Homework Assignments
Math 131 Fall 2015
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HOMEWORK SCHEDULE
Unless announced otherwise by email (by me or your TA), your Monday quiz questions will be
VERY similar to, or equal to, assigned homework problems for
the sections listed in the schedule of work above for the
previous week. (In the case of Monday Sept 14, it would be the previous
two weeks, given that Monday Sept. 7 is a holiday.)
Homework will not be collected.
FIRST DAY OF CLASS QUIZ
The first day of class is Monday August 31. It will involve
review of Sections 7.3 and 7.4.
There will be a quiz
(graded for credit, as usual).
Quiz questions will include
the following:
-- left, right and/or trapezoidal Riemann sums (approximations to
definite integral or area, as in Sec. 7.3)
-- computation of a definite integral of some function f(x)= x^a,
for some number a, using the Fundamental Theorem
of Calculus
-- computation of a definite integral
using substitution method, as in Sec. 7.4
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Homework assignments on the various sections will be posted over time.
Below, for example x.y:z indicates Problem z
in Section y of Chapter x of our text, the second
edition of Greenwell et al,
Calculus for the Life Sciences.
-
8.1: 1,7,11,15; read 30a (just appreciate that you can
use Simpson's Rule just knowing some function values,
without any general formula for the function)
More about 8.1:
For each of the three approximations
(Left Sum, Trapezoidal and Simpson's Rule)
answer the following:
(i) What kind of function is used to locally
approximate the integrand?
(2) (from lecture) if n is replaced by (10)n, approximately
how many decimal places of accuracy are gained?
-
8.2: 1-29 odd (For most of the integration by parts problems,
you might want to end your work when you see you know how to
finish.) and 51,53,55
-
8.3:
1,7,9,11, 15, 23, 24, 25, 31, 32,34,
35 (Hint: what is the derivative of tan x ?), 38
- 8.4:
1,3,5,15,18,23,28,29,47
- 9.1: 1a,7d,8d, 9,13,15,17,19, 25-30, 31, 48;
and optional: 35,38
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9.2: 1ad; 3,9,15,19,23,31,35,37,39,41, 50, 51,54,55,67,68
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9.4: 1,3,7,13,15,17,19,29,31
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9.3: 1,5,9,13,17,21,23,25,39,41
-
9.5: 1,3,4,11,13,23,24,29,35,53,57
-
Ch. 9 Review: 1-11(understand True-False; no explanation required);
77,79,81, 93,95,97
- 10.1: 1,3,5,13,15,17,19,29,46,50,63,64
- 10.2: 1-15,23,27,38,43,45,47
- 10.3: 1,3,5,7,9,11,13,14,17,21,31,36,37,38,52
- 10.4: 1,3,8,9,10,11,17,19,23,27,35,54,55,60,61
- Matrices and Derivatives Handout: sample problem
- Chain Rule Handout: sample problem
- 10.5: 1,3,7,11,15,19,23,25
- 11.1: 1,2,5,7,11,12,16,17,19,29,33,35,37,39,46,52,58,59,60
- 11.3: (Euler's method) none assigned. For computation, you
would only be tested on examples with simple
arithmetic and 2 or 3 steps to test understanding.
- 11.2: 1,3,5,9,15,23,24,33
- 11.4: 1,2,7,9,10,15
- 11.5: 1,3,5,9,10,14
- 11.6: 1,3,5,10,14
- 12.1: 1,3,2,9,11,15,17,19,21,23,27-30,37,39-42,49-55,61,69-72,75,76
- 12.2: 3-8; 9-49 odd; 53; 67-72, 80, 87, 93,95
- 12.3: 1-9; 11-29 odd; 30; 50c,55,57,61
- 12.4: 1,2,4,5,9,13,19,20,23(does the answer change if the first slip
is replaced before drawing the second?), 33,37; also in the Ch. 12 Review problems, the following are interesting: 94, 96, 105
- 13.1: 3,5,11,21,25,31,44
- 13.2: 1,3,7,17,23, 24, 32ad, 39
- 13.3: 1,3,6,7,8,9,11,13,19,20,21,23,37,45,49,50,57
- 14.1: 1,7,13,15,17,19; 25abc, 28abc
- 14.2: 1,7,13; 5,11,17; 19,21
(you can skip computing all those iterated values in 7,11)
- 14.3: 1,5,7,8(the eq. pts. are approx. 0, -.76 and .76), 11abc, 15abc, 21,23
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