Course Name Code Semester T+U Hours Credit ECTS
Uygulamali Matematikten Seçme Konular MAT 005 0 3 + 0 3 6
Precondition Courses <p>It is recommended that Analysis I,II, Linear Algebra, Differential Equations I,II, Numerical Analysis.</p>
Recommended Optional Courses <p>No.</p>
Course Language Turkish
Course Level yuksek_lisans
Course Type Compulsory
Course Coordinator Prof.Dr. HALİM ÖZDEMİR
Course Lecturers Prof.Dr. HALİM ÖZDEMİR,
Course Assistants
Course Category Field Proper Education
Course Objective

Applied Mathematics contains different issues in terms of content. It is intended to explain to students the basic issues.

Course Content

Matrices, Linear transformations, Existence and uniqueness theorems, Some special functions.

# Course Learning Outcomes Teaching Methods Assessment Methods
1 He / She solves the matrix equation. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
2 He / She obtain information about linear transformations. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
3 He / She learns existence and uniqueness theorems. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
4 He / She learns Sturm theorems and their applications. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
5 He / She has knowledge about some important special functions Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Matrices and matrix equations.
2 For some kind of inverse matrix and applications to the matrix equation.
3 Linear transformations, eigenvalues and eigenvectors.
4 Linear transformations, eigenvalues and eigenvectors.
5 Applications of linear algebra (polynomial curve fitting, quadratic surfaces, continuous function approach, Fourier series)
6 Applications of linear algebra (polynomial curve fitting, quadratic surfaces, continuous function approach, Fourier series)
7 Local and global existence-uniqueness theorems in differential equations.
8 Local and global existence-uniqueness theorems in differential equations.
9 Midterm
10 Sturm separation and comparison theorems.
11 Concave and convex functions.
12 Some special functions defined by integrals.
13 Some special functions defined by integrals.
14 Harmonic functions.
Resources
Course Notes
Course Resources

Altın, A., Uygulamalı Matematik, Gazi Kitabevi, Kasım 2011
Harville, D. A., Matrix Algebra From a Statisticion’s ;Perspective, Springer-Verlag inc, New-York, 1997.
Axler, S., Bourdon, P., Ramey, W., Harmonic Function Theory, second ed., Springer-Verlag, New York, 1992.
Ross, S. L., Differential Equations, Second Edition, John Wiley and Sons, 1984.
Graybill, F. A., Introduction to Matrices with Aplications in Statistics, Wadsworth Publishing Company inc., California, 1969.

Order Program Outcomes Level of Contribution
1 2 3 4 5
0 Develop strategic, political and practice plans and evaluate the results by taking into account the quality process in his/her area of expertise
2 Student follows the current journals in his/her field and puts forward problems. X
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
5 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
6 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
7 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. X
8 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters X
9 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research.
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
11 Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles. X
Evaluation System
Semester Studies Contribution Rate
1. Ödev 30
1. Ara Sınav 70
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 12 12
Assignment 1 15 15
Final examination 1 15 15
Total Workload 138
Total Workload / 25 (Hours) 5.52
dersAKTSKredisi 6