- 12.006J / 18.353J Nonlinear Dynamics I: Chaos, Fall 2005

This course provides an introduction to the theory and phenomenology of nonlinear dynamics and chaos

- 6.042J / 18.062J Mathematics for Computer Science, Fall 2005

This is an introductory course in Discrete Mathematics oriented toward Computer Science and Engineer

- 6.042J / 18.062J Mathematics for Computer Science (SMA 5512), Fall 2002

This is an introductory course in Discrete Mathematics oriented toward Computer Science and Engineer

- 6.042J / 18.062J Mathematics for Computer Science, Spring 2005

This course is offered to undergraduates and is an elementary discrete mathematics course oriented t

- 6.045J / 18.400J Automata, Computability, and Complexity, Spring 2005

This course is offered to undergraduates and introduces basic mathematical models of computation and

- 6.046J / 18.410J Introduction to Algorithms (SMA 5503), Fall 2005

This course teaches techniques for the design and analysis of efficient algorithms, emphasizing meth

- 6.852J / 18.437J Distributed Algorithms, Fall 2005

This course intends to provide a rigorous introduction to the most important research results in the

- 6.854J / 18.415J Advanced Algorithms, Fall 2005

This course is a first-year graduate course in algorithms. Emphasis is placed on fundamental algorit

- 6.854J / 18.415J Advanced Algorithms, Fall 2001

This is a graduate course on the design and analysis of algorithms, covering several advanced topics

- 6.856J / 18.416J Randomized Algorithms, Fall 2002

This course examines how randomization can be used to make algorithms simpler and more efficient via

- 6.876J / 18.426J Advanced Topics in Cryptography, Spring 2003

The topics covered in this course include interactive proofs, zero-knowledge proofs, zero-knowledge

- 18.013A Calculus with Applications, Spring 2005

This is an undergraduate course on differential calculus in one and several dimensions. It is intend

- 18.014 Calculus with Theory I, Fall 2002

18.014, Calculus with Theory, covers the same material as 18.01 (Calculus), but at a deeper and more

- 18.01 Single Variable Calculus, Fall 2005

This introductory calculus course covers differentiation and integration of functions of one variabl

- 18.022 Calculus, Fall 2005

This is an undergraduate course on calculus of several variables. It covers all of the topics covere

- 18.024 Calculus with Theory II, Spring 2003

This course is a continuation of 18.014. It covers the same material as 18.02 (Calculus), but a

- 18.02 Multivariable Calculus, Spring 2006

This course covers vector and multi-variable calculus. It is the second semester in the freshman cal

- 18.034 Honors Differential Equations, Spring 2004

This course covers the same material as 18.03 with more emphasis on theory. Topics include first ord

- 18.03 Differential Equations, Spring 2006

Differential Equations are the language in which the laws of nature are expressed. Understanding pro

- 18.04 Complex Variables with Applications, Fall 1999

The following topics are covered in the course: complex algebra and functions; analyticity; contour

- 18.04 Complex Variables with Applications, Fall 2003

This course explored topics such as complex algebra and functions, analyticity, contour integration,

- 18.05 Introduction to Probability and Statistics, Spring 2005

This course provides an elementary introduction to probability and statistics with applications. Top

- 18.06CI Linear Algebra - Communications Intensive, Spring 2004

This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the

- 18.06 Linear Algebra, Spring 2005

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will b

- 18.075 Advanced Calculus for Engineers, Fall 2004

This course analyzes the functions of a complex variable and the calculus of residues. It also cover

- 18.085 Mathematical Methods for Engineers I, Fall 2005

This course provides a review of linear algebra, including applications to networks, structures, and

- 18.086 Mathematical Methods for Engineers II, Spring 2006

This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topic

- 18.091 Mathematical Exposition, Spring 2005

This course provides techniques of effective presentation of mathematical material. Each section of

- 18.100B Analysis I, Fall 2002

Analysis I covers fundamentals of mathematical analysis: convergence of sequences and series, contin

- 18.100C Analysis I, Spring 2006

This course is meant as a first introduction to rigorous mathematics; understanding and writing of p

- 18.101 Analysis II, Fall 2005

This course continues from Analysis I (18.100B), in the direction of manifolds and global analysis.

