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