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This course introduces first-year calculus through faculty-presented examples. It covers limits, differentiation, applications of derivatives, antiderivatives, definite integrals, the Fundamental Theorem of Calculus, and common integration techniques.
Syllabus
The Limit of a Function.
Basic Differentiation Rules.
The Chain Rule.
Implicit Differentiation and Logarithms.
Related Rates.
L'Hopital's Rule.
Concavity and Inflection Points.
Antiderivatives and Indefinite Integrals.
The Definite Integral and Riemann Sums.
The Fundamental Theorem of Calculus.
The Substitution Method.
Calculating Areas.
Integration By Parts.
Improper Integrals Bounded Intervals.
Trigonometric Substitutions.
Integration by Partial Fractions.
Taught by
UTM MCS Math Videos