Mathematics

Surprising geometry emerges in the study of fluid jets. In this image, a vertical jet is deflected into a horizontal sheet by a horizontal impactor. At the sheet's edge, fluid flows outward along bounding rims that collide to create fluid chains. (Photo courtesty A.E. Hasha and J.W.M. Bush.)


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. Read more about Mathematics at MIT.

  • Lecture notes Lecture notes
  • Projects and examples Projects and examples
  • Image Galleries Image Galleries
  • Selected lecture notes Selected lecture notes
  • Projects (no examples) Projects (no examples)
  • Online textbooks Online textbooks
  • Assignments and solutions Assignments and solutions
  • Exams and solutions Exams and solutions
  • Multimedia content Multimedia content
  • Assignments (no solutions) Assignments (no solutions)
  • Exams (no solutions) Exams (no solutions)

Updated within the past 180 days

 Course #Course TitleTerm
 
Lecture notesAssignments and solutionsExams and solutions
18.01Single Variable CalculusFall 2005
 
Lecture notesExams and solutionsMultimedia contentAssignments (no solutions)
18.01Single Variable CalculusFall 2006
 
Online textbooksMultimedia content
18.013ACalculus with ApplicationsSpring 2005
 
Selected lecture notes
18.014Calculus with Theory IFall 2002
 
Assignments (no solutions)Exams (no solutions)
18.02Multivariable CalculusSpring 2006
 
Lecture notesExams and solutionsMultimedia contentAssignments (no solutions)
18.02Multivariable CalculusFall 2007
 
Lecture notesAssignments and solutionsExams and solutions
18.022CalculusFall 2005
 
Selected lecture notes
18.024Calculus with Theory IISpring 2003
 
Lecture notesAssignments and solutionsExams and solutionsMultimedia content
18.03Differential EquationsSpring 2006
 
Selected lecture notesAssignments and solutionsExams and solutions
18.034Honors Differential EquationsSpring 2004
NEW
Selected lecture notesAssignments and solutions
18.034Honors Differential EquationsSpring 2009
 
Exams and solutionsAssignments (no solutions)
18.04Complex Variables with ApplicationsFall 1999
 
Selected lecture notesAssignments and solutionsExams (no solutions)
18.04Complex Variables with ApplicationsFall 2003
 
Lecture notesExams (no solutions)
18.05Introduction to Probability and StatisticsSpring 2005
 
Lecture notesAssignments and solutionsExams and solutionsMultimedia content
18.06Linear AlgebraSpring 2005
 
Lecture notesAssignments and solutionsExams and solutions
18.062JMathematics for Computer Science (SMA 5512)Fall 2002
 
Lecture notesAssignments and solutionsExams and solutions
18.062JMathematics for Computer ScienceFall 2005
 
Lecture notesExams and solutionsAssignments (no solutions)
18.062JMathematics for Computer ScienceSpring 2005
 
Projects and examples
18.06CILinear Algebra - Communications IntensiveSpring 2004
 
Projects and examplesSelected lecture notes
18.091Mathematical ExpositionSpring 2005
 
Assignments and solutions
18.098Street-Fighting MathematicsJanuary (IAP) 2008
 
18.100AAnalysis IFall 2007
 
Exams and solutions
18.100BAnalysis IFall 2006
 
Assignments and solutionsExams and solutions
18.100CAnalysis ISpring 2006
 
Lecture notes
18.101Analysis IIFall 2005
NEW
Lecture notesAssignments and solutionsExams (no solutions)
18.102Introduction to Functional AnalysisSpring 2009
 
Lecture notes
18.103Fourier Analysis - Theory and ApplicationsSpring 2004
 
18.104Seminar in Analysis: Applications to Number TheoryFall 2006
 
Lecture notesAssignments and solutionsExams and solutions
18.112Functions of a Complex VariableFall 2008
 
Lecture notesAssignments and solutionsExams (no solutions)
18.152Introduction to Partial Differential EquationsFall 2004
 
Lecture notesAssignments (no solutions)
18.152Introduction to Partial Differential EquationsFall 2005
 
Lecture notes
18.238Geometry and Quantum Field TheoryFall 2002
 
Lecture notesAssignments and solutionsExams and solutions
18.303Linear Partial Differential EquationsFall 2006
 
Projects (no examples)
18.304Undergraduate Seminar in Discrete MathematicsSpring 2006
 
