GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
APPLIED MATHEMATICS I/MAT3001
Course Title: APPLIED MATHEMATICS I
Credits 4 ECTS 6
Semester 5 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
   Turkish
 -- NAME OF LECTURER(S)
  Asist.Prof. Kadir KANAT
 -- WEB SITE(S) OF LECTURER(S)
  http://www.websitem.gazi.edu.tr/site/kadirkanat
 -- EMAIL(S) OF LECTURER(S)
  kadirkanat@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
He/she makes definitions of force fields, conservative fields and find the work done on these areas.
He/she finds center of gravity and the mass by Multiple integrals.
He/she calculates of moment of inertia with the help of multiple integrals.
He/she knows theorems about volume and surface area calculations and their application.
He/she has extensive knowledge about Fourier series, Complex Fourier series and their application.
He/she solves problems related with Gamma and Beta functions.



 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  Bu dersin önkoşulu yada eş koşulu bulunmamaktadır.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
   There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Force fields, conservative fields and account of the work done in this area
2. Week  Force fields, conservative fields and account of the work done in this area
3. Week  Finding center of gravity and the mass by Multiple integrals
4. Week  Calculation of moment of inertia with the help of multiple integrals
5. Week  Calculations and applications volume and surface area with the help of first and second Guldin's theorem
6. Week  Finding the Fourier series for the functions providing Dirichlet conditions
7. Week  Fourier Sine and Cosine series and their applications
8. Week  Mİdterm exam
9. Week  In general range Fourier series, Complex Fourier series and applications
10. Week  In general range Fourier series, Complex Fourier series and applications
11. Week  Investigation of approximation properties of Fourier series with the help of Fejer operator
12. Week  Investigation of approximation properties of Fourier series with the help of Fejer operator
13. Week  Leibnitz rule for functions defined by integrals and applications
14. Week  Gamma and Beta functions' features and applications
15. Week  Gamma and Beta functions' features and applications
16. Week  Final exam
 -- RECOMMENDED OR REQUIRED READING
  A. Altın, Uygulamalı Matematik, Gazi Kitapevi, 2012 M.R. Spiegel, Laplace Transforms (Schaum's Outline Ser.) E. C. Young, Vector and Tensor Analysis
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- 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
0
 Searching in Internet and Library
10
2
20
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
2
3
6
 Presentation
1
2
2
 Mid-Term and Studying for Mid-Term
6
3
18
 Final and Studying for Final
8
3
24
 Other
0
 TOTAL WORKLOAD: 
140
 TOTAL WORKLOAD / 25: 
5.6
 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 train individuals who are equipped with enough mathematicsX
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
10The skill to have professional and ethical responsibilityX