UNIVERSITY OF IOANNINA SCHOOL OF SCIENCES DEPARTMENT OF MATHEMATICS COURSES OUTLINE UNDERGRADUATE STUDIES [1] TABLE OF CONTENTS ΜΑΥ111 – INFINITESIMAL CALCULUS I ...................................................................................................... 5 ΜΑΥ112 – FUNDAMENTAL CONCEPTS OF MATHEMATICS ....................................................................... 9 ΜΑΥ121 – LINEAR ALGEBRA I .................................................................................................................. 12 MAY123 – NUMBER THEORY................................................................................................................... 15 ΜΑΥ211 – INFINITESIMAL CALCULUS II ................................................................................................... 18 MAY221 – LINEAR ALGEBRA II ................................................................................................................. 21 MAY223 – ANALYTIC GEOMETRY ............................................................................................................ 24 MAY242 – INTRODUCTION TO COMPUTERS ........................................................................................... 27 MAY311 – INFINITESIMAL CALCULUS III .................................................................................................. 31 ΜΑΥ331 – INTRODUCTION TO PROBABILITY .......................................................................................... 34 MAY341 – INTRODUCTION TO NUMERICAL ANALYSIS ........................................................................... 37 MAY343 – INTRODUCTION TO PROGRAMMING ..................................................................................... 40 MAY411 – INFINITESIMAL CALCULUS IV ................................................................................................. 43 MAY413 – INTRODUCTION TO TOPOLOGY ............................................................................................. 47 MAY422 – ALGEBRAIC STRUCTURES I ..................................................................................................... 51 ΜΑΕ431 – INTRODUCTION TO STATISTICS .............................................................................................. 54 MAY514 – INTRODUCTION TO DIFFERENTIAL EQUATIONS .................................................................... 57 MAY522 – ELEMENTARY DIFFERENTIAL GEOMETRY ............................................................................... 60 MAΥ611 – COMPLEX FUNCTIONS I.......................................................................................................... 63 MAY648 – CLASSICAL MECHANICS .......................................................................................................... 66 MAE501 – HISTORY OF MATHEMATICS .................................................................................................. 69 MAE511 – REAL ANALYSIS ....................................................................................................................... 72 MAE513 – ELEMENTS OF GENERAL TOPOLOGY ...................................................................................... 75 MAE525 – GROUP THEORY ..................................................................................................................... 78 MAE526 – GROEBNER BASES .................................................................................................................. 81 ΜΑΕ531 – THEORY OF PROBABILITY AND STATISTICS ........................................................................... 84 ΜΑΕ532 – STOCHASTIC PROCESSES ........................................................................................................ 87 MAE541 – DATA STRUCTURES ................................................................................................................ 90 MAE542 – INTRODUCTION TO COMPUTATIONAL COMPLEXITY ............................................................ 94 MAE543 – APPLIED TENSOR ANALYSIS.................................................................................................... 97 MAE544 – LOGIC PROGRAMMING ........................................................................................................ 100 MAE545 – NUMERICAL LINEAR ALGEBRA ............................................................................................. 103 MAE546 – BIOMATHEMATICS ............................................................................................................... 106 [2] MAE613 – INTEGRAL EQUATIONS ......................................................................................................... 109 MAE614 – DIFFERENTIAL EQUATIONS I ................................................................................................ 112 MAE615 – TOPICS IN REAL ANALYSIS .................................................................................................... 115 MAE616 – MEASURE THEORY ............................................................................................................... 118 MAE622 – DIFFERENTIABLE MANIFOLDS .............................................................................................. 121 MAE623 – GEOMETRY OF TRANSFORMATIONS ................................................................................... 124 MAE624 – ELEMENTARY GLOBAL DIFFERENTIAL GEOMETRY ............................................................... 127 MAE627 – ALGEBRAIC CURVES ............................................................................................................. 130 MAE628 – MODULES, RINGS AND APPLICATIONS ................................................................................ 133 ΜΑΕ631 – LINEAR PROGRAMMING ...................................................................................................... 136 ΜΑΕ633 – STATISTICAL INFERENCE ...................................................................................................... 139 MAE634 – QUEUEING THEORY .............................................................................................................. 142 MAE641 – DESIGN AND ANALYSIS OF ALGORITHMS ............................................................................ 145 MAE642 – NUMERICAL ANALYSIS ......................................................................................................... 148 MAE644 – INTRODUCTION TO SYMBOLIC MATHEMATICS ................................................................... 151 MAE645 – APPROXIMATION THEORY ................................................................................................... 155 MAE646 – TECHNIQUES OF MATHEMATICAL MODELLING .................................................................. 158 MAE647 – OBJECT ORIENTED PROGRAMMING .................................................................................... 161 MAE649 – ICT IN EDUCATION ............................................................................................................... 164 MAE711 – FUNCTIONAL ANALYSIS I ...................................................................................................... 167 MAE713 – PARTIAL DIFFERENTIAL EQUATIONS .................................................................................... 170 MAE714 – SET THEORY .......................................................................................................................... 173 MAE718 – HARMONIC ANALYSIS .......................................................................................................... 176 MAE722 – RIEMANNIAN GEOMETRY .................................................................................................... 179 MAE723 – SPECIAL TOPICS IN ALGEBRA ............................................................................................... 182 MAE725 – RING THEORY ....................................................................................................................... 185 MAE727 – EUCLIDEAN AND NON EUCLIDEAN GEOMETRIES ................................................................ 188 MAE728 – DIFFERENTIABLE MANIFOLDS .............................................................................................. 191 MAE729 – TOPOLOGICAL MATRIX GROUPS .......................................................................................... 194 ΜΑΕ731 – DECISION THOERY - BAYESIAN THEORY ............................................................................... 197 MAE732 – TOPICS IN OPERATIONS RESEARCH ..................................................................................... 200 ΜΑΕ733 – REGRESSION AND ANALYSIS OF VARIANCE ......................................................................... 203 MAE734 – PRODUCTION PLANNING AND INVENTORY CONTROL ........................................................ 206 MAE741 – DATABASE SYSTEMS AND WEB APPLICATIONS DEVELOPMENT ......................................... 209 [3] MAE742 – INTRODUCTION TO COMPUTATIONAL MATHEMATICS ....................................................... 212 MAE743 – INTRODUCTION TO MATHEMATICAL PHYSICS .................................................................... 215 MAE744 – NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS .................................... 218 MAE745 – AUTOMATA THEORY AND FORMAL LANGUAGES ................................................................ 221 MAE746 – GRAPH THEORY .................................................................................................................... 224