- 18.103 Fourier Analysis - Theory and Applications, Spring 2004

18.103 picks up where 18.100B (Analysis I) left off. Topics covered include the theory of

- 18.112 Functions of a Complex Variable, Fall 2005

This is an advanced undergraduate course dealing with calculus in one complex variable with geometri

- 18.117 Topics in Several Complex Variables, Spring 2005

This course covers harmonic theory on complex manifolds, the Hodge decomposition theorem, the Hard L

- 18.125 Measure and Integration, Fall 2003

This graduate-level course covers Lebesgue\'s integration theory with applications to analysis, incl

- 18.152 Introduction to Partial Differential Equations, Fall 2004

This course analyzes initial and boundary value problems for ordinary differential equations and the

- 18.152 Introduction to Partial Differential Equations, Fall 2005

This course provides a solid introduction to Partial Differential Equations for advanced undergradua

- 18.155 Differential Analysis, Fall 2004

This is the first semester of a two-semester sequence on Differential Analysis. Topics include funda

- 18.156 Differential Analysis, Spring 2004

The main goal of this course is to give the students a solid foundation in the theory of elliptic an

- 18.175 Theory of Probability, Spring 2005

This course covers the laws of large numbers and central limit theorems for sums of independent rand

- 18.238 Geometry and Quantum Field Theory, Fall 2002

Geometry and Quantum Field Theory, designed for mathematicians, is a rigorous introduction to p

- 18.303 Linear Partial Differential Equations, Fall 2005

This course covers the classical partial differential equations of applied mathematics: diffusion, L

- 18.305 Advanced Analytic Methods in Science and Engineering, Fall 2004

Advanced Analytic Methods in Science and Engineering is a comprehensive treatment of the advanced me

- 18.306 Advanced Partial Differential Equations with Applications, Spring 2004

This course presents the concepts and techniques for solving partial differential equations (pde), w

- 18.307 Integral Equations, Spring 2006

This course emphasizes concepts and techniques for solving integral equations from an applied mathem

- 18.310 Principles of Applied Mathematics, Fall 2004

Principles of Applied Mathematics is a study of illustrative topics in discrete applied mathematics

- 18.311 Principles of Applied Mathematics, Spring 2006

This course introduces fundamental concepts in \"continuous\'\' applied mathematics, with an emphasi

- 18.312 Algebraic Combinatorics, Spring 2005

This course analyzes the applications of algebra to combinatorics and conversely. The topics discuss

- 18.314 Combinatorial Analysis, Fall 2005

This course analyzes combinatorial problems and methods for their solution. Prior experience with ab

- 18.315 Combinatorial Theory: Hyperplane Arrangements, Fall 2004

This is a graduate-level course in combinatorial theory. The content varies year to year, accor

- 18.315 Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics, Spring 2005

This course serves as an introduction to major topics of modern enumerative and algebraic combinator

- 18.318 Topics in Algebraic Combinatorics, Spring 2006

The course consists of a sampling of topics from algebraic combinatorics. The topics include the mat

- 18.319 Geometric Combinatorics, Fall 2005

This course offers an introduction to discrete and computational geometry. Emphasis is placed on tea

- 18.325 Topics in Applied Mathematics: Mathematical Methods in Nanophotonics, Fall 2005

This course covers algebraic approaches to electromagnetism and nano-photonics. Topics include photo

- 18.327 / 1.130 Wavelets, Filter Banks and Applications, Spring 2003

Wavelets are localized basis functions, good for representing short-time events. The coefficients at

- 18.330 Introduction to Numerical Analysis, Spring 2004

This course analyzed the basic techniques for the efficient numerical solution of problems in scienc

- 18.335J Introduction to Numerical Methods, Fall 2004

The focus of this course is on numerical linear algebra and numerical methods for solving ordinary d

- 18.335J / 6.337J Numerical Methods of Applied Mathematics I, Fall 2001

IEEE-standard, iterative and direct linear system solution methods, eigendecomposition and model-ord

- 18.336 Numerical Methods of Applied Mathematics II, Spring 2005

This graduate-level course is an advanced introduction to applications and theory of numerical metho

- 18.337J / 6.338J Applied Parallel Computing (SMA 5505), Spring 2005

Applied Parallel Computing is an advanced interdisciplinary introduction to applied parallel computi

- 18.338J / 16.394J Infinite Random Matrix Theory, Fall 2004

In this course on the mathematics of infinite random matrices, students will learn about the tools s

- 18.366 Random Walks and Diffusion, Spring 2005

This graduate-level subject explores various mathematical aspects of (discrete) random walks and (co

- 18.404J / 6.840J Theory of Computation, Fall 2002

A more extensive and theoretical treatment of the material in 18.400J, Automata, Computability, and

