GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ADVANCED MATHEMATICS I/MAT201
Course Title: ADVANCED MATHEMATICS I
Credits 3 ECTS 5
Semester 3 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 select types of differential equations
To solve first order differential equations
To solve high order differential equations
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  Prerequisite courses are MAT101E, MAT102 for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  Mathematics I,II
 --COURSE CONTENT
1. Week  Classification of differential equations, Seperable equations
2. Week  Homogeneous equations
3. Week  Exact differensiyel equations
4. Week  İntegrating factor,
5. Week  Linear equation, Bernoulli equation,
6. Week  Riccati equation,
7. Week  Midterm exam,I
8. Week  The first order non-linear differential Equations,
9. Week  Lagrange equation,
10. Week  Clairaut equation,
11. Week  Higher order Linear Differential Equation, Basic theory
12. Week  Linear equation with constant coefficiants,homogeneous constant coefficient equations
13. Week  Non-homogeneous lineer differential equations,
14. Week  The method of variation of parameters
15. Week  Higher order lineer equation with variable coefficients, Euler-Cauch equations,
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
 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