Next to each topic is a list of all the problems in the archive which address that topic. In case you're curious, the format is "year-problem number," however, you can get to the each problem just by clicking on it. Some pages contain two problems and answers. If the link you follow below is in italics, that indicates that your problem is the second of two problems on one page, so you may have to scroll down to get to it once you click on the problem link below.
Some of these problems were written by students, and may have been liberally "borrowed" from other sources. If material you have written or images that belong to you appear in any of the problems, please let me know by clicking here, so that I can either give you credit or withdraw it at your request.
absolute extrema points: 1999-11
acceleration: 2003-2 · 2002-15 · 2001-9 · 2000-14 · 1999-15 · 1998-6 · 1998-4
accumulation functions: 2002-16 · 2001-21 · 1998-24 · 1998-15 · 1998-14
antiderivatives: see integrals
approximating derivatives: 2002-8 · 2001-6
area of a region: 2001-22 · 2000-18 · 2000-17 · 1998-21
average rate of change: 2002-8 · 2001-6 · 1998-8
average value: 2003-2 · 1999-17 · 1999-12 · 1998-24 · 1998-13
average velocity: 2003-2 · 1998-3
calculator use on AP exam: 2001-10
Chain Rule: 2002-20 · 2002-6 · 2002-5 · 1999-8
conic sections: 2002-21
continuity: 2002-12 · 2002-4 · 2002-1 · 2001-3 · 2001-2 · 2000-17 · 2000-5 · 2000-3 · 1999-4 · 1999-3 · 1998-17 · 1998-2
derivatives:
evaluating: 2001-5 · 2000-15 · 2000-8 · 2000-6 · 2000-5 · 1999-9 · 1999-7 · 1998-27
of inverse functions: 2002-19 · 2002-9 · 2000-11 · 1998-17 · 1998-16
of functions defined by tables: 2002-19 · 2002-6 · 2002-5
relationships between graphs of: 2002-7 · 2001-26 · 2001-9 · 2000-10 · 1999-13 · 1998-9
difference quotient: 2001-4 · 2000-4 · 1999-7 · 1998-2
differentiability: 2000-5
differential equations: 2001-25 · see also exponential growth and decay
distance traveled: 2002-15 · 2001-16 · 2001-9 · 2000-14 · 1999-15 · 1998-11 · 1998-6
Euler's Method: 2001-24 · 2000-16 · 1999-16
exponential growth and decay: 2001-27 · 2000-13 · 1998-19
functions: 2001-1 · 2000-1 · 1999-6 · 1999-2 · 1999-1 · 1998-1
Fundamental Theorem of Calculus: 2001-19 · 2000-13 · 1999-17 · 1999-11 · 1998-24 · 1998-17 · 1998-14
geometric series: 2001-22
homogeneous functions: 1999-15
implicit differentiation: 2002-12 · 2001-24 · 2001-7
improper integrals: 2001-21
infinite series convergence tests: 2001-23 · 2000-15
integrals:
calculating: 2002-17 · 2002-14 · 2001-20 · 2001-18 · 2000-16 · 2000-11 · 2000-11 · 1999-14 · 1998-20
Intermediate Value Theorem: 1999-1
inverse function derivatives: see derivatives
left sums: see Riemann sums
limits:
evaluating: 2002-4 · 2002-3 · 2002-2 · 2001-1 · 2000-2
graphical analysis of: 2001-3 · 2001-2 · 1999-2
involving infinity: 2002-3 · 2002-2 · 2002-1 · 2000-2 · 2000-1 · 1999-5
L'Hôpital's Rule: 1999-2
logarithmic equations, derivatives of: 2002-20
lower sums: see Riemann sums
Maclaurin series: 2001-25
maximizing/minimizing functions: see optimizing functions
Mean Value Theorem: 2001-28 · 2001-9 · 2001-7 · 1999-12 · 1998-24 · 1998-8
midpoint sums: see Riemann sums
Newton's Method: 1998-26
optimizing functions: 2003-1 · 2002-13 · 2001-12 · 2001-11 · 1999-16 · 1999-14 · 1998-10
parametric equations
partial fraction integration: 2001-20 · 2000-18 · 1999-13
parts method of integration: 2001-19
Product Rule: 2002-6 · 2002-5 · 1999-8
polar equations:
position equations: 2001-16 · 2000-14 · 2000-7 · 1999-6 · 1998-11 · 1998-3
The Quotient Rule: 2002-5
Riemann sums: 2002-16 · 2001-17 · 2001-13 · 2000-12 · 1998-15 · 1998-13 · 1998-12
related rates: 2002-11 · 2002-10 · 2001-8 · 2000-9 · 2000-6 · 1999-10 · 1999-10 · 1999-9 · 1998-25 · 1998-7 · 1998-5
right sums: see Riemann sums
Simpson's Rule: 2001-14
slope fields: 2000-16
tangent lines: 2002-8 · 1998-18
Trapezoidal Rule: 2002-18 · 2001-17 · 2001-15 · 2001-14 · 1998-15
u-substitution: 2002-17
upper sums: see Riemann sums
variable substitution (integration by): see u-substitution
vector equations: 1999-5
velocity: 2003-2 · 2002-15 · 2001-9 · 2000-14 · 2000-7 · 1999-11 · 1999-6 · 1998-6 · 1998-4 · 1998-3
volume:
of a solid of revolution: 2002-21 · 2001-22 · 2000-18 · 1999-17 · 1998-22 · 1998-21
of a solid with known cross-sections: 2001-23 · 2000-18 · 1998-23
