Mathematical Logic — Class 12 Maharashtra HSC Mathematics revision notes
A 4-page visual revision sheet for Mathematical Logic, written for Class 12 Maharashtra HSC Mathematics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Mathematical Logic sheet covers
- Statements and Logical Connectives
- Truth Tables
- Conjunction, p∧q
- Disjunction, p∨q
- Conditional, p→q
- Biconditional, p↔q
- Truth Table: p, q and the Four Connectives
- p=T, q=T
- p=T, q=F
- p=F, q=T
- p=F, q=F
- Connectives as Logic Gate Symbols
- Negation of a statement
- Statement Patterns
- Logical Equivalence
- Tautology, Contradiction, Contingency
- Tautology, t
- Contradiction, c
- Contingency
- Quantifiers
- Negation
- Negation of compound statements
- Converse, Inverse, Contrapositive of p→q
- Converse
- Inverse
- Contrapositive
- Algebra of statements
- idempotent
- commutative
- associative
- distributive
- De Morgan's
- identity
- complement
- absorption
- conditional law
- biconditional law
- Duals
- Symbols
- series
- parallel
- equivalent circuits
- Switching Circuits
- Worked: proving a logical equivalence
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans Mathematics chapter by chapter against your real exam dates and free hours, and when the plan reaches Mathematical Logic the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.