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...
Doing stuff with a table of f(x) and its derivative at values; derivatives of trig/inverse trig functions; volume of revolution
Separable differential equation; integration by parts; Second FTC
Function defined by a limit; tangent line; average value; volume with known cross-sections
"Re-centering" a polynomial (it's relevant to series stuff)
Geometric Series stuff
Investigating geometric series again...
Manipulating yet another geometric series...
Just your standard Taylor Polynomial problem
Taylor Polynomial problem again; a few review antiderivatives
Evaluating infinite series of constants by recognizing them
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).
Integral of sine squared in two ways; accumulation function, derivative; Euler's Method; Taylor Polynomial; logistic differential equation; arc length; critical points.
Logistic differential equation; range; Taylor polynomials; implicit differentiation--kind of...
Parametric equations; FTC; tangent lines; describing motion based on derivatives; finding explicit functions for x(t) and y(t).
Parametric equations; given graphs of dx/dt and dy/dt; first derivative; describing motion and shape of curve; speed.
Parametric equations; speed, velocity, acceleration; slope; position; distance traveled; describing motion.
Parametric equations; trapezoidal sum; tangent lines; acceleration; Euler's method; position; speed.
Working with dr/dt, dx/dt, dy/dt, and dy/dx. Writing tangent lines to polar curves.
Describing polar regions; partial fractions practice.
Polar practice: area, slope, dr/dt, minimums/maximums.