Calc CD Problem Sets

There aren't many of these yet...hopefully I'll add more as time goes by. I currently have no idea how to really organize these so it's just going to be a giant list...

Problem Set 1

Doing stuff with a table of f(x) and its derivative at values; derivatives of trig/inverse trig functions; volume of revolution

Problem Set 2

Separable differential equation; integration by parts; Second FTC

Problem Set 3

Function defined by a limit; tangent line; average value; volume with known cross-sections

Problem Set 4

"Re-centering" a polynomial (it's relevant to series stuff)

Problem Set 7

Manipulating yet another geometric series...

Problem Set 8

Just your standard Taylor Polynomial problem

Problem Set 9

Taylor Polynomial problem again; a few review antiderivatives

Problem Set 10

Evaluating infinite series of constants by recognizing them

Problem Set 10-01

Taylor polynomials; approximations; error; radius of convergence; interval of convergence; geometric series; solving an equation.

Euler's Method; tangent line approximations; Taylor & Maclaurin polynomial approximations; finding particular solutions (some separable and some requiring the integrating factor approach--which is NOT a Calc BC topic).

Problem Set 14-01

Integral of sine squared in two ways; accumulation function, derivative; Euler's Method; Taylor Polynomial; logistic differential equation; arc length; critical points.

Problem Set 14-02

Logistic differential equation; range; Taylor polynomials; implicit differentiation--kind of...

Problem Set 16-01

Parametric equations; FTC; tangent lines; describing motion based on derivatives; finding explicit functions for x(t) and y(t).

Problem Set 16-03

Parametric equations; given graphs of dx/dt and dy/dt; first derivative; describing motion and shape of curve; speed.

Problem Set 16-04

Parametric equations; speed, velocity, acceleration; slope; position; distance traveled; describing motion.

Problem Set 16-05

Parametric equations; trapezoidal sum; tangent lines; acceleration; Euler's method; position; speed.

Problem Set 17-01

Working with dr/dt, dx/dt, dy/dt, and dy/dx. Writing tangent lines to polar curves.

Problem Set 17-02

Describing polar regions; partial fractions practice.

Problem Set 17-03

Polar practice: area, slope, dr/dt, minimums/maximums.