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