathematics
Science & Math
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Coursera
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Differential Equations & Advanced Applications
Master the foundational principles of differential calculus and unlock analytical capabilities essential for data...
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Marcus Du Sautoy on Numberphile
Numberphile
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Ecole Polytechnique Federale De Lausanne Advanced Statistical Physics
Physics
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book
Complex Analysis
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Pluralsight
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Snowpro Advanced Data Engineer Performance Optimization Cert
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Introduction to Computational Molecular Biology
Ross Lippert
This course introduces the basic computational methods used to understand the cell on a molecular level. It covers...
Biological Engineering
Biology
Engineering
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Advanced DAX and Performance Optimization
This course focuses on advanced DAX (Data Analysis Expressions) concepts and performance optimization techniques...
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Mandelbrot Set - Numberphile
Numberphile
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Codesignal Advanced Probability
Math
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Convex Analysis
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Advanced Statistical Models Data Interpreting
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MIT OCW
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Relativistic Quantum Field Theory I
Prof. Hong Liu
This course is a one-term self-contained subject in quantum field theory. Concepts and basic techniques are...
Physics
Science & Math
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Coursera
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Performance Optimization and Scalability
This course focuses on performance optimization and scalability in application development. You'll learn key...
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Fields Medallists on Numberphile
Numberphile
Fields Medallists on Numberphile
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The University Of Texas At Austin Advanced Linear Algebra Foundations To Frontiers
Linear Algebra
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Differentiable Manifolds
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Monte Carlo Methods
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Convex Analysis and Optimization
Prof. Dimitri Bertsekas
This course will focus on fundamental subjects in convexity, duality, and convex optimization algorithms. The aim is...
Algorithms and Data Structures
Computer Science
Data Science, Analytics & Computer Technology
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Advanced Business Analytics: Excel Optimization & Simulation
This course equips learners with advanced skills in building and analyzing models using Excel to solve real-world...
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Sum of Three Cubes - Numberphile
Numberphile
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Wikibooks
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book
Differentiation and Integration in Several Real Variables
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Pluralsight
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Numerical Optimization Techniques
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MIT OCW
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Essential Numerical Methods
Prof. Ian H. Hutchinson
This half-semester course introduces computational methods for solving physical problems, especially in nuclear...
Engineering
Mathematics
Nuclear Engineering
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Coursera
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Modeling and Simulation with Simulink
As technology advances at an unprecedented pace, engineers are challenged to design complex systems with greater...
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Advanced Math
Professor Dave Explains
Calculus was a breeze, so you went through linear algebra. That was no sweat either, so now what? Well now we hit...
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MIT OCW
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Numerical Methods for Partial Differential Equations
Dr. Benjamin Seibold
This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution...
Algorithms and Data Structures
Computer Science
Data Science, Analytics & Computer Technology
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Coursera
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Innovate with ANSYS Simulation Tools
In this course, you'll unlock the power of ANSYS simulation tools through engaging hands-on exercises. You'll gain...
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James Maynard on Numberphile
Numberphile
Leading mathematician James Maynard has made recent breakthroughs in the study of Prime Numbers.
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Game Theory for Managers
Prof. David McAdams
This half-term course examines the choices that we make which affect others and the choices others make that affect...
Business & Management
Economics
Management
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Coursera
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Advanced Scheduling and Project Optimization in Primavera P6
Updated in May 2025.
This course now features Coursera Coach!
A smarter way to learn with interactive, real-time...
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Ron Graham on Numberphile
Numberphile
Videos featuring Ron Graham
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MIT OCW
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Geometric Disciplines and Architecture Skills: Reciprocal Methodologies
Brandon Clifford
This course is an intensive introduction to architectural design tools and process, and is taught through a series...
Architecture
Art, Design & Architecture
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Coursera
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离散优化建模高阶篇 Advanced Modeling for Discrete Optimization
优化问题是一种常见的决策问题，它在我们的社会中很常见。它的应用可以从数独问题的解决涵盖到婚礼的座次安排。同样的技术可以用于航班与机组成员的安排，钢铁生产的调节，和钢铁从矿区到港口的调度问题。在生产中，人力资源与生产材料的合理决策可以使...
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Graham's Number on Numberphile
Numberphile
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MIT OCW
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Graduate Topology Seminar: Kan Seminar
Prof. Haynes Miller
This is a literature seminar with a focus on classic papers in Algebraic Topology. It is named after the late MIT...