Lecture notesAssignments (no solutions)Exams (no solutions)
18.310CPrinciples of Applied MathematicsFall 2007
NEW
Assignments (no solutions)Exams (no solutions)
18.311Principles of Applied MathematicsSpring 2009
NEW
Selected lecture notesProjects (no examples)Assignments (no solutions)Exams (no solutions)
18.312Algebraic CombinatoricsSpring 2009
 
Assignments and solutionsExams (no solutions)
18.314Combinatorial AnalysisFall 2005
 
Lecture notes
18.330Introduction to Numerical AnalysisSpring 2004
 
Lecture notesProjects and examples
18.337JApplied Parallel Computing (SMA 5505)Spring 2005
 
Lecture notes
18.353JNonlinear Dynamics I: ChaosFall 2006
NEW
18.361JIntroduction to Modeling and SimulationSpring 2008
 
Assignments (no solutions)Exams (no solutions)
18.400JAutomata, Computability, and ComplexitySpring 2005
 
Selected lecture notesAssignments and solutionsExams and solutionsMultimedia content
18.410JIntroduction to Algorithms (SMA 5503)Fall 2005
 
Lecture notesProjects (no examples)
18.413Error-Correcting Codes LaboratorySpring 2004
 
Lecture notes
18.433Combinatorial OptimizationFall 2003
NEW
Assignments (no solutions)
18.440Probability and Random VariablesSpring 2009
 
Lecture notes
18.443Statistics for ApplicationsFall 2003
 
Lecture notesExams (no solutions)
18.443Statistics for ApplicationsFall 2006
NEW
Assignments (no solutions)
18.443Statistics for ApplicationsSpring 2009
 
Assignments (no solutions)Exams (no solutions)
18.700Linear AlgebraFall 2005
 
Lecture notesAssignments (no solutions)Exams (no solutions)
18.701Algebra IFall 2007
 
Selected lecture notesAssignments (no solutions)Exams (no solutions)
18.702Algebra IISpring 2008
 
Selected lecture notes
18.704Seminar in Algebra and Number Theory: Rational Points on Elliptic CurvesFall 2004
 
18.704Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic GeometryFall 2008
 
Lecture notesAssignments (no solutions)
18.712Introduction to Representation TheoryFall 2008
 
Selected lecture notesAssignments and solutionsExams and solutions
18.781Theory of NumbersSpring 2003
 
Selected lecture notes
18.901Introduction to TopologyFall 2004
 
Projects and examples
18.904Seminar in TopologyFall 2005
 
Selected lecture notesAssignments (no solutions)
18.950Differential GeometryFall 2008
 
Lecture notesProjects and examples
18.994Seminar in GeometryFall 2004
 
Assignments and solutions
18.S34Problem Solving SeminarFall 2007
 
18.S66The Art of CountingSpring 2003
^ Back to top

Updated within the past 180 days

 Course #Course TitleTerm
 
Lecture notesAssignments and solutions
18.075Advanced Calculus for EngineersFall 2004
 
Assignments and solutionsExams and solutionsMultimedia content
18.085Computational Science and Engineering IFall 2008
 
Projects and examplesMultimedia content
18.086Mathematical Methods for Engineers IISpring 2006
 
Lecture notes
18.094JTeaching College-Level ScienceSpring 2006
NEW
Multimedia contentAssignments (no solutions)
18.094JTeaching College-Level Science and EngineeringSpring 2009
 
Lecture notes
18.117Topics in Several Complex VariablesSpring 2005
 
Lecture notes
18.125Measure and IntegrationFall 2003
 
Lecture notes
18.155Differential AnalysisFall 2004
 
Lecture notes
18.156Differential AnalysisSpring 2004
 
Lecture notesAssignments (no solutions)
18.175Theory of ProbabilityFall 2008
 
Lecture notesAssignments and solutionsExams (no solutions)
18.305Advanced Analytic Methods in Science and EngineeringFall 2004
NEW
Lecture notesAssignments (no solutions)Exams (no solutions)
18.306Advanced Partial Differential Equations with ApplicationsFall 2009
 
18.307Integral EquationsSpring 2006
 
Lecture notes
18.315Combinatorial Theory: Hyperplane ArrangementsFall 2004
 
18.315Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative CombinatoricsSpring 2005
 
Selected lecture notesAssignments (no solutions)
18.318Topics in Algebraic CombinatoricsSpring 2006
 
