This course covers the fundamentals of evaluating limits in calculus. By the end of the course, students will be able to understand Zeno's Paradox, define limits, work with right- and left-hand limits, identify vertical asymptotes, apply the Squeeze Theorem, analyze continuity and its properties, and utilize the Intermediate Value Theorem. The course teaches skills such as limit laws, evaluating limits of polynomials and rational functions, and identifying asymptotes. The teaching method includes theoretical explanations, examples, and applications. This course is intended for students studying calculus or anyone interested in mastering the concept of limits.
Overview
Syllabus
Intro to Calculus: Zeno's Paradox.
Definition of the Limit.
Right- and Left-hand Limits.
tan(x) & Vertical Asymptotes.
More Vertical Asymptotes: sec^2(x).
Asymptotes of a Rational Function.
A Nasty Rational Function.
The Limit Laws.
Limit Laws & Polynomials.
Limit Laws & Rational Functions.
Squeeze Theorem.
Continuity: 3 ways it fails.
Continuity: Two Examples.
Continuity: Properties.
Intermediate Value Theorem.
Taught by
math at andrews
