Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
MATHEMATICS I DFT101 1. Semester 3 + 0 3.0 5.0

Prerequisites None

Language of Instruction Turkish
Course Level Associate's Degree
Course Type Compulsory
Mode of delivery
Course Coordinator
Instructors Aslıhan GÜLSÜN
Assistants
Goals To understand the set of real numbers, the function types and function to introduce the concept, understand the set of complex numbers, induction teach the concepts of addition and multiplication symbols, and serial number.
Course Content • Set of natural numbers, integers, rational numbers set, a set of real numbers and their properties. Quadratic equations and inequalities, analytic study of lines, circles analytical analysis and related applications. The concept of function, polynomials, rational functions, trigonometric functions, hyperbolic functions, exponential and logarithmic functions, elementary functions and their inverses. Graphs of the functions. The principle of induction, the symbol of addition and multiplication properties, basic concepts of sequences and series. Complex numbers and their properties.
Learning Outcomes 1) Solves problems with natural, whole, rational and real numbers.
2) Solves the problem of quadratic equations and inequalities and analytical examination of the line and the circle.
3) Solves problems with functions, polynomials, rational, trigonometric, hyperbolic, exponential and logarithmic functions and their inverse.
4) Draws the graphs of functions.
5) Solves the problem of inductive principle and properties of sum-product symbols.
6) Solves problems related to sequences and series.
7) Solves problems related to complex numbers and their properties.

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Natural Numbers, Integers, Rational Numbers, Real Numbers and Their Properties Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
2. Week Natural Numbers, Integers, Rational Numbers, Real Numbers and Their Properties Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
3. Week Quadratic equations and inequalities, analytical study of the line, analytical study of the circle Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
4. Week Quadratic equations and inequalities, analytical study of the line, analytical study of the circle Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
5. Week Function, polynomial, rational and trigonometric functions, hyperbolic, exponential and logarithmic functions and their inverse Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
6. Week Function, polynomial, rational and trigonometric functions, hyperbolic, exponential and logarithmic functions and their inverse Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
7. Week Function, polynomial, rational and trigonometric functions, hyperbolic, exponential and logarithmic functions and their inverse Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
8. Week MIDTERM EXAM

9. Week Graphs of Functions Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
10. Week Graphs of Functions Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
11. Week Induction Principle, Sum and Product Symbol Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
12. Week Sequences and series Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
13. Week Complex Numbers Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework
14. Week Complex Numbers Lecture; Question Answer; Problem Solving
Brainstorming
Problem Based Learning
Homework

Sources Used in This Course
Recommended Sources
Calculus James Stewart, Fifth Edition
MATEMATİK, Yrd. Doç. Dr. Ali ERDOĞAN, NOBEL, Genişletilmiş 2. basım, 2012
Meslek Yüksekokulları için Matematik, Prof.Dr. H. Hilmi HACIOĞLU, Prof. Dr. Hüseyin HALİLOV, Siyasal Kitapevi

Relations with Education Attainment Program Course Competencies
Program RequirementsContribution LevelDK1DK2DK3DK4DK5DK6DK7
PY150000000
PY250000000
PY350000000
PY450000000
PY550000000

*DK = Course's Contrubution.
0 1 2 3 4 5
Level of contribution None Very Low Low Fair High Very High
.

ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Duration (Total weeks*Hours per week) 14 5
Work Hour outside Classroom (Preparation, strengthening) 14 5
Homework 2 2
Presentation (Including Preparation Time) 1 1
Quiz 1 1
Time to prepare for Quiz 1 2
Midterm Exam 1 1
Time to prepare for Midterm Exam 1 2
Final Exam 1 1
Time to prepare for Final Exam 1 2
1 1
1 1
1 1
1 1
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course
Quick Access Hızlı Erişim Genişlet
Course Information