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Elements of Set Theory and Mathematical Logic(MATH-5102)
Partition of set, Cartesian product with examples and exercise
Partition of set, Cartesian product with examples and exercise
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set-theory-and-related-topics.pdf (37.66 MB )
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Course Material
Introduction: Sets: definition, examples, exercise
Subsets, definition, examples, exercise
Operations on set
Counting principles and algebra of sets
Families of sets with examples
Partition of set, Cartesian product with examples and exercise
Functions: definition and its types
Graph of function and composition and inverse functions
Winter Break
Mid Term Exam
Cardinality of all functions from a set to another set
Cardinality of injective, surjective and bijective functions
Countable sets, properties, Zorn’s lemma and similar triangles
Cantor- Bernstein theorem and Truth tables
Equivalence relations, partitions, quotient set
Order relations, min, max, inf, sup and linear order
Final Term Exam
Chapters
17
Department
Mathematics
Teacher
Ms. Maira Hafeez