Mathematics
II.b Course Structure Diagram of the Master's Programme in Mathematics

1ST YEAR / 1ST SEMESTER

A

B

C

D

E

F

Course Code

Course Name

İYTE Credit

ECTS Credit

lecture or seminar hrs/wk

practical work hrs/wk

private work hrs/wk

total hrs/semester

 

Elective I*

(Th 3 + Pr 0) 3

6

3

0

 

 

 

Elective II*

(Th 3 + Pr 0) 3

6

3

0

 

 

 

Elective III

(Th 3 + Pr 0) 3

6

3

0

 

 

* Graduate students in the Mathematics Master’s Programme must take at least two of the core courses listed below.

1ST YEAR / 2ND SEMESTER

A

B

C

D

E

F

Course Code

Course Name

İYTE Credit

ECTS Credit

lecture or seminar hrs/wk

practical work hrs/wk

private work hrs/wk

total hrs/semester

 

Elective IV

(Th 3 + Pr 0) 3

6

3

0

 

 

 

Elective V

(Th 3 + Pr 0) 3

6

3

0

 

 

 

Elective VI

(Th 3 + Pr 0) 3

6

3

0

 

 



2ND YEAR / 1ST SEMESTER

A

B

C

D

E

F

Course Code

Course Name

İYTE Credit

ECTS Credit

lecture or seminar hrs/wk

practical work hrs/wk

private work hrs/wk

total hrs/semester

 

Elective VII

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 599

Master's Thesis

(Th 0 + Pr 1) 0

15

0

1

 

 

MATH 596

Graduate Seminar

(Th 0+ Pr 2) 0

5

0

2

 

 

MATH 8XX

Special Studies

(Th 4 + Pr 0) 0

5

4

0

 

 

MATH 9XX

Special Topics

(Th 4 + Pr 0) 0

5

4

0

 

 



2ND YEAR / 2ND SEMESTER

A

B

C

D

E

F

Course Code

Course Name

İYTE Credit

ECTS Credit

lecture or seminar hrs/wk

practical work hrs/wk

private work hrs/wk

total hrs/semester

MATH 599

Master's Thesis

(Th 0 + Pr 1) 0

15

0

1

 

 

MATH 8XX

Special Studies

(Th 4 + Pr 0) 0

5

4

0

 

 

MATH 9XX

Special Topics

(Th 4 + Pr 0) 0

5

4

0

 

 



CORE COURSES

A

B

C

D

E

F

Course Code

Course Name

İYTE Credit

ECTS Credit

lecture or seminar hrs/wk

practical work hrs/wk

private work hrs/wk

total hrs/semester

MATH 501**

Advanced Mathematics

(Th 4 + Pr 0) 4

8

4

0

 

 

MATH 503**

Introduction to Pure Mathematics

(Th 4 + Pr 0) 4

8

4

0

 

 

MATH 515

Real Analysis

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 516

Complex Analysis and Fluid Dynamics

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 517

Advanced Linear Algebra

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 519

Methods of Mathematical Physics

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 527

Basic Abstract Algebra

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 564

Functional Analysis

(Th 3 + Pr 0) 3

6

3

0

 

 

** All new accepted students who didn’t pass the General Graduate Exam have to take the two preparatory courses.

ELECTIVE COURSES

A

B

C

D

E

F

Course Code

Course Name

İYTE Credit

ECTS Credit

lecture or seminar hrs/wk

practical work hrs/wk

private work hrs/wk

total hrs/semester

MATH 511

Data Analysis with Mathematica

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 513

Introduction to Mathematical Logic

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 514

Modal Logic

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 518

Numerical Linear Algebra

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 520

Introduction to Temporal Logic

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 521

Modul and Ring Theory I

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 522

Modul and Ring Theory II

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 523

Algebraic Topology I

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 524

Algebraic Topology II

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 525

Introduction to Homological Algebra

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 529

Abelian Groups

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 530

Quantum Calculus

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 533

Ordinary Differential Equations

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 534

Partial Differential Equations

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 535

Perturbation Method for Differential              Equations

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 539

Numerical Analysis

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 540

Numerical Solution of Partial                        Differential Equations

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 541

Graph Theory

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 544

Introduction to Commutative Algebra

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 546

Advanced Module Theory

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 551

Probability Theory I

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 552

Probability Theory II

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 553

Stochastic Process and Their                        Applications

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 554

Brownian Motion and Schrödinger's                Equation

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 559

Mathematics and Technology for High                 School Teachers

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 560

Computer Assisted Problem Solving

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 563

Introduction to Finite Elements

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 566

Mathematical Foundations of Finite                Element Method

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 567

Mathematical Methods of Quantum                Mechanics I

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 568

Mathematical Methods of Quantum                Mechanics II

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 571

Mathematical Methods of Classical                Mechanics I

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 572

Mathematical Methods of Classical                Mechanics II

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 573

Modern Geometry I

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 574

Modern Geometry II

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 575

Integral Equations

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 576

Introduction to Soliton Theory

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 577

Suppersymmetric Quantum Mechanics

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 578

SU(3)-Symmetry and Quarks

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 581

Topology I

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 582

Topology II

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 585

Symmetries and Groups

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 586

Hilbert Spaces and Quantum Theory

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 588

Fractal Geometries

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 592

Math Clinic

(Th 3 + Pr 0) 3

6

3

0

 

 

MATH 598

Selected Topics in Applied                            Mathematics

(Th 3 + Pr 0) 3

6

3

0

 

 



MANDATORY 8XX - 9XX COURSES

A

B

C

D

E

F

Course Code

Course Name

İYTE Credit

ECTS Credit

lecture or seminar hrs/wk

practical work hrs/wk

private work hrs/wk

total hrs/semester

MATH 801

Special Studies

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 802

Special Studies

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 803

Special Studies

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 804

Special Studies

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 805

Special Studies

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 806

Special Studies

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 807

Special Studies

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 808

Special Studies

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 809

Special Studies

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 810

Special Studies

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 901

Special Topics

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 902

Special Topics

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 903

Special Topics

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 904

Special Topics

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 905

Special Topics

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 906

Special Topics

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 907

Special Topics

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 908

Special Topics

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 909

Special Topics

(Th 4 + Pr 0) 0

 5

4
0
   
MATH 910

Special Topics

(Th 4 + Pr 0) 0

 5

4
0
   


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