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Master of Science Program in Mathematics

   
 
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Mathematics
Qualification Awarded
Students are awarded with a Second Cycle Degree in Mathematics upon successful completion of all the requirements in the curriculum programme and fulfilling all other requirements for graduation
Level of Qualification
Second Cycle Degree
Objectives
At the end of the program the student:
• Will have the basic theoretical and practical knowledge and skills in the fields of mathematics (basic disciplines such as functional analysis, geometry, topology, algebra etc.), pedagogy, psychology and learning theory.
• Will possess competences of instructors at schools.
• Will be able to gain competences necessary to continue their Third Cycle Degree.
Specific Admission Requirements
Students' admission to Second Cycle Degree is based on a nation-wide Academic Personnel and Entrance Examination for Graduate Studies(ALES). The examination is held twice in a year and is administered by the Student Selection and Placement Center (ÖSYM). Candidates gain access to institutions of Second Cycle Degree based on their composite scores consisting of the scores on the selection examination and their First Cycle Degree grade point averages
Specific Arrangements for Recognition of Prior Learning
The students of our Institution have the right to request the recognition of their prior learning at different universities. For the recognition of their prior learning, they should submit their transcript and course contents to the relevant department in the first semester of their registration year
Qualification Requirements and Regulations
The requirements for getting Second Cycle Degree are to complete (21-30) credit hours as diveded below and to fulfill all other requirements.
a. (21) Credit hours covering (8) optional courses as detailed in the curriculum. b.
b. The student should take a comprehensive exam after completing the accredited courses in curriculum which are (21) credit hours.
c. Maximum study period to receive Second Cycle Degree is 2 years.
Profile of The Programme
The basic orientation of this programme is to prepare a specialist in mathematics and to form their basic competences in educational, psychological and communicative subjects. The study contains the basic courses of functional analysis, geometry, topology and algebra which form the vital foundation for the follow-up Third Cycle Degree of Teaching mathematics at higher secondary schools. The knowledge, skills and attitudes gained during the study form basic competences for performing the profession at the secondary schools. The above mentioned competences guarantee full qualification of the intructor at educational and non-educational institutions
Program Learning Outcomes
After successful completion of this program, the students will be able to;
 1-  1. applicate the mathematics to other disciplines,
 2-  2. identify, model and solve the mathematical problems in mathematics and related fields,
 3-  3. solve and design a problem process in accordance with a defined target,
 4-  4. analyse the datas, interprete and applying the results to other datum,
 5-  5. use the modern techniques and computational tools needed for mathematical applications,
 6-  6. make team work within the discipline and interdisciplinary,
 7-  7. act independently, using initiative and acquiring creativity skills,
 8-  8. have self-development skills by observing the subjects as to the science, technology and modern topics,
 9-  9. communicate their own ideas orally and in written way, in a clear and concise manner by having work skills as individual and ability to decide independently,
 10-  10. have professional and ethical responsibility,
 11-  11. aware of having in issues related to improving quality,
 12-  12. watch actual problems of national and international,
 13-  13. consistently sensitive to environmental issues and social relations.
Occupational Profiles of Graduates
The occupational profiles of the graduates contain:
• Professional readiness and level of professional adaptibility to conditions and requirements from the practice or basic professional education as the precondition for the follow-up teaching or departmental study of mathematics
Access to Further Studies
After completing the Second Cycle Degree programme, it is possible to continue further studies in the Third Cycle Degree programme that can last up to 5 years. The graduates are awarded as Master title (MME, MA, MS,…..).
Examination Regulations, Assesment and Grading
Each student must attend the courses, applied studies, projects, seminars, workshops, graduation projects and other studies of the semester s/he is enrolled for. Students who have not attended at least 30% of theoretical courses is not allowed to take the final exam of those courses. Once the student fulfilles the attendance requirements in theoretical courses, no attendance is required if the course is repeated later.
Examinations are generally in written form. However, the instructor of the course may decide to conduct the exam in the form of an oral exam, project or assignment on condition that s/he states it on the course information form (syllabus). Examinations are arranged and conducted by the instructors teaching the courses. A make-up exam is given to students with certified excuses accepted by the relevant executive board within fifteen days after the final examinations are over
Graduation Requirements
Mathematics majors are subject to the following sets of graduation requirements:
1. Requirements imposed upon all undergraduate students in the University
2. Requirements for all students in the College of Natural Sciences and Mathematics,
3. Requirements established by the Department of Mathematics and Statistics.
All of these will be satisfied by completing the requirements in a period of no more than 2… semesters, including semesters at other universities
Mode of Study
Full - Time
ECTS Coordinator
Institute For Sciences
Contact
Mehmet Akif Ersoy University
Institute of Sciences
15030 Yenimahalle-Burdur/Turkey
Course & Program Outcomes Matrix
Course Unit Title P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13
Approximation Properties of Linear Positive Operators I
Approximation Properties of Linear Positive Operators II
Elective Lesson 1
Elective Lesson 2
Elective Lesson 3
Elective Lesson 4
Elective Lesson 5
Elective Lesson 6
Elective Lesson 7
Functional Analysis I
Functional Analysis II
Master Thesis Studies
Motion Geometry I
Motion Geometry II
Multilinear Algebra I
Multilinear Algebra II
Nonlinear Differential Equations I
Nonlinear Differential Equations II
Seminar
Special Studies
Special Topics in Mathematics
Spectral Analysis of Differential Operators I
Spectral Analysis of Differential Operators II
Thesis
Topology I
Topology II
Evaluation Questionnaires
 THE OVERALL EVALUATION OF THE COURSE V. Good Good Average Poor V. Poor No Idea
 1. Stating the content and objectives at the beginning of the course
 2. Supplementing the course with current issues
 3. The clarity of the exam questions and their appropriateness to the course
 4. The contribution of the course to your knowledge and skills
 5. Access to the course sources
 6. The relativeness of the course compared to the other courses in the department
 7. The selection of the sources according to the objectives of the course
 8. The contribution of the assignments to the course
 
