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1441 Mathematics

GENERAL INFORMATION

Mathematics Programme offers both theoretical and application-specific courses in various specialized options like Analysis and Theory of Functions, Geometry, Applied Mathematics, Algebra and Number Theory, and Topology.

Objective
A person who graduated from the Mathematics Graduate Program will have expert knowledge one of the topics in analysis and theory of functions, geometry, applied mathematics, algebra and number theory and topology. Person graduated from a scientific point of view the real-world problems are shaped by the ability of scientific research finding necessary information in the literature, making the necessary observations and the information obtained by analyzing, the resulting and writing the information.

Admission Requirements
Standardized graduate examination given by OSYM (ALES), acceptable score on centralized graduate entrance exam, placement through local oral/written exam and certificate of English proficiency.

Graduation Requirements
A student must complete the required course load (21 PAU credits) with a CGPA of at least 3.00/4.00; present a research seminar and successfully prepare and defend a thesis.

Career Opportunties
The mathematics graduates are employed in public and private sector and many areas related to their profession. In addition, our graduates which have completed pedagogical formation courses has been working as a teacher in educational institutions.

Qualification Awarded
Mathematics

Level of Qualification
Second Cycle (Master's Degree)

Recognition of Prior Learning
Recognition of previous structured lectures in Turkish Higher Education Institutions, transitions in vertical, horizontal and university are realized within the scope of the "Higher Education Regulations", "REGULATION BETWEEN THE BACHELORS AND GRADUATE DEGREE PROGRAMS, ON HIGHER EDUCATION AND TRANSITION BETWEEN DOUBLE MAJOR DALL, SIDE DALL AND CREDIT TRANSFER STANDARDS

Qualification Requirements and Regulations
A student must complete the required course load (21 PAU credits) with a CGPA of at least 3.00/4.00; present a research seminar and successfully prepare and defend a thesis.

Access to Further Studies
May apply to PhD programs

Mode of Study
Full Time

Examination Regulations, Assessment and Grading
Measurement and evaluation methods that is applied for each course, is detailed in "Course Structure&ECTS Credits".

Contact (Programme Director or Equivalent)

Position	Name Surname	Phone	Fax	E-Mail
HEAD OF THE DEPARTMENT OF INSTITUTE	Prof. Dr. MUSTAFA AŞCI			masci@pau.edu.tr

PROGRAM LEARNING OUTCOMES

1	Understands and applies the mathematical proof.
2	Reads, understands and uses the basic definitions.
3	Has an advanced level of critical thinking skills.
4	Solves advanced problems using standard mathematical techniques.
5	Uses mathematic as the language of science.
6	Writes a software programme for mathematical calculations.
7	Gains experiences for the application areas of mathematics and mathematical modelling.
8	Has the ability to conduct original research and independent publication.

TEACHING & LEARNING METHODS

Name	Comments
Lecturing	Lecturing is one of the methods that come first, where the teacher is in the center. It is a method where the teacher actively describes topics and the students are passive listeners. With this method, lesson proceeds in the form of report, description and explanation.
Debate	Depending on the situation, debate is a tool that allows all students, or a specific portion of the class to participate in the lesson. In this method, members of the group discuss a topic by addressing the various points of view and discuss alternative opinions about problem-solving.
Problem Solving	The name given to any doubt or ambiguity that arises is, a problem. Problems which usually have a role in human life, that have preventing or annoying aspects are solved by considering the stages of scientific methods. (a) Problems are determined. (b) The problem is identified.
Questions –Answers	The different types of Questions used (associative, differential, assessment, requesting information, motivating, and brainstorming) although students get in to more active positions during the process; the method is teacher-centered. If possible Questions, that serve a purpose and
Concept Maps	Express a relation network, based on figures, graphics and words propositions and principles. It enables visual learning. These steps are followed: 1) Concepts about the subjects to be taught are listed. 2) The name of the subject that will be taught is written at the top.3) Relations between
Project	Project-based learning is a learning way which leads students to deal with interesting problems and to create extraordinary products at the end of this. It allows students to use their creativity and it requires them to look at events perceptively.
Observation	Although we generally get information related to the nature through observations, the Observation method can also be used for other situations and under other conditions. We try to reach certain generalizations by thinking about our findings which we gather from our observations.
Brainstorming	Brainstorming is a group work process that has been regulated to reach solutions for a problem without limitations or evaluation. The purpose of brainstorming is to make it easier for students to express themselves and to generate ideas. This technique is used as a high-level discussion

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COURS STRUCTURE & ECTS CREDITS

Year :

