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
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