 THE EVALUATION OF THE INSTRUCTOR Very Good Good Average Poor Very Poor No Idea
 1. The way the instructor handles the course
 2. The instructor's competence in answering the questions in the class
 3. The instructor's encouragement to take part in the class by allowing different ideas and comments
 4. The instructor's preparation for the class
 5. The efficient use of class time
 6. The instructor's in-class management
 7. The instructor's objective evaluation of the exams and assignments
 8. The instructor's punctual and regular attendance
 9. The instructor's rapport with the students
 10. The availability of the instructor’s time except for the class time and the sufficiency of the time s/he allocates to you
 
 LEVEL OF THE CONTRIBUTION OF COURSE OUTCOMES TO PROGRAMME COMPETENCIES 5 4 3 2 1 X
Graduates who successfully complete this program;
 1. have high level information and skills supported by the course books that include the most recent information, application equipment and other scientific sources related to education technologies, teaching profession, general information and basic sciences; use these informations and skills in daily life and in jobs,
 2. examine and evaluate concepts about education technology and teaching profession, ideas and data with scientific methods; diagnose, analyze and discuss complicated problems and subjects; develop suggestions based on scientific discoveries and evidences,
 3. inform the audiences who are not expert and do not have information about education technology and teaching profession; express related ideas about these problems and solutions with written and oral,
 4. have learning to learn, self control, critical thinking, creative thinking skills and perform independent studies related to study field,
 5. get responsibilities and try to produce solutions when faced with unexpected and complicated cases in applications of education technologies and teaching professions,
 6. know students’ interests, wishes and needs; know social, cultural and economic properties of families and environment; plan, apply and manage learning and teaching process suitable for these properties; get students active participation in learning process,
 7. know information about education technologies and teaching professions and comprehend adequately; have information about foreign language in level of communicating with professional colleagues,
 8. have information about computer software and hardware in level of teaching computer and information and communication technologies courses and supporting other teachers; use information and communication technologies,
 9. consider social, scientific and ethic values in levels of gathering data, analyzing, interpreting, announcing when doing teaching professions or working in private sector, being researcher or source of data,
 10. continuously try to develop with doing self assessment; be on new information and ideas ; play affective role in developing of themselves and their intuition; know and behave according to the laws about their job, main values and principles, know the rights about job security and social security; have conscious about protecting social values and environment,
 11. evaluate students’ improvement and learning, get students to evaluate themselves and other students; use the results of evaluation for better instruction; share the results with student, family, managers and teachers.

 WORKLOAD DETERMINATION - ECTS
 1. Your percentage of attendance
 2. Did you do any preparations for this course? (except some activites like quiz, homework, labs,mid-term exams, final exams)

    

a. If yes, preparation time per week (hour)

 3. Did you do any assignments as a part of this course?

    

a. If yes, number of the assignments done

b. Average time spent in preparing the assignment (hour)

 4. Did you prepare any presentations or seminars as a part of this course?

    

a. If yes, number of the presentation/seminar done

b. Average time spent in preparing each presentation/seminar (hour)

 5. Did you take a midterm exam in this course?

    

a. If yes,number of the mid-term exams you done

b. The average time you spent on preparing for each mid-term exam (hour)

 6. Did you make any projects as a part of this course?

    

a. If yes, number of the projects done

b. The average time you spent on doing each project (hour)

 7. Did you attend any laboratory work as a part of this course?

    

a.If yes, number of the laboratory works you attended

b.The average time you spent on each work (hour)

 8. Did you attend any field surveys as a part of this course?

    

a. If yes, number of field surveys you attended

b. If yes, the average time you spent on each survey (hour)

 9. Did you take the final exam of this course?

    

a. If yes, the average time you spent on the final exam (hour)

 

 


  Required
 Course Code Course Title Type of Course N.C.* ECTS
  01MAT1600 Special Studies Required 8 6
  01MAT1500 Seminar Required 0 6
  01MAT1600 Special Topics in Mathematics Required 8 6
  01MAT1600 Special Studies Required 8 6
  01MAT1700 Master Thesis Studies Required 0 24
  01MAT1600 Special Topics in Mathematics Required 8 6
  01MAT1700 Thesis Required 0 24


  Elective
 Course Code Course Title Type of Course N.C.* ECTS
  01MAT1251 Topology I Elective 3 6
  01MAT1278 Functional Analysis II Elective 3 6
  01MAT1277 Functional Analysis I Elective 3 6
  01MAT1252 Topology II Elective 3 6
  01MAT1201 Multilinear Algebra I Elective 3 6
  01MAT1202 Multilinear Algebra II Elective 3 6
   Elective Lesson 4 Elective 3 6
   Elective Lesson 3 Elective 3 6
   Elective Lesson 2 Elective 3 6
   Elective Lesson 1 Elective 3 6
   Elective Lesson 7 Elective 3 6
   Elective Lesson 6 Elective 3 6
   Elective Lesson 5 Elective 3 6
  01MAT1295 Nonlinear Differential Equations I Elective 3 6
  01MAT1296 Nonlinear Differential Equations II Elective 3 6
  01MAT1297 Approximation Properties of Linear Positive Operators I Elective 3 6
  01MAT1211 Motion Geometry I Elective 3 6
  01MAT1212 Motion Geometry II Elective 3 6


 

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