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Algebraic Techniques and Semidefinite Optimization
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This research-oriented course will focus on algebraic and computational techniques for optimization problems involving polynomial equations and inequalities with particular emphasis on the connecti...
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Algebra I
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This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.
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Topics in Algebraic Combinatorics
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The course consists of a sampling of topics from algebraic combinatorics. The topics include the matrix-tree theorem and other applications of linear algebra, applications of commutative and exteri...
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Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations
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This course forms an introduction to a selection of mathematical topics that are not covered in traditional mechanical engineering curricula, such as differential geometry, integral geometry, discr...
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Calculus with Theory
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18.014, Calculus with Theory, covers the same material as 18.01 (Single Variable Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The...
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Random Matrix Theory and Its Applications
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This course is an introduction to the basics of random matrix theory, motivated by engineering and scientific applications.
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Street-Fighting Mathematics
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This course teaches the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive appr...
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Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Complex Variables, Differ...
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Calculus for Beginners and Artists
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This online textbook provides an overview of Calculus in clear, easy to understand language designed for the non-mathematician. Online Publication
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Differential Analysis II: Partial Differential Equations and Fourier Analysis
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In this course, we study elliptic Partial Differential Equations (PDEs) with variable coefficients building up to the minimal surface equation. Then we study Fourier and harmonic analysis, emphasi...
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STEM Concept Videos
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The STEM Concept Videos are designed to help students learn a pivotal concept in science, technology, engineering, and/or mathematics (STEM). These ideas are the building blocks of many engineering...
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Calculus of Several Variables
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This is a variation on 18.02 Multivariable Calculus. It covers the same topics as in 18.02, but with more focus on mathematical concepts. Acknowledgement Prof. McKernan would like to acknowledge t...
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Single Variable Calculus
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This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific discip...
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Commutative Algebra
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In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem, integral dependence, Noether normalization, the Nullstellensatz, localization,...
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Topics in Algebraic Topology: The Sullivan Conjecture
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The goal of this course is to describe some of the tools which enter into the proof of Sullivan's conjecture.
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Algebraic Combinatorics
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This is an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected, but assumes a familiarity with linear algebra and finite groups. Topics were chosen to sh...
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Blended Learning Open Source Science or Math Studies (BLOSSOMS)
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BLOSSOMS stands for Blended Learning Science or Math Studies. It is a project sponsored by MIT LINC (Learning International Networks Consortium) a consortium of educators from around the world who ...
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Fourier Analysis
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This course continues the content covered in 18.100 Analysis I . Roughly half of the subject is devoted to the theory of the Lebesgue integral with applications to probability, and the other h...
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Advanced Calculus for Engineers
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This course analyzes the functions of a complex variable and the calculus of residues. It also covers subjects such as ordinary differential equations, partial differential equations, Bessel and Le...
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Introduction to Partial Differential Equations
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This course provides a solid introduction to Partial Differential Equations for advanced undergraduate students. The focus is on linear second order uniformly elliptic and parabolic equations.
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Calculus Revisited: Multivariable Calculus
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Multivariable Calculus i...
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Highlights of Calculus
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Highlights of Calculus is a series of short videos that introduces the basics of calculus—how it works and why it is important. The intended audience is high school students, college students, or a...
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Topics in Algebraic Number Theory
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This course provides an introduction to algebraic number theory. Topics covered include dedekind domains, unique factorization of prime ideals, number fields, splitting of primes, class group, latt...
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Functions of a Complex Variable
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This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I (18.100B) is a prerequisite, topological notions like com...
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Applied Geometric Algebra
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László Tisza was Professor of Physics Emeritus at MIT , where he began teaching in 1941. This online publication is a reproduction the original lecture notes for the course "Applied Geometric Alge...
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Algebraic Topology II
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In this second term of Algebraic Topology, the topics covered include fibrations, homotopy groups, the Hurewicz theorem, vector bundles, characteristic classes, cobordism, and possible further topi...
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Single Variable Calculus
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This introductory calculus course covers differentiation and integration of functions of one variable, with applications.
