Limits & Continuity
Intro to Calculus
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Limits around the plane
Determining limits of functions
Continuity
Rates of change: The Derivative
Differentiation
Derivatives of polynomials, products, and quotients
derivatives of trig functions
chain rule
Implicit Differentiation
Derivatives of logarithms & Inverse Trig Functions
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In-Class Handout |
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Applications of the Derivative
Extrema of Functions
Second Derivative & Curve Sketching
L'Hospital's Rule
Optimization
The Fundamental Theorem of Calculus
Mean Value THeorem
Antiderivatives
Riemann Sums
Definite Integral
Fundamental Theorem of Calculus
U-Substitution