mit课程ocw-mathematics

https://ocw.mit.edu/courses/find-by-topic/#cat=mathematics

Course #Course TitleLevel
1.010 Uncertainty in Engineering Undergraduate
1.017 Computing and Data Analysis for Environmental Applications Undergraduate
2.003J Dynamics and Control I (Fall 2007) Undergraduate
2.003J Dynamics and Control I (Spring 2007) Undergraduate
2.003 Modeling Dynamics and Control I Undergraduate
2.004 Dynamics and Control II Undergraduate
2.004 Systems, Modeling, and Control II Undergraduate
2.004 Modeling Dynamics and Control II Undergraduate
2.017J Design of Electromechanical Robotic Systems Undergraduate
2.086 Numerical Computation for Mechanical Engineers (Fall 2014) Undergraduate
2.086 Numerical Computation for Mechanical Engineers (Spring 2013) Undergraduate
2.086 Numerical Computation for Mechanical Engineers (Fall 2012) Undergraduate
2.087 Engineering Math: Differential Equations and Linear Algebra Undergraduate
2.092 Finite Element Analysis of Solids and Fluids I Undergraduate
2.993J Introduction to Numerical Analysis for Engineering (13.002J) Undergraduate
3.016 Mathematics for Materials Scientists and Engineers Undergraduate
6.001 Structure and Interpretation of Computer Programs Undergraduate
6.004 Computation Structures Undergraduate
6.006 Introduction to Algorithms Undergraduate
6.041 Probabilistic Systems Analysis and Applied Probability Undergraduate
6.041 Probabilistic Systems Analysis and Applied Probability Undergraduate
6.041SC Probabilistic Systems Analysis and Applied Probability Undergraduate
6.042J Mathematics for Computer Science (Spring 2015) Undergraduate
6.042J Mathematics for Computer Science (Fall 2010) Undergraduate
6.042J Mathematics for Computer Science (Fall 2005) Undergraduate
6.045J Automata, Computability, and Complexity Undergraduate
6.046J Design and Analysis of Algorithms Undergraduate
6.050J Information and Entropy Undergraduate
6.055J The Art of Approximation in Science and Engineering Undergraduate
6.071J Introduction to Electronics, Signals, and Measurement Undergraduate
6.079 Introduction to Convex Optimization Undergraduate
6.080 Great Ideas in Theoretical Computer Science Undergraduate
6.094 Introduction to MATLAB (January IAP 2010) Undergraduate
7.342 Systems Biology: Stochastic Processes and Biological Robustness Undergraduate
7.343 Network Medicine: Using Systems Biology and Signaling Networks to Create Novel Cancer Therapeutics Undergraduate
8.044 Statistical Physics I Undergraduate
8.08 Statistical Physics II Undergraduate
9.07 Statistical Methods in Brain and Cognitive Science Undergraduate
14.11 Insights from Game Theory into Social Behavior Undergraduate
14.30 Introduction to Statistical Methods in Economics Undergraduate
14.30 Introduction to Statistical Method in Economics Undergraduate
14.32 Econometrics Undergraduate
15.053 Optimization Methods in Management Science Undergraduate
15.075J Statistical Thinking and Data Analysis Undergraduate
16.90 Computational Methods in Aerospace Engineering Undergraduate
17.871 Political Science Laboratory Undergraduate
17.881 Game Theory and Political Theory Undergraduate
18.01SC Single Variable Calculus Undergraduate
18.01 Single Variable Calculus Undergraduate
18.01 Single Variable Calculus Undergraduate
18.013A Calculus with Applications Undergraduate
18.014 Calculus with Theory Undergraduate
18.02SC Multivariable Calculus Undergraduate
18.02 Multivariable Calculus Undergraduate
18.02 Multivariable Calculus Undergraduate
18.022 Calculus of Several Variables Undergraduate
18.024 Multivariable Calculus with Theory Undergraduate
18.03SC Differential Equations Undergraduate
18.03 Differential Equations Undergraduate
18.034 Honors Differential Equations (Spring 2009) Undergraduate
18.034 Honors Differential Equations (Spring 2004) Undergraduate
18.04 Complex Variables with Applications (Fall 2003) Undergraduate
18.04 Complex Variables with Applications (Fall 1999) Undergraduate
18.05 Introduction to Probability and Statistics Undergraduate
18.06SC Linear Algebra Undergraduate
