The following provides examples of existing OER that can be used for the indicated courses. You can find all potential OER identified for the discipline at Open Educational Resources and Math. Please note that the structure presented here aligns with the Mathematics TMC.
Required Core Courses (minimum of 12 units, all courses are universally required)
1. Single Variable Calculus I – Early Transcendentals (MATH 210) OR Single Variable Calculus I – Late Transcendentals (MATH 211)
- Contemporary Calculus I (Hoffman) (CC BY)
- Community Calculus (Guichard) (CC BY-NC-SA)
- APEX Calculus 1 (Hartman);
- Active Calculus (Boelkins et al., 2017)
- Calculus Vol 1 (Strang, Herman) – OpenStax
2. Single Variable Calculus II – Early Transcendentals (MATH 220) OR Single Variable Calculus II – Late Transcendentals (MATH 221)
- Contemporary Calculus I (Hoffman) (CC BY)
- Community Calculus (Guichard) (CC BY-NC-SA)
- APEX Calculus 1 (Hartman);
- Active Calculus (Boelkins et al., 2017)
- Calculus Vol 1 (Strang, Herman) – OpenStax
3. Multivariable Calculus (MATH 230)
- Active Calculus (Boelkins et al., 2017)
- Calculus Volume 3 (Strang and Herman, 2022) – OpenStax (CC BY-NC-SA)
OR Single Variable Calculus Sequence (2 semesters/3 quarters or 3 semesters/4 quarters) (MATH 900S) and Multivariable Calculus (MATH 230)
See above.
List A – Select one (3 units minimum)
Ordinary Differential Equations (MATH 240)
- Elementary Differential Equations (Trench, 2013)
- The Ordinary Differential Equations Project (CC-BY-NC-SA)
- Ordinary Differential Equations (Wiggins)
- Notes on Diffy Qs (Lebl) (CC-BY)
- Book: Differential Equations for Science (Lebl and Trench, 2022) – LibreTexts (CC BY)
Introduction to Linear Algebra (MATH 250)
- Linear Algebra (Hefferon) (CC BY-SA 2.5)
- Linear Algebra Bookshelf (LibreTexts) (CC BY-NC-SA 3.0)
- A First Course in Linear Algebra (Kuttler, 2022) – LibreTexts (CC BY)
Differential Equations and Linear Algebra (MATH 910S)
- Can use the books from both courses above (Differential Equations and Linear Algebra)
List B – Select additional courses/units so that List A and List B courses total a minimum of 6 units
Discrete Math (MATH 160)
- Mathematics for Computer Science (Lehman, Thomson Leighton, and Meyer, 2015) (CC BY-SA)
- A Spiral Workbook for Discrete Mathematics (CC BY-NC-SA)
- Discrete Mathematics (Levin) – LibreTexts (CC BY-NC-SA 3.0)
- Mathematical Reasoning and Proof (Sundstrom) (CC-BY-NC-SA)
- Introduction to Proofs, an Inquiry-Based approach (Heffron) (CC-GNU)
Calculus-Based Physics for Scientists and Engineers (PHYS 205)
- Classical Mechanics (Tom Weideman) – LibreTexts (CC BY-SA)
- University Physics Volume 1 (OpenStax, 2020) (CC BY 4.0)
- Classical Mechanics with Numerical Methods (Budarz)
- Mechanics (Crowell, 2019) (CC BY-SA 3.0)
- Calculus-Based Physics I (Schnick) (CC BY-SA 4.0)
- University Physics I – Classical Mechanics (Gea-Banacloche) (CC BY-SA 4.0)
- Book: Introductory Physics – Building Models to Describe Our World (Martin et al.) (CC BY-SA)
Mathematical Computing Systems
Resources TBD.
Computer Programming
Any programming course that is articulated preparation for the math major at a CSU. See Open Educational Resources and Computer Science and Open Educational Resources and ITIS (Information Technology and Information Systems) for potential resource options.
Proof
Resources TBD.
Introduction to Statistics (MATH 110)
- OpenIntro Statistics (Diez, Barr, and Cetinkaya-Rundel) (CC BY-SA)
- Statistics Using Technology (Kozak) (CC BY-SA) – Coconino Community College website
- Introductory Statistics (OpenStax) – LibreTexts (CC BY 4.0)
- Foundations in Statistical Reasoning (Kaslik) – LibreTexts (CC BY-SA-NC)
Course Templates (Instructor account required)
- Introduction to Statistics (OpenStax) – MyOpenMath (CC BY 4.0)
- Statistics Using Technology (Kozak) – MyOpenMath (CC BY-SA)
This page last updated October 26, 2024.