MATH 2254 CALCULUS II 4 CREDIT HOURS
Prerequisite: MATH 2253
A continuation of MATH 2253: Topics
include differentiation and integration of transcendental functions, integration
techniques, indeterminate forms, l'Hospital's rule, improper integrals, infinite
sequences and series, Maclaurin and Taylor series, conic sections, and polar
coordinates.
Text: Calculus,7E by James
Stewart, 7th edition (Brooks/Cole)
Calculator: TI83 or TI84 series
CODES: NC = do not use any
calculator, with the exception noted below; C = use the calculator without
restriction
NOTE: For some problems marked NC,
it is allowable (and useful) to use the calculator for graphing ONLY.
NOTE: Stewart contains two versions
of sections 6.2, 6.3, and 6.4 labeled with and without an asterisk. The
instructor may choose to cover logarithms followed by exponentials (6.2*, 6.3*,
and 6.4*) or exponentials followed by logarithms (6.2, 6.2, and 6.4). Students
should consult with their instructor regarding section coverage and homework
requirements.
(The following schedule and homework
are suggested and will vary with
instructor. Students should consult with their instructor regarding exam dates
and homework requirements.)
Week 
Topic 
Section (in Stewart) 
Homework 
Exam 
1 
Inverse functions, Natural logarithm 
6.1, 6.2* 
(pg. 390) NC: 313, 21, 23, 25,
27, 33, 3542 (pg 428) NC: 19odd, 1114, 15,
1737odd, 49, 6574 

2 
Natural exponential function, General
logarithms and exponentials 
6.3*, 6.4* 
(pg. 434) NC: 114, 21, 23,
2751odd, 53, 8192 (pg. 444) NC: 310, 2541odd; C:
11, 15 

3 
Inverse Trigonometric functions,
Indeterminate forms & l'Hopital's rule 
6.6, 6.8 
(pg. 459) NC: 111odd, 22, 2333, 38, 5970 

4 
Indeterminate forms & l'Hospital's
rule 
6.8 
(pg. 477) NC: 1, 3, 725odd, 2935odd,
41, 49, 55, 57, 59, 61 
Exam I 
5 
Integration by parts, Trigonometric
integrals 
7.1, 7.2 
(pg. 492) NC: 1, 2, 323odd, 2735odd,
37, 39 (pg. 500) NC: 139odd 

6 
Trigonometric substitution,
Partial fractions, Strategies for Integration 
7.3, 7.4, 7.5 
(pg. 507) NC: 1, 2, 3, 519odd,
23, 25, 27, 29 (pg. 516) NC: 14, 7, 9, 1127odd,
39, 41, 47 

7 
Strategies for Integration,
Improper integrals 
7.5, 7.8 
(pg. 523) NC: 151odd (pg. 551) NC: 1, 2, 539odd, 41,
4954 

8 
Sequences 
11.1 
(pg. 724) NC: 1, 3, 5, 9, 13, 2351odd,
73, 75, 77 
Exam II 
9 
Series, Integral test, Comparison
tests 
11.2, 11.3, 11.4 
(pg 735) NC: 1, 5, 7, 16, 17,
2747odd, 57, 59, 61, 63 (pg. 744) NC: 1, 325odd, 27, 29 (pg. 750) NC: 1, 331odd 

10 
Alternating series, Absolute
convergence and the ratio and root tests 
11.5, 11.6 
(pg. 755) NC: 1, 319odd, 27, 29 (pg. 761) NC: 1, 329odd, 31, 35 

11 
Convergence testing strategies,
Power series 
11.7, 11.8 
(pg. 764) NC: 127odd, 3137odd (pg. 769) NC: 319odd, 23, 25, 27 
Exam III 
12 
Representation of functions as
power series, Taylor & Maclaurin series, 
11.9, 11.10 
(pg. 775) NC: 3, 5, 9, 15, 17, 25, 29 (pg. 789) NC: 5, 7, 9, 13, 15,
16,17, 19, 29, 31, 33, 47, 49 

13 
Applications of Taylor Polynomials,
Curves defined by parametric equations 
11.11, 10.1 
(pg. 798) NC: 3, 5, 7, 9; C: 13,
17, 19 (pg. 665) NC: 5, 7, 9, 11, 13, 14 

14 
Calculus with parametric curves,
Polar coordinates 
10.2, 10.3 
(pg. 675) NC: 1, 3, 5, 7, 11, 13,
17 (pg. 686) NC: 16, 712, 2943odd 

15 
Areas in polar coordinates, Conic
sections 
10.4, 10.5 
(pg. 692) NC: 1, 2, 6, 9, 17, 19,
23, 27 (pg. 700) NC: 17odd, 11, 13, 15,
19, 21, 23, 25, 27, 29 
Exam IV 