Course Information

Course Information
Course Title Code Language Type Semester L+U Hour Credits ECTS
Mathematics I MAT101 Turkish Compulsory 1. Semester 3 + 0 3.0 3.0
Prerequisite Courses
Course Level Undergraduate
Mode of delivery Face to face
Course Coordinator Prof. Dr. Merve İLKHAN KARA
Instructor(s) Prof. Dr. Merve İLKHAN KARA (Güz)
Goals The purpose of this course is to teach the basic mathematical techniques to analyze problems, math skills required to be able to introduce. A large number of sample problems with mathematics, the availability of practical emphasis.
Course Content Improve the student's ability to think abstractly and learn topics in mathematics.
Learning Outcomes
# Öğrenme Kazanımı
1 The cluster concept and recognize the set of real numbers.
2 Functions defined on the set of real numbers with basic features to examine.
3 Limits of functions, continuity and derivatives learn the concepts.
4 To solve the derivative
5 To draw the graph of a given function
6 Differential learn the concept.
7 To calculate the approximate value of the differential with the concept.
Lesson Plan (Weekly Topics)
Week Topics/Applications Method
1. Week Numbers, Cluster Concept, Real Numbers, Intervals
2. Week Absolute Value, Exponential and Numbers, logarithms
3. Week Algebraic functions, polynomial functions, rational functions, exponential functions, logarithmic functions.
4. Week Limits and Continuity, a Variable Limit, Limit of a Function
5. Week Limit Concerning Applications, Concept of Continuity of Functions
6. Week Sequences and Series
7. Week Introduction to Derivatives, Derivatives Left, Right Derivatives
8. Week Derivatives Rules
9. Week Derivatives of Inverse Functions, Composition of Functions Derivatives, Derivatives of Parametric Functions
10. Week Implicit Differentiation, Successive Derivatives, trigonometric, Derivatives of Functions.
11. Week Derivatives of inverse trigonometric functions, logarithmic and exponential functions
12. Week Ascending Descending Functions, Extreme Points, convexity, concavity And Graphics Drawing
13. Week Extreme Problems, Mean Value Theorem
14. Week Aid Derivative of a Function Plots, Curve Asymptote Containing Drawings
*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 Uses science and math knowledge to develop various processes in the field.
2 Demonstrates behavior consistent with ethical and deontological principles in decision-making and implementation processes.
3 It is used in applications in the field of scientific and technological developments.
4 Integrates fundamental engineering knowledge with technical tools to solve engineering problems in the field using an analytical approach.
5 Designs all technical systems, system components, and production processes related to their field.
6 It implements plant and animal production processes in accordance with scientific and technical principles.
7 It uses data-driven core technologies in the agricultural sector in production processes.
8 Applies sustainability principles and approaches to agricultural processes.
9 Uses administrative and institutional information related to agriculture, taking into account global and local developments.
10 By analyzing the life dynamics of plant diseases, harmful organisms, and weeds, it develops innovative solutions to these problems.
Relations with Education Attainment Program Course Competencies
Program Requirements DK1 DK2 DK3 DK4 DK5 DK6 DK7
PY1 3 3 3 3 3 3 3
PY2 3 3 3 3 3 3 3
PY3 3 3 3 3 3 3 3
PY4 4 4 4 4 4 4 4
PY5 3 3 3 3 3 3 3
PY6 4 4 4 4 4 4 4
PY7 4 4 4 4 4 4 4
PY8 4 4 4 4 4 4 4
PY9 3 3 3 3 3 3 3
PY10 3 3 3 3 3 3 3
Recommended Sources
Ders Kitabı veya Notu Ders Kitabı veya Ders Notu bulunmamaktadır.
Diğer Kaynaklar
  • Sherman K. Stein ve Anthony Barcellos Calculus ve Analitik Geometri, Cilt 1 ve 2. Türkçesi: Beno Kuryel ve Firuz Balkan. Literatür Yayıncılık San. Tic. Ltd. Şti.
  • George B Thomas, Ross L.Finney “Calculus ve Analitik Geometri”, Addison Wesley Tenth Edition, New York, Türkçe, (çeviren: Recep Korkmaz)
Evaluation Method
Güz Dönemi
Responsible Personnel Grup Evaluation Method Percentage
Prof. Dr. Merve İLKHAN KARA Vize 40.00
Prof. Dr. Merve İLKHAN KARA Final 60.00
Toplam 100.00
ECTS credits and course workload
ECTS credits and course workload Quantity Duration (Hour) Total Workload (Hour)
Ders İçi
Class Hours 14 3 42
Sınavlar
Midterm 1 1 13 13
Homework 1 10 2 20
Final 1 27 27
Total Workload 102
*AKTS = (Total Workload) / 25,5 ECTS Credit of the Course 3.0