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Math

Spotlight on BMCC Faculty

  • Help Your Math
    From Ke Xin of BMCC. Help Your Math is a volunteer- and donation-based open education resource tailored to BMCC Mathematics classes.

Open Textbooks – By Subject

General / Quantitative Literacy

  • Mathematical Reasoning: Writing and Proof
    “[D]esigned to be a text for the first course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics.
  • Math in Society
    “Math in Society is a free, open textbook that surveys contemporary mathematical topics, most non-algebraic, appropriate for a college-level quantitative literacy topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics.”
  • Math Textbooks on OpenStax
    List of OpenStax Math textbooks covering a variety of levels of Pre-Algebra, Algebra, Trigonometry, Pre-calculus, Calculus, and Statistics.
  • Mathematics for Elementary Teachers
    Foundations of mathematics by Michelle Manes of the University of Hawai’i.
  • Math and You
    Free to use online, but no modifications. PDF and other versions available for a fee.

Logic

  • forallX: an Introduction to Formal Logic (SUNY Albany)
    By P.D. Magnus, PhD of the University of Albany. “In formal logic, sentences and arguments in English are translated into mathematical languages with well-defined properties. If all goes well, properties that were hard to discern in English become clearer in the formal language. This book covers translation, formal semantics, and proof theory for both sentential logic and quantified logic. Each chapter contains practice exercises, and solutions to selected exercises appear in an appendix. The book is designed to provide a semester’s worth of material for an introductory college course.”
  • A Friendly Introduction to Mathematical Logic (SUNY Genesco / Univ. of Oslo)
    By Christopher Leary and Lars Kristiansen. “At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary’s user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study.

Algebra

Statistics

Precalculus

Calculus

  • Calculus Textbook (Vol. 1, OpenStax)
    “Please note that this title is published under a CC BY-NC-SA 4.0 license, which means that you are free to use and adapt, but not for commercial purposes. Changes you make need to be shared using this license.”
  • Calculus Textbook (Vol. 2, OpenStax)
    Please note that this title is published under a CC BY-NC-SA 4.0 license, which means that you are free to use and adapt, but not for commercial purposes. Changes you make need to be shared using this license.”
  • Calculus Textbook (Vol. 3, OpenStax)
    “Please note that this title is published under a CC BY-NC-SA 4.0 license, which means that you are free to use and adapt, but not for commercial purposes. Changes you make need to be shared using this license.”

Discrete Mathematics

  • A Spiral Workbook for Discrete Mathematics (SUNY Fredonia)
    By Harris Kwong, SUNY Fredonia. “This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students’ problem-solving and writing skills.”

Additional Open and Zero-Cost Resources

Videos

  • Communicating in Mathematics
    “These screencasts are designed for students taking MTH 210, Communicating in Mathematics at Grand Valley State University. They are intended to be paired with the book Mathematical Reasoning: Writing and Proof by Ted Sundstrom.”
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