Course Name Code Semester T+U Hours Credit ECTS
Fundamentals Of Mathematics IME 506 0 3 + 0 3 6
 Precondition Courses Recommended Optional Courses Course Language Turkish Course Level yuksek_lisans Course Type Optional Course Coordinator Dr.Öğr.Üyesi ERCAN MASAL Course Lecturers Course Assistants Res.Asst.Mithat TAKUNYACI Course Category Field Proper Education Course Objective Introduce students of elementary mathematics with concepts of basic mathematics and inform them about construction of number system by the help of their historical evolution Course Content Natural numbers, Peano Axioms , ordering natural numbers, countable, integers and features, Tamsayılar ve özellikleri , definition of rational numbers and features, rational number sequences, positive real numbers, real number sequences, principle of supremum, decimal presentation, number axis and extended real number system,, definition of complex numbers, conjugate and absolute value, basic theorem of algebra.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Explain construction of national numbers. Lecture, Question-Answer, Discussion, Testing, Homework,
2 Express construction of rational numbers and their properties and relate them with integers. Lecture, Question-Answer, Discussion, Testing, Homework,
3 Express the properties of rational numbers and construction of rational numbers and relate with whole numbers. Lecture, Question-Answer, Discussion, Testing, Homework,
4 Explain the construction of real numbers. Lecture, Question-Answer, Discussion, Testing, Homework,
5 Express the complex numbers and subjects of operations on complex numbers. Lecture, Question-Answer, Discussion, Testing, Homework,
6 Solve problems related solution of equation and inequality by the help of definited operations on given construction of every number system. Lecture, Question-Answer, Discussion, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Natural numbers, Peano indications
2 Ordering natural numbers, countable
3 Definitions of integers and their properties
4 Integers and their properties
5 Definition of rational numbers
6 Properties of rational numbers
7 Sequences of rational numbers, Cauchy sequences
8 Definitions of real numbers and their properties
9 Mid – Term Exam
10 Positive real numbers, sequences of real number
11 Principle of least upper bound (L.U.B), decimal notation
12 Number axis and extended real number system
13 Definition of complex numbers, conjugate and absolute value
14 Basic Theorem of Algebra
Resources
Course Notes
Course Resources
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 50
1. Kısa Sınav 15
1. Ödev 20
2. Kısa Sınav 15
Total 100
1. Yıl İçinin Başarıya 60
1. Final 40
Total 100