18.06 Linear Algebra Undergraduate
18.06CI Linear Algebra - Communications Intensive Undergraduate
18.091 Mathematical Exposition Undergraduate
18.098 Street-Fighting Mathematics Undergraduate
18.100A Introduction to Analysis Undergraduate
18.100B Analysis I Undergraduate
18.100C Real Analysis Undergraduate
18.101 Analysis II Undergraduate
18.102 Introduction to Functional Analysis Undergraduate
18.103 Fourier Analysis Undergraduate
18.104 Seminar in Analysis: Applications to Number Theory Undergraduate
18.112 Functions of a Complex Variable Undergraduate
18.152 Introduction to Partial Differential Equations (Fall 2011) Undergraduate
18.152 Introduction to Partial Differential Equations (Fall 2005) Undergraduate
18.238 Geometry and Quantum Field Theory Undergraduate
18.303 Linear Partial Differential Equations: Analysis and Numerics Undergraduate
18.303 Linear Partial Differential Equations Undergraduate
18.304 Undergraduate Seminar in Discrete Mathematics Undergraduate
18.310 Principles of Discrete Applied Mathematics Undergraduate
18.311 Principles of Applied Mathematics Undergraduate
18.312 Algebraic Combinatorics Undergraduate
18.314 Combinatorial Analysis Undergraduate
18.330 Introduction to Numerical Analysis (Spring 2012) Undergraduate
18.330 Introduction to Numerical Analysis (Spring 2004) Undergraduate
18.353J Nonlinear Dynamics I: Chaos Undergraduate
18.413 Error-Correcting Codes Laboratory Undergraduate
18.433 Combinatorial Optimization Undergraduate
18.440 Probability and Random Variables Undergraduate
18.443 Statistics for Applications (Spring 2015) Undergraduate
18.443 Statistics for Applications (Fall 2006) Undergraduate
18.443 Statistics for Applications (Fall 2003) Undergraduate
18.700 Linear Algebra Undergraduate
18.701 Algebra I Undergraduate
18.702 Algebra II Undergraduate
18.703 Modern Algebra Undergraduate
18.704 Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic Geometry Undergraduate
18.704 Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves Undergraduate
18.712 Introduction to Representation Theory Undergraduate
18.781 Theory of Numbers Undergraduate
18.782 Introduction to Arithmetic Geometry Undergraduate
18.901 Introduction to Topology Undergraduate
18.904 Seminar in Topology Undergraduate
18.950 Differential Geometry Undergraduate
18.994 Seminar in Geometry Undergraduate
18.S096 Topics in Mathematics of Data Science Undergraduate
18.S096 Topics in Mathematics with Applications in Finance Undergraduate
18.S66 The Art of Counting Undergraduate
18.S997 Introduction To MATLAB Programming Undergraduate
24.242 Logic II Undergraduate
ES.113 Ancient Greek Philosophy and Mathematics Undergraduate
21L.017 The Art of the Probable: Literature and Probability Undergraduate
21M.380 Music and Technology: Algorithmic and Generative Music Undergraduate
Supplemental Calculus Online Textbook Undergraduate
Supplemental Introduction to MATLAB (Spring 2008) Undergraduate
Supplemental Calculus for Beginners and Artists Undergraduate
Supplemental Highlights of Calculus Undergraduate
Supplemental Calculus Revisited: Single Variable Calculus Undergraduate
Supplemental Calculus Revisited: Multivariable Calculus Undergraduate
Supplemental Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra Undergraduate
Supplemental Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler Undergraduate
Supplemental Electromagnetic Field Theory: A Problem Solving Approach Undergraduate
Supplemental The Art of Insight in Science and Engineering: Mastering Complexity Undergraduate
Supplemental Applied Geometric Algebra Undergraduate
Supplemental STEM Concept Videos Undergraduate
1.151 Probability and Statistics in Engineering Graduate
1.203J Logistical and Transportation Planning Methods Graduate
2.035 Special Topics in Mathematics with Applications: Linear Algebra and the Calculus of Variations Graduate
2.094 Finite Element Analysis of Solids and Fluids II Graduate
2.158J Computational Geometry Graduate
2.161 Signal Processing: Continuous and Discrete Graduate
2.29 Numerical Fluid Mechanics Graduate
