Ders Programı
Transkript
Ders Programı
DISCRETE DYNAMICAL SYSTEMS BAHAR OKULU Ayrıntılı Ders Programı (9 Mayıs-19 Mayıs 2014) No Ders Verecek Öğretim Üyesinin Adı ve Soyadı Ders Programı (Gün ve Saat) Anlatacağı Konu Başlıkları Vereceği Toplam Ders Saati Ek1 1 Prof.DrSaber ELAYDİ 9 Mayıs Cuma-19 Mayıs Pazar her gün : 9:00-11:50 30 Ek2 2 Prof.Dr.Ünal Ufuktepe 10,17 Mayıs Cumartesi 14:00-:16:50 11, 18 Mayıs Pazar 14:00-16:50 Genel Toplam Ders Saati 12 42 EK1. Course Title: Discrete Dynamical systems Text: Elaydi, Discrete Chaos, Second Edition, CRC/ Chapman &Hall, 2008 Course Description: This course will cover the mathematics behind the dynamics of discrete systems and difference equations. In the past, mathematics was learned only through theoretical means. In today's computer age, students are now able to enjoy mathematics through experimental means. Using numerous computer projects, the student will discover many properties of discrete dynamical systems. In addition, the student will also get to understand the mathematics behind the beautiful images created by fractals. GÜN ve KONU BAŞLIKLARI (Days/Topics):: 9 Mayıs, 2014 Cuma (Fr):Real function iteration, Converging and Diverging sequences, Periodic and chaotic sequences, 10 Mayıs Cumartesi (Sa): Fixed-points, periodic-points and critical point theories, 11 Mayıs Pazar (Su): Bifurcations and period-doubling transitions to chaos, 12 Mayıs Pazartesi(Mo): Symbolic dynamics, Sharkovsky's theorem, Fractals, Complex function iterations, Julia and Mandelbrot sets. 13 Mayıs Salı(Tu): Stability of two dimensional maps 14 Mayıs Çarşamba(We): Stability of two dimensional maps 15 Mayıs Perşembe (Th): Stability of two dimensional maps 16 Mayıs Cuma (Fr): Bifurcation and Chaos in Two Dimensions 17-18 Mayıs Ctesi-Pazar (St-Su):Throughout the course, applications to: Finance, Population Growth, Finding roots, Differential Equations, Controls, Game and Graph Problems, Networks, Counting Problems and other real-world systems will be addressed. EK 2. 10-11 Mayıs Ctesi-Pazar (St-Su): Introduction to Mathematica 17-18 Mayıs Ctesi-Pazar (St-Su): Applications of Discrete Dynamical Systems with Mathematica