York University
AS/SC/AK/MATH 1310 3.00MW (Winter 2008)

Integral Calculus with Applications

Homework

You should complete the following homework problems, and check your answers against those in the back of the text. You may consult the solutions manual (on reserve in Steacie Library) for complete solutions. Remember that the solutions manual numbers the problems according to the preliminary edition of Kochman's text. The only way to learn this material is to do lots of problems, so do a few each day and don't let yourself get seriously behind the lectures in terms of the practice problems.

In each section, if you feel reasonably comfortable with the material by the time you have finished that section, then you are probably putting in enough practice. But if you still feel shaky with the material from a section after finishing, then you should choose some similar problems from that section and work them too.

Where possible, I have selected problems that are present in both the preliminary edition of the text, and in the current (2nd edition). Problems listed below refer to the 2nd edition, with references to the preliminary edition given beneath in brackets and italics. The symbol 1E refers to the preliminary edition.

Chapter 3

1E Section 3.2 numbers 2a, 3a

Section 3.4 numbers 1a, 3bcdf, 4bfh, 5d, 6d, 7d
(1E Section 3.3 numbers 1a, 2bcdf, 4bfh, 5d, 6d, 7a)
Section 3.5 numbers 3, 5, 10, 13, 17, 21, 23
(1E Section 3.3 numbers 3bdi, Section 3.4 numbers 2, 5, 22, 28)
Section 3.6 numbers 6, 10, 17, 25, 26, 33, 43, 52, 55, 60, 70
(1E Section 3.4 numbers 10, 16, 26, 36, 37, 45, 55, 64adi, 65)
Section 3.7 numbers 1abe, 3a, 6adf, 7ae, 8ad
(1E Section 3.5, same numbers)
Section 3.8 numbers 1, 12
(1E Section 3.6, same numbers)
Section 3.9 numbers 1bd, 2, 4, 8, 14, 17
(1E Section 3.7, same numbers)

Chapter 4

Section 4.2 numbers 1cd, 3ae, 4de (all as rational numbers), 5, 13acfik, 21adfgi, 22cf
(1E Section 4.2, numbers 1cd, 3ae, 4de (all as rational numbers), 5, 8acfik, 9adfgi, 10cf)
Section 4.3, numbers 1ae, 2ei, 3ac, 4abdq, 5be, 6
(1E Section 4.3, numbers 1ae, 2ei, 3ac, 4abdk, 5be, 6)
Section 4.4, numbers 3, 11, 12, 28, 31c, 35
(1E Section 4.4, numbers 3, 11, 12, 19, 21c, 25)
Section 4.5, numbers 3, 9, 10, 16, 26
(1E Section 4.5, numbers 3, 9, 10, 16, 47)
Section 4.6, numbers 4, 5, 8, 13, 28a
(1E Section 4.5, numbers 25, 26, 29, 34, 52c)
Section 4.7, numbers 6, 7, 9, 13, 30
(1E Section 4.6, numbers 2, 3, 5, 10, 57)
Section 4.9, numbers 1, 3, 4, 6, 20, 25, 28, 33, 35, 36, 56
(1E Section 4.7, numbers 1, 3, 4, 6, 20, 25, 28, 31, 33, 34, 52)
Section 4.11, numbers 1abe, 2ad, 3, 7, 10
(1E Section 4.9, numbers 1abe, 2ad, 3, 7, 10)

Chapter 5

To this point we've been following the book's order of topics. But in Chapter 5 we'll move around a bit. There are three main topics here:

Numerical Sequences

Section 5.2, numbers 6abgh
(1E Section 5.2, numbers 1abgh )
Section 5.3, numbers 11, 12, 16, 21, 22, 30, 32, 40, 52, 59a
(1E Section 5.2, numbers 2ghl, 5bck, 4ai, 6k, 8a )

Numerical Series

Section 5.4, numbers 3befkw, 4a, 5b, 6adh
(1E Section 5.3, numbers 4bcdiu, 5a, 6b, 7adh)
Section 5.9, numbers 1, 2, 3, 5, 13, 16, 18, 20, 24
(1E Section 5.7, numbers 1, 2, 3, 5, 13, 16, 18, 20, 24)
Section 5.7, numbers 1abd
(1E Section 5.5, numbers 1abd )

Power Series

Section 5.5, numbers 1b, 4ae, 7ae, 8ce, 9ac, 11af, 12e
(1E Section 5.4, numbers 1b, 3ae, 4ae, 5ae, 6ac, 7af, 8e)
Section 5.6, numbers 1b, 2a, 3h, 4a, 5a
(1E Section 5.4, numbers 10b, 11a, 12h, 13a, 14a)
Section 5.4, numbers 6adg, 7f, 10bd, 12b
(1E Section 5.3, numbers 7adg, No equivalent, 9de, 11a )
Note that problem 7f asks for a power series for x^2/(1+4x^5)
Section 5.7, numbers 5fhi, 12be, 13ac, 14bd
(1E Section 5.5, numbers 2fhi, 5be, 6ac, 7bd)
Section 5.9, numbers 40, 41, 44, 45, 56a, 57d
(1E Section 5.7, numbers 37, 38, 41, 42, 53a, 54d)

York University AS/SC/AK/MATH 1310 3.00MW (Winter 2008)