Course Information

Course Information
Course Title Code Semester L+U Hour Credits ECTS
Engineering Mathematics EEM210 4. Semester 3 + 0 3.0 5.0
Prerequisites None
Language of Instruction Turkish
Course Level Undergraduate
Course Type
Mode of delivery in class
Course Coordinator Assist. Prof. Dr. Oğuzhan DEMİRYÜREK
Instructors Filiz BİRBİR ÜNAL
Assistants
Goals
Course Content
Learning Outcomes - Ability to define vector problems in Cartesian, cylindrical and spherical coordinates; ability to perform transformations between coordinate systems.
- Ability to use vector operators and solve vector problems.
- Ability to use complex numbers
- Ability to perform Laplace and Inverse Laplace Transforms
Weekly Topics (Content)
Week Topics Learning Methods
1. Week Scalar and vector quantities, scalar and vector field concepts, vector arithmetic. Unit and position vector Course Hours Verbal Expression Practice Preparation, After Class Study
2. Week Orthogonal coordinate systems; Cartesian, cylindrical coordinate systems and point and vector transformations in these systems Course Hours Verbal Expression Preparation, After Class Study Practice
3. Week Spherical coordinate system, point and vector representation in this system and spherical-cylindrical and spherical-Cartesian point and vector transformations Preparation, After Class Study Verbal Expression Practice Course Hours
4. Week Exact differential and vector derivatives, nabla operator, gradient and Laplacian concepts Verbal Expression Preparation, After Class Study Course Hours Practice
5. Week Vector derivatives : Divergence of a vector fields Course Hours Preparation, After Class Study
6. Week Vector derivatives : Curl of a vector fields Preparation, After Class Study Course Hours Verbal Expression Practice
7. Week Line, surface and volume integrals for vector fields Verbal Expression Preparation, After Class Study Course Hours Practice
8. Week Line, surface and volume integrals for vector fields Preparation, After Class Study Course Hours
9. Week Gauss - Ostrogradsky theorem Course Hours Preparation, After Class Study
10. Week Stokes' Theorem Preparation, After Class Study Course Hours
11. Week Complex numbers and complex plane Preparation, After Class Study Course Hours
12. Week De Moivre Theorem Course Hours Preparation, After Class Study
13. Week Laplace Transform Course Hours Preparation, After Class Study
14. Week Inverse Laplace Transform Preparation, After Class Study Course Hours
Recommended Sources
F. Birbir Ünal, O. Demiryürek, Ders Notu
M. R. Spiegel, Vector analysis, Schaum Outline series, 2019.
Relations with Education Attainment Program Course Competencies
Program Requirements Contribution Level DK1 DK2 DK3 DK4 Measurement Method
PY1 5 5 5 5 5 40,60
PY2 5 0 0 0 0 40,60
PY3 1 0 0 0 0 -
PY4 4 0 0 0 0 40,60
PY6 1 0 0 0 0 -
PY7 0 0 0 0 0 -
PY8 2 0 0 0 0 -
PY9 2 0 0 0 0 -
PY10 0 0 0 0 0 -
PY11 0 0 0 0 0 -
*DK = Course's Contrubution.
0 1 2 3 4 5
Course's Level of contribution None Very Low Low Fair High Very High
Method of assessment/evaluation Written exam Oral Exams Assignment/Project Laboratory work Presentation/Seminar
ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Midterm 1 1 36 36
Final 1 36 36
Practice 14 1 14
Classroom Activities 14 3 42
Total Workload 128
ECTS Credit of the Course 5.0