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Doktorate Degree > Graduate School of Natural and Applied Sciences > Animal Science (phd) > ADVANCED MATHEMATICS
 
Course unit title Level of course unit Course unit code Type of course unit Semester of course unit Local credit ECTS credit Syllabus
ADVANCED MATHEMATICS Third cycle SHA 501 1 7.50 7.50 Print
   
Description of course unit
Prerequisites and course requisities -
Language of instruction Turkish
Coordinator YRD.DOÇ. DR. MEHMET ERLER
Lecturer(s) YRD.DOÇ. DR. MEHMET ERLER
Teaching assitant(s) -
Mode of delivery Face to face
Course objective It is aimed to develop the mathematical skills of graduate students.
Course description ADVANCED MATHEMATICS

Course contents
1- Linear spaces, linear independence. Linear transformations
2- Matrix representations
3- Eigenvalue problems
4- Characteristic and minimal polynomials
5- Limit, continuity and differentiability of functions of a complex variable
6- Special Functions: Factorial Function, Gamma Function, Beta Function, Error Function, Unit Step Function, Delta Function and Green Functions
7- Midterm
8- Power Series, Taylor and Mclaurin Series
9- Ordinary differential equations and engineering applications
10- Solutions of ordinary differential equations by Laplace Transform
11- Solutions of ordinary differential equations by Fourier Transform and Power Series
12- Vector Functions
13- vector differantial calculus
14- Gradient, Divergence and Rotational
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Learning outcomes of the course unit
1- Explain the concepts of linear transformations
2- Explain the concept of matrix
3- Define the concept of surface
4- Specializes in advanced mathematical methods
5- Develops problem-solving skills
6- Selection and implementation of mathematical methods will have in-depth knowledge
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*Contribution level of the course unit to the key learning outcomes
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Number of stars refer to level of contribution from 1 (the least) to 5 (the most)

Planned learning activities, teaching methods and ECTS work load
  Quantity Time (hour) Quantity*Time (hour)
Lectures (face to face teaching) 14 3 42
Study hours out of classroom (study before and after the class) 10 8 80
Homework 5 3 15
Presentation / seminar 5 3 15
Quiz 5 2 10
Preparation for midterm exams 1 10 10
Midterm exams 1 2 2
Project (term paper) 0 0 0
Laboratuar 0 0 0
Field study 0 0 0
Preparation for final exam 1 10 10
Final exam 1 2 2
Research 0 0 0
Total work load     186
ECTS     7.50

Assessment methods and criteria
Evaluation during semester Quantity Percentage
Midterm exam 1 40
Quiz 0 0
Homework 0 0
Semester total   40
Contribution ratio of evaluation during semester to success   40
Contribution ratio of final exam to success   60
General total   100

Recommended and required reading
Textbook Advanced Mathematichs, Murray R. Spiegel
Additional references Lecture note

Files related to the course unit