We're still actively developing this site. If you encounter any issues, please report them! - Report an issue

INTRODUCTION TO DISCRETE MATHEMATICS

COMPSCI/MATH 240
Course Description

Basic concepts of logic, sets, partial order and other relations, and functions. Basic concepts of mathematics (definitions, proofs, sets, functions, and relations) with a focus on discrete structures: integers, bits, strings, trees, and graphs. Propositional logic, Boolean algebra, and predicate logic. Mathematical induction and recursion. Invariants and algorithmic correctness. Recurrences and asymptotic growth analysis. Fundamentals of counting.

Prerequisties
Satisfies
Credits

3

Offered

Fall, Spring

Grade Point Average
3.12

3.88% from Historical

Completion Rate
98.51%

4.45% from Historical

A Rate
22.64%

-12.38% from Historical

Class Size
605

115.84% from Historical

Instructors (2025 Fall)

Sorted by ratings from Rate My Professors

Similar Courses

SEMINAR-THE FOUNDATIONS OF MATHEMATICS

MATH 975

Selected topics in Mathematical Logic.

SET THEORY

MATH 771

Martin's Axiom, Suslin and Aronszajn trees, diamond principle, absoluteness and reflection, constructible universe, and one-step forcing constructions. Familiarity with the topics in a basic Foundations course such asMATH 770is strongly recommended.

FUNDAMENTALS OF SET THEORY

MATH 570

Introduces the basic concepts of Set Theory including: Set-theoretical paradoxes and means of avoiding them, sets, relations, functions, orders and well-orders, proof by transfinite induction and definitions by transfinite recursion, cardinal and ordinal numbers and their arithmetic, construction of the real numbers, the axiom of choice and its consequences.

FOUNDATIONS OF MATHEMATICS

MATH 770

First-order logic syntax and semantics, Completeness and Compactness Theorems, Lowenheim-Skolem Theorem, computable and computably enumerable sets, Incompleteness Theorem, axioms of Zermelo-Fraenkel set theory with choice, ordinal and cardinal arithmetic.

MATHEMATICAL LOGIC

MATH/PHILOS 571

Basics of logic and mathematical proofs; propositional logic; first order logic; undecidability.