Welcome to AMS Open Math Notes, a repository of freely
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Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
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These notes cover matrix algebra, linear programming, probability, counting methods, Markov chains, and game theory. In practice, students work through the notes during class, complete problems in groups, and present their work at the board. Two modules using board games are also included as appendices. The notes can be easily adapted by taking out explanatory passages or examples, based on the mathematical background of the students.
Mindy Capaldi ·
Valparaiso University ·
Date posted: May 31, 2023
A mathematics course designed for students in the humanities. A variety of concepts are covered. Topics will be drawn from the following areas: introductory treatments of sets, logic, number theory.
Ryan Dunning ·
St. Mary's University ·
Date posted: May 31, 2023
A standard precalculus course covering polynomials, rationals, exponentials, logarithmics, trigonometry, polar coordinates, rate of change, and conic sections. This course may also serve as either College Algebra or Trigonometry simply by choosing the appropriate chapters.
William Mahavier ·
N/A ·
Paul Howard ·
Oklahoma Christian University ·
Date posted: May 31, 2023
These notes cover the foundations of geometric group theory, such as Cayley graphs and quasi-isometries, and additionally a selection of topics, such as hyperbolic spaces, CAT(0) spaces, and cube complexes. The style is rather informal, and the goal is often to convey the key ideas rather than the fine details, so they are best used for a course that aims to give an overview of a selection of topics in Geometric Group Theory (or for individual students who want an overview).
Alessandro Sisto ·
Heriot-Watt University ·
Laura Ciobanu ·
Heriot-Watt University ·
Alexandre Martin ·
Heriot-Watt University ·
Date posted: March 20, 2023
Usually a course on partial differential equations (PDEs) starts with the theory of first order PDEs, which turns out to be quite time consuming for a teacher and difficult for students due to dependence of the proofs on geometry of Monge curves. In this article we present a simpler theory of first order PDEs using only the characteristic curves in the space of independent variables. In addition we discuss existence and uniqueness first with examples and then prove rigorously It has new ideas.
Phoolan Prasad ·
Indian Institute of Science ·
Date posted: January 9, 2023