Mathematics
Science & Math
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Coursera
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Probabilistic Graphical Models 2: Inference
Probabilistic graphical models (PGMs) are a rich framework for encoding probability distributions over complex...
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YouTube
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video
-1/12
Numberphile
Numberphile videos about -1/12
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Category Theory for Scientists
Dr. David I. Spivak
The goal of this class is to prove that category theory is a powerful language for understanding and formalizing...
Mathematics
Science & Math
advanced
Coursera
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course
Introduction to Complex Analysis
This course provides an introduction to complex analysis which is the theory of complex functions of a complex...
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YouTube
free
video
John Conway on Numberphile
Numberphile
The legendary John Conway
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MIT OCW
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course
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Probability and Statistics in Engineering
Prof. Daniele Veneziano
This class covers quantitative analysis of uncertainty and risk for engineering applications. Fundamentals of...
Civil Engineering
Engineering
Mathematics
advanced
Coursera
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course
Games without Chance: Combinatorial Game Theory
This course will cover the mathematical theory and analysis of simple games without chance moves.
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YouTube
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James Grime on Numberphile
Numberphile
Just some of the Numberphile videos featuring Dr James Grime --- http://singingbanana.com/
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MIT OCW
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course
Projection Theory
Prof. Lawrence D Guth
The class studies projection theory, starting from the first questions and building up to recent developments....
Mathematics
Science & Math
advanced
MIT OCW
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course
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Mathematical Statistics
Dr. Peter Kempthorne
This course provides students with decision theory, estimation, confidence intervals, and hypothesis testing. It...
Economics
Mathematics
Science & Math
advanced
MIT OCW
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course
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Fundamentals of Probability
Prof. Yury Polyanskiy
This is a course on the fundamentals of probability geared towards first or second-year graduate students who are...
Mathematics
Science & Math
advanced
MIT OCW
free
course
Graph Theory and Additive Combinatorics
Prof. Yufei Zhao
This course examines classical and modern developments in graph theory and additive combinatorics, with a focus on...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Introduction to Stochastic Processes
Dr. Hao Wu
This course is an introduction to Markov chains, random walks, martingales, and Galton-Watsom tree. The course...
Mathematics
Science & Math
advanced
MIT OCW
free
course
Probabilistic Methods in Combinatorics
Prof. Yufei Zhao
This course is a graduate-level introduction to the probabilistic methods, a fundamental and powerful technique in...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Relativistic Quantum Field Theory III
Prof. Frank Wilczek
This is the third and last term of the quantum field theory sequence. The course is devoted to the standard model of...
Physics
Science & Math
advanced
MIT OCW
free
course
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Advanced Calculus for Engineers
Dr. Dionisios Margetis
This course analyzes the functions of a complex variable and the calculus of residues. It also covers subjects such...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Game Theory with Engineering Applications
Prof. Asuman Ozdaglar
This course is an introduction to the fundamentals of game theory and mechanism design. Motivations are drawn from...
Economics
Engineering
Mechanical Engineering
advanced
MIT OCW
free
course
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Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations
Prof. Rohan Abeyaratne
This course forms an introduction to a selection of mathematical topics that are not covered in traditional...
Engineering
Mathematics
Mechanical Engineering
advanced
MIT OCW
free
course
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Quantitative Reasoning & Statistical Methods for Planners I
Ezra Haber Glenn
This course develops logical, empirically based arguments using statistical techniques and analytic methods....
Mathematics
Science & Math
Social Sciences
advanced
MIT OCW
free
course
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Differential Analysis
Prof. Richard Melrose
This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Geometry of Manifolds
Prof. Denis Auroux
This is a second-semester graduate course on the geometry of manifolds. The main emphasis is on the geometry of...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Mathematical Methods in Nanophotonics
Prof. Steven G. Johnson
Find out what solid-state physics has brought to Electromagnetism in the last 20 years. This course surveys the...
Engineering
Mathematics
Mechanical Engineering
advanced
MIT OCW
free
course
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Advanced Partial Differential Equations with Applications
Prof. Rodolfo Rosales
The focus of the course is the concepts and techniques for solving the partial differential equations (PDE) that...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Integral Equations
Dr. Dionisios Margetis
This course emphasizes concepts and techniques for solving integral equations from an applied mathematics...
