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EDUCATION FACULTY / ELEMENTARY MATHEMATICS EDUCATION / IMZ1006 - ABSTRACT MATHEMATICS
GENERAL INFORMATION ABOUT THE COURSE
Course Code
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Course Title
Theoretical
Practical
ECTS
Turkish Name of the Course
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Course Objective
Teaching the mathematical language and it's fundamental concepts. Interpreting mathematics as forming and investigating mathematical systems in an axiomatic order, drawing logical conclusions out of axioms and definitions, gaining logical thinking.
Brief Content of the Course
Symbolic logic, methods of mathematical proof; sets, algebra of sets, families of sets, partition of sets, product sets; relations, inverse relations, composition of relations, equivalence relations and classes, order relations; partially ordered set, totally ordered set; functions, one-to-one functions and onto functions composition of functions inverse of functions permutations, operations.
Prerequisites
Course Objectives
Course Objectives
1
Acquiring basic knowledge about symbolic logic and set concepts.
2
Acquiring knowledge and skills about relations and their properties.
3
Learning basic concepts about functions and function types.
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Expertise /Field Courses