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Master limits, derivatives, and optimization techniques
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Most students improve one letter grade in 4-6 weeks
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Introduction to Calculus - Limits
Finding limits from graphs
Limit laws
Continuity
Finding limits algebraically - direct substitution
Finding limits algebraically - when direct substitution is not possible
Infinite limits - vertical asymptotes
Limits at infinity - horizontal asymptotes
Intermediate value theorem
Squeeze theorem
Definition of derivative
Estimating derivatives from a table
Power rule
Slope and equation of tangent line
Chain rule
Derivative of trigonometric functions
Derivative of exponential functions
Product rule
Quotient rule
Implicit differentiation
Derivative of inverse trigonometric functions
Derivative of logarithmic functions
Higher order derivatives
Position velocity acceleration
Critical number & maximum and minimum values
l'Hospital's rule
Curve sketching
Optimization
Related rates
Mean value theorem
Linear approximation
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