GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
APPLIED MATHEMATICS I/MAT3005
Course Title: APPLIED MATHEMATICS I
Credits 4 ECTS 5
Course Semester 5 Type of The Course Compulsory
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
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
 --WEEKLY SCHEDULE
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  Fourier series for the general intervals, complex Fourier series and their applications. Mid-Term Exam
9. Week  Fourier series for the general intervals, complex Fourier series and their applications.
10. Week  Investigation of approximation properties of Fourier series with the help of Fejer operators.
11. Week  Investigation of approximation properties of Fourier series with the help of Fejer operators.
12. Week  Leibnitz rule for the functions defined by integral and its applications.
13. Week  Definition and properties of gamma and beta functions.
14. Week  Applications related to the gamma and beta functions.
15. Week  Final Exam
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
14
2
28
 Reading Tasks
8
4
32
 Searching in Internet and Library
5
4
20
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
5
5
 Final Exam and Preperation for Final Exam
1
5
5
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
132
 TOTAL WORKLOAD / 25: 
5.28
 Course Credit (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
 -- 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)