Institute of Graduate Studies

Applied Mathematics and Computational Sciences

1) About the program:

Applied Mathematics and Computational Sciences (AMCS) is an interdisciplinary research area which gathers mathematics, computer science, natural sciences and engineering and develops very fast. Nowadays, many problems in science and engineering are solved by effective utilization of computers.

AMCS aims mathematical modelling of physical, social and engineering problems. This department focuses on development of reliable algorithms for numerical solutions of these models and evaluation of quantitative data collected in research.

Aim of this department is appropriate for graduate students who are willing to model real life problems with computational methods, consider all suitable computation techniques for the problems and decide the best appropriate one, understand the interdisciplinary interaction, work collaboratively in a team, plan reaching new information by combining knowledge from his/her own expertness area with other areas, have advanced mathematics information and integrate this to professional areas, follow international developments, aim to find new approaches to the problems in his/her area and apply them, improve computer software and communication technology, do research properly with scientific ethics and values.

A flexible programme is established by a selection of the courses from mathematics, computer science, natural sciences and engineering. The programme is appropriate for candidates who want to continue PhD education in mathematics, computer science or engineering disciplines and want to work in state or private sectors.

2) Admission Requirements:

The following conditions are required for the applicants applying for master's programs with thesis:

  1. To be a graduate of a 4-year higher education program in the fields of Mathematics, Statistics or Engineering.
  2. To have at least 70 standard score in ALES numerical score type.
  3. Candidates are required to have at least 50 points out of 100 in the YDS or equivalent exams or at least 50 points out of 100 in the graduate foreign language exam conducted by the University. Candidates who fail to meet this requirement must fulfill this requirement until graduation.
  4. In admission to graduate programs; ALES score, undergraduate GPA and interview results are evaluated. You must get at least 50 points out of 100 full points from the interview. In the evaluation, 50% of the ALES score, 25% of the undergraduate grade point average and 25% of the grade obtained from the interview are taken into consideration and the department is ranked according to the quota of at least 70 points by the decision of the academic committee of the department and the Board of Directors of the Institute.

3) Program Competencies

Competencies of students who will graduate from the Applied Mathematics and Computational Sciences Master Program with Thesis are as follows.

  • They comprehend the methods and importance of expressing real world problems with mathematical models that can be solved by computational methods,
  • Distinguish the computational approaches appropriate to the mathematical model and the areas in which they are effective,
  • Understand the interdisciplinary interaction, learn collaboration in the team, gain ability to acquire new information by combining the knowledge in the field of expertise with the information from other fields,
  • Increase knowledge in mathematics with graduate level courses,
  • Comprehend the importance of following the international developments and applying the new developments in the required fields,
  • Become aware that producing new approaches to the problems is a necessity in diverse applications,
  • Develop knowledge of computer software and communication technologies,
  • Understand the importance of scientific ethics and value,
  • Learn the principles of academic study and they can pursue an academic career with a doctorate education.

4) Instructors List:

Instructor

Name-Surname

Academic Title

Department

Hasan GÜÇLÜ

Professor

Statistics

Rahmet SAVAŞ

Associate Professor

Mathematics

Ayşe Betül OKTAY

Assistant Professor

Computer Engineering

Ammar DAŞKIN

Assistant Professor

Computer Engineering

Elif KARAKAYA

Assistant Professor

Industrial Engineering

Mehmet Fatih HOCAOĞLU

Assistant Professor

Industrial Engineering

Ali DİNLER

Assistant Professor

Mathematics

Betül HİÇDURMAZ

Assistant Professor

Mathematics

5)    Curriculum:

The curriculum prediction and total credits and ECTS for each semester of the Applied Mathematics and Computational Sciences Master Program are given below:

I. SEMESTER COURSE PLAN

Code

Course Title

Compulsory /Elective

L

R

Crd

ECTS

UMHB 501


Introduction to Mathematical Methods in Science and Engineering

Compulsory

3

0

3

7

UMHB 519


Computer Programming for Computational Sciences

Compulsory

3

2

3

7

Elective Courses (14 ECTS)

UMHB 503

Numerical Analysis with Matlab

Elective

2

1

3

7

UMHB 505

Scientific Computing 1

Elective

3

0

3

7

UMHB 507

Numerical Methods for Ordinary Differential Equations

Elective

3

0

3

7

UMHB 509

Numerical Linear Algebra

Elective

3

0

3

7

UMHB 511

Introduction to Statistics

Elective

3

0

3

7

UMHB 513

Sampling and Survey Design

Elective

3

0

3

7

UMHB 515

Applied multivariate analysis

Elective

3

0

3

7

UMHB 517

Biostatistics

Elective

3

0

3

7

UMHB 521

Parallel Computing and Applications

Elective

3

0

3

7

UMHB 523

Principles of Artificial Intelligence

Elective

3

0

3

7

UMHB 525

Linear Programming

Elective

2

1

3

7

UMHB 527

Decision Making Techniques

Elective

3

0

3

7

UMHB 529

Modeling and Simulation

Elective

3

2

3

7

UMHB 531

Data Mining and Analysis

Elective

3

0

3

7

TOTAL

12

0

12

28

II. SEMESTER COURSE PLAN

Code

Course Title

Compulsory /Elective

L

R

Crd

ECTS

UMHB 500

Scientific Research Methods and Ethics

Compulsory

3

0

3

7

UMHB XXX

Seminar

Compulsory

1

2

0

4

Elective Courses (21 AKTS)

