Review of elementary probability; multivariate random variables and their functions; conditional distribution and expectation; generating functions and transforms; order statistics; multivariate normal distribution; types of convergence; laws of large numbers; central limit theorem.

Finite-dimensional real and complex vector spaces, bases of a vector space, linear maps, dual spaces, quadratic forms, self-adjoint and unitary transformations, eigenvalue problem, canonical form of a linear transformation, tensors, and applications.

A graduate level introduction to matrix-based computing. Stable and efficient algorithms for linear equations, least squares and eigenvalue problems. Both direct and iterative methods are considered and MATLAB is used as a computing environment.

Free groups, group actions, group with operators, Sylow theorems, Jordan-Hölder theorem, nilpotent and solvable groups. Polynomial and power series rings, Gauss?s lemma, PID and UFD, localization and local rings, chain conditions, Jacobson radical.

Lebesgue measure and Lebesgue integration on Rn, general measure and integration, decomposition of measures, Radon-Nikodym theorem, extension of measures, Fubini's theorem.

Fundamental group, Seifert-van Kampen theorem, CW complexes, covering spaces and deck transformations; simplicial and singular homology, homotopy invariance, exact sequences and excision, cellular homology, Mayer-Vietoris sequences; cohomology, universal coefficient theorem, cup product, Kunneth formula, orientation, Poincare duality.

Introductory overview of contemporary mass media systems and an examination of the various factors -historical, economic, political, and cultural- that have shaped their development. Components of culture industries such as the Internet, radio, television, cinema, newspapers and journalism, advertising, and public relations. Investigation of theories and research related to media effects.

Introductory overview of contemporary mass media systems and an examination of the various factors -historical, economic, political, and cultural- that have shaped their development. Components of culture industries such as the Internet, radio, television, cinema, newspapers and journalism, advertising, and public relations. Investigation of theories and research related to media effects.

Foundations of visual language. Introduction to the principles and elements of design. Control of line, shape, space, texture, color, composition and sequence to convey a message. Strategic exercises to channel design to an interdisciplinary level. Studio practice, theory, critique, exhibition.

Foundations of visual language. Introduction to the principles and elements of design. Control of line, shape, space, texture, color, composition and sequence to convey a message. Strategic exercises to channel design to an interdisciplinary level. Studio practice, theory, critique, exhibition.

Studio practice in classical and contemporary drawing. Learning to look and sketch. Convey the illusion of light, depth and texture on paper. Building skills for composition, expression and abstraction. Experimenting with various materials.

Introduction to visual communication design in an interactive media environment: visualizing a catchword, visualizing actions referring to interface design, making a visual design by creating clever remark between object and a concept, creating interest on a point using non-textual visual metaphors, visualizing the relation between linear and non-linear structures.

Intensive writing practice for a variety of media formats. Different conventions of writing for print media, radio, and television. Class structure, assignments, and timed writing exercises are designed to simulate a working media environment.

Graphic design and image editing skills through the use of creative software. Use of design principles and techniques as well as visual and graphic design software.

Graphic design and image editing skills through the use of creative software. Use of design principles and techniques as well as visual and graphic design software.

Fundamentals of digital video camera skills such as framing and exposure as well as guidelines of non-linear digital editing, such as montage, parallel editing, transitions, editing to sound and exporting for various platforms. Multiple hands on exercises with camera and final short video production.

Fundamentals of digital video camera skills such as framing and exposure as well as guidelines of non-linear digital editing, such as montage, parallel editing, transitions, editing to sound and exporting for various platforms. Multiple hands on exercises with camera and final short video production.

Brief history of photography from 1839 to the present. Fundamentals of photography from conventional to digital. Methods of image capturing by using correct exposure, lighting and composition techniques. Basic photographic variables such as; aperture, shutter speed and ISO. Introduction to the photographic equipment, materials, processes and philosophy. Ways of seeing are discussed throughout the course.

Brief history of photography from 1839 to the present. Fundamentals of photography from conventional to digital. Methods of image capturing by using correct exposure, lighting and composition techniques. Basic photographic variables such as; aperture, shutter speed and ISO. Introduction to the photographic equipment, materials, processes and philosophy. Ways of seeing are discussed throughout the course.

Introduction to film and its three pillars: storytelling, mise-en-scene, and cinematography. Full analysis of new texts, such as shot, scene or sequence.

How do the contemporary media industries work? How are media companies managed and how does this affect the stock of cultural materials available? How can an analysis of the ?business of entertainment? enable a greater understanding of contemporary media aesthetics and culture? In-depth investigation of the film and animation, broadcasting (television and radio), video gaming, online content production, publishing (newspapers, books, and magazines) industries.

An introduction to the appreciation of and critical debates around the contemporary arts. Engagement with work from artists working in a broad range of media within various settings - galleries, museums, public spaces, and other non-traditional exhibition venues.