Equivalence relations, partitions, quotient set
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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
