GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ADVANCED MATHEMATICS II/MAT202
Course Title: ADVANCED MATHEMATICS II
Credits 3 ECTS 5
Semester 4 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  English
 -- NAME OF LECTURER(S)
  Assoc.Prof. Esra ERKUŞ-DUMAN
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/eduman
 -- EMAIL(S) OF LECTURER(S)
  eduman@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
In several ways to give perspective to students in differential equations.
To comprehend the concept of Laplace transform.
To solve differential equations by using Laplace transform.
To solve differential equations with method of series.
To obtain Fourier series of some functions.




 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  Prerequisite course is MAT201 for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  Mathematics I,II
 --COURSE CONTENT
1. Week  Definition of Laplace transform, linearity property and Laplace transform of some type of functions
2. Week  Related Theorems and Existance and Uniqueness
3. Week  Laplace transform of derivatives, integrals and Inverse Laplace transform
4. Week  Solutions of initial value problems by Laplace Transform
5. Week   Solutions of system of ODEs by Laplace Transform
6. Week  Series Solutions: Power Series Method, Theory and Operations
7. Week  Midterm Exam
8. Week  Odd, even and periodic functions
9. Week  Definition of Fourier Series.
10. Week  Convergence and Sum of a Fourier Series
11. Week  Fourier series of 2 pi periodic functions
12. Week  Fourier series of odd functions
13. Week  Fourier series of even functions
14. Week  Fourier series of functions that are defining in general interval.
15. Week  Partial Differential Equations, Basic Concepts Solution by Seperating Variables: Use of Fourier Series
16. Week  Final Exam
 -- RECOMMENDED OR REQUIRED READING
  1) Ersen Akyıldız, et all, Lectures on differential equations, Matematik Vakfı, Yayın No 1,2000. 2) W. E. Boyce and R. C. Prima, Elementary different
 -- 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
50
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
1
10
 Contribution of In-term Studies to Overall Grade  
60
 Contribution of Final Examination to Overall Grade  
40
 -- 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
14
3
42
 Searching in Internet and Library
14
0
0
 Designing and Applying Materials
14
0
0
 Preparing Reports
14
0
0
 Preparing Presentation
14
0
0
 Presentation
14
0
0
 Mid-Term and Studying for Mid-Term
2
13
26
 Final and Studying for Final
1
13
13
 Other
0
0
0
 TOTAL WORKLOAD: 
137
 TOTAL WORKLOAD / 25: 
5.48
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Have sufficient theoretical and practical background for a successful profession and application skills of fundamental scientific knowledge in the engineering practiceX
2Have skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situationsX
3Have the necessary technical, academic and practical knowledge and application confidence in the design and assessment of machines or mechanical systems or industrial processes with considerations of productivity, feasibility and environmental and social aspects.X
4Have the ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions
5Have the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologies
6Have ability of identifying the potential resources for information or knowledge regarding a given engineering issueX
7Have abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidenceX
8Have motivation for life-long learning and having known significance of continuous education beyond undergraduate studies for science and technologyX
9Is aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues
10Have the ability for effective oral and official communication skills in Turkish Language and, at minimum, one foreign languageX
11Have consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanityX
12well-structured responsibilities in profession and ethicsX