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This introductory calculus course develops limits and continuity through limit laws, rational and trigonometric functions, asymptotes, the squeeze theorem, and the Intermediate Value Theorem.
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