Mathematics from MIT

Disusun Ulang Oleh:

Arip Nurahman

(Indonesia University of Education & MIT Open Course Ware, Cambridge MA. U.S.A.)

$A vertical jet is deflected into a horizontal sheet by a horizontal impactor.$

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.

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.

Department of Mathematics links

Visit the MIT Department of Mathematics home page at:
http://www-math.mit.edu/

Review the MIT Department of Mathematics curriculum at:
http://ocw.mit.edu/OcwWeb/web/resources/curriculum/index.htm#18

In addition to courses, supplementary mathematics resources are also available. Various MIT faculty are openly sharing these resources as a service to MIT OCW users. The resources include calculus textbooks by Professors Gilbert Strang and Daniel Kleitman.
http://ocw.mit.edu/OcwWeb/web/resources/supplemental/index.htm

Available Courses

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Undergraduate Courses

MIT Course #	Course Title	Term
18.01	Single Variable Calculus	Fall 2006
18.01	Single Variable Calculus	Fall 2005
18.013A	Calculus with Applications	Spring 2005
18.014	Calculus with Theory I	Fall 2002
18.02	Multivariable Calculus	Fall 2007
18.02	Multivariable Calculus	Spring 2006
18.022	Calculus	Fall 2005
18.024	Calculus with Theory II	Spring 2003
18.03	Differential Equations	Spring 2006
18.034	Honors Differential Equations	Spring 2004
18.034	Honors Differential Equations	Spring 2007
18.04	Complex Variables with Applications	Fall 2003
18.04	Complex Variables with Applications	Fall 1999
18.05	Introduction to Probability and Statistics	Spring 2005
18.06	Linear Algebra	Spring 2005
18.062J	Mathematics for Computer Science	Fall 2005
18.062J	Mathematics for Computer Science	Spring 2005
18.062J	Mathematics for Computer Science (SMA 5512)	Fall 2002
18.06CI	Linear Algebra - Communications Intensive	Spring 2004
18.091	Mathematical Exposition	Spring 2005
18.098	Street-Fighting Mathematics	January (IAP) 2008
18.100A	Analysis I	Fall 2007
18.100B	Analysis I	Fall 2006
18.100C	Analysis I	Spring 2006
18.101	Analysis II	Fall 2005
18.103	Fourier Analysis - Theory and Applications	Spring 2004
18.104	Seminar in Analysis: Applications to Number Theory	Fall 2006
18.112	Functions of a Complex Variable	Fall 2006
18.152	Introduction to Partial Differential Equations	Fall 2005
18.152	Introduction to Partial Differential Equations	Fall 2004
18.238	Geometry and Quantum Field Theory	Fall 2002
18.303	Linear Partial Differential Equations	Fall 2006
18.304	Undergraduate Seminar in Discrete Mathematics	Spring 2006
18.310C	Principles of Applied Mathematics	Fall 2007
18.311	Principles of Applied Mathematics	Spring 2006
18.312	Algebraic Combinatorics	Spring 2005
18.314	Combinatorial Analysis	Fall 2005
18.330	Introduction to Numerical Analysis	Spring 2004
18.337J	Applied Parallel Computing (SMA 5505)	Spring 2005
18.353J	Nonlinear Dynamics I: Chaos	Fall 2006
18.361J	Introduction to Modeling and Simulation	Spring 2006
18.400J	Automata, Computability, and Complexity	Spring 2005
18.410J	Introduction to Algorithms (SMA 5503)	Fall 2005
18.413	Error-Correcting Codes Laboratory	Spring 2004
18.433	Combinatorial Optimization	Fall 2003
18.440	Probability and Random Variables	Fall 2005
18.443	Statistics for Applications	Fall 2006
18.443	Statistics for Applications	Fall 2003
18.700	Linear Algebra	Fall 2005
18.701	Algebra I	Fall 2007
18.702	Algebra II	Spring 2008
18.704	Seminar in Algebra and Number Theory: Rational Points on Elliptic Curves	Fall 2004
18.781	Theory of Numbers	Spring 2003
18.901	Introduction to Topology	Fall 2004
18.904	Seminar in Topology	Fall 2005
18.950	Differential Geometry	Spring 2005
18.994	Seminar in Geometry	Fall 2004
18.996VP	General Relativity and Gravitational Radiation	Fall 2002
18.S34	Problem Solving Seminar	Fall 2007
18.S66	The Art of Counting	Spring 2003

