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…