## Fall 2019 Lectures with steve butler

Rates of change and tangents. Notes (filled)

Limits of a function and basics of limits. Notes (filled)

One-sided limits. Notes (filled)

Continuity. Notes (filled)

Limits involving infinity; asymptotes. Notes (filled)

More practice with limits. Notes (filled)

Tangents and derivatives at a point. Notes (filled)

Derivative as a function. Notes (filled)

Differentiation rules. Notes (filled)

More practice with differentiation rules. Notes (filled)

Derivative as a rate of change. Notes (filled)

Derivative of trigonometric functions. Notes (filled)

More practice with using derivatives. Notes (filled)

Chain rule. Notes (filled)

More practice with the chain rule. Notes (filled)

Review for Exam 1. Problems (solutions)

Q&A for Exam 1. Notes

Implicit differentiation. Notes (filled)

Derivatives of inverse functions and logarithms. Notes (filled)

Inverse trigonometric functions. Notes (filled)

Related rates. Notes (filled)

Linearization and differentials. Notes (filled)

Extreme values. Notes (filled)

Mean value theorem. Notes (filled)

Monotonicity; first derivative test. Notes (filled)

Concavity; second derivative test. Notes (filled)

L'Hospital's rule. Notes (filled)

Optimization. Notes (filled)

More practice with optimization. Notes (filled)

Newton's method. Notes (filled)

Review for Exam 2. Problems (solutions)

Q&A for Exam 2. Notes

Antiderivatives. Notes (filled)

Areas and Riemann sums. Notes (filled)

Sum notation and limits of sums. Notes (filled)

Definite integrals. Notes (filled)

Fundamental theorem of calculus. Notes (filled)

Indefinite integrals and substitution. Notes (filled)

Definite integrals and substitutions; area. Notes (filled)

Review for Exam 3. Problems (solutions)

Q&A for Exam 3. Notes

Separable differential equations. Notes (filled)

Logarithm as an integral; hyperbolic functions. Notes (filled)

Overview. Notes (filled)

Review for the Final. Problems (solutions)

Final unboxing