Engineering Mathematics
Environmental Engineering
Faculty of Engineering
First Cycle (Bachelor's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Engineering Mathematics | CEV201 | Compulsory | Bachelor's degree | 2 | Fall | 4 |
Name of Lecturer(s)
Prof. Dr. Zahir MURADOĞLU
Research Assistant Ebru AYDOĞDU
Research Assistant ELIF GÜNER
Research Assistant Dr. Gülcan ÖZKUM
Learning Outcomes of the Course Unit
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2) .
3) .
4) .
5) .
6) .
7) .
Program Competencies-Learning Outcomes Relation
| Program Competencies | |||||
| 1 | 2 | 3 | 4 | ||
| Learning Outcomes | |||||
| 1 | High | High | Middle | No relation | |
| 2 | High | High | Middle | No relation | |
| 3 | Middle | Middle | Low | No relation | |
| 4 | High | Middle | Low | No relation | |
| 5 | High | Middle | Middle | No relation | |
| 6 | High | High | Middle | No relation | |
| 7 | Middle | High | Middle | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
This lesson covers fundamental notions and models related to differential equations, first order differential equations, seperable, homogeneous, Linear, Bernoulli and Riccati type differential equations, exact differential equations and integration factor, first order higher degree equations, higher order differential equations, higher order equations with constant coefficients, method of parameters variation, mathematical models of environmental problems
Weekly Schedule
1) Basic concepts and models related to differential equations2) First order differential equations: seperable, homogeneous
3) First order differential equations: Linear and Bernoulli type diff. equations
4) Riccati and Exact differential equations
5) Integral factor
6) First order higher degree equations
7) Higher order differential equations
8) Midterm examination
9) Higher order differential equations with constant coefficients
10) Method of parameters variation
11) Differential equations with variable coefficients
12) Mathematical models of environmental problems
13) Mathematical models of environmental problems
14) Mathematical models of environmental problems
15) Mathematical models of environmental problems
16) Final examination
Recommended or Required Reading
1- Elementary Differential Equations and Boundary Value Problems, William E. Boyce and Richard C. DiPrima, 6-th edition.
2- Shepley L. Ross, Introduction to Ordinary Differential Equations, Ginn and Company
3- Hüseyin Halilov, Diferansiyel Denklemler ve Lineer Cebrin Elemanları, Literatür Yayınları, 2011
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Modelling
6) Group Study
7) Brain Storming
8) Self Study
9) Problem Solving
10) Project Based Learning
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required