Graduate
Institute of Graduate Studies
Geotechnical Enginnering (PHD)
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Engineering Mathematics

Course CodeSemester Course Name LE/RC/LA Course Type Language of Instruction ECTS
İMYY1001 1 Engineering Mathematics 3/0/0 CC Turkish 9
Course Goals
 To gain experience about combining engineering problems and mathematics.
Prerequisite(s) NONE
Corequisite(s) NONE
Special Requisite(s) The minimum qualifications that are expected from the students who want to attend the course.(Examples: Foreign language level, attendance, known theoretical pre-qualifications, etc.)
Instructor(s) Professor Faruk Yükseler
Course Assistant(s) NONE
Schedule Monday 13:00-16:00
Office Hour(s) Monday 16:00-17:00
Teaching Methods and Techniques -Lecture and Discussion
Principle Sources -G.Ağargün ve H.Özdağ; Lineer Cebir ve Çözümlü Problemleri, 2011.
Other Sources -E.Kreyszig, Advanced Engineering Mathematics, 1972.

-M.İnan, Cisimlerin Mukavemeti, 1981.
Course Schedules
Week Contents Learning Methods
1. Week Linear Algebra Lecture and Discussion
2. Week Linear Algebra Lecture and Discussion
3. Week Vector Algebra Lecture and Discussion
4. Week Vector Algebra Lecture and Discussion
5. Week Differantial Equations Lecture and Discussion
6. Week Differantial Equations Lecture and Discussion, Written Exam
7. Week Differantial Equations Lecture and Discussion
8. Week Partial Differantial Equations Lecture and Discussion
9. Week Partial Differantial Equations Lecture and Discussion
10. Week Partial Differantial Equations Lecture and Discussion, Oral Exam
11. Week Energy Methods Lecture and Discussion
12. Week Energy Methods Lecture and Discussion
13. Week Forier Series and Transformations Lecture and Discussion
14. Week Forier Series and Transformations Lecture and Discussion
15. Week
16. Week
17. Week
Assessments
Evaluation tools Quantity Weight(%)
Midterm(s) 1 45
Homework / Term Projects / Presentations 1 20
Final Exam 1 35


Program Outcomes
PO-1Develop and deepen the current and advanced knowledge in the field with original thought and/or research and come up with innovative definitions based on Master's degree qualifications.
PO-2Conceive the interdisciplinary interaction which the field is related with ; come up with original solutions by using knowledge requiring proficiency on analysis, synthesis and assessment of new and complex ideas.
PO-3Evaluate and use new information within the field in a systematic approach.
PO-4Develop an innovative knowledge, method, design and/or practice or adapt an already known knowledge, method, design and/or practice to another field; research, conceive, design, adapt and implement an original subject.
PO-5Critical analysis, synthesis and evaluation of new and complex ideas.
PO-6Gain advanced level skills in the use of research methods in the field of study.
PO-7Contribute the progression in the field by producing an innovative idea, skill, design and/or practice or by adapting an already known idea, skill, design, and/or practice to a different field independently.
PO-8Broaden the borders of the knowledge in the field by producing or interpreting an original work or publishing at least one scientific paper in the field in national and/or international refereed journals.
PO-9Demonstrate leadership in contexts requiring innovative and interdisciplinary problem solving.
PO-10Develop new ideas and methods in the field by using high level mental processes such as creative and critical thinking, problem solving and decision making.
PO-11Investigate and improve social connections and their conducting norms and manage the actions to change them when necessary.
PO-12Defend original views when exchanging ideas in the field with professionals and communicate effectively by showing competence in the field.
PO-13Ability to communicate and discuss orally, in written and visually with peers by using a foreign language at least at a level of European Language Portfolio C1 General Level.
PO-14Contribute to the transition of the community to an information society and its sustainability process by introducing scientific, technological, social or cultural improvements.
PO-15Demonstrate functional interaction by using strategic decision making processes in solving problems encountered in the field.
PO-16Contribute to the solution finding process regarding social, scientific, cultural and ethical problems in the field and support the development of these values.
Learning Outcomes
LO-1Having an ability of using Forier Series to solve mathematical problems.
LO-2Having an ability of using Linear Algebra to solve mathematical problems.
LO-3Having an ability of using Differantial Equations to solve mathematical problems.
LO-4Having an ability of using Partial Differantial Equations to solve mathematical problems.
LO-5Having an ability of using Vector algebra to solve mathematical problems.
Course Assessment Matrix:
Program Outcomes - Learning Outcomes Matrix
 PO 1PO 2PO 3PO 4PO 5PO 6PO 7PO 8PO 9PO 10PO 11PO 12PO 13PO 14PO 15PO 16
LO 1
LO 2
LO 3
LO 4
LO 5