Proposed schedule and list of recommended exercises
Math 138,
Winter 2011
Week
Dates
Sections and topics
Ass’t
Recommended exercises
1
Jan. 5-7
(Lectures 1 and 2)
A two-lecture week
Section 5.3
:
Quick review of “The Fundamental Thm
of Calculus. (Covered in Math 137)
No
Assg’t
Review
,
pp. 410-411 # 13,
17, 25, 33,
Section 5.5
Review
of Integration by the substitution
method. (Covered in Math 137)
§5.5
:
#19, 21, 43,
45, 65
Section 7.1
Integration by parts
§7.1
:
#3, 9, 15, 19,
23, 25, 47, 53.
2
Jan.
10-14
(Lectures 3 to 5)
Section 7.2 and 7.3
: Integration: Trig substitution.
1
§
7.2
:
#55, 61, 65
§
7.3
:
#13, 17, 33, 35
Sections 7.4
: Integration: Rational functions
•
Two lectures on this topic
•
Skip case of irreducible quadratics of
multiplicity greater than 1 in denominator.
§
7.4
:
#3.5,9,11,
17, 25, 31,43, 47
§
7.5
:
#17, 21, 31,
41, 45.
3
Jan. 17- 21
(Lectures 6 to 8)
Section 6.2
: Volumes using disks (Note : Section 6.1
was covered in Math 137)
2
§
6.2
:
#7, 9, 11,
31, 35, 51, 67, 70
Section 6.3
: Volumes using shells.
§
6.3