Bc Crossword

4. Polynomial that approximates a function near a point a.
7. When the sum of a series increases without bound or oscillates.
8. A curve defined using separate x(t) and y(t) equations.
9. Finds the length of a curve; applicable to parametric and polar forms.
11. A series converges even when all terms are made positive.
14. METHOD Numerical approach to estimate solutions of differential equations.
15. Inspirational math teacher who challenged students to succeed in AP Calculus, famously portrayed in Stand and Deliver.
18. Uses an improper integral to determine series convergence.
19. Flower-like graphs created by r = a \cos(nθ) or r = a \sin(nθ).
20. Shortcut for repeated integration by parts using a table format.
23. Determines convergence by comparing to a known series.
24. A Taylor Series centered at x = 0.

1. An infinite sum involving a_n(x - c)^n with variable x.
2. Breaks a rational function into simpler terms for integration.
3. A coordinate system where points are given by (r, θ).
5. A series converges only when terms retain their original signs.
6. Area found using \frac{1}{2} \int r^2 dθ.
10. Integral with an infinite limit or discontinuous integrand.
12. Compares terms of two series using a limit.
13. When a series approaches a finite value as the number of terms increases.
16. A test for convergence using the limit of |a_{n+1}/a_n|.
17. Integration method used for expressions involving square roots.
21. A series with terms that change signs.
22. A differential equation modeling population with a carrying capacity.