GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
APPLIED MATHEMATICS II/MAT- 310
Course Title: APPLIED MATHEMATICS II
Credits 4 ECTS 6
Semester 6 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Ogün DOĞRU
 -- WEB SITE(S) OF LECTURER(S)
  www.websitem.gazi.edu.tr/ogun.dogru
 -- EMAIL(S) OF LECTURER(S)
  ogun.dogru@gazi.edu.tr,ogun.dogru@gmail.com
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Construction of the basic facilities for scientist studying on the Applied Mathematics.
Obtaining some formulas using in Physics and Engineering.
Obtaining solutions of many problems in Physics and Engineering with the help of mathematical methods.
Investigation of osscilation properties of solutions of differential equations.
Obtaining series expansion by means of solutions of some differential equations.
Investigation of properties of families of some orthogonal functions.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face.
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Systems of Sturm-Liouville
2. Week  Systems of Sturm-Liouville
3. Week  Sturm osscillation theory and its applications
4. Week  Completeness and Parseval identity, adjoint forms and Lagrange identity
5. Week  Series expansion by means of eigenfunctions
6. Week  Bessel diferensiyel denklemi and its solution
7. Week  Bessel differential equation, series expansion by means of Bessel functions
8. Week  Mid-Term Exam
9. Week  Bessel differential equation, series expansion by means of Bessel functions
10. Week  Neumann functions, Hankel functions and modified Bessel functions
11. Week  Legendre differential equation and Legendre functions
12. Week  Legendre differential equation and Legendre functions
13. Week  Legendre polynomials and series expansions
14. Week  Gauss differential equation and hypergeometric functions
15. Week  Kummer equation, Konfluent hypergeometric functions
16. Week  Final Exam
 -- RECOMMENDED OR REQUIRED READING
  A. Altın, Uygulamalı Matematik, Gazi Kitapevi, 2012. O. Doğru (Çeviri Editörü)Diferensiyel Denklemlerin Temelleri, Nobel Yayıncılık, 2013
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Drill - Practise
 -- WORK PLACEMENT(S)
  None
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
40
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
40
 Contribution of Final Examination to Overall Grade  
60
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
3
42
 Practising Hours of Course Per Week
14
2
28
 Reading
8
5
40
 Searching in Internet and Library
10
4
40
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
5
5
 Final and Studying for Final
1
5
5
 Other
0
 TOTAL WORKLOAD: 
160
 TOTAL WORKLOAD / 25: 
6.4
 ECTS: 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing.X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial.X
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods.X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information.X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector.X
9To gain substructure to be able to study at graduate level.X
10To enable the student to gain the ability of relating mathematics with the other sciences.X