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Mathematics

Professor Victor Guillemin works with a student in February 2000
Professor Victor Guillemin works with a student in February 2000.

An undergraduate degree in mathematics provides an excellent basis for graduate work in mathematics or computer science, or for employment in such mathematics-related fields as systems analysis, operations research, or actuarial science.

Because the career objectives of undergraduate mathematics majors are so diverse, each undergraduate's program is individually arranged through collaboration between the student and his or her faculty advisor. In general, students are encouraged to explore the various branches of mathematics, both pure and applied.

Undergraduates seriously interested in mathematics are encouraged to elect an upper-level mathematics seminar. This is normally done during the junior year or the first semester of the senior year. The experience gained from active participation in a seminar conducted by a research mathematician is particularly valuable for a student planning to pursue graduate work.

There are three undergraduate programs that lead to the degree Bachelor's of Science in Mathematics: a General Mathematics Option, an Applied Mathematics Option for those who wish to specialize in that aspect of mathematics, and a Theoretical Mathematics Option for those who expect to pursue graduate work in pure mathematics. A fourth undergraduate program leads to the degree Bachelor's of Science in Mathematics with Computer Science; it is intended for students seriously interested in theoretical computer science.

In addition to courses, supplementary mathematics resources are also available.  Various MIT faculty are openly sharing these resources as a service to MIT OCW users. The resources include calculus textbooks by Professors Gilbert Strang and Daniel Kleitman.

For more information, go to http://www-math.mit.edu/.

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Undergraduate Courses
MIT Course #Course Title
18.01 Single Variable Calculus, Fall 2005
18.013A Calculus with Applications, Spring 2005
18.014 Calculus with Theory I, Fall 2002
18.02 Multivariable Calculus, Spring 2006
18.022 Calculus, Fall 2005
18.024 Calculus with Theory II, Spring 2003
18.03 Differential Equations, Spring 2006
18.034 Honors Differential Equations, Spring 2004
18.04 Complex Variables with Applications, Fall 2003
18.04 Complex Variables with Applications, Fall 1999
18.05 Introduction to Probability and Statistics, Spring 2005
18.06 Linear Algebra, Spring 2005
18.062J Mathematics for Computer Science, Fall 2005
18.062J Mathematics for Computer Science, Spring 2005
18.062J Mathematics for Computer Science (SMA 5512), Fall 2002
18.06CI Linear Algebra - Communications Intensive, Spring 2004
18.091 Mathematical Exposition, Spring 2005
18.100B Analysis I, Fall 2006
18.100C Analysis I, Spring 2006
18.101 Analysis II, Fall 2005
18.103 Fourier Analysis - Theory and Applications, Spring 2004
18.104 Seminar in Analysis: Applications to Number Theory, Fall 2006
18.112 Functions of a Complex Variable, Fall 2006
18.152 Introduction to Partial Differential Equations, Fall 2005
18.152 Introduction to Partial Differential Equations, Fall 2004
18.238 Geometry and Quantum Field Theory, Fall 2002
18.303 Linear Partial Differential Equations, Fall 2006
18.310 Principles of Applied Mathematics, Fall 2004
18.311 Principles of Applied Mathematics, Spring 2006
18.312 Algebraic Combinatorics, Spring 2005
18.314 Combinatorial Analysis, Fall 2005
18.330 Introduction to Numerical Analysis, Spring 2004
18.337J Applied Parallel Computing (SMA 5505), Spring 2005
18.353J Nonlinear Dynamics I: Chaos, Fall 2006 NEW
18.361J Introduction to Modeling and Simulation, Spring 2006
18.400J Automata, Computability, and Complexity, Spring 2005
18.410J Introduction to Algorithms (SMA 5503), Fall 2005
18.413 Error-Correcting Codes Laboratory, Spring 2004
18.433 Combinatorial Optimization, Fall 2003
18.440 Probability and Random Variables, Fall 2005
18.441 Statistical Inference, Spring 2002
18.443 Statistics for Applications, Fall 2006
18.443 Statistics for Applications, Fall 2003
18.700 Linear Algebra, Fall 2005
18.701 Algebra I, Fall 2003
18.702 Algebra II, Spring 2003
18.704 Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves, Fall 2004
18.781 Theory of Numbers, Spring 2003
18.901 Introduction to Topology, Fall 2004
18.904 Seminar in Topology, Fall 2005
18.950 Differential Geometry, Spring 2005
18.994 Seminar in Geometry, Fall 2004
18.996VP General Relativity and Gravitational Radiation, Fall 2002
18.S34 Problem Solving Seminar, Fall 2004
18.S66 The Art of Counting, Spring 2003


