Differential equations inherently belong to the realm of continuous mathematics, but often they are used to describe discrete objects. For example, we use differential equations to model population ...

Discrete mathematics is the study of finite or countable discrete structures; it spans such topics as graph theory, coding theory, design theory, and enumeration. The faculty at Michigan Tech ...

Discrete math is one of the oldest branches of mathematics, with a direct line of descent from problems studied in the most ancient mathematical texts. It includes number theory, the study of patterns ...

Graph theory is a branch of mathematics that studies the properties and applications of graphs, which are structures made up of vertices (or nodes) connected by edges. One of the significant areas ...

Introduces students to ideas and techniques from discrete mathematics that are widely used in science ... recurrences and elementary graph theory. Other selected topics may also be covered. Requisites ...

Graphs are everywhere. In discrete mathematics, they are structures that ... many algorithms always seem to work efficiently. But in theory, there is no guarantee. In an arXiv preprint ...

Presents propositional logic, combinatorics, methods of proof, mathematical systems, algebra of sets, matrix algebra, relations and functions, recursion and generating functions, applications to ...

This course will discuss fundamental concepts and tools in discrete mathematics ... trees and more general graphs. DETAILED COURSE TOPICS: All sections will deal with topics from Part I (Proofs and ...

The course covers fundamental ideas from discrete mathematics, especially for computer science students. It focuses on topics that will be foundational for future courses including algorithms, ...

Discrete Mathematics plays an important role in ... relationships between data, number theory and cryptography, recurrence and recursive programming, and how graphs relate to efficient algorithms. No ...

Sets, logic, mathematical induction, functions and equivalence relations. Partial orderings, algebraic structures and morphisms. Error correcting codes and public key ...

This is a course covering a number of concepts and techniques of discrete mathematics. Topics covered: Counting: selections; inclusion-exclusion; generating functions; recurrence relations. Graph ...