Course Information

Course Information
Course Title Code Language Type Semester L+U Hour Credits ECTS
Mathematics MAT101 Turkish Compulsory 1. Semester 3 + 0 3.0 3.0
Prerequisite Courses
Course Level Undergraduate
Mode of delivery Face to face
Course Coordinator Doç. Dr. Merve İLKHAN KARA
Instructor(s) Doç. Dr. Merve İLKHAN KARA (Güz)
Goals To provide students with basic mathematical skills necessary for engineering education.
Course Content Clusters, Absolute Value and Properties, Inequalities, Directness and Analytic Analysis of the Circle, Function Concept, Some Special Functions (Force, Polynomial, Absolute Value Function), Trigonometric and Inverse Trigonometric Functions, Exponential, Logarithmic and Hyperbolic Functions Limit Concept, Right and Left Side Limits, Indeterminate Shapes, Limits of Trigonometric Functions Continuity in Functions, Properties of Continuous Functions (Theorem Theorem, Absolute Max, Min, Local Max, Min Definitions),Concept of derivative, rules of taking derivative Derivatives of Higher Order, Inverse Function, Derivative, Trigonometric Functions Derivatives of Inverse Trigonometric Functions, Derivative of Logarithm Function, Derivative of Hyperbolic and Inverse Hyperbolic Functions,Parametric Equations Derivatives of Functions Given, Derivative of Closed Functions Geometric Meaning of Derivative, Rolle Theorem, The Mean Value Theorem, Increasing and Decreasing Functions, Concave and Convex Functions, Maximum and Minimum Concepts, Maximum and Minimum Problems, Taylor Theorem, Indeterminate Shapes (L 'Hospital Rule) Indeterminate Shapes (L 'Hospital Rule) Continued, Differential Concept Polar Coordinates, Asymptotes
Learning Outcomes
# Öğrenme Kazanımı
1 Describe the concepts of cluster and number.
2 Recognize the function and some special functions.
3 It means that you can get a limit at one point in the functions.
4 Uses the properties of continuous functions.
5 Explains the concept of derivative.
6 Compare the physical and geometric meanings of the derivative.
7 Interpretation of derivative theorems.
8 Limit calculations in indefinite expressions.
9 Explain the curve drawings.
Lesson Plan (Weekly Topics)
Week Topics/Applications Method
1. Week Clusters, Absolute Value and Properties, Inequalities, Directness and Analytic Analysis of the Circle Interview Presentation (Preparation)
2. Week Function Concept, Some Special Functions (Force, Polynomial, Absolute Value Function), Trigonometric and Inverse Trigonometric Functions, Exponential, Logarithmic and Hyperbolic Functions Interview Presentation (Preparation)
3. Week Limit Concept, Right and Left Side Limits, Indeterminate Shapes, Limits of Trigonometric Functions Interview Presentation (Preparation)
4. Week Continuity in Functions, Properties of Continuous Functions (Theorem Theorem, Absolute Max, Min, Local Max, Min Definitions) Interview Presentation (Preparation)
5. Week Concept of derivative, rules of taking derivative Presentation (Preparation) Interview
6. Week Derivatives of Higher Order, Inverse Function, Derivative, Trigonometric Functions Interview Presentation (Preparation)
7. Week Derivatives of Inverse Trigonometric Functions, Derivative of Logarithm Function, Derivative of Hyperbolic and Inverse Hyperbolic Functions Presentation with projector/blackboard Interview Presentation (Preparation)
8. Week Derivatives of Inverse Trigonometric Functions, Derivative of Logarithm Function, Derivative of Hyperbolic and Inverse Hyperbolic Functions Presentation with projector/blackboard Presentation (Preparation) Interview
9. Week Parametric Equations Derivatives of Functions Given, Derivative of Closed Functions Presentation with projector/blackboard Presentation (Preparation) Interview
10. Week Geometric Meaning of Derivative, Rolle Theorem, The Mean Value Theorem, Increasing and Decreasing Functions, Concave and Convex Functions, Interview Presentation (Preparation)
11. Week Maximum and Minimum Concepts, Maximum and Minimum Problems, Taylor Theorem, Indeterminate Shapes (L 'Hospital Rule) Interview Presentation (Preparation)
12. Week Indeterminate Shapes (L 'Hospital Rule) Continued, Differential Concept Interview Presentation (Preparation)
13. Week Polar Coordinates, Asymptotes Interview Presentation (Preparation)
14. Week Curve drawings 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 DK4 DK5 DK6 DK7 DK8 DK9
PY1 5 5 5 5 5 5 5 5 5
PY2 1 1 1 1 1 1 1 1 1
PY3 3 3 3 3 3 3 3 3 3
PY4 3 3 3 3 3 3 3 3 3
PY5 2 2 2 2 2 2 2 2 2
PY6 2 2 2 2 2 2 2 2 2
PY7 2 2 2 2 2 2 2 2 2
PY8 1 1 1 1 1 1 1 1 1
PY9 2 2 2 2 2 2 2 2 2
PY10 2 2 2 2 2 2 2 2 2
PY11 3 3 3 3 3 3 3 3 3
PY12 2 2 2 2 2 2 2 2 2
PY13 2 2 2 2 2 2 2 2 2
PY14 3 3 3 3 3 3 3 3 3
PY15 2 2 2 2 2 2 2 2 2
Recommended Sources
Ders Kitabı veya Notu Ders Kitabı veya Ders Notu bulunmamaktadır.
Diğer Kaynaklar
  • Mustafa Balcı, Genel Matematik I, Balcı Yayınları,Cilt I, 2.Baskı, ,Ankara, 2003.
  • S. Lang, A First Course in Calculus, Fourth Edition,, Yale University, 1980.
  • H.H. Hacısalihoğlu, M. Balcı, F. Gökdal, Temel ve Genel Matematik, Cilt I, 3. Baskı, Ankara, 1988.
ECTS credits and course workload
ECTS credits and course workload Quantity Duration (Hour) Total Workload (Hour)
Ders İçi
Class Hours 14 3 42
Ders Dışı
Research 14 2 28
Other Activities 3 1.5 4.5
Sınavlar
Midterm 1 1 1 1
Final 1 1 1
Total Workload 76.5
*AKTS = (Total Workload) / 25,5 ECTS Credit of the Course 3.0