Some essay problems | Maxima Quick Reference
Lecture 1 - Review: Lines, equations, and rationalizing -- Notes, Clicker
Lecture 2 - Review: Functions, change, and graphing -- Notes
Lecture 3 - Estimating limits graphically and numerically -- Notes, Slides, Clicker
Lecture 4 - Finding limits analytically - Limits laws and substitution -- Notes, Slides
Lecture 5 - Finding limits analytically - Simple indeterminate forms -- Notes, Slides, Clicker
Lecture 6 - One-sided limits -- Notes
Lecture 7 - Continuity -- Notes, Slides
Lecture 8 - Infinite limits --- Notes
Lecture 9 - Formal definition of limit --- Notes, Slides, GeoGebra applet (new tab)
Lecture 10 - Introduction to tangent lines --- Notes, Slides, Clicker
Lecture 11 - The limit definition of the derivative --- Notes, Slides, GeoGebra applet (new tab)
Lecture 12 - Some basic differentiation rules --- Notes
Lecture 13 - Product rule and quotient rule --- Notes
Lecture 14 - Rates of change and higher-order derivatives --- Notes
Lecture 15 - Chain rule --- Notes, Clicker
Lecture 16 - Implicit differentiation --- Notes
Lecture 17 - Related rates --- Notes
Lecture 18 - Extreme values on closed, bounded intervals --- Notes, Slides
Lecture 19 - Rolle's theorem and the Mean Value Theorem --- Notes, Slides, GeoGebra Applet
Lecture 20 - First derivative test --- Notes, Slides
Lecture 21 - Second derivative test --- Notes,
Slides
Lecture 22 - Limits at infinity --- Notes, Slides, Clicker
Lecture 23 - Curve sketching --- Notes
Lecture 24 - Optimization --- Notes
Lecture 25 - Linearizations --- Notes, Slides
Lecture 26 - Newton's method --- Notes, Slides, Maxima, Programs
Lecture 27 - Differentials --- Notes, Slides
Lecture 28 - Antiderivatives and indefinite integrals --- Notes, Slides
Lecture 29 - Area, lower sums, and upper sums --- Notes, Slides, GeoGebra
applet (new tab), Wolfram MathWorld (new tab)
Lecture 30 - Riemann sums and the definite integral --- Notes,
Slides, Maxima, Programs,
GeoGebra applet
(new tab), Wolfram MathWorld (new tab)
Lecture 31 - Properties of the definite integral --- Notes, Slides
Lecture 32 - The 1st Fundamental Theorem of Calculus --- Notes, Slides
Lecture 33 - Integration by substitution --- Notes, Clicker
Lecture 34 - Area between curves --- Notes
Lecture 35 - The trapezoid rule --- Notes, Slides, Maxima, Programs
Lecture 36 - Simpson's rule --- Slides, Maxima, Programs
Lecture 37 - Volume by the disk method
Lecture 38 - Volume by cross section
Lecture 39 - Volume by the shell method
Lecture 40 - The 2nd Fundamental Theorem of Calculus
Lecture 41 - Center of mass in 1-D
Lecture 42 - Center of mass in 2-D
Last updated October 16, 2015.