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Graduate Courses

MIT Course #	Course Title	Term
18.075	Advanced Calculus for Engineers	Fall 2004
18.085	Computational Science and Engineering I	Fall 2007
18.086	Mathematical Methods for Engineers II	Spring 2006
18.094J	Teaching College-Level Science	Spring 2006
18.117	Topics in Several Complex Variables	Spring 2005
18.125	Measure and Integration	Fall 2003
18.155	Differential Analysis	Fall 2004
18.156	Differential Analysis	Spring 2004
18.175	Theory of Probability	Spring 2007
18.305	Advanced Analytic Methods in Science and Engineering	Fall 2004
18.306	Advanced Partial Differential Equations with Applications	Spring 2004
18.307	Integral Equations	Spring 2006
18.315	Combinatorial Theory: Hyperplane Arrangements	Fall 2004
18.315	Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics	Spring 2005
18.318	Topics in Algebraic Combinatorics	Spring 2006
18.319	Geometric Combinatorics	Fall 2005
18.325	Topics in Applied Mathematics: Mathematical Methods in Nanophotonics	Fall 2005
18.327	Wavelets, Filter Banks and Applications	Spring 2003
18.335J	Introduction to Numerical Methods	Fall 2004
18.335J	Introduction to Numerical Methods	Fall 2006
18.336	Numerical Methods of Applied Mathematics II	Spring 2005
18.338J	Infinite Random Matrix Theory	Fall 2004
18.366	Random Walks and Diffusion	Fall 2006
18.376J	Wave Propagation	Fall 2006
18.377J	Nonlinear Dynamics and Waves	Spring 2007
18.385J	Nonlinear Dynamics and Chaos	Fall 2004
18.404J	Theory of Computation	Fall 2006
18.405J	Advanced Complexity Theory	Fall 2001
18.409	Behavior of Algorithms	Spring 2002
18.415J	Advanced Algorithms	Fall 2001
18.415J	Advanced Algorithms	Fall 2005
18.416J	Randomized Algorithms	Fall 2002
18.417	Introduction to Computational Molecular Biology	Fall 2004
18.426J	Advanced Topics in Cryptography	Spring 2003
18.435J	Quantum Computation	Fall 2003
18.437J	Distributed Algorithms	Fall 2005
18.465	Topics in Statistics: Nonparametrics and Robustness	Spring 2005
18.465	Topics in Statistics: Statistical Learning Theory	Spring 2007
18.466	Mathematical Statistics	Spring 2003
18.725	Algebraic Geometry	Fall 2003
18.727	Topics in Algebraic Geometry: Intersection Theory on Moduli Spaces	Spring 2006
18.755	Introduction to Lie Groups	Fall 2004
18.785	Analytic Number Theory	Spring 2007
18.786	Topics in Algebraic Number Theory	Spring 2006
18.905	Algebraic Topology	Fall 2006
18.906	Algebraic Topology II	Spring 2006
18.917	Topics in Algebraic Topology: The Sullivan Conjecture	Fall 2007
18.965	Geometry of Manifolds	Fall 2004
18.966	Geometry of Manifolds	Spring 2007
18.969	Topics in Geometry	Fall 2006
18.996	Random Matrix Theory and Its Applications	Spring 2004
18.996	Topics in Theoretical Computer Science : Internet Research Problems	Spring 2002
18.996A	Simplicity Theory	Spring 2004
18.997	Topics in Combinatorial Optimization	Spring 2004