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Linear Algebra
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This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigen...
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Calculus Revisited: Multivariable Calculus
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Multivariable Calculus i...
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Linear Algebra
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This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, qua...
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Analysis II
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This course continues from Analysis I (18.100B), in the direction of manifolds and global analysis. The first half of the course covers multivariable calculus. The rest of the course covers the the...
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Algebra II
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This undergraduate level course follows Algebra I. Topics include group representations, rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field ...
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Measure and Integration
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This graduate-level course covers Lebesgue's integration theory with applications to analysis, including an introduction to convolution and the Fourier transform.
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STEM Concept Videos
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The STEM Concept Videos are designed to help students learn a pivotal concept in science, technology, engineering, and/or mathematics (STEM). These ideas are the building blocks of many engineering...
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Ancient Greek Philosophy and Mathematics
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This course explores the relationship between ancient Greek philosophy and mathematics. We investigate how ideas of definition, reason, argument and proof, rationality / irrationality, number, qual...
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Matrix Algebra
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Learn and develop understanding for solving mathematical problems on Matrix Algebra in few steps
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Prepare for the GED Math Test
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Master the skills required to pass the Mathematical Reasoning module in the GED test series. You'll start off with a review of math basics and begin building the foundation you'll need to solve the...
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Medical Math
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Master medical calculations in an engaging environment! In these fun and practical lessons, you'll gain the medical math skills you need for anything from calculating dosages to using scientific fo...
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Math Refresher
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Math isn't about plugging numbers into formulas. It's about knowing enough to make the numbers and formulas work for you. Math can be incredibly useful - but only if you understand how and when to ...
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Teaching Math: Grades 4-6
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Reinvent math instruction for grades 4-6 by bringing hands-on learning, inexpensive manipulatives, and real-world connections into your classroom. Whether you're a new teacher or a seasoned pro, th...
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Singapore Math Strategies: Model Drawing for Grades 1-6
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In this professional development course for teachers, you'll get the training you need to start teaching model drawing, the powerful Singapore Math strategy that gives word problems a visual contex...
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Singapore Math: Number Sense and Computational Strategies
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Do your students cringe when it's time to pull out their math books? For many students, basic math is a struggle. But for students and teachers in Singapore, math is much more intuitive. And Singap...
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Introduction to Algebra
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This math course with its unique and thought-provoking style integrates mathematics, specifically algebra with many other areas of study, including history, biology, and geography. You will develop...
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Singapore Math Strategies: Advanced Model Drawing for Grades 6-9
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When you say, "It's time for math," do your students roll their eyes? What teacher hasn't dealt with that? It doesn't have to be that way. In this course, you'll master model drawing, a revolutiona...
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Calculus 1C: Coordinate Systems & Infinite Series
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How did Newton describe the orbits of the planets? To do this, he created calculus. But he used a different coordinate system more appropriate for planetary motion. We will learn to shi...
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Up and Running with Mathematica 9
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Mathematica is a computational platform with the power and flexibility you need to analyze data and make good decisions for your company. Similar to a programming language, it provides a complete e...
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Poetry in America: The Civil War and Its Aftermath
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This module, the fifth installment of the multi-part Poetry in America series, explores the Poetry of the Civil War and its Aftermath. We will: Encounter such poets as Herman M...
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TBA
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Coding the Matrix: Linear Algebra through Computer Science Applications
17 Reviews
Learn the concepts and methods of linear algebra, and how to use them to think about computational problems arising in computer science. Coursework includes building on the concepts to write small...
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TBA
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Steven Frank
4 years, 1 month ago
This innovative, challenging and rewarding course approaches a traditional linear-algebra curriculum from a computational perspective. Stud...
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Discovery Precalculus: A Creative and Connected Approach
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In this interactive pre-Calculus course, you will deepen and extend your knowledge of functions, graphs, and equations from high school algebra and geometry courses so you can successfully work wit...
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Become a Calculus 2 Master
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Learn everything from Calculus 2, then test your knowledge on 355+ quiz questions
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