Engineering Mathematics II
Mathematics
Institute of Natural and Applied Sciences
Second Cycle (Master's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Engineering Mathematics II | FBE502 | Elective | Master's degree | 1 | Spring | 10 |
Name of Lecturer(s)
Prof. Dr. Ali DEMİR
Learning Outcomes of the Course Unit
1) Classify PDE Problems and express the properties of them.
2) Solve Heat equations.
3) Solve Wave equations.
4) Solve Laplace equations.
5) Define Calculus of Variations and apply.
6) Define non-linear systems and can know theorems related to it.
7) Express the special functions and the properties of them.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
| Learning Outcomes | ||||||||
| 1 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 6 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 7 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Differential equations
Course Contents
Classification of PDE, First-Order Linear PDE, Heat Equation, Wave Equation, Energy Methods, Laplace Equation, Calculus of Variations.
Weekly Schedule
1) Classification of PDE's.2) Classification of PDE's.
3) Heat Equation.
4) Heat Equation.
5) Heat Equation.
6) Wave Equation.
7) Wave Equation.
8) Wave Equation.
9) Laplace Equation.
10) Laplace Equation.
11) Laplace Equation.
12) Calculus of Variations
13) Calculus of Variations
14) Calculus of Variations
15) Calculus of Variations
Recommended or Required Reading
1- Partial Differential Equations by David Logan,
2- Intro to Partial Differential Equations by Peter Olver
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Contribution of Presentation/Seminar to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required