Course Plan

1st Semester Course Plan

Course Code	Course Title	L+P Hour	ECTS	Course Type
MAT 582	ADVANCED LINEAR ALGEBRA	3+0	7,5	Compulsory
FBE 610	METHODS OF RESEARCH AND ETHICS	3+0	7,5	Compulsory
MAT 606	MATHEMATICAL ANALYSIS	3+0	7,5	Compulsory
-	Mathematics Elective 1	3+0	7,5	Elective
		Total	30

1st Semester Elective Groups : Mathematics Elective 1

2nd Semester Course Plan

Course Code	Course Title	L+P Hour	ECTS	Course Type
MAT 599	SEMINAR	0+2	7,5	Compulsory
-	Mathematics Elective 2	3+0	7,5	Elective
-	Mathematics Elective 2	3+0	7,5	Elective
-	Mathematics Elective 2	3+0	7,5	Elective
		Total	30

2nd Semester Elective Groups : Mathematics Elective 2

3rd Semester Course Plan

Course Code	Course Title	L+P Hour	ECTS	Course Type
MAT 500	MASTER'S THESIS	0+0	20	Compulsory
MAT 700	FIELD OF STUDY COURSE	6+0	10	Compulsory
		Total	30

4th Semester Course Plan

Course Code	Course Title	L+P Hour	ECTS	Course Type
MAT 500	MASTER'S THESIS	0+0	20	Compulsory
MAT 700	FIELD OF STUDY COURSE	6+0	10	Compulsory
		Total	30

COURSE & PROGRAM LEARNING OUTCOMES

Year :

Numerical Verbal The Presence of Relationship

Compulsory Courses

Course Title	C/E	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08
ADVANCED LINEAR ALGEBRA	C	*		*		*		*	*
FIELD OF STUDY COURSE	C
MASTER'S THESIS	C	*			*				*
MATHEMATICAL ANALYSIS	C	*	*	*	*	*	*	*	*
METHODS OF RESEARCH AND ETHICS	C
POSTGRADUATE COUNSELING	C
SEMINAR	C							*	*

Click to add elective courses...

