Completeness axiom for real numbers; convergent sequences; compactness; continuous functions; differentiation; linear and topological structure of Euclidean spaces; limit, compactness and connectedness in a Euclidean space; continuity and differentiation of functions of several variables; inverse and implicit function theorems.

Descriptive statistics; Probability; Random variables; Special distributions; Estimation; Hypothesis testing; Normal distribution; Two-Sample Inference; Regression.

Normed and Banach spaces; linear operators; duality; inner product and Hilbert spaces; Riesz representation theorem; Hahn-Banach theorem; uniform boundedness principle; open mapping theorem; strong, weak and weak* convergence.

Review of vector calculus; Fourier series and Fourier transform; Calculus of functions of a complex variable.

Series expansions of chemical properties with applications in chemical thermodynamics, quantum chemistry, chemical kinetics and statistical thermodynamics. Curve fitting to experimental data with the least square fitting, optimization and Monte Carlo method. Interpolation/extrapolation of numerical data. Solutions of one-dimensional nonlinear equations. Numerical differentiation and integration methods. Ordinary differential equations: Linear, nonlinear with constant coefficients, power series solutions. Solutons of linear set of equations. Eigenvalue equations in quantum chemistry.

Complex numbers and functions; exponential and trigonometric functions; infinite series and products; limits, continuity and derivatives of complex functions; Cauchy’s theorem; Taylor and Laurent series; conformal mapping.

Topological spaces, subspaces, continuous functions, base for a topology, separation axioms, compactness, locally compact spaces, connectedness, path connectedness, finite product spaces, set theory and Zorn?s lemma, infinite product spaces, quotient spaces, homotopic paths, the fundamental group,induced homomorphisms, covering spaces, applications of the index, homotopic maps, maps into the punctured plane, vector fields, the Jordan curve theorem.

Detailed examination of current topics in Mathematics.

Development and analysis of numerical methods for ODEs, an introduction to numerical optimization methods, and an introduction to random numbers and Monte Carlo simulations. The course starts with a short survey of numerical methods for ODEs. The related topics include stability, consistency, convergence and the issue of stiffness. Then it moves to computational techniques for optimization problems arising in science and engineering. Finally, it discusses random numbers and Monte Carlo simulations. The course combines the theory and applications (such as programming in MATLAB) with the emphasis on algorithms and their mathematical analysis.

Normed and Banach spaces, Lp-spaces and duals, Hahn-Banach theorem, Baire category and uniform boundedness theorems, strong, weak and weak*-convergence, open mapping theorem, closed graph theorem.

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.

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.

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.

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.

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.

Role of marketing research in the firm and the research process. In-depth examination and application of the research process which includes formulation of research problems, research designs, sampling issues, data collection, and analysis.

Focuses on planning and evaluating advertising and other types of promotion strategies and executions. Specific topics include integrated marketing communications, strategic planning, creative brief, perspectives on consumer behavior and communication process, creative strategy, media planning and measuring effectiveness.