2.29 Numerical Marine Hydrodynamics (13.024) Graduate
2.830J Control of Manufacturing Processes (SMA 6303) Graduate
2.852 Manufacturing Systems Analysis Graduate
2.854 Introduction to Manufacturing Systems Graduate
4.638 Drawings & Numbers: Five Centuries of Digital Design Graduate
5.72 Statistical Mechanics Graduate
6.231 Dynamic Programming and Stochastic Control Graduate
6.241J Dynamic Systems and Control Graduate
6.251J Introduction to Mathematical Programming Graduate
6.253 Convex Analysis and Optimization Graduate
6.262 Discrete Stochastic Processes Graduate
6.341 Discrete-Time Signal Processing Graduate
6.432 Stochastic Processes, Detection, and Estimation Graduate
6.435 System Identification Graduate
6.436J Fundamentals of Probability Graduate
6.438 Algorithms for Inference Graduate
6.441 Information Theory Graduate
6.632 Electromagnetic Wave Theory Graduate
6.728 Applied Quantum and Statistical Physics Graduate
6.844 Computability Theory of and with Scheme Graduate
6.845 Quantum Complexity Theory Graduate
6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra Graduate
6.856J Randomized Algorithms Graduate
6.867 Machine Learning Graduate
6.884 Complex Digital Systems Graduate
6.890 Algorithmic Lower Bounds: Fun with Hardness Proofs Graduate
6.972 Algebraic Techniques and Semidefinite Optimization Graduate
8.333 Statistical Mechanics I: Statistical Mechanics of Particles Graduate
8.334 Statistical Mechanics II: Statistical Physics of Fields Graduate
9.520 Statistical Learning Theory and Applications (Spring 2006) Graduate
9.520 Statistical Learning Theory and Applications (Spring 2003) Graduate
9.520-A Networks for Learning: Regression and Classification Graduate
9.916-A Probability and Causality in Human Cognition Graduate
10.34 Numerical Methods Applied to Chemical Engineering (Fall 2006) Graduate
10.34 Numerical Methods Applied to Chemical Engineering (Fall 2005) Graduate
11.220 Quantitative Reasoning & Statistical Methods for Planners I Graduate
12.864 Inference from Data and Models Graduate
12.950 Atmospheric and Oceanic Modeling Graduate
12.990 Prediction and Predictability in the Atmosphere and Oceans Graduate
12.S990 Quantifying Uncertainty Graduate
14.381 Statistical Method in Economics (Fall 2013) Graduate
14.381 Statistical Method in Economics (Fall 2006) Graduate
14.382 Econometrics I Graduate
14.384 Time Series Analysis Graduate
14.385 Nonlinear Econometric Analysis Graduate
14.386 New Econometric Methods Graduate
14.387 Applied Econometrics: Mostly Harmless Big Data Graduate
14.451 Dynamic Optimization Methods with Applications Graduate
15.057 Systems Optimization Graduate
15.060 Data, Models, and Decisions Graduate
15.066J System Optimization and Analysis for Manufacturing Graduate
15.070J Advanced Stochastic Processes Graduate
15.072J Queues: Theory and Applications Graduate
15.082J Network Optimization Graduate
15.083J Integer Programming and Combinatorial Optimization Graduate
15.084J Nonlinear Programming Graduate
15.093J Optimization Methods Graduate
15.094J Systems Optimization: Models and Computation (SMA 5223) Graduate
15.097 Prediction: Machine Learning and Statistics Graduate
15.098 Special Seminar in Applied Probability and Stochastic Processes Graduate
15.099 Readings in Optimization Graduate
15.348 Doctoral Seminar in Research Methods II Graduate
15.450 Analytics of Finance Graduate
15.S50 Poker Theory and Analytics Graduate
16.322 Stochastic Estimation and Control Graduate
16.881 Robust System Design Graduate
16.920J Numerical Methods for Partial Differential Equations (SMA 5212) Graduate
17.872 Quantitative Research in Political Science and Public Policy Graduate
17.874 Quantitative Research Methods: Multivariate Graduate
18.075 Advanced Calculus for Engineers Graduate
18.085 Computational Science and Engineering I Graduate
18.086 Mathematical Methods for Engineers II Graduate
18.117 Topics in Several Complex Variables Graduate
18.125 Measure and Integration Graduate
18.155 Differential Analysis (Fall 2004) Graduate
