GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
APPLIED MATHEMATICS I/MAT- 309
Course Title: APPLIED MATHEMATICS I
Credits 4 ECTS 5
Semester 5 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
Giving basic information for scientist studying on the Applied Mathematics.
Construction of the basic facilities for scientist studying on the Applied Mathematics.
Obtaining solutions of many problems related to Physics and Engineering with the help of mathematical methods.
Giving definitions and investigating related properties of some special functions using in Physics and Engineering.
Obtaining solutions and investigating related properties of some differential equations using in Physics and Engineering.
Obtaining formulas related to some series expansions using in Physics and Engineering.



 -- 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  Power fields, preserving fields and computing the work related to this fields.
2. Week  Power fields, preserving fields and computing the work related to this fields.
3. Week  Finding the mass and centre of mass with the help of multiple integrals.
4. Week  Computing the moment of inertia with the help of multiple integrals.
5. Week  Computing the volume and surface area with the help of first and second Guldin-Pappus theorems and their applications.
6. Week  Finding the Fourier series for functions satisfying the Dirichlet conditions.
7. Week  Fourier sinus and cosinus series and their applications.
8. Week  Mid-Term Exam
9. Week  Fourier series for the general intervals, complex Fourier series and their applications.
10. Week  Fourier series for the general intervals, complex Fourier series and their applications.
11. Week  Investigation of approximation properties of Fourier series with the help of Fejer operators.
12. Week  Investigation of approximation properties of Fourier series with the help of Fejer operators.
13. Week  Leibnitz rule for the functions defined by integral and its applications.
14. Week  Definition and properties of gamma and beta functions.
15. Week  Applications related to the gamma and beta 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
4
32
 Searching in Internet and Library
5
4
20
 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: 
132
 TOTAL WORKLOAD / 25: 
5.28
 ECTS: 
5
 -- 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