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• 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