- 18.405J / 6.841J Advanced Complexity Theory, Fall 2001

The topics for this course cover various aspects of complexity theory, such as the basic

- 18.409 Behavior of Algorithms, Spring 2002

This course is a study of Behavior of Algorithms and covers an area of current interest in theoretic

- 18.413 Error-Correcting Codes Laboratory, Spring 2004

This course introduces students to iterative decoding algorithms and the codes to which they are app

- 18.417 Introduction to Computational Molecular Biology, Fall 2004

This course introduces the basic computational methods used to understand the cell on a molecular le

- 18.433 Combinatorial Optimization, Fall 2003

Combinatorial Optimization provides a thorough treatment of linear programming and combinatorial opt

- 18.440 Probability and Random Variables, Fall 2005

This course introduces students to probability and random variables. Topics include distribution fun

- 18.441 Statistical Inference, Spring 2002

Reviews probability and introduces statistical inference. Point and interval estimation. The maximum

- 18.443 Statistics for Applications, Fall 2003

This course provides a broad treatment of statistics, concentrating on specific statistical techniqu

- 18.465 Topics in Statistics: Statistical Learning Theory, Spring 2004

The main goal of this course is to study the generalization ability of a number of popular machine l

- 18.465 Topics in Statistics: Nonparametrics and Robustness, Spring 2005

This graduate-level course focuses on one-dimensional nonparametric statistics developed mainly from

- 18.466 Mathematical Statistics, Spring 2003

This graduate level mathematics course covers decision theory, estimation, confidence intervals, and

- 18.700 Linear Algebra, Fall 2005

This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linea

- 18.701 Algebra I, Fall 2003

The subjects to be covered include groups, vector spaces, linear transformations, symmetry grou

- 18.702 Algebra II, Spring 2003

The course covers group theory and its representations, and focuses on the Sylow theorem, Schur\'s l

- 18.704 Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves, Fall 2004

This is a seminar for mathematics majors, where the students present the lectures. No prior experien

- 18.725 Algebraic Geometry, Fall 2003

This course covers the fundamental notions and results about algebraic varieties over an algebraical

- 18.727 Topics in Algebraic Geometry: Intersection Theory on Moduli Spaces, Spring 2006

The topics for this course vary each semester. This semester, the course aims to introduce technique

- 18.755 Introduction to Lie Groups, Fall 2004

This course is devoted to the theory of Lie Groups with emphasis on its connections with Differentia

- 18.781 Theory of Numbers, Spring 2003

This course provides an elementary introduction to number theory with no algebraic prerequisites. To

- 18.786 Topics in Algebraic Number Theory, Spring 2006

This course is a first course in algebraic number theory. Topics to be covered include number fields

- 18.901 Introduction to Topology, Fall 2004

This course introduces topology, covering topics fundamental to modern analysis and geometry. It als

- 18.904 Seminar in Topology, Fall 2005

In this course, students present and discuss the subject matter with faculty guidance. Topics presen

- 18.906 Algebraic Topology II, Spring 2006

In this second term of Algebraic Topology, the topics covered include fibrations, homotopy groups, t

- 18.950 Differential Geometry, Spring 2005

This course is an introduction to differential geometry of curves and surfaces in three dimensional

- 18.965 Geometry of Manifolds, Fall 2004

Geometry of Manifolds analyzes topics such as the differentiable manifolds and vector fields and for

- 18.994 Seminar in Geometry, Fall 2004

In this course, students take turns in giving lectures. For the most part, the lectures are based on

- 18.996A Simplicity Theory, Spring 2004

This is an advanced topics course in model theory whose main theme is simple theories. We treat simp

- 18.996 / 16.399 Random Matrix Theory and Its Applications, Spring 2004

This course is an introduction to the basics of random matrix theory, motivated by engineering and s

- 18.996 Topics in Theoretical Computer Science : Internet Research Problems, Spring 2002

We will discuss numerous research problems that are related to the internet. Sample topics include:

- 18.996VP General Relativity and Gravitational Radiation, Fall 2002

In this Special Topics course we discuss current theoretical and experimental developments towards t

- 18.997 Topics in Combinatorial Optimization, Spring 2004

In this graduate-level course, we will be covering advanced topics in combinatorial optimization. We

- 18.S34 Problem Solving Seminar, Fall 2004

This course,which is geared toward Freshmen, is an undergraduate seminar on mathematical proble

- 18.S66 The Art of Counting, Spring 2003

The subject of enumerative combinatorics deals with counting the number of elements of a finite set.