Ordinary differential equations (ODEs) play a pivotal role across the mathematical sciences, modelling phenomena from celestial mechanics to population dynamics. An algebraic solution of an ODE is one ...

Modern cryptographic systems rely on the interplay of algebraic structures and discrete mathematics to achieve confidentiality, integrity and authentication. At their core, cryptographic functions ...

Foundations of Algebra emphasizes computing with whole numbers and fractions, decimals, and integers; solving word problems with whole numbers, fractions, decimals and integers; solving basic linear ...

Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...

Hybrid hash function post-quantum cryptography research: a new paper on IACR ePrint formalizes a construction whose collision ...

As mathematics continues to become an increasingly important component in undergraduate biology programs, a more comprehensive understanding of the use of algebraic models is needed by the next ...

Introduction: The information presented here is intended to describe the course goals for current and prospective students as well as others who are interested in our courses. It is not intended to ...

All prerequisite courses must be passed with a grade of C- or better. For official course descriptions, please see the current CU-Boulder Catalog. MATH 3001 Analysis 1 Provides a rigorous treatment of ...

The human connectome is the network of links between different parts of the brain. These links are mapped out by the brain’s white matter—bundles of nerve cell projections called axons that connect ...