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Limits and limit theorem
Infinite limits and limits at infinity
Continuity of a function and the Intermediate Value Theorem
The Squeeze Theorem and limits and continuity of trigonometric functions
Exponential and logarithmic functions I hyperbolic and inverse hyperbolic functions
Derivative of a function
Differentiation of algebraic and transcendental functions
The chain rule I implicit differentiation I and higher order derivatives
Indeterminate forms and L Hopitals rule
Concavity and the Second Derivative Test
Sketching graphs of function using derivatives
The Mean Value Theorem
Rectilinear motion
Related Rates
Local linear approximation and differential
Absolute Extrema I Extreme Value Theorem and optimizations
Antiderivatives and formulas of antidifferentiation
Integration by Substitution
The definite integral
Fundamental Theorem of Calculus
Area of a Plane Region
Volumes by slicing I disks or washers and cylindrical shells
Math 21 - Limits and Continuity