Undergraduate
Faculty of Science and Letters
Mathematics And Computer Science
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Partial Differential Equations

Course CodeSemester Course Name LE/RC/LA Course Type Language of Instruction ECTS
MB0070 Partial Differential Equations 2/2/0 DE Turkish 5
Course Goals
To give the fundamental knowledge about The Partial Differential Equations to whom may research in Applied Mathematics , in Physics and in Engineering
Prerequisite(s) None
Corequisite(s) To know how to differentiate and integrate
Special Requisite(s) To be succeded in all Analyses and Differential Equations Courses
Instructor(s) Assist. Prof. Dr. Günay Aslan
Course Assistant(s)
Schedule Day, hours, XXX Campus, classroom number.
Office Hour(s) Instructor name, day, hours, XXX Campus, office number.
Teaching Methods and Techniques -Lecture
Principle Sources -Class-room Notes
Other Sources -SNEDDON,I.N.,Elements of Partıal Differential Equations ; McGRAW-HILL ,1957
Course Schedules
Week Contents Learning Methods
1. Week A preview of The Ordinary Differerential Equations (ODE) : I Oral presentations
2. Week A preview of (ODE):II Oral presentations
3. Week Partial Derivatives and the Space Geometry Oral presentations
4. Week The Partial Differential Equations(PDE):Definitions and Origins Oral presentations
5. Week (PDE): General and Sİngular Solutions Oral presentations
6. Week Linear PDE of the First Order Oral presentations
7. Week Linear PDE with n Independent Variables Oral presentation
8. Week Midterm Exam Writing Examination
9. Week Nonlinear PDE of the First Order Oral presentation
10. Week Charpit's Method Oral presentation
11. Week Standard and standardizable Forms Oral presentation
12. Week Nonlinear PDE with n Independent Variables Oral presentation
13. Week Jacobi's Method Oral presentation
14. Week Consistent Systems of PDEs. Oral presentation
15. Week Final Exams Writing Examinations
16. Week Final Exams Writing Examinations
17. Week Final Exams Writing Examinations
Assessments
Evaluation tools Quantity Weight(%)
Midterm(s) 1 40
Homework / Term Projects / Presentations 1 10
Final Exam 1 50


Program Outcomes
PO-1Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science.
PO-2Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science.
PO-3Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence.
PO-4Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline.
PO-5Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science.
PO-6Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish.
PO-7Using time effectively in inventing solutions by implementing analytical thinking.
PO-8Understanding professional ethics and responsibilities.
PO-9Having the ability to behave independently, to take initiative, and to be creative.
PO-10Understanding the importance of lifelong learning and developing professional skills continuously.
PO-11Using professional knowledge for the benefit of the society.
Learning Outcomes
LO-1Understands how a PDE arises and recognizes the PDE ,whenever faced.
LO-2Learns what is a solution of a PDE and knows of the classification of PDEs according to the technics of solutions.
LO-3Knows how to determine the class of the PDE faced.
LO-4Knows how to solve the PDE according to the class of the PDE.
LO-5Knows how to model a physical , a geometric or an engineering problem as a PDE.
Course Assessment Matrix:
Program Outcomes - Learning Outcomes Matrix
 PO 1PO 2PO 3PO 4PO 5PO 6PO 7PO 8PO 9PO 10PO 11
LO 1
LO 2
LO 3
LO 4
LO 5