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Basic Enumeration, Logic and Set Theory
- Apply basic enumeration techniques.
- Simplify assertions and compound statements in first-order logic.
- Apply basic set-theoretic concepts.
Algorithmic Concepts, Relations & Functions Part 1
- Apply the principles of mathematical induction and recursion.
- Solve problems of iteration.
- Manipulate relations and simple functions and their inverses.
- Apply the basic concepts of computational complexity and algorithmic analysis.
Relations & Functions Part 2 & More Enumeration
- Use the properties of relations.
- Apply the properties of equivalence relations and partitions.
- Use the Principle of Inclusion and Exclusion.
Graph Theory and Trees
- Identify graph isomorphisms, planarities, connected components, and chromatic numbers.
- Identify properties of a tree.
- Apply properties of general graphs.
Boolean Logic and Algebra
- Use the basic laws of Boolean algebra.
- Convert Boolean expressions into a disjunctive or conjunctive normal form.
- Apply the basic concepts of Boolean algebra.
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