REVIEW FOR 136.275 TEST 1, November 13, 02

Chapters 10 (10.2-10.10), 12(12.7) and 13 (13.1 and part of 13.2) from Anton

DEFINITIONS:

10. Sequence, limit of a sequence, convergent series, geometric series, p-series,

absolute and conditional convergence, Taylor series, readius and interval of convergence,

Lagrange form of the n-th remainder.

12.7. Quadric surface (types), trace.

13. Limit (of a vector valued function), continuity, derivative.

THEOREMS:

10. Squeeze theorem, thm. (lemma) on monotonic bounded sequences, divergence

test thm., integral test, comparison, ratio and root tests, alternating series test thm.,

thm. on power series representation of functions, thm. on differentiation and

integration of power series.

13. Thm. on continuity of a vector valued function, thm. on differentiability of a vector

valued function.