Graduate Level Math and Statistics OpenCourseWare

Graduate Level Statistics OpenCourseWare

Mathematical Statistics OpenCourseWare: A Free Graduate Level Statistics Course by MIT on the Study of Sample Theory
Massachusetts Institute of Technology (MIT) offers a free OpenCourseWare for students interested in mathematical statistics. The 'Mathematical Statistics' course is a graduatelevel study of estimations, decision theory, hypothesis testing and confidence intervals. Prerequisites for this course include coursework in real analysis and measure theory and some knowledge of probability or statistics.

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Advanced Analytic Methods in Science and Engineering OpenCourseWare: A Free Graduate Level Applied Mathematics Class by MIT
'Advanced Analytic Methods in Science and Engineering' teaches students to use mathematical techniques and results to solve problems from other disciplines. Through its Mathematics department, the Massachusetts Institute of Technology offers this graduatelevel course for free online as a selfstudy OpenCourseWare.

Algebraic Geometry (Intersection Theory on Moduli Spaces) OpenCourseWare: A Free MIT GradLevel Mathematics Course
Mathematics students may be interested in the free OpenCourseWare 'Topics in Algebraic Geometry: Intersection Theory on Moduli Spaces' offered by the Massachusetts Institute of Technology (MIT). This graduatelevel course introduces a variety of theories and techniques related to moduli spaces. Prior knowledge of algebraic topology will be helpful to students taking this course.

Algebraic Geometry OpenCourseWare: A Free MIT Graduate Study Course on Algebraic Geometry
MIT offers a free OpenCourseWare that provides an overview of algebraic geometry using algebraic varieties. The 'Algebraic Geometry' course covers basic topics in preparation for deeper study of algebraic schemes in subsequent courses. This graduatelevel course is appropriate for students earning degrees in Mathematics. Some previous study in basic topology, differential geometry and commutative algebra is recommended.

Algebraic Number Theory OpenCourseWare: A Free Graduate Study Course by MIT on the Study of Computer Algebra
'Topics in Algebraic Number Theory' is a free OpenCourseWare offered by MIT. The first in a series of courses on algebraic number theory, this course covers a wide variety of topics preparing students for more indepth study. While the course is available to undergraduate Mathematics students, it is taught at a graduate level, and prior knowledge of number theory, abstract and commutative algebra and real and complex analysis is recommended.

Algebraic Topology II OpenCourseWare: MIT's Free Graduate Level Advanced Algebraic Topology Course
Graduate students earning a master's degree in Mathematics can further their study of the concepts of algebraic topology in 'Algebraic Topography II,' a free OpenCourseWare offered by MIT (Massachusetts Institute of Technology). Building off the prerequisite course 'Algebraic Topography I,' students will further their understanding of the relationship between algebraic objects and topological spaces.

Algebraic Topology OpenCourseWare: A Free Online Graduate Study Course by MIT on Algebraic Topology
Students of applied mathematics may be interested in the OpenCourseWare 'Algebraic Topology' offered by the Massachusetts Institutes of Technology (MIT). This free course introduces graduatelevel students to the basic concepts of algebraic topology. Students should have previous coursework in advanced mathematics at the graduate level before beginning this course.

Analytic Number Theory OpenCourseWare: A Free Online MIT Graduate Study Mathematics Course
The Massachusetts Institute of Technology's (MIT) OpenCourseWare 'Analytic Number Theory' is appropriate for graduatelevel students earning degrees in Statistics or Mathematics. The course introduces analytic number theory and the prime number theorem as they are used in arithmetic progressions. Before beginning this course, students should have a thorough understanding of complex analysis and a general familiarity with number theory and abstract algebra.