Graduate Courses
MIT Course #Course Title
18.075 Advanced Calculus for Engineers, Fall 2004
18.085 Mathematical Methods for Engineers I, Fall 2005
18.086 Mathematical Methods for Engineers II, Spring 2006
18.094J Teaching College-Level Science, Spring 2006
18.117 Topics in Several Complex Variables, Spring 2005
18.125 Measure and Integration, Fall 2003
18.155 Differential Analysis, Fall 2004
18.156 Differential Analysis, Spring 2004
18.175 Theory of Probability, Spring 2007
18.305 Advanced Analytic Methods in Science and Engineering, Fall 2004
18.306 Advanced Partial Differential Equations with Applications, Spring 2004
18.307 Integral Equations, Spring 2006
18.315 Combinatorial Theory: Hyperplane Arrangements, Fall 2004
18.315 Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics, Spring 2005
18.318 Topics in Algebraic Combinatorics, Spring 2006
18.319 Geometric Combinatorics, Fall 2005
18.325 Topics in Applied Mathematics: Mathematical Methods in Nanophotonics, Fall 2005
18.327 Wavelets, Filter Banks and Applications, Spring 2003
18.335J Introduction to Numerical Methods, Fall 2004
18.335J Introduction to Numerical Methods, Fall 2006
18.336 Numerical Methods of Applied Mathematics II, Spring 2005
18.338J Infinite Random Matrix Theory, Fall 2004
18.366 Random Walks and Diffusion, Fall 2006 NEW
18.376J Wave Propagation, Fall 2004
18.376J Wave Propagation, Fall 2006
18.385J Nonlinear Dynamics and Chaos, Fall 2004
18.404J Theory of Computation, Fall 2006 NEW
18.405J Advanced Complexity Theory, Fall 2001
18.409 Behavior of Algorithms, Spring 2002
18.415J Advanced Algorithms, Fall 2001
18.415J Advanced Algorithms, Fall 2005
18.416J Randomized Algorithms, Fall 2002
18.417 Introduction to Computational Molecular Biology, Fall 2004
18.426J Advanced Topics in Cryptography, Spring 2003
18.435J Quantum Computation, Fall 2003
18.437J Distributed Algorithms, Fall 2005
18.465 Topics in Statistics: Nonparametrics and Robustness, Spring 2005
18.465 Topics in Statistics: Statistical Learning Theory, Spring 2004
18.466 Mathematical Statistics, Spring 2003
18.725 Algebraic Geometry, Fall 2003
18.727 Topics in Algebraic Geometry: Intersection Theory on Moduli Spaces, Spring 2006
18.755 Introduction to Lie Groups, Fall 2004
18.786 Topics in Algebraic Number Theory, Spring 2006
18.906 Algebraic Topology II, Spring 2006
18.965 Geometry of Manifolds, Fall 2004
18.969 Topics in Geometry, Fall 2006 NEW
18.996 Random Matrix Theory and Its Applications, Spring 2004
18.996 Topics in Theoretical Computer Science : Internet Research Problems, Spring 2002
18.996A Simplicity Theory, Spring 2004
18.997 Topics in Combinatorial Optimization, Spring 2004