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CS 280 Midterm Review

CS 280 Midterm Review. Announcements. Midterm Postponed to Monday, 11/12 Covers up to and including HW #5 (number theory) Homework #5. Logic. Propositional Logic / Predicate Logic Know the notation/terminology Meanings of operators Translating to and from English

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CS 280 Midterm Review

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  1. CS 280 Midterm Review

  2. Announcements • Midterm • Postponed to Monday, 11/12 • Covers up to and including HW #5 (number theory) • Homework #5

  3. Logic • Propositional Logic / Predicate Logic • Know the notation/terminology • Meanings of operators • Translating to and from English • Know how to write a proof • Presentation • Equivalences, inference rules

  4. Proof Techniques • Proof by contradiction • Proof by contraposition • Existence proof • Uniqueness proof • Counterexamples • Induction • Weak, strong, structural • Structuring your proof

  5. Sets • Know the notation and terminology • Union, intersection, Cartesian product etc. • Proving theorems in set theory • Countability

  6. Functions • Basic notions • One-to-one • Onto • Inverse • Composition • Know the basic properties of the common functions • Floor, ceiling, exponential, logarithm etc.

  7. Growth Rates • Big-O notation • Big-Ω notation • Big-Θ notation

  8. Sequences/Summations • Know the basics • Arithmetic progressions • Geometric progressions

  9. Number Theory • Modular arithmetic and congruences • Basic properties • Finding the GCD, LCM • Basic properties • Euclid’s algorithm • Linear congruences • Chinese Remainder Theorem • Fermat’s Little Theorem

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