Applied Mathematics (Mathematical Methods in Nanophotonics) OpenCourseWare: A Free GradLevel Mathematics Course by MIT
Nanophotonics, the study of electromagnetic waves on a nanometer scale, has increasing implications on optical fibers and the telecommunications industry. 'Mathematical Methods in Nanophotonics' a free OpenCourseWare offered by the mathematics department at the Massachusetts Institute of Technology (MIT), is designed for graduatelevel students interested in exploring the physics and mathematics of nanophotonics. Students interested in this course need to have an advanced understanding of analytic methods used in the fields of science and engineering.

Behavior of Algorithms OpenCourseWare: MIT's Free Graduate Level Course on the Study of Algorithms
Graduate students earning master's degrees in Mathematics who are interested in theoretical topics in computer science may be interested in this OpenCourseWare on the study of algorithms. Massachusetts Institute of Technology's (MIT) free course, 'Behavior of Algorithms,' takes an indepth look at a variety of topics in this exciting field. Students interested in this course should first complete courses in algorithms, numerical analysis and computer programming.

Combinatorial Optimization OpenCourseWare: MIT's Free Online PH.D. Level Course on Combinational Optimization
'Topics in Combinatorial Optimization,' a graduatelevel OpenCourseWare offered by the Massachusetts Institute of Technology, focuses on the use of combinatorics to solve complex problems in mathematics, finance, economics and other fields. The course is intended for graduate students and professionals interested in learning the applications of this challenging and versatile field of study.

Computational Molecular Biology OpenCourseWare: A Free MIT Graduate Level Course on Basic Computational Methods
MIT offers this OpenCourseWare entitled' Computation Molecular Biology.' This course examines the computational methods that are essential for analyzing data and understanding how cells function on a molecular level. Students interested in biology, genetics and student completing graduatelevel degree programs, such as the Master of Science degree in Bioinformatics, will find the information in this course helpful.

Geometric Combinatorics OpenCourseWare: A Free Graduate Study Geometry Course by MIT
This OpenCourseWare, 'Geometry Combinatorics,' is offered courtesy of the Massachusetts Institute of Technology. The objective of this course is to develop in students a basic understanding of discrete and computational geometry. The course examines the structure and complexity of geometric objects and the design of efficient algorithms for creating combinatorial structures. Students interested in physics, or students completing mathematicsrelated degree programs, such as the Master of Science degree in Applied Mathematics will find this information helpful. Prior coursework in advanced mathematics is highly recommended.

Geometry of Manifolds OpenCourseWare: A Free Graduate Level Course by MIT on the Study of Manifold Geometry
'Geometry of Manifolds,' a free OpenCourseWare from MIT, examines the geometry of symplectic manifolds and studies long digressions into complex geometry and the theory of 4dimensional manifolds from a topological perspective. Students earning a master's degree in Engineering or Physics will find this graduatelevel course fascinating and beneficial. A background in manifolds, vectors, cohomology and advanced mathematics is recommended for all students interested in this course.

Geometry OpenCourseWare: A Free MIT Graduate Study Course on Geometry
'Topics in Geometry' is a free OpenCourseWare offered by MIT concentrating on complex geometry as developed by Hitchin. It also and takes a detailed look at Dirac geometry theory. There are no prerequsites for this course, but a background in advance mathematics is recommended. Students who are pursuing mathematicsrelated degrees, such as the Master of Science degree in Mathematics, will find this graduatelevel course helpful.

Infinite Random Matrix Theory OpenCourseWare: A Free Online Graduate Study Mathematics Course by MIT
'Infinite Random Matrix Theory' is a free OpenCourseWare offered by MIT. This course concentrates on the mathematical theories and various applications of infinite random matrix theory. Researchers and graduate students in a variety of disciplines, including health policy, mathematics, engineering and physics, will find this graduatelevel course useful to the studies in their chosen field.

Introduction to Lie Groups OpenCourseWare: A Free Graduate Study Mathematics Course by MIT
This OpenCourseWare, 'Introduction to Lie Groups,' is offered by the Massachusetts Institute of Technology. The course focuses on the theory of Lie Groups and differential geometry and their roles in applied mathematics and theoretical physics. This course is intended for graduatelevel students interested in the fields of physics, engineering and mathematics.

