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#### 18.319 Geometric Combinatorics (MIT) More OCW like this | |
Share in:       This course offers an introduction to discrete and computational geometry. Emphasis is placed on teaching methods in combinatorial geometry. Many results presented are recent, and include open (as yet unsolved) problems.

#### Topics in Theoretical Computer Science: An Algorithmist's Toolkit More OCW like this | |
Share in:       This course covers a collection of geometric techniques that apply broadly in modern algorithm design.

#### Nonlinear Dynamics and Chaos More OCW like this | |
Share in:       This graduate level course focuses on nonlinear dynamics with applications. It takes an intuitive approach with emphasis on geometric thinking, computational and analytical methods and makes extensive use of demonstration software.

#### Functions of a Complex Variable More OCW like this | |
Share in:       This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I (18.100B) is a prerequisite, topological notions like compactness, connectedness, and related properties of continuous functions are taken for granted. This course offers biweekly problem sets with sol

#### Topics in Geometry: Mirror Symmetry More OCW like this | |
Share in:       This course will focus on various aspects of mirror symmetry. It is aimed at students who already have some basic knowledge in symplectic and complex geometry (18.966, or equivalent). The geometric concepts needed to formulate various mathematical versions of mirror symmetry will be introduced along the way, in variable levels of detail and

#### An introduction to complex numbers More OCW like this | |
Share in:       This unit looks at complex numbers. You will learn how they are defined, examine their geometric representation and then move on to looking at the methods for finding the nth roots of complex numbers and the solutions to simple polynominal equations.

#### Modelling displacements and velocities More OCW like this | |
Share in:       In this unit you will see first how to convert vectors from geometric form, in terms of a magnitude and direction, to component form, and then how conversion in the opposite sense is accomplished. The ability to convert between these different forms of a vector is useful in certain problems involving displacement and velocity, as sho

#### Combinatorial Theory: Hyperplane Arrangements More OCW like this | |
Share in:       This is a graduate-level course in combinatorial theory. The content varies year to year, according to the interests of the instructor and the students. The topic of this course is hyperplane arrangements, including background material from the theory of posets and matroids.

#### Probability and Random Variables More OCW like this | |
Share in:       This course introduces students to probability and random variables. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, normal, gamma and beta distributions; conditional probability; Bayes theorem; joint distributions; Chebyshev inequality

#### Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic Geometry More OCW like this | |
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