<p>So AP exam's is in a week! I think now is time to add last minute touch to things that you need to know for BC calculus exam. </p>
<p>Let's make a list. What you can do is like copy from previous poster's list and just add your own (please do not repeat). Also, try to be detailed as possible (i.e. no limit, derivative, integral, series... --> that's kind of too wide area).</p>
<p>I'll go on first.</p>
<p>L'Hopital's Rule
Area, volume
Derivatives of Trigonometric Functions
Trapezoidal Sum vs. Riemann Sum
Harmonic Series
p-Series
Convergence test (a<em>{n+1}/a</em>n)
e^x = x^0/0!+x^1/1!+x^2/2!+x^3/3!+....
Integral of Trig Functions
Integral and Derivatives of b^u where b = number</p>
<p>L'Hopital's Rule
Area, volume
Derivatives of Trigonometric Functions
Trapezoidal Sum vs. Riemann Sum
Harmonic Series
p-Series
Convergence test (a<em>{n+1}/a</em>n)
e^x = x^0/0!+x^1/1!+x^2/2!+x^3/3!+....
Integral of Trig Functions
Integral and Derivatives of b^u where b = number
The "infinity-th" root test for convergence
Maclaurin series for sin(x) and cos(x)
Euler's method
exponential growth
integration by parts
integration by trigonometric substitution
integration by partial fractions
integrals and derivatives of parametrically defined functions
integrals and derivatives of polar funcitons (also finding the area bound by --polar functions)
Lagrange error bound
integral test for convergence of an infinite series
direct comparison test for convergence of an infinite series
derivatives of implicitly defined functions
slope fields</p>
<p>L'Hopital's Rule
Area, volume
Derivatives of Trigonometric Functions
Trapezoidal Sum vs. Riemann Sum
Harmonic Series
p-Series
Convergence test (a<em>{n+1}/a</em>n)
e^x = x^0/0!+x^1/1!+x^2/2!+x^3/3!+....
Integral of Trig Functions
Integral and Derivatives of b^u where b = number
The "infinity-th" root test for convergence
Maclaurin series for sin(x) and cos(x)
Euler's method
exponential growth
integration by parts
integration by trigonometric substitution
integration by partial fractions
integrals and derivatives of parametrically defined functions
integrals and derivatives of polar funcitons (also finding the area bound by --polar functions)
Lagrange error bound
integral test for convergence of an infinite series
direct comparison test for convergence of an infinite series
derivatives of implicitly defined functions
slope fields
Taylor Series</p>