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IMZ1006 / Abstract Mathematics
GENERAL INFORMATION ABOUT THE COURSE
Course Code
Semester
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Course Level
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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
Understanding the axiomatic structure of mathematics
2
Knowing mathematical proof methods
3
Explaining the types of sets. Knowing the concepts of relation and function and making applications
4
Gaining mathematical thinking skills
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Course Category
Course Category
Percentage
Mathematics and Basic Sciences
Basic Vocational Courses
Expertise /Field Courses