Calculus 1 – MATH X11 | UC Berkeley Extension

Get an introduction to differential and integral calculus. Examine the key concepts of limit, derivative and continuity, as well as the main applications of derivatives in graphing and optimizing functions. Explore the fundamental theorem of calculus. Finally, apply the concept of integration to calculating volumes through solids of revolutions.

Prerequisites:

Three years of high school mathematics, including trigonometry and geometry

Learner Outcomes

Explain the derivative as a rate of change, the slope of the tangent line, velocity or marginal economic units
Explain the definite integral as both a summation and an antiderivative
Recognize and explain the role of limits in both of the above concepts
Recognize and read symbolic forms and the algebraic structure underlying the study of calculus
Apply concepts to solve increasingly more difficult problems
Explain the role of proofs in mathematics

Sections

Section 027

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4 semester units

Section Notes

Online, enroll anytime. This continuous enrollment course begins when you enroll. You have a minimum of 90 days and a maximum of 180 days to complete the course.

Students must score a 70% or higher on the final exam to pass the course.

TEXTBOOK NOTE: Please use the ISBN listed. Do not purchase a hybrid text; it cannot be used for this course.

Section Materials

Textbook (Mandatory) Calculus: Early Transcendentals by James Stewart © 2016 Cengage Learning 8th edition ISBN 1285741552 Textbook ISBN: 9781285741550