Limits are a fundamental concept in Calculus. In order to thrive in the study of Calculus 1 and beyond, it is crucial to have a conceptual understanding of this topic. In this course, we will explore limits graphically, numerically, algebraically and analytically. We will also explore continuity and the Intermediate Value Theorem. Every lesson contains a lecture with an accompanying follow along sheet, practice problems with solutions given in video and written format, formula sheets, and an extensive set of review problems at the end of the course along with an answer key.
List of lessons:
Finding Limits from Graphs
Numerical Limits from Tables
Know Your Graphs
Limits of Piecewise Functions
Algebraic Limits
Trigonometric Limits
Infinite Limits
Continuity
Limit Properties
Intermediate Value Theorem
Unit Review
This course is intended for a variety of high school and college students who have already taken Precalculus. It is perfect for students who want to get a jump start and preview the first unit of Calculus before they begin then course. It is equally ideal for students who are currently taking Calculus 1 or AP Calculus AB or BC and feel that they are not totally understanding the material being taught by their teacher. The course may be used as a refresher for students who took Calculus a while ago and need to re-master the early concepts.
The other units in Calculus 1 will be taught in other courses that I am currently creating and publishing.