By tScarff
• # Basic Integration Review

*Reviewed integrals
*Reviewed mean value theorem for derivatives
*Reviewed Mean Value Theorem
*Reviewed the first and second fundamental theorems of calculus
*Worked through multiple practice problems
*Also worked with u-substitutions Practice problems were pretty easy. Glad to have review with u-substitutions.
• # Slope Fields, Euler's Method, Growth and Decay

Slope Fields:
- Determine if f(x) is a solution of a Differential Eq.
- Construct part of a slope field
- Determine correct slope field
- Look for slope at axes Euler's (pron. Oiler's) Method:
- Use appr. step size (delta x)
- Find dy/dx
- find dy (dy/dx * delta x)
- new point is (x + dx, y + dy) NEED TO SEPARATE VARS. ALWAYS.
Learned growth and decay formulas. Appreciated review of growth and decay functions.
• # Infinite Series

*Reviewed different types of series
* reviewed tests for convergence and divergence
* reviewed difference between sequences and series Glad for review on the different tests, and on geometric series.
• # Taylor Series & Power Series

Overview: Appreciated the review on LaGrange Error Bounds, but remembered most other stuff. Need to review power series for transcendental functions. *Taylor Polynomials are polynomial approximations of transcendental functions
*Maclaurin Series = Taylor series centered at 0.
*Actual Error: |Rn(x)| = |f(x) - Pn(x)|
*LaGrange Error Bound: next derivative of z times (x -center) to the next power all over (n + 1)!
- z = a convenient maximum error.
- for example, use 1 for sin or cos
• Period: to

## Testing

Tests to practice for the AP
• # Looked at practice exams

Went over practice tests. Didn't do horribly, but could have done better.