Limits And Continuity In Calculus 1 By Infinite Wisdom

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