UMHB 502

Mathematical Modeling

Elective

3

0

3

7

UMHB 504

Dynamical Systems

Elective

3

0

3

7

UMHB 506

Scientific Computing 2

Elective

3

0

3

7

UMHB 508

Numerical Methods for Partial Differential Equations

Elective

3

0

3

7

UMHB 510

Difference Equations

Elective

3

0

3

7

UMHB 512

Advanced Statistics

Elective

3

0

3

7

UMHB 514

Linear Statistical Models

Elective

3

0

3

7

UMHB 516

Time Series

Elective

3

0

3

7

UMHB 518

Matrix Computations

Elective

3

0

3

7

UMHB 520

Object Oriented Programming for Computational Sciences

Elective

3

2

3

7

UMHB 522

Introduction to Algorithms and Data Structures

Elective

2

1

3

7

UMHB 526

Nonlinear programming

Elective

3

2

3

7

UMHB 528

Dynamic Programming

Elective

3

0

3

7

UMHB 530

Stochastic Processes

Elective

3

0

3

7

TOTAL

13

2

12

32

Code

Course Title

Compulsory /Elective

L

R

Crd

ECTS

UMHB XXX

Master Thesis

Compulsory

0

0

0

50

UMHB XXX

Research in Area of Specialization 

Compulsory

4

0

0

10

TOTAL

4

0

0

60

GRAND TOTAL:

30

0

24

120

6) Graduation Requirements:

In order to obtain a Master of Science degree in Applied Mathematics and Computational Sciences, it is compulsory to take at least 24 credit courses, at least one Seminar course and at least one Specialization Field Course provided that there are not less than eight courses. The compulsory and elective courses of these courses are listed below.

Code

Course Title

C/E

L

R

C

ECTS

UMHB 500

Scientific Research Methods and Ethics

Z

3

0

3

7

UMHB 501

Introduction to Mathematical Methods in Science and Engineering

Z

3

0

3

7

UMHB 519

Computer Programming for Computational Sciences

Z

3

2

3

7

UMHB XXX

Seminar

Z

1

2

0

4

UMHB XXX

Research in Area of Specialization 

Z

4

0

0

10

UMHB XXX

Master Thesis

Z

0

0

0

50

UMHB 502

Mathematical Modeling

S

3

0

3

7

UMHB 503

Numerical Analysis with Matlab

S

2

1

3

7

UMHB 504

Dynamical Systems

S

3

0

3

7

UMHB 505

Scientific Computing 1

S

3

0

3

7

UMHB 506

Scientific Computing 2

S

3

0

3

7

UMHB 507

Numerical Methods for Ordinary Differential Equations

S

3

0

3

7

UMHB 508

Numerical Methods for Partial Differential Equations

S

3

0

3

7

UMHB 509

Numerical Linear Algebra

S

3

0

3

7

UMHB 510

Difference Equations

S

3

0

3

7

UMHB 511

Introduction to Statistics

S

3

0

3

7

UMHB 512

Advanced Statistics

S

3

0

3

7

UMHB 513

Sampling and Survey Design

S

3

0

3

7

UMHB 514

Linear Statistical Models

S

3

0

3

7

UMHB 515

Applied Multivariate Analysis

S

3

0

3

7

UMHB 516

Time Series

S

3

0

3

7

UMHB 517

Biostatistics

S

3

0

3

7

UMHB 518

Matrix Computations

S

3

0

3

7

UMHB 520

Object Oriented Programming for Computational Sciences

S

3

2

3

7

UMHB 521

Parallel Computing and Applications

S

3

0

3

7

UMHB 522

Introduction to Algorithms and Data Structures

Z

2

1

3

7

UMHB 523

Principles of Artificial Intelligence

S

3

0

3

7

UMHB 525

Linear Programming

S

2

1

3

7

UMHB 526

Nonlinear Programming

S

3

2

3

7

UMHB 527

Decision Making Techniques

S

3

0

3

7

UMHB 528

Dynamic Programming

S

3

0

3

7

UMHB 529

Modeling and Simulation

S

3

2

3

7

UMHB 530

Stochastic Processes

S

3

0

3

7

UMHB 531

Data Mining and Analysis

S

3

0

3

7

7) Employment Opportunities:

Graduates will be able to work in public and private sectors. Their chances of working in all sectors that have used interdisciplinary interaction will increase. In addition, the graduates who put the multidisciplinary work on the basis of their research will present their knowledge and experience to the service of the country and the world in various national and international projects.

8) Contact:

Head of Department:

Doç.Dr. Rahmet SAVAŞ, 0 216 280 35 25