Mathematics
Physics
Science & Math
advanced
MIT OCW
free
course
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Nonlinear Dynamics and Chaos
Prof. Rodolfo Rosales
This graduate level course focuses on nonlinear dynamics with applications. It takes an intuitive approach with...
Mathematics
Science & Math
advanced
MIT OCW
free
course
Effective Field Theory
Prof. Iain Stewart
Effective field theory is a fundamental framework to describe physical systems with quantum field theory. Part I of...
Physics
Science & Math
advanced
MIT OCW
free
course
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Topics in Algebraic Number Theory
Prof. Kiran Kedlaya
This course is a first course in algebraic number theory. Topics to be covered include number fields, class numbers,...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Relativistic Quantum Field Theory II
Prof. Hong Liu
This course is the second course of the quantum field theory trimester sequence beginning with Relativistic Quantum...
Physics
Science & Math
advanced
MIT OCW
free
course
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Introduction to Lie Groups
Prof. Sigurdur Helgason
This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Game Theory
Prof. Mihai Manea
This course provides a rigorous treatment of non-cooperative solution concepts in game theory, including...
Economics
Social Sciences
advanced
MIT OCW
free
course
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Genomics and Computational Biology
Dr. George Church
This course will assess the relationships among sequence, structure, and function in complex biological networks as...
Biological Engineering
Biology
Biomedical Technologies
advanced
MIT OCW
free
course
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Theory of Probability
Prof. Scott Sheffield
This course covers topics such as sums of independent random variables, central limit phenomena, infinitely...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Non-Equilibrium Statistical Mechanics
Jianshu Cao
This course discusses the principles and methods of non-equilibrium statistical mechanics. Basic topics covered are...
Chemistry
Mathematics
Physics
advanced
MIT OCW
free
course
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Topics in Applied Mathematics: Waves and Imaging
Prof. Laurent Demanet
This class covers the mathematics of inverse problems involving waves, with examples taken from reflection...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Number Theory I
Andrew V. Sutherland
This is the first semester of a one-year graduate course in number theory covering standard topics in algebraic and...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Algebraic Topology I
Prof. Haynes Miller
This is a course on the singular homology of topological spaces. Topics include: Singular homology, CW complexes,...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Statistical Method in Economics
Prof. Anna Mikusheva
This course is divided into two sections, Part I and Part II. Part I, found here, provides an introduction to...
Economics
Mathematics
Science & Math
advanced
MIT OCW
free
course
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High-Dimensional Statistics
Prof. Philippe Rigollet
This course offers an introduction to the finite sample analysis of high- dimensional statistical methods. The goal...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Measure and Integration
Prof. Jeff Viaclovsky
This graduate-level course covers Lebesgue’s integration theory with applications to analysis, including an...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Algebraic Geometry
Prof. Roman Bezrukavnikov
This is the first semester of a two-semester sequence on Algebraic Geometry. The goal of the course is to introduce...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Computational Quantum Mechanics of Molecular and Extended Systems
Prof. Bernhardt Trout
The theoretical frameworks of Hartree-Fock theory and density functional theory are presented in this course as...
Chemical Engineering
Chemistry
Engineering
advanced
MIT OCW
free
course
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Numerical Methods for Partial Differential Equations (SMA 5212)
Prof. Boo Cheong Khoo
A presentation of the fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic,...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Commutative Algebra
Prof. Steven Kleiman
In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics
Prof. Igor Pak
This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Lie Groups and Lie Algebras I
Prof. Pavel Etingof
This course is the first half of the year-long introductory graduate sequence 18.745/18.755 on Lie groups and Lie...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Differential Analysis II: Partial Differential Equations and Fourier Analysis
Prof. Lawrence D Guth
In this course, we study elliptic Partial Differential Equations (PDEs) with variable coefficients building up to...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Numerical Marine Hydrodynamics (13.024)
Prof. Jerome Milgram
This course is an introduction to numerical methods: interpolation, differentiation, integration, and systems of...
Engineering
Mathematics
Mechanical Engineering
advanced
MIT OCW
free
course
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Statistical Physics in Biology
Prof. Mehran Kardar
Statistical Physics in Biology is a survey of problems at the interface of statistical physics and modern biology....
