الثلاثاء، 8 ديسمبر 2015

MATHEMATICS COURSES

FEATURED COURSES

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 OCW users. The resources include calculus textbooks by Professors Gilbert Strang and Daniel Kleitman.

MATHEMATICS COURSES

Course #Course TitleLevel
18.01SCSingle Variable Calculus (Fall 2010)Undergraduate
18.01Single Variable Calculus (Fall 2006)Undergraduate
18.01Single Variable Calculus (Fall 2005)Undergraduate
18.013ACalculus with ApplicationsUndergraduate
18.014Calculus with TheoryUndergraduate
18.02SCMultivariable Calculus (Fall 2010)Undergraduate
18.02Multivariable Calculus (Fall 2007)Undergraduate
18.02Multivariable Calculus (Spring 2006)Undergraduate
18.022Calculus of Several VariablesUndergraduate
18.024Multivariable Calculus with TheoryUndergraduate
18.03SCDifferential Equations (Fall 2011)Undergraduate
18.03Differential Equations (Spring 2010)Undergraduate
18.034Honors Differential Equations (Spring 2009)Undergraduate
18.034Honors Differential Equations (Spring 2004)Undergraduate
18.04Complex Variables with Applications (Fall 2003)Undergraduate
18.04Complex Variables with Applications (Fall 1999)Undergraduate
18.05Introduction to Probability and StatisticsUndergraduate
18.06SCLinear Algebra (Fall 2011)Undergraduate
18.06Linear Algebra (Spring 2010)Undergraduate
18.062JMathematics for Computer Science (Fall 2010)Undergraduate
18.062JMathematics for Computer Science (Spring 2010)Undergraduate
18.062JMathematics for Computer Science (Fall 2005)Undergraduate
18.062JMathematics for Computer Science (Spring 2005)Undergraduate
18.06CILinear Algebra - Communications IntensiveUndergraduate
18.091Mathematical ExpositionUndergraduate
18.098Street-Fighting MathematicsUndergraduate
18.100AIntroduction to AnalysisUndergraduate
18.100BAnalysis IUndergraduate
18.100CReal AnalysisUndergraduate
18.101Analysis IIUndergraduate
18.102Introduction to Functional AnalysisUndergraduate
18.103Fourier Analysis - Theory and ApplicationsUndergraduate
18.104Seminar in Analysis: Applications to Number TheoryUndergraduate
18.112Functions of a Complex VariableUndergraduate
18.152Introduction to Partial Differential Equations (Fall 2011)Undergraduate
18.152Introduction to Partial Differential Equations (Fall 2005)Undergraduate
18.238Geometry and Quantum Field TheoryUndergraduate
18.303Linear Partial Differential Equations: Analysis and NumericsUndergraduate
18.303Linear Partial Differential EquationsUndergraduate
18.304Undergraduate Seminar in Discrete MathematicsUndergraduate
18.310Principles of Discrete Applied MathematicsUndergraduate
18.311Principles of Applied MathematicsUndergraduate
18.312Algebraic CombinatoricsUndergraduate
18.314Combinatorial AnalysisUndergraduate
18.330Introduction to Numerical Analysis (Spring 2012)Undergraduate
18.330Introduction to Numerical Analysis (Spring 2004)Undergraduate
18.353JNonlinear Dynamics I: ChaosUndergraduate
18.361JIntroduction to Modeling and SimulationUndergraduate
18.400JAutomata, Computability, and ComplexityUndergraduate
18.410JDesign and Analysis of AlgorithmsUndergraduate
18.410JIntroduction to Algorithms (SMA 5503)Undergraduate
18.413Error-Correcting Codes LaboratoryUndergraduate
18.433Combinatorial OptimizationUndergraduate
18.440Probability and Random VariablesUndergraduate
18.443Statistics for Applications (Spring 2009)Undergraduate
18.443Statistics for Applications (Fall 2006)Undergraduate
18.443Statistics for Applications (Fall 2003)Undergraduate
18.700Linear Algebra (Fall 2013)Undergraduate
18.701Algebra IUndergraduate
18.702Algebra IIUndergraduate
18.703Modern AlgebraUndergraduate
18.704Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic GeometryUndergraduate
18.704Seminar in Algebra and Number Theory: Rational Points on Elliptic CurvesUndergraduate
18.712Introduction to Representation TheoryUndergraduate
18.781Theory of NumbersUndergraduate
18.782Introduction to Arithmetic GeometryUndergraduate
18.821Project Laboratory in MathematicsUndergraduate
18.901Introduction to TopologyUndergraduate
18.904Seminar in TopologyUndergraduate
18.950Differential GeometryUndergraduate
