Math 8
Course Outline

The corresponding chapters are from " concise Introduction to Pure Mathematics" by Martin Liebeck.

• Statements, Propositions, Proofs -- Ch. 1
• Sets (intro) -- Ch. 1
• Number systems: Integers, rationals, irrationals -- Ch. 2
• Decimal representation or real numbers -- Ch. 3
• Inequalities -- Ch. 4
• Mathematical Induction -- Ch. 8

   [first midterm]


• Introduction to analysis -- Ch. 10
• Integers, the Euclidean algortihm -- Ch. 11
• Primes, the Fundamental Theorem of Arithmetics -- Ch. 12, 13

   [second midterm]


• Operations with sets, finite sets -- Ch. 18
• Equivalence relations -- Ch. 19
• Functions -- Ch. 20
• Infinite sets, cardinality -- Ch. 22

   [final exam]