Skip to Main Content

MATH303

Download as PDF

Threads of Mathematical Reasoning

Mathematics, Physics & AstronomyUndergraduateCollege of Science and Engineering

Course Outline

Techniques of argument and the writing of proofs. 20% Equivalence relations, one-to-one and onto functions and compositions, partial orders, Boolean algebras. 4% Number theory, cryptography, computer representation of numbers, numerical precision. 17% Mathematical induction, the well-ordering principle, ordinal numbers. 12% Models of computation, Turing machines, automata, grammars. 10% Computational complexity. 9% The statement calculus, logical equivalence, normal forms. 16% The predicate calculus, prenex normal form, axioms, consistency, independence. 12%