Elective Courses

Course Title	C/E	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08
ADVANCED ALGEBRA	E
ADVANCED COMPLEX ANALYSIS	E	*	*	*	*	*	*	*
ADVANCED LINEAR ALGEBRA	E	*		*		*		*	*
ADVANCED PROGRAMMING	E
ADVANCED REGULAR MATRIX MAPPINGS I	E	*		*		*		*	*
ADVANCED REGULAR MATRIX MAPPINGS II	E	*		*	*		*	*
ADVANCED RINGS THEORY II	E	*		*	*			*
ADVANCED THEORY OF DIFFERENTIAL EQUATIONS	E
ADVANCED TOPOLOGY	E
ALGEBRAIC TOPOLOGY I	E	*		*	*	*
ALGEBRAIC TOPOLOGY II	E		*	*	*	*	*
AN INTRODUCTION TO NONASSOCIATIVE ALGEBRAS	E
ANALYSIS ON TIME SCALES I	E	*		*	*	*
ANALYSIS ON TIME SCALES II	E	*	*	*	*	*
ANALYTICAL METHODS IN APPLIED MATHEMATICS	E
APPLIED DIFFERENTIAL GEOMETRY I	E	*		*	*				*
APPLIED DIFFERENTIAL GEOMETRY II	E	*		*	*				*
APPLIED DIFFERENTIAL GEOMETRY-I	E	*		*	*			*	*
APPLIED DIFFERENTIAL GEOMETRY-II	E	*			*			*	*
APPLIED MATHEMATICAL PROGRAMMING	E
APPROXIMATE METHODS AND MATHEMATICAL MODELING	E
APPROXIMATION THEORY OF FUNCTIONS I	E	*		*		*	*
APPROXIMATION THEORY OF FUNCTIONS II	E	*		*	*			*
AUTOMORPHIC FUNCTIONS	E
CATEGORY THEORY	E	*			*	*
CLASSICAL AND MODERN METHODS ON SUMMABILITY THEORY I	E	*		*		*	*
CLASSICAL AND MODERN METHODS ON SUMMABILITY THEORY II	E	*		*	*	*
DIFFERENTIABLE MANIFOLDS -I	E	*		*	*				*
DIFFERENTIABLE MANIFOLDS -II	E	*		*	*
DIFFERENTIAL GEOMETRIC METHODS IN ANALITIC MECHANICS I	E	*		*	*				*
DIFFERENTIAL GEOMETRIC METHODS IN ANALITIC MECHANICS II	E	*		*	*				*
DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES I	E	*	*	*	*				*
DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES II	E	*	*	*	*				*
ECONOMICS, GEOMETRY, DYNAMICS I	E	*		*	*	*
ECONOMICS, GEOMETRY, DYNAMICS II	E	*		*	*	*
FINITE DIFFERENCE EQUATIONS	E	*		*	*
FINITE DIFFERENCE METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS	E
FRACTIONAL CALCULUS	E
FRACTIONAL DIFFERENTIAL EQUATIONS	E
FUNCTIONAL ANALYSIS I	E	*		*	*		*
FUNCTIONAL ANALYSIS II	E	*		*	*	*	*
FUNCTIONAL EQUATIONS	E	*		*	*	*
GENERALISED CLASSICAL MECHANICS AND FIELD THEORY I	E	*		*	*				*
GENERALISED CLASSICAL MECHANICS AND FIELD THEORY II	E	*		*	*				*
GEOMETRIC TOPOLOGY	E
GRAPH AND COMBINATORICS	E	*	*	*	*	*	*	*	*
GROUP THEORY I	E	*		*	*				*
HIGHER DIFFERENTIAL GEOMETRY-I	E	*			*				*
HIGHER DIFFERENTIAL GEOMETRY-II	E	*		*	*				*
HOMOLGY ALGEBRA	E
HYPERBOLIC GEOMETRY	E	*	*	*	*	*	*	*	*
INTEGRAL EQUATIONS	E	*		*	*		*	*
INTRODUCTION TO LORENTZIAN GEOMETRY	E	*		*	*			*	*
INTRODUCTION TO TOPOLOGY	E	*		*	*	*	*
JET MANIFOLDS AND JET BUNCHES I	E	*		*	*
JET MANIFOLDS AND JET BUNCHES II	E	*		*	*				*
LATEX	E
LORENTZIAN GEOMETRY	E	*			*	*		*	*
MATHEMATICAL ANALYSIS	E	*	*	*	*	*	*	*	*
MATRIX THEORY	E
METHODS OF RESEARCH AND ETHICS	E
MODULE THEORY	E
MÖBIUS TRANSFORMATIONS	E	*	*	*	*	*	*	*	*
NON-COMMUTATIVE RINGS	E	*	*	*	*		*		*
NUMERICAL SOLUTIONS OF INTEGRAL EQUATIONS	E	*		*	*			*	*
OPERATOR EQUATIONS THEORY I	E		*	*			*	*
OPERATOR EQUATIONS THEORY II	E	*		*	*	*			*
OPTIMIZATION METHODS I	E	*		*	*		*
OPTIMIZATION METHODS II	E	*		*	*		*
POSITIVE LINEAR OPERATORS	E
POSITIVE SOLUTIONS OF LINEAR OPERATORS I	E		*	*			*	*
POSITIVE SOLUTIONS OF LINEAR OPERATORS II	E	*	*		*	*	*
RECURRENCE RELATIONS, FIBONACCI AND LUCAS NUMBERS	E
REPRESENTATIONS OF GROUPS	E
RING THEORY I	E	*		*	*			*	*
SELECTED TOPICS IN NUMERICAL ANALYSIS	E
SEMI-RIEMANN MANIFOLDS I	E	*		*	*			*	*
SEMI-RIEMANN MANIFOLDS II	E	*		*	*			*	*
SPECIAL FUNCTIONS	E	*		*	*		*	*
SPECTRAL THEORY OF LINEAR DIFFERENTIAL OPERATORS	E	*		*	*	*
STRUCTURAL CHARACTERISTIC OF FUNCTIONS ON COMPLEX PLANE I	E	*	*		*	*	*
STRUCTURAL CHARACTERISTIC OF FUNCTIONS ON COMPLEX PLANE II	E	*	*	*	*	*	*
TENSOR GEOMETRY AND APPLICATIONS I	E	*		*	*				*
TENSOR GEOMETRY AND APPLICATIONS II	E	*		*	*			*	*
THE GEOMETRY OF DISCRETE GROUPS	E	*	*	*	*	*	*	*	*
THEORY OF ADVANCED DIVERGENT SERIES I	E	*		*	*	*	*
THEORY OF ADVANCED DIVERGENT SERIES II	E	*	*	*		*	*	*	*
THEORY OF FUNCTIONS OF A REAL VARIABLE	E	*	*		*	*
THEORY OF GENERALIZED FUNCTIONS AND APPLICATIONS	E
TOPOLOGICAL AND METRIC SPACES	E
TOPOLOGICAL GROUPS	E
TOPOLOGICAL SEQUENCE SPACES	E
UNBOUNDED LINEAR OPERATOR THEORY	E	*		*	*	*

L+P: Lecture and Practice
C: Compulsory
E: Elective
PO: Program Learning Outcomes
TH [5]: Too High
H [4]: High
M [3]: Medium
L [2]: Low
TL [1]: Too Low
None [0]: None
FOE [0]: Field of Education
NQF-HETR : National Qualifications Framework For Higher Education in Turkey

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1441 Mathematics