MATH1061 — Dashboard

Course landing note · 4 weeks · 24 notes

Week 1

Lectures

• 2026-07-27 · Lecture 1 — Welcome & Warm-up Problems
• 2026-07-30 · Lecture 3 — Conditional Statements
• 2026-07-30 · Lecture 2 — Logical Form and Logical Equivalence

Concepts

• Conditional & Biconditional Statements
• Logical Connectives
• Logical Equivalence & Laws
• Practice Problems — Applied Class Source

Week 2

Lectures

• 2026-08-03 · Lecture 4 — Valid and Invalid Arguments
• 2026-08-06 · Lecture 6 — Multiple Quantifiers, Negations of Quantified Statements
• 2026-08-06 · Lecture 5 — Valid Arguments (cont’d), Quantified Statements

Concepts

• Conditional & Biconditional Statements
• Determining Argument Validity — Worked Examples
• Divisibility & Unique Factorisation
• Logical Equivalence & Laws
• Practice Problems — Applied Class Source
• Proof Techniques — Direct, Counterexample, Contradiction, Contraposition
• Quantified Statements
• Valid Argument Forms

Week 3

Lectures

• 2026-08-10 · Lecture 7 — Direct Proof, Counterexample
• 2026-08-13 · Lecture 8 — Proof by Contradiction
• 2026-08-13 · Lecture 9 — Proof by Contraposition, Rational Numbers

Concepts

• Conditional & Biconditional Statements
• Logical Equivalence & Laws
• Practice Problems — Applied Class Source
• Proof Techniques — Direct, Counterexample, Contradiction, Contraposition
• Quantified Statements
• Rational & Irrational Numbers

Week 4

Lectures

• 2026-08-17 · Lecture 10 — Divisibility
• 2026-08-20 · Lecture 12 — Modular Arithmetic and the Euclidean Algorithm
• 2026-08-20 · Lecture 11 — Modular Arithmetic

Concepts

• Divisibility & Unique Factorisation
• gcd, lcm & the Euclidean Algorithm
• Modular Arithmetic, Floor & the Quotient-Remainder Theorem
• Practice Problems — Applied Class Source
• Proof Techniques — Direct, Counterexample, Contradiction, Contraposition

Reference notes

Every evergreen concept note in the course, with the weeks that link to it.

• Conditional & Biconditional Statements — weeks 1, 2, 3
• Determining Argument Validity — Worked Examples — week 2
• Divisibility & Unique Factorisation — weeks 2, 4
• gcd, lcm & the Euclidean Algorithm — week 4
• Logical Connectives — week 1
• Logical Equivalence & Laws — weeks 1, 2, 3
• Modular Arithmetic, Floor & the Quotient-Remainder Theorem — week 4
• Practice Problems — Applied Class Source — weeks 1, 2, 3, 4
• Proof Techniques — Direct, Counterexample, Contradiction, Contraposition — weeks 2, 3, 4
• Quantified Statements — weeks 2, 3
• Rational & Irrational Numbers — week 3
• Valid Argument Forms — week 2