Study Notes

Day 59 – 1.205 Laws of sets: Commutative, associative and distributives – Set Identities

Set Identities: 1 – Commutativity Changing the order of elements won’t affect the results. Example in…
Day 58 – Logic Laws

We can use logical equivalences to reduce complex formulas into simpler ones. Two new symbols Identity…
Day 57 – Proofs with Truth Tables

Proofs using Truth Tables Formulas p and q are logically equivalent iff the truth conditions of…
Day 56 – Truth Tables

Review: Each statement is TRUE (1) or FALSE (0). All connectives take a truth value and…
Day 55 – Propositional Logic

Propositional Logic A statement is a declarative sentence that can be True (1) or False (0).…
Day 54 – De Morgan’s Law

De Morgan’s laws describe how mathematical statements and concepts are related through their opposites. In set…
Day 53 – Set Representation and Manipulation

Universal Set A universal set is a set that contains everything. We note the universal set…
Day 52 – Alphabets and Strings in Discrete Math

A string is a finite sequence of symbols from an alphabet. A set of binary. The…
Day 51 – Algebra Review Part 1

Combining Like Terms Combining like terms with negative coefficients & distribution We group same terms. We…
Day 50 – Solving Quadratics by Factoring

We’re asked to solve for s. This is a quadratic equation. The best way to solve…