18.319Geometric CombinatoricsFall 2005
 
Lecture notes
18.327Wavelets, Filter Banks and ApplicationsSpring 2003
 
Selected lecture notesExams and solutionsAssignments (no solutions)
18.335JIntroduction to Numerical MethodsFall 2004
 
Lecture notesAssignments and solutionsExams (no solutions)
18.335JIntroduction to Numerical MethodsFall 2006
NEW
Projects and examplesAssignments (no solutions)
18.336Numerical Methods for Partial Differential EquationsSpring 2009
 
Selected lecture notes
18.338JInfinite Random Matrix TheoryFall 2004
 
Selected lecture notesAssignments and solutionsExams and solutions
18.366Random Walks and DiffusionFall 2006
 
Assignments (no solutions)Exams (no solutions)
18.369Mathematical Methods in NanophotonicsSpring 2008
 
Lecture notesAssignments (no solutions)Exams (no solutions)
18.376JWave PropagationFall 2006
 
Assignments (no solutions)Exams (no solutions)
18.377JNonlinear Dynamics and WavesSpring 2007
 
Selected lecture notesAssignments (no solutions)Exams (no solutions)
18.385JNonlinear Dynamics and ChaosFall 2004
 
Exams (no solutions)
18.404JTheory of ComputationFall 2006
 
Lecture notes
18.405JAdvanced Complexity TheoryFall 2001
 
Lecture notes
18.409Behavior of AlgorithmsSpring 2002
NEW
18.409Topics in Theoretical Computer Science: An Algorithmist's ToolkitFall 2007
 
18.415JAdvanced AlgorithmsFall 2005
NEW
18.415JAdvanced AlgorithmsFall 2008
 
Selected lecture notes
18.416JRandomized AlgorithmsFall 2002
 
Projects and examplesSelected lecture notes
18.417Introduction to Computational Molecular BiologyFall 2004
 
Lecture notes
18.426JAdvanced Topics in CryptographySpring 2003
 
Selected lecture notesAssignments and solutionsExams and solutions
18.435JQuantum ComputationFall 2003
 
Selected lecture notes
18.437JDistributed AlgorithmsFall 2005
 
Selected lecture notes
18.465Topics in Statistics: Nonparametrics and RobustnessSpring 2005
 
Lecture notesAssignments (no solutions)
18.465Topics in Statistics: Statistical Learning TheorySpring 2007
 
Lecture notesExams (no solutions)
18.466Mathematical StatisticsSpring 2003
 
Assignments (no solutions)
18.705Commutative AlgebraFall 2008
 
Lecture notes
18.725Algebraic GeometryFall 2003
NEW
Lecture notesAssignments (no solutions)
18.726Algebraic GeometrySpring 2009
 
Selected lecture notes
18.727Topics in Algebraic Geometry: Intersection Theory on Moduli SpacesSpring 2006
 
Lecture notesAssignments (no solutions)
18.727Topics in Algebraic Geometry: Algebraic SurfacesSpring 2008
 
Lecture notes
18.755Introduction to Lie GroupsFall 2004
 
Lecture notesAssignments (no solutions)
18.785Analytic Number TheorySpring 2007
 
Assignments (no solutions)Exams (no solutions)
18.786Topics in Algebraic Number TheorySpring 2006
 
Assignments (no solutions)
18.905Algebraic TopologyFall 2006
 
Selected lecture notes
18.906Algebraic Topology IISpring 2006
 
Lecture notes
18.917Topics in Algebraic Topology: The Sullivan ConjectureFall 2007
 
Lecture notes
18.965Geometry of ManifoldsFall 2004
 
Lecture notesAssignments and solutions
18.966Geometry of ManifoldsSpring 2007
 
Lecture notes
18.969Topics in Geometry: Dirac GeometryFall 2006
NEW
Lecture notes
18.969Topics in Geometry: Mirror SymmetrySpring 2009
 
Selected lecture notes
18.996Topics in Theoretical Computer Science : Internet Research ProblemsSpring 2002
 
Projects and examplesSelected lecture notes
18.996Random Matrix Theory and Its ApplicationsSpring 2004
 
Lecture notes
18.996ASimplicity TheorySpring 2004
 
Lecture notes
18.997Topics in Combinatorial OptimizationSpring 2004
^ Back to top
Donate Now