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Informatics and Cybersecurity
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Module 1
Mathematical Language, Sets, and Functions
1
Translating Integer and Algorithm Statements into Propositions
Translate statements about integers and algorithms into propositions using logical connectives.
2
Truth Values and Negations of Quantified Statements
Determine the truth value of quantified statements and write their negations.
3
Operations on Finite Sets
Perform union, intersection, difference, and Cartesian-product operations on finite sets.
4
Using Membership, Subset, and Cardinality Notation
Use membership, subset, and cardinality notation correctly in worked problems.
5
Analyzing Relation Properties
Determine whether a relation is reflexive, symmetric, antisymmetric, or transitive.
Partitioning Finite Sets into Equivalence Classes
Partition a finite set into the equivalence classes induced by a given equivalence relation.
7
Classifying Functions: Injective, Surjective, and Bijective
Determine whether a function is injective, surjective, or bijective.
8
Exact Expressions and Logarithm Approximations in Python
Evaluate integer, fraction, and power expressions exactly in Python and approximate logarithms to a stated precision.
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