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Full-Text Articles in Mathematics

Strong Homotopy Lie Algebras And Hypergraphs, Samuel J. Bevins, Marco Aldi Jan 2023

Strong Homotopy Lie Algebras And Hypergraphs, Samuel J. Bevins, Marco Aldi

Undergraduate Research Posters

We study hypergraphs by attaching a nilpotent strong homotopy Lie algebra. We especially focus on hypergraph theoretic information that is encoded in the cohomology of the resulting strong homotopy Lie algebra.


Abstract Algebra: Theory And Applications, Thomas W. Judson Oct 2020

Abstract Algebra: Theory And Applications, Thomas W. Judson

eBooks

Tom Judson's Abstract Algebra: Theory and Applications is an open source textbook designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many nontrivial applications. Rob Beezer has contributed complementary material using the open source system, Sage.

An HTML version on the PreText platform is available here.

The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second-half is suitable for a second semester and …


Math Active Learning Lab: Math 98 Notebook, Gwennie Byron, Michele Iiams, Department Of Mathematics, University Of North Dakota Aug 2020

Math Active Learning Lab: Math 98 Notebook, Gwennie Byron, Michele Iiams, Department Of Mathematics, University Of North Dakota

Open Educational Resources

This course notebook has been designed for students of Math 98 (Intermediate Algebra) at the University of North Dakota. It has been designed to help you get the most out of the ALEKS resources and your time.

  • Topics in the Notebook are organized by weekly learning module.
  • Space for notes from ALEKS learning pages, e-book and videos directs you to essential concepts.
  • Examples and “You Try It” problems have been carefully chosen to help you focus on these essential concepts.
  • Completed Notebook is an invaluable tool when studying for exams.


Beginning Algebra Made Useful, Charlene E. Beckmann May 2020

Beginning Algebra Made Useful, Charlene E. Beckmann

Open Textbooks

Beginning Algebra Made Useful addresses the needs of learners to make sense of algebra by quantifying and generalizing everyday occurrences such as commuting to work, buying gas or pizza, and determining the better deal. It requires learners to actively engage with algebraic concepts through physical and thought experiments in ways that help them connect ideas, representations, and contexts, and solve problems that arise in their daily lives. The text helps learners grow their brains and develop growth mindsets as they learn algebra conceptually. Problem sets continue the process, extending work begun in each lesson, applying new understandings to new contexts, …


Math Active Learning Lab: Math 93 Notebook, Michele Iiams, Gwennie Byron Oct 2018

Math Active Learning Lab: Math 93 Notebook, Michele Iiams, Gwennie Byron

Open Educational Resources

This course notebook has been designed for students of Math 93 (Algebra Prep III) at the University of North Dakota. It has been designed to help you get the most out of the ALEKS resources and your time.

  • Topics in the Notebook are organized by weekly learning module.
  • Space for notes from ALEKS learning pages, e-book and videos directs you to essential concepts.
  • Examples and “You Try It” problems have been carefully chosen to help you focus on these essential concepts.
  • Completed Notebook is an invaluable tool when studying for exams.


Math Active Learning Lab: Math 92 Notebook, Michele Iiams, Gwennie Byron Aug 2018

Math Active Learning Lab: Math 92 Notebook, Michele Iiams, Gwennie Byron

Open Educational Resources

This course notebook has been designed for students of Math 92 (Algebra Prep II) at the University of North Dakota. It has been designed to help you get the most out of the ALEKS resources and your time.

  • Topics in the Notebook are organized by weekly learning module.
  • Space for notes from ALEKS learning pages, e-book and videos directs you to essential concepts.
  • Examples and “You Try It” problems have been carefully chosen to help you focus on these essential concepts.
  • Completed Notebook is an invaluable tool when studying for exams.


Six Septembers: Mathematics For The Humanist, Patrick Juola, Stephen Ramsay Apr 2017

Six Septembers: Mathematics For The Humanist, Patrick Juola, Stephen Ramsay

Zea E-Books Collection

Scholars of all stripes are turning their attention to materials that represent enormous opportunities for the future of humanistic inquiry. The purpose of this book is to impart the concepts that underlie the mathematics they are likely to encounter and to unfold the notation in a way that removes that particular barrier completely. This book is a primer for developing the skills to enable humanist scholars to address complicated technical material with confidence. This book, to put it plainly, is concerned with the things that the author of a technical article knows, but isn’t saying. Like any field, mathematics operates …


College Algebra (University Of North Georgia), Minsu Kim, Hashim Saber, Bikash Das, Thomas Hartfield Apr 2016

College Algebra (University Of North Georgia), Minsu Kim, Hashim Saber, Bikash Das, Thomas Hartfield

Mathematics Grants Collections

This Grants Collection for College Algebra was created under a Round Four ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

  • Linked Syllabus
  • Initial Proposal
  • Final Report