18.994Seminar in GeometryUndergraduate
18.S096Topics in Mathematics with Applications in FinanceUndergraduate
18.S34Problem Solving SeminarUndergraduate
18.S66The Art of CountingUndergraduate
18.S997Introduction To MATLAB ProgrammingUndergraduate
18.075Advanced Calculus for EngineersGraduate
18.085Computational Science and Engineering IGraduate
18.086Mathematical Methods for Engineers IIGraduate
18.094JTeaching College-Level Science and Engineering (Fall 2012)Graduate
18.094JTeaching College-Level Science and Engineering (Spring 2009)Graduate
18.117Topics in Several Complex VariablesGraduate
18.125Measure and IntegrationGraduate
18.155Differential Analysis (Fall 2004)Graduate
18.156Differential Analysis (Spring 2004)Graduate
18.175Theory of ProbabilityGraduate
18.305Advanced Analytic Methods in Science and EngineeringGraduate
18.306Advanced Partial Differential Equations with ApplicationsGraduate
18.307Integral EquationsGraduate
18.315Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative CombinatoricsGraduate
18.315Combinatorial Theory: Hyperplane ArrangementsGraduate
18.318Topics in Algebraic CombinatoricsGraduate
18.319Geometric CombinatoricsGraduate
18.325Topics in Applied Mathematics: Waves and ImagingGraduate
18.327Wavelets, Filter Banks and ApplicationsGraduate
18.335JIntroduction to Numerical Methods (Fall 2010)Graduate
18.335JIntroduction to Numerical Methods (Fall 2004)Graduate
18.336Numerical Methods for Partial Differential EquationsGraduate
18.337JParallel ComputingGraduate
18.338JInfinite Random Matrix TheoryGraduate
18.354JNonlinear Dynamics II: Continuum SystemsGraduate
18.357Interfacial PhenomenaGraduate
18.366Random Walks and DiffusionGraduate
18.369Mathematical Methods in NanophotonicsGraduate
18.376JWave PropagationGraduate
18.377JNonlinear Dynamics and WavesGraduate
18.385JNonlinear Dynamics and Chaos (Fall 2014)Graduate
18.385JNonlinear Dynamics and Chaos (Fall 2004)Graduate
18.404JTheory of ComputationGraduate
18.405JAdvanced Complexity TheoryGraduate
18.409Algorithmic Aspects of Machine LearningGraduate
18.409Topics in Theoretical Computer Science: An Algorithmist's ToolkitGraduate
18.409Behavior of AlgorithmsGraduate
18.415JAdvanced Algorithms (Fall 2008)Graduate
18.415JAdvanced Algorithms (Fall 2005)Graduate
18.416JRandomized AlgorithmsGraduate
18.417Introduction to Computational Molecular BiologyGraduate
18.426JAdvanced Topics in CryptographyGraduate
18.435JQuantum ComputationGraduate
18.437JDistributed AlgorithmsGraduate
18.445Introduction to Stochastic ProcessesGraduate
18.465Topics in Statistics: Statistical Learning TheoryGraduate
18.465Topics in Statistics: Nonparametrics and RobustnessGraduate
18.466Mathematical StatisticsGraduate
18.705Commutative AlgebraGraduate
18.725Algebraic Geometry (Fall 2003)Graduate
18.726Algebraic Geometry (Spring 2009)Graduate
18.727Topics in Algebraic Geometry: Algebraic SurfacesGraduate
18.727Topics in Algebraic Geometry: Intersection Theory on Moduli SpacesGraduate
18.735Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical PhysicsGraduate
18.755Introduction to Lie GroupsGraduate
18.769Topics in Lie Theory: Tensor CategoriesGraduate
18.783Elliptic CurvesGraduate
18.785Analytic Number TheoryGraduate
18.786Topics in Algebraic Number Theory (Spring 2010)Graduate
18.786Topics in Algebraic Number Theory (Spring 2006)Graduate
18.905Algebraic TopologyGraduate
18.906Algebraic Topology IIGraduate
18.915Graduate Topology Seminar: Kan SeminarGraduate
18.917Topics in Algebraic Topology: The Sullivan ConjectureGraduate
18.965Geometry of Manifolds (Fall 2004)Graduate
18.966Geometry of Manifolds (Spring 2007)Graduate
18.969Topics in Geometry: Mirror SymmetryGraduate
18.969Topics in Geometry: Dirac GeometryGraduate
18.996Random Matrix Theory and Its ApplicationsGraduate
18.996Topics in Theoretical Computer Science : Internet Research ProblemsGraduate
18.996ASimplicity TheoryGraduate
18.997Topics in Combinatorial OptimizationGraduate
18.S996Category Theory for ScientistsGraduate
18.S997High-Dimensional StatisticsGraduate

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