18.156 Differential Analysis II: Partial Differential Equations and Fourier Analysis Graduate
18.156 Differential Analysis (Spring 2004) Graduate
18.175 Theory of Probability Graduate
18.177 Universal Random Structures in 2D Graduate
18.305 Advanced Analytic Methods in Science and Engineering Graduate
18.306 Advanced Partial Differential Equations with Applications Graduate
18.307 Integral Equations Graduate
18.315 Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics Graduate
18.315 Combinatorial Theory: Hyperplane Arrangements Graduate
18.318 Topics in Algebraic Combinatorics Graduate
18.319 Geometric Combinatorics Graduate
18.325 Topics in Applied Mathematics: Waves and Imaging Graduate
18.327 Wavelets, Filter Banks and Applications Graduate
18.335J Introduction to Numerical Methods (Fall 2010) Graduate
18.335J Introduction to Numerical Methods (Fall 2004) Graduate
18.336 Numerical Methods for Partial Differential Equations Graduate
18.337J Parallel Computing Graduate
18.338J Infinite Random Matrix Theory Graduate
18.354J Nonlinear Dynamics II: Continuum Systems Graduate
18.357 Interfacial Phenomena Graduate
18.366 Random Walks and Diffusion Graduate
18.369 Mathematical Methods in Nanophotonics Graduate
18.385J Nonlinear Dynamics and Chaos (Fall 2014) Graduate
18.385J Nonlinear Dynamics and Chaos (Fall 2004) Graduate
18.404J Theory of Computation Graduate
18.405J Advanced Complexity Theory Graduate
18.409 Algorithmic Aspects of Machine Learning Graduate
18.409 Topics in Theoretical Computer Science: An Algorithmist's Toolkit Graduate
18.409 Behavior of Algorithms Graduate
18.417 Introduction to Computational Molecular Biology Graduate
18.435J Quantum Computation Graduate
18.445 Introduction to Stochastic Processes Graduate
18.465 Topics in Statistics: Statistical Learning Theory Graduate
18.465 Topics in Statistics: Nonparametrics and Robustness Graduate
18.655 Mathematical Statistics Graduate
18.657 Mathematics of Machine Learning Graduate
18.705 Commutative Algebra Graduate
18.725 Algebraic Geometry (Fall 2015) Graduate
18.725 Algebraic Geometry (Fall 2003) Graduate
18.726 Algebraic Geometry Graduate
18.727 Topics in Algebraic Geometry: Algebraic Surfaces Graduate
18.727 Topics in Algebraic Geometry: Intersection Theory on Moduli Spaces Graduate
18.735 Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics Graduate
18.755 Introduction to Lie Groups Graduate
18.769 Topics in Lie Theory: Tensor Categories Graduate
18.783 Elliptic Curves Graduate
18.785 Number Theory I Graduate
18.786 Topics in Algebraic Number Theory (Spring 2010) Graduate
18.786 Topics in Algebraic Number Theory (Spring 2006) Graduate
18.905 Algebraic Topology Graduate
18.906 Algebraic Topology II Graduate
18.915 Graduate Topology Seminar: Kan Seminar Graduate
18.917 Topics in Algebraic Topology: The Sullivan Conjecture Graduate
18.965 Geometry of Manifolds Graduate
18.966 Geometry of Manifolds Graduate
18.969 Topics in Geometry: Mirror Symmetry Graduate
18.969 Topics in Geometry: Dirac Geometry Graduate
18.996 Random Matrix Theory and Its Applications Graduate
18.996A Simplicity Theory Graduate
18.997 Topics in Combinatorial Optimization Graduate
18.S996 Category Theory for Scientists Graduate
18.S997 High-Dimensional Statistics Graduate
18.S997 The Polynomial Method Graduate
22.15 Essential Numerical Methods Graduate
22.38 Probability And Its Applications To Reliability, Quality Control, And Risk Assessment Graduate
22.52J Statistical Thermodynamics of Complex Liquids Graduate
ESD.70J Engineering Economy Module Graduate
ESD.72 Engineering Risk-Benefit Analysis Graduate
ESD.86 Models, Data and Inference for Socio-Technical Systems Graduate
MAS.622J Pattern Recognition and Analysis Graduate
MAS.865J Quantum Information Science Graduate
MAS.961 Networks, Complexity and Its Applications Graduate
MAS.962 Special Topics in Media Technology: Computational Semantics Graduate
Supplemental Statistics and Visualization for Data Analysis and Inference Graduate
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