Understand limits and continuity from Calculus 1 and be able to solve challenging problems
What you'll learn
Gain a conceptual understanding of Limits from Calculus I
Be able to solve challenging limit problems
Improve your grade in your Calculus I course
Understand limits from a graphical, numerical, and algebraic perspective
Requirements
Proficient in Pre-Calculus and Algebra especially graphing functions, trigonometry, and algebraic manipulation
Description
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 GraphsNumerical Limits from TablesKnow Your Graphs Limits of Piecewise FunctionsAlgebraic Limits Trigonometric Limits Infinite Limits ContinuityLimit PropertiesIntermediate 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.
Overview
Section 1: How to Best Utilize this Course
Lecture 1 Introduction to Infinite Wisdom
Section 2: Unit 1: Limits and Continuity
Lecture 2 Limits from Graphs
Lecture 3 Basic Limits
Lecture 4 Numerical Limits and Mixed Practice
Lecture 5 Knowing Your Graphs
Lecture 6 Limits of Piece-Wise Functions
Lecture 7 Finding Limits Algebraically
Lecture 8 Limits Involving Trigonometry
Lecture 9 Limits Involving Infinity
Lecture 10 Continuity
Lecture 11 Properties of Limits
Lecture 12 Intermediate Value Theorem
Lecture 13 The Squeeze Theorem
Lecture 14 Unit Review: Limits and Continuity
High school students taking AP Calculus AB and BC,College students taking Calculus 1,Any student looking to preview the early content of Calculus,Students who need a refresher on limits for another course
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