Mathematical Methods for Engineers OpenCourseWare: MIT's Free Online Graduate Mathematics Course for Engineering Students
'Mathematical Methods for Engineers II' is a free OpenCourseWare class available online from MIT. It is an advancedlevel graduate course for students who have already taken calculus and differential equations courses. The class applies mathematics to problems in engineering and computational science.

Nonlinear Dynamics and Chaos OpenCourseWare: A Free Online Graduate Study Course by MIT on Nonlinear Dynamics
'Nonlinear Dynamics and Chaos' is an OpenCourseWare that is provided by the Massachusetts Institute of Technology. This course concentrates on the theory of nonlinear dynamics and chaos and its association with random events that take place in closed systems. Nonlinear dynamics and chaos concepts are routinely applied in various disciplines, including mathematics, physics, biology, chemistry and engineering. Graduate students completing advance degree programs, such a master's degree in Mathematics, Physics or a related field will enjoy this challenging course.

Numerical Methods of Applied Mathematics II OpenCourseWare: A Free GradLevel Applied Mathematics Course by MIT
This OpenCourseWare, provided by the Massachusetts Institute of Technology, is entitled 'Numerical Methods of Applied Mathematics  II.' This graduatelevel course focuses on the mathematical techniques associated with using differential equations to analyze of physical, biological and economic events. This course is intended for graduatelevel students earning a master's degree in Mathematics, Physics, Economics, Engineering or a related field. Prior coursework in differential equations and other advanced mathematical topics is encouraged for all students considering this course.

Quantum Computation OpenCourseWare: A Free Online Graduate Study Course on Quantum Computation by MIT
The Massachusetts Institute of Technology offers this OpenCourseWare entitled 'Quantum Computation.' The idea behind quantum computing is that quantum properties are used to represent and manipulate huge amounts of information in a minimal amount of time. The information covered in this graduatelevel course will prove useful to students interested in research in disciplines, such as mathematics, computer science or students enrolled in degree programs, such as the Master of Science degree in Physics.

Random Matrix Theory and Its Applications OpenCourseWare: A Free MIT Graduate Level Course on Random Matrix Theory
This free course entitled, 'Random Matrix Theory and Its Applications,' is offered courtesy of MIT's OpenCourseWare program. The goal of this course is to examine how engineers and research scientists have applied random matrix theories across the disciplines of mathematics, engineering, physics and statistics. The course is recommended for graduate students interested in the application of cuttingedge mathematical theories.

Random Walks and Diffusion OpenCourseWare: A Free MIT Graduate Study Mathematics Course
'Random Walks and Diffusion' is an OpenCourseWare that is provided by MIT. It focuses on an advanced subject that investigates discrete random walks and continuum diffusion from a mathematical perspective. The advanced contents of this course necessitates that participants have a background in probability, partial differential equations and computer programming. This course is ideal for graduatelevel students studying Mathematics or Physics.

Simplicity Theory OpenCourseWare: A Free Graduate Level Course by MIT on the Study of Model Theory
'Simplicity Theory' is a free OpenCourseWare that is offered by the Massachusetts Institute of Technology. This advanced course in model theory, is concerned with the basic nature, function and growth of formal models. Graduate students earning master's degrees in Mathematics or those interested in applying the theories taught in this course will benefit the most.

Special Topics in Mathematics with Applications (Linear Algebra and the Calculus of Variations) OpenCourseWare: A Free MIT GradLevel Course
Study special mathematical topics, including linear transformations, orthogonal curvilinear coordinates and calculus of variations in this free OpenCourseWare offered by the Massachusetts Institute of Technology (MIT). 'Special Topics in Mathematics with Applications (Linear Algebra and the Calculus of Variations)' discusses topics not typically covered in a mathematical curriculum and provides relevant mechanical engineering applications. This course requires previous graduatelevel math courses for success.