Advanced Mathmatics

Mode of Delivery

e-course

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

Series, Power series, Taylor-Maclaurin expansions, solutions of ordinary differential equations by power series, Fourier transform, Factorial function, Gamma function and its properties, applications of Gamma function, Beta function and its properties, applications of Beta function, Error function and its properties, Complementary Error function and its applications, applications of Error and Complementary Error functions.

Weekly Schedule

1) Series, power series, Taylor-Maclaurin expansions.
2) solution of ordinary differential equations by power series.
3) the solution for ordinary point
4) the solution for regular point
5) Fourier series, Fourier series of periodic functions with period 2*pi
6) Fourier series for odd and even functions
7) Fourier series of periodic functions with period L
8) Midterm examination/Assessment
9) Fourier series of non-periodic functions
10) Complex Fourier series
11) Factorial function, Gamma function
12) the properties of Gamma function
13) applications of Gamma function
14) Beta function and its properties
15) properties and applications of Error and Complementary Error functions
16) Final examination

Recommended or Required Reading

1- Diferansiyel denklemler ve uygulamaları; Mehmet Aydın
2- Kompleks Fonksiyonlar Teorisi; Turgut Başkan
3- Diferansiyel denklemler; A. Neşe Dernek ; Ahmet Dernek

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Drill and Practice
4) Group Study
5) Self Study
6) Problem Solving

Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade	30%
Contribution of Final Examination to Course Grade	70%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required