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Introduction to computer-based problem solving from the perspective of the business world. Design of algorithms for solving business problems. Basics of computer programming in a modern programming language. Solving business problems using application packages including spreadsheets and databases. Basics of web design.

Using open source software. Introduction to computer based problem solving for scientific applications. Design of algorithms and algorithms descriptions. Modular and object-oriented programming.

Problem solving and algorithm development. Use of application, communication, and database software. Utilisation de logiciel libre. Conception et description des algorithmes.

Le traitement de l'information et les ordinateurs. Introduction aux concepts de la programmation. Discrete structures as they apply to computer science, algorithm analysis and design. Review of proof techniques; application of induction to computing problems. Graph theory applications in information technology. Program correctness, preconditions, postconditions and invariants.

Analysis of recursive programs using recurrence relations. Properties of integers and basic cryptographical applications. The concept of abstract data types. Simple methods of complexity analysis. Graphs and simple graph algorithms: Strings and pattern matching.

Presentation of the major programming paradigms: Related programming languages, their essential properties and typical applications. Programming in imperative, logic and functional languages. Influence of programming paradigms on problem solving and program design strategies. An overview of other paradigms, such as constraint-based, rule-based and event-driven programming. Discussion Group, Laboratory, Lecture. Relational algebra and relational calculus.

Database definition and manipulation using SQL. Functional dependencies and normalization. Introduction to physical database design. Design and implementation of a database application in a team project. Pointers and memory management. Templates and the Standard Template Library. Analyse et conception des algorithmes. Applications en technologie de l'information. Justesse des programmes correction.

Graphes et algorithmes simples pour graphes: Laboratoire, Cours magistral, Tutoriel. Tutoriel, Laboratoire, Cours magistral. Social impact of computing. Privacy and legal issues. Regular languages, finite automata, transition graphs Kleene's theorem. Finite automata with output. Context-free languages, derivation trees, normal form grammars, pumping lemma, pushdown automata, determinism. Recursively enumerable languages, Turing machines, the halting problem.

Computational complexity of problems: Design and evaluation criteria for programming languages. Introduction to syntactic and semantic description of programming languages. Basics of programming language implementation. A comparison of design choices across programming paradigms: Advanced physical database design. Access right, privacy and security. Query processing and optimization. Transaction processing, concurrency control and recovery. Design and implementation of a database component in a team project.

Principles of operating systems. Operating systems design issues. Process management, process scheduling, concurrency issues. Examples of operating systems. Basic infrastructure of the Web. WWW Contents and presentation. Web pages, their structuring and interpretation.

Web interfaces to software and databases. Cookies and privacy issues. Semantic Web and o ontologies. Analyse des cas moyens et du pire cas. Techniques de conception d'algorithmes: Comparaison de choix de conception selon le paradigme de programmation: Gestion des processus, ordonnancement des processus et concurrence.

Infrastructure de base du Web. Architecture de moteur de recherche. Recursive functions, recursively enumerable sets, decision problems, Church-Turing thesis. S-M-N theorem, recursion theorem. Lambda calculus, formal languages, logic complexity theory.

Permission of the School. Permission of the Department is required. Theory of NP-completeness, methods for dealing with NP-complete problems. Selected topics in such areas as combinatorial optimization, computational geometry, cryptography, parallel algorithms. The roots and scope of Artificial Intelligence. Knowledge and knowledge representation. Search, informed search, adversarial search. Uncertainty in Artificial Intelligence. Introduction to Natural Language Processing.

Basics of Machine Learning. Basic principles of Information Retrieval. Linguistic aspects of Information Retrieval. Agents and artificial intelligence approaches to Information Retrieval. Browser and server side programming for Information Retrieval. The notion of secure communication. Building secure cryptosystems based on the assumption of computational hardness. Computational indistinguishable and unpredictability.

Digital signature and message authentication. Application to e-commerce and e-trade. Design and analysis of distributed algorithms.