Math 1297 Calculus II
Test 2 info
Prof. Peckham
- Location: Bohannon Hall 80. Sit in alternate seats starting from the outside.
- Time: 12:55-1:50 Friday March 31.
- Sections covered: 7.7, 8.1-8.7, 9.1-9.2, 12.1-12.2
- General Info: The test will have between 15 and 20 problems.
Most,
but not necessarily all,
will be similar to Homework or Quiz problems.
- Students will be allowed to use calculators which do not have the
capability of symbolic manipulation. For example, the TI 89 is not allowed
for the test. Students should indicate on their solutions any place a calculator
has been used. The test will be written so that a calculator is not necessary.
Certain questions will require "exact answers" (as opposed to decimal
approximations obtained by calculator) for full credit.
- Tables provided: If I ask a question involving the integral tables
from the inside cover of the text (as in Sec. 8.6) I will provide the table.
I will also provide any of thetrig identity formulas needed from Section 8.2
except
for sin2x + cos2x = 1 and
tan2x + 1 = sec2x. In particular, I will provide
the double angle formulas for sin2x and cos2x, and the
formulas for sin(A)cos(B), sin(A)sin(B), cos(A)cos(B) from table 2, p. 523, if
needed.
- Study suggestions
- Review HW's, Quizzes, practice test. For a PDF version of the practice
problems select here.
- End of chapter review material:
- Ch. 7: Concept Check problem 7; True-False Quiz problem 18.
- Ch. 8: Concept Check problems 1-5; True-False Quiz problems 1-5, 8,9.
- Ch. 9: Concept Check problems 1,2
- Ch. 12: Concept Check problems 1,2,3a,4; True-False Quiz problems 1,3.
- Definitions required to know:
- The "epsilon-N" definition of what it means for a sequence {an} to converge to L. (Definition 1 on page 739)
- The definition of what it means for the series
a1+a2+a3+... to converge to S. (You will need to first define the nth partial sum sn.) (Definition 2, page 750)
- Proofs required to know:
- There will be one proof question on the test of the following type:
Prove that a specific geometric series converges to a specific limit
directly from the definition. That is, compute a formula for the nth
partial sum sn and take its limit as n goes to infinity. See
practice test problem #20 for example.
- Prove that if a series converges, the individual terms must converge to zero. (Theorem 6, p 754)
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and was last modified on
Monday, 27-Aug-2007 12:41:37 CDT.