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.

Detailed examination of current topics in Mathematics.

Linear algebra: Vector and inner product spaces, linear operators, eigenvalue problems; Vector calculus: Review of differential and integral calculus, divergence and Stokes' theorems. Ordinary differential equations: Linear equations, Sturm-Liouville theory and orthogonal functions, system of linear equations; Methods of mathematics for science and engineering students.

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.

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.

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.

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.

Foundations of two, three and four dimensional design. Interdisciplinary approach in visualising ideas. Interaction of text and image, color and sound, form and content, harmony and chaos, time and movement. Experiments on artistic research, conceptualizing, collaboration, presentation. Use of traditional and new materials.

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.

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.

Study of techniques and technologies on designing presentations for the Internet. Creating interactive web content. Designing web graphics and animations.

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.

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.

Major concepts and theories related to film and cinema; formal aspects of film that constitute the ?language? of the medium (i.e., narrative, cinematography, mise-en-scene, editing, sound); and history of filmmaking. Analysis of social, political and cultural contexts for different styles. Issues in film theory (e.g., auteurism), the political economy of the film industry, and discussion of conditions under which films are produced.

Basic concepts of time-based visual media with an emphasis on the perception and experience of moving images, kinesics, and the structure and aesthetics of cinematic language. Use of camera and audio-recording devices.