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Course Unit Title Course Unit Code Type of Course Unit Level of Course Unit Year of Study Semester ECTS Credits
Mathematics I (de) MUP109 Compulsory Associate degree 1 Fall 3

Name of Lecturer(s)

Associate Prof. Dr. Sinan AYDIN
Associate Prof. Dr. Mehmet Emre ERGİN

Learning Outcomes of the Course Unit

1) Operate on Numbers- Natural Numbers-Integer Numbers set
2) Explain Rational and Real Numbers sets with their specilities.
3) Do operations on Polynomial set
4) Find the roods of Quadratic equations
5) convert into quadratic equations
6) Solve Inequality problems
7) Make operations on matrix
8) Make Determinant operations
9) Solve Linear equation systems
10) Do Logarithmic algorithms
11) Describe on trigonometric fonctions
12) Use transformasyon formules
13) Operation on Komplex Numbers
14) Describe fuctions and their proporties

Program Competencies-Learning Outcomes Relation

Bölümün/programın program yeterlilikleri sistemde olmadığından ilişkilendirme işlemi yapılamamıştır.

Mode of Delivery

e-course

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

None

Course Contents

Numbers, Numbers with fractional power, Square roots of numbers and examples about them, Algebra, Factorization of polynomials, Rational numbers and examples about them, Equations of the first order, Aplications, Equations of the second order, Inequalities The first and the second order inequalities and examples about them, The definition of function,one to one functions,surjective functions,Injective functions, Drawing graph of the second order function, The definition of inverse functions, Examples about how to take invers of a function, The definition of composition of functions, Examples, Trigonometry, Examples, Trigonometric functions and examples, Inverse trigonometric functions and identical functions, Examples about them, Trigonometric equations and the graph of trigonometric functions, Exponential functions,logarithm, The properties of logarithm, Examples about them, Logarithmic and exponential equations, Complex numbers, Addition, Substraction, Multiplication and division of logarithmic functions, Trigonometric expansion of complexs numbers (polar coordinates), Solving equations ın complex number, Examples about them

Weekly Schedule

1) Numbers
2) Rational numbers
3) Polinoms
4) Equations
5) Equations
6) Inequality
7) Matrix
8) Mid-term exam
9) Determinants
10) Linear equation
11) Logaritma
12) Trigonometry
13) Conversion formulas
14) Complex numbers
15) Functions
16) Final exam

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Discussion


Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade

20%

Contribution of Final Examination to Course Grade

80%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required