mit课程ocw-mathematics

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

Course #	Course Title	Level
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