Course Information

Course Information
Course Title Code Language Type Semester L+U Hour Credits ECTS
Engineering Mathematics BMZ201 Turkish Compulsory 3. Semester 2 + 2 3.0 4.0
Prerequisite Courses
Course Level Undergraduate
Mode of delivery Face to face
Course Coordinator
Instructor(s)
Goals The objective of this course is to impart to students the knowledge and skills that constitute the foundation of Engineering Mathematics topics.
Course Content Vector, right, plane concepts in R ^ 3 and properties of these concepts Limit, continuity, derivative, integral and curvature in vector valued functions Multivariable functions, limit and continuity in multivariable functions Partial derivative, differential and differentiability in multivariable functions Tangent plane and chain rule in multivariable functions Directional derivative and gradient Taylor series expansion in two variant functions Maximum and minimum problems in multivariable functions Double integrals and applications Mass and gravity center in double integrals Mass and gravity center in double integrals Variable change in double integrals, polar coordinates Curvilinear integrals and applications
Learning Outcomes
# Öğrenme Kazanımı
1 The student acquires a fundamental knowledge base related to Engineering Mathematics.
2 The student analyzes multivariable functions.
3 The student articulates the relationship between Engineering and Integrals.
Lesson Plan (Weekly Topics)
Week Topics/Applications Method
1. Week Vector, right, plane concepts in R ^ 3 and properties of these concepts Interview Presentation (Preparation)
2. Week Limit, continuity, derivative, integral and curvature in vector valued functions Presentation (Preparation) Interview
3. Week Multivariable functions, limit and continuity in multivariable functions Interview Presentation (Preparation)
4. Week Partial derivative, differential and differentiability in multivariable functions Presentation (Preparation) Interview
5. Week Tangent plane and chain rule in multivariable functions Interview Presentation (Preparation)
6. Week Directional derivative and gradient Interview Presentation (Preparation)
7. Week Taylor series expansion in two variant functions Interview Presentation (Preparation)
8. Week Taylor series expansion in two variant functions Presentation (Preparation) Interview
9. Week Maximum and minimum problems in multivariable functions Interview Presentation (Preparation)
10. Week Maximum and minimum problems in multivariable functions Interview Presentation (Preparation)
11. Week Double integrals and applications Interview Presentation (Preparation)
12. Week Mass and gravity center in double integrals Presentation (Preparation) Interview
13. Week Mass and gravity center in double integrals Interview Presentation (Preparation)
14. Week Variable change in double integrals, polar coordinates, Curvilinear integrals and applications Interview Presentation (Preparation)
*Midterm and final exam dates are not specified in the 14-week course operation plan. Midterm and final exam dates are held on the dates specified in the academic calendar with the decision of the University Senate.
The Matrix for Course & Program Learning Outcomes
No Program Requirements Level of Contribution
1 2 3 4 5
1 Utilizes (or Applies) knowledge of natural sciences and mathematics in developing various processes in their field.
2 Demonstrates adherence (or behaves) to ethical and deontological principles in decision-making and implementation processes.
3 Utilizes (or Applies) scientific and technological developments in the applications within their field.
4 Integrates (or Combines) fundamental engineering knowledge with technical tools to solve engineering problems in their field using an analytical approach.
5 Designs all technical systems, system components, and production processes relevant to their field.
6 Implements (or Applies) plant and animal production processes in accordance with scientific and technical principles.
7 Utilizes (or Employs) data-driven core technologies in agricultural production processes.
8 Applies (or Implements) sustainability principles and approaches to agricultural processes.
9 Utilizes (or Applies) managerial and institutional knowledge related to agriculture, while considering (or observing) global and local developments.
10 Manages soil and water resources and agricultural waste sustainably by integrating scientifically based irrigation, drainage, and soil conservation systems with precision agriculture and digital water management technologies.
11 Designs agricultural machinery and equipment for agricultural production and post-harvest processes, evaluates their performance, and enhances their efficiency through automation.
12 Develops functional and environmentally sensitive (or sustainable) solutions in the design of agricultural structures (such as greenhouses, barns, and pens) by utilizing modern engineering and construction technologies.
13 Analyzes energy efficiency for agriculture and develops effective systems by integrating biofuel production and other sustainable energy sources
14 Analyzes precision agriculture data (such as satellite imagery, unmanned aerial vehicles (UAVs), and handheld radiometers) to develop and implement systems that optimize resource management.
15 Executes entrepreneurial projects developed based on legal and ethical boundaries by following current developments, manages them through interdisciplinary collaboration, and transfers the acquired knowledge to stakeholders.
Relations with Education Attainment Program Course Competencies
Program Requirements DK1 DK2 DK3
PY1 5 5 5
PY2 1 1 1
PY3 1 1 1
PY4 1 1 1
PY5 2 2 2
PY6 1 1 1
PY7 1 1 1
PY8 1 1 1
PY9 1 1 1
PY10 1 1 1
PY11 1 1 1
PY12 2 2 2
PY13 1 1 1
PY14 1 1 1
PY15 1 1 1
Recommended Sources
Ders Kitabı veya Notu Ders Kitabı veya Ders Notu bulunmamaktadır.
Diğer Kaynaklar
  • A. Tekcan. İleri Analiz. Dora Yayıncılık, 2009.
  • P.V. O’Neil, İleri Mühendislik Matematiği, Nobel Yayınları, 2013.
  • A.I. Khuri. Advanced Calculus with Applications in Statistics, 2nd Edition, Wiley-Interscience, 2002.
ECTS credits and course workload
ECTS credits and course workload Quantity Duration (Hour) Total Workload (Hour)
Ders İçi
Class Hours 14 4 56
Ders Dışı
Research 14 3 42
Other Activities 2 1 2
Sınavlar
Midterm 1 1 1 1
Final 1 1 1
Total Workload 102
*AKTS = (Total Workload) / 25,5 ECTS Credit of the Course 4.0