Biological Engineering
Biology
Engineering
advanced
MIT OCW
free
course
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Nonlinear Dynamics II: Continuum Systems
Prof. Jörn Dunkel
This course introduces the basic ideas for understanding the dynamics of continuum systems, by studying specific...
Mathematics
Physics
Science & Math
advanced
MIT OCW
free
course
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Lie Groups and Lie Algebras II
Prof. Pavel Etingof
This course is the second half of the year-long introductory graduate sequence Lie Groups and Lie Algebras I &...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Topics in Algebraic Combinatorics
Prof. Richard Stanley
The course consists of a sampling of topics from algebraic combinatorics. The topics include the matrix-tree theorem...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Algebraic Topology II
Prof. Haynes Miller
This is the second part of the two-course series on algebraic topology. Topics include basic homotopy theory,...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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The Polynomial Method
Prof. Lawrence D Guth
This course offers an introduction to the polynomial method as applied to solving problems in combinatorics in the...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Topics in Statistics: Nonparametrics and Robustness
Prof. Richard Dudley
This graduate-level course focuses on one-dimensional nonparametric statistics developed mainly from around 1945 and...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Noncommutative Algebra
Prof. Roman Bezrukavnikov
Noncommutative algebra studies algebraic phenomena involving multiplication for which commutativity law fails, such...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Number Theory II: Class Field Theory
Dr. Sam Raskin
This course is the continuation of 18.785 Number Theory I. It begins with an analysis of the quadratic case of Class...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Topics in Combinatorics: Analysis of Boolean Functions
Prof. Dor Minzer
In this course, we will mostly be studying Fourier analysis of Boolean functions, which is a useful tool in...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Representations of Lie Groups
Prof. Pavel Etingof
The goal of this course is to give an introduction to the representation theory of compact and non-compact Lie...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Combinatorial Theory: Hyperplane Arrangements
Prof. Richard Stanley
This is a graduate-level course in combinatorial theory. The content varies year to year, according to the...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Topics in Algebraic Geometry: Algebraic Surfaces
Prof. Abhinav Kumar
The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Simplicity Theory
Dr. Itay Ben-Yaacov
This is an advanced topics course in model theory whose main theme is simple theories. We treat simple theories in...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Topics in Geometry: Dirac Geometry
Prof. Marco Gualtieri
This is an introductory (i.e. first year graduate students are welcome and expected) course in generalized geometry,...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Topics in Several Complex Variables
Prof. Victor Guillemin
This course covers harmonic theory on complex manifolds, the Hodge decomposition theorem, the Hard Lefschetz...
Mathematics
Science & Math
advanced
MIT OCW
free
course
text only
Strong Interactions: Effective Field Theories of QCD
Prof. Iain Stewart
This is a course in the construction and application of effective field theories, which are the modern tool of...
Physics
Science & Math
advanced
MIT OCW
free
course
text only
Topics in Lie Theory: Tensor Categories
Prof. Pavel Etingof
This course will give a detailed introduction to the theory of tensor categories and review some of its connections...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Universal Random Structures in 2D
Prof. Scott Sheffield
This graduate-level course introduces students to some fundamental 2D random objects, explains how they are related...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Classical Mechanics: A Computational Approach
Prof. Gerald Sussman
We will study the fundamental principles of classical mechanics, with a modern emphasis on the qualitative structure...
Engineering
Physics
Science & Math
advanced
MIT OCW
free
course
text only
Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics
Prof. Pavel Etingof
Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many...
Mathematics
Science & Math
advanced
MIT OCW
free
course
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Topics in Computational and Systems Biology
Prof. Christopher Burge
This is a seminar based on research literature. Papers covered are selected to illustrate important problems and...
Biological Engineering
Biology
Engineering
advanced
MIT OCW
free
course
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Computational Models of Discourse
Prof. Regina Barzilay
This course is a graduate level introduction to automatic discourse processing. The emphasis will be on methods and...
AI
Computer Science
Data Science, Analytics & Computer Technology
advanced
MIT OCW
free
course
text only
Introduction to Numerical Simulation (SMA 5211)
Prof. Jacob White
6.336J is an introduction to computational techniques for the simulation of a large variety of engineering and...
Engineering
Systems Engineering
advanced
MIT OCW
free
course
text only
System Identification
Prof. Munther Dahleh
This course is offered to graduates and includes topics such as mathematical models of systems from observations of...
Engineering
Mathematics
Science & Math
advanced