Linear Algebra
PANAGIOTIS VLAMOS - Undergraduate -
(A-)
Department of Informatics, Ionian University
Cartesian products, Relations, Algebraic structures, Tables, Matrix operations, Reverse Matrix, Inverse Matrix. Determinants and their properties, Linear systems, Gauss method, Gauss - Jordan method, Systems solved with the use of inverse matrix, Cramer method, Vector spaces, Kernel and Image of linear mappings, Eigenvalues and eigenvectors, Matrix diagonalization, Applications in Informatics.
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Aim and scope of AI. Historical data. Problem Solving. Search. Blind and informed Search. Adversarial Search. Propositional Logic. Predicate Logic. Reasoning and Resolution. Knowledge Representation. Semantic Networks. Conceptual Graphs. Machine Learning, Instance-based Learning, Decision Trees, Stochastic Learning. The Weka Machine Learning Toolkit. Expert Systems. The CLIPS Production System Language. Applications of AI.
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STATISTICS
MARKOS AVLONITIS - Undergraduate -
(A-)
DEPARTMENT OF INFORMATICS, Ionian University
Sampling theory, Random samples, Random numbers. Description of statistical data with arrays and graphics, Frequency array, Histogram. Analysis of Variance. Correlation coefficient. Confidence intervals, Statistical hypothesis-testing process. Regression. Statistical software.
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Databases II
Spyros Sioutas - Undergraduate -
(A-)
Department of Informatics, Ionian University
Advanced SQL - PL SQL. Object-oriented and object-relational systems. File storage and Indexing (B-trees, B+ trees, Hashing, BitMap). Query processing and optimization. Transaction management and concurrency control. Recovery techniques. Parallel and distributed DBMSs. Spatio-Temporal and Multimedia DBMSs. Advanced topics.
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Simulation and Modelling
Panayiotis, Markos Vlamos, Avlonitis - Undergraduate -
(A-)
Department of Informatics, Ionian University
Dynamical systems. Theoretical models and modeling strategies. Evolution in time and space. Scale effects and multi-scale modeling. Explicit models for computer science and natural hazards. Queueing Theory. Fundamental Concepts of Queueing. TheoryThe M/M/1 Queue. The powerfulness of Simulation. Simulation strategies. Effective simulation codes for explicit theoretical models. Simulation of deterministic and stochastic dynamic systems. Analysis of simulation results and evaluation.
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Introduction to Digital Image Processing, Digital Image Representation, Digital Image Processing Systems, Digital Image Capture, Segmentation and Automatic Image Alignment, Feature Extraction and Image Analysis, Line Detection, Structure, Shape, Texture, Matching, Ranking, Digital Image Compression, Edge Detection Algorithms, Methodologies for the Design of Digital Filters, Optimal Linear Filters, Adaptive Filters, Human Vision Elements, Image Models, Sampling and Quantization, Image Transformation: Fourier Transform, DFT, FFT, Walsh, Hadamard, DCT, Hotelling, Hough, Picture Enhancement: Histogram Modification, Smoothing, Sharpening, Digital Image Restoring: Deterioration Model, Algebraic Method, Inverse Filtering.
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Dynamic Web Applications
Andreas Giannakoulopoulos - Undergraduate -
(A-)
DEPARTMENT OF AUDIO & VISUAL ARTS, Ionian University
The Internet expansion and especially the extensive post content on the Web have stimulated the development of technologies for creating dynamic applications that enable the implementation of complex interactive environments and easy content management. Advanced applications, such as content management platforms, distance education digital systems, and social networking sites are included, among others, in the wide range of dynamic Internet applications that have a direct impact on the ways of content publication and distribution. In the course, PHP language for creating applications is taught, and insights into the MySQL database management system for storing and retrieving content are provided, the main educational objective being the capacity for developing, managing and evaluating dynamic applications that run in the Web environment.
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Aim and scope of AI. Historical data. Problem Solving. Search. Blind and informed Search. Adversarial Search. Propositional Logic. Predicate Logic. Reasoning and Resolution. Knowledge Representation. Semantic Networks. Conceptual Graphs. Machine Learning, Instance-based Learning, Decision Trees, Stochastic Learning. The Weka Machine Learning Toolkit. Expert Systems. The CLIPS Production System Language. Applications of AI.
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Calculus
Panayiotis Vlamos - Undergraduate -
(A-)
Department of Informatics, Ionian University
Basic Sets, Real Numbers - Axioms of Real numbers - Euclidean spaces, Sequences, Monotony, Subsequence, Convergence, Numerical Series, Convergence Criteria: Absolute and Relative Convergence, Telescopic Series, Limit, Continuity, Derivative, Basic Theorems of Differential Calculus, Convexity, Taylor Theorem, Taylor Series, Power series, Integral, Beta and Gamma Functions, Applications of Integrals, Differential Equations, Functions of several Variables, Limit and Continuity - Partial Derivative, Extrema, Completion, Multiple Integration, Change of Variables, Fourier Theory, FFT.
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Computer Graphics
Phivos Mylonas - Undergraduate -
(A-)
Department of Informatics, Ionian University
Basic concepts of computer graphics and applications. Knowledge representation, production and display of three-dimensional data. Transformations and Coordinate Systems. Lighting and color. Texture mapping and applications. Algorithms shading objects. Data structures and application to imaging acceleration. Particle systems (particles). Fundamentals motion (animation). Architectural Design Graphics, Programming graphics processors using vertex and pixel shaders. Graphics API (DirectX and OpenGL). Advanced imaging techniques in programmable graphics processors.
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