GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
APPLIED MATHEMATICS/MAT510A
Course Title: APPLIED MATHEMATICS
Credits 3 ECTS 5
Semester 10 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Dr. Ziya ARGÜN
 -- WEB SITE(S) OF LECTURER(S)
  www.gazi.edu.tr/~ziya
 -- EMAIL(S) OF LECTURER(S)
  ziya@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
They should be able to recognise Fourier Series and approximate functions with the Fourier Series
They should be able to recognise partial differential equations and classify these equations
They should be able to have some knowledge related with Laplace and Inverse Lablace Transformations
They should be able to explain the methods Jacobien and approximate root calculation
They should be able solve some type of partial differential equation using by the methods Jacobien and approximate root calculation
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  Before this course, the lectures should be taken some courses like Calculus I (single variables), Analytic Geometry, Linear Algebra and Foundations of Mathematics,
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Introduction to the Lecture (aims, homeworks, investigations )
2. Week  Periodic Functions
3. Week  Approximation to functions with Fourier series
4. Week  Orthogonal and orthonormal functions and their explorations with Fourier series
5. Week  calculation of maximum errors when approximate to functions with Fourier series
6. Week  Introduction to the partial differential equations and their classification
7. Week  Laplace Transformations
8. Week  Inverse Laplace Transformations
9. Week  Solving partial differential equations using by Laplace Transformations
10. Week  Solution of second order partial differential equations using by Laplace Transformations
11. Week  Solution of third and forth order algebraic equation by the method of Jacobien
12. Week  Solution of algebraic equations by the acobien method
13. Week  Approximation calculations of roots
14. Week   Special functions and their approximations
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
   All Lecture books and notes related with the content of this lecture
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Exploration, Discussion, Brain storm, Demonstration,Concept map, inquiry, problem solving, discovery, diagnostic, computer and internet based,
 -- WORK PLACEMENT(S)
  -
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
25
 Assignment
1
10
 Exercises
1
5
 Projects
1
10
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
50
 Contribution of Final Examination to Overall Grade  
50
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
0
 Searching in Internet and Library
0
 Designing and Applying Materials
14
2
28
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
1
20
20
 Mid-Term and Studying for Mid-Term
1
30
30
 Final and Studying for Final
0
 Other
0
 TOTAL WORKLOAD: 
134
 TOTAL WORKLOAD / 25: 
5.36
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Acquisition of scientific thinking skillsX
2Making research and investigation independentlyX
3Acquisition of carefully observing and analytically thinking skillsX
4Acquisition of learning and teaching mathematics problemsX
5Comprehending, applying and explaining the importance of mathematical conceptsX
6Developing the thinking, producing, argumenting and probing abilitiesX
7Having the algorithm and sotftware writing abilities for solving computer supported problemsX
8Developing the ability of reaching information, evaluating and presenting informationX
9Improving yourself parallel to the developing technologyX
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.X