Select to expand
Select to collapse

Course ePortfolio

Single Variable Calculus I Early Transcendentals

This collection contains the California Open Educational Resources Council (CA OER) list of peer-reviewed textbooks for Single Variable Calculus I Early Transcendentals (common course-id MATH 210), one of the top 50 college courses identified for inclusion in the California Open Online Library for Education (COOLforEd).

CID Number: MATH 210

General Course Description: MATH 210

A first course in differential and integral calculus of a single variable: functions; limits and continuity; techniques and applications of differentiation and integration; Fundamental Theorem of Calculus. Primarily for Science, Technology, Engineering & Math Majors.

Minimum Units: 4.0


Prerequisites: Pre-calculus, or college algebra and trigonometry, or equivalent.

Corequisites: None

Advisories/Recommendations: None

Pedagogical Approach


Learning Outcomes

Upon successful completion of the course, students will be able to:

  • Compute the limit of a function at a real number;
  • Determine if a function is continuous at a real number;
  • Find the derivative of a function as a limit;
  • Find the equation of a tangent line to a function;
  • Compute derivatives using differentiation formulas;
  • Use differentiation to solve applications such as related rate problems and optimization problems;
  • Use implicit differentiation;
  • Graph functions using methods of calculus;
  • Evaluate a definite integral as a limit;
  • Evaluate integrals using the Fundamental Theorem of Calculus; and
  • Apply integration to find area.


  • Tests,
  • examinations,
  • homework or
  • projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems.

Other Information


Course Resources

  • Calculus - Early Transcendentals
    Calculus - Early Transcendentals (Open (Access) Textbook)
    The discussions and explanations are succinct and to the point, in a way that pleases mathematicians who do not like... More
  • Calculus
    Calculus (Open (Access) Textbook)
    Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and... More
  • Mooculus: Calculus
    Mooculus: Calculus (Open (Access) Textbook)
    This open textbook is a first and friendly introduction to calculus, suitable for someone who has never seen the subject... More
  • Active Calculus
    Active Calculus (Open (Access) Textbook)
    While each author of a calculus textbook certainly offers her own creative perspective on the subject, it is hardly the... More