MAT 142 - Honors Calculus II

MAT 142 - Honors Calculus II

## Study Guide for Final ExamOur final exam will be on Friday, May 12, at 8am-10:30am, in our usual classroom. Be sure to review the following topics: - Sequences: definition of a limit (in terms of ε and N);
- Functions: definition of continuity (in terms of ε and δ);
- Taylor's theorem (with remainder);
- Series: Tests for convergence or divergence;
- Absolute versus conditional convergence;
- Geometric series and telescoping series;
- Power series: radius of convergence;
- Taylor series for common functions (e
^{x}, cos x, sin x); - Radius of convergence, and how to compute it;
- Euler's formula for e
^{ix}, and what it means for the future of mankind.
Rob Findley has kindly volunteered to conduct a
review session on Thursday 5/11, at 4:30 pm,
in the Mathematics Common Room
(Math Tower, 4 |