Limits and Derivatives in Calculus 1 by Infinite Wisdom

Limits and Derivatives 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 and derivatives graphically, numerically, algebraically and analytically.

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 GraphsNumerical Limits from TablesKnow Your Graphs Limits of Piecewise FunctionsAlgebraic Limits Trigonometric Limits Infinite Limits ContinuityLimit PropertiesIntermediate Value Theorem Unit 1 Review Average Rates of ChangeThe Definition of the Derivative and Instantaneous Rates of ChangeThe Derivative of a Function at a Point plus Tangent and Normal LinesThe Power RuleDifferentiability and ContinuityBasic Derivative RulesMore Derivative RulesThe Product and Quotient RulesTrigonometric DerivativesThis 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 two units 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 posted very shortly.