

General Information
Facilitator:
Wayne Cook
Home: (970)2299282
Cell: (970)6909976
Email:
wcook@regis.edu or
ww_cook@msn.com
Term:
Summer 8W2 2006
Meeting Times:
Starting Monday, 3 July 2006  6:00 PM until 10:00 PM
Grading:
Grade 
Range 
Grade 
Range 
A 
93%100% 
D+ 
67%69% 
A 
90%92 % 
D 
63%66% 
B+ 
87%89 % 
D 
60%62% 
C+ 
77%79% 
F 
0%59% 
C 
73%76% 


C 
70%72% 


5% lost for every week a homework is
late (unless other arrangements are made), no homework can be turned in past last night of class.
Course Description
MT
360B. CALCULUS I I (4).
Treats standard topics of single variable calculus including limits,
continuity, derivatives, applications of derivatives, and elements of
integration.
Materials Needed
Please see the
Module Overview for the list of needed materials.
Class Schedule
Please read the
assigned chapters in each book and complete each homework assignment
before the scheduled class. We will cover key elements
of each assignment and any areas on which you might have questions.
However, we will not be able to cover all of the topics presented in the
textbooks, so please read them well so that you may have a better
understanding of the material. Historically, there has been
a significant amount of work associated with this class, so please plan
to spend time out of class preparing for each week.
Please also see
the General Notes at the bottom of this web page.
Assignment 
Section 
Pages 
Homework Problems
(EndofSection Exercises(EXC)
& QuickCheck (QC) Problems) 
Work to be
covered in class 
Week
One 
8.1 
510 – 512 
QC 1 – 3
EXC. 1, 3, 5, 9, 11, 13, 19, 25,
29 
Review
Integration . 
6.7 
410 – 416 
QC 1 – 4
EXC 1, 5, 9, 15, 31 
Discuss
Rectilinear Motion. 
7.1 
442 – 447 
QC 1 – 4
EXC 3, 5, 7, 11, 15, 19 
Find area
bounded by two curves. 
7.2 
450 – 452 
QC 1
EXC 5, 17, 39, 41, 43 
Find volume
of a solid by the slicing method. 
Week Two 
7.2 
452 – 456 
QC 2 – 4
EXC 1, 3, 7, 13, 19, 23, 25, 29 
Find volume
by the disk/washer method. 
7.3 
450 – 463 
QC 1 – 3
EXC 1, 3, 7, 9, 11, 13, 15, 23 
Find volume
by the cylindrical shell method

7.4 
465 – 468 
QC 1 – 4
EXC 3, 5, 7, 17, 27 
Find the
Length of a Plane Curve. 
7.5 
471 – 474 
QC 1 – 4
EXC 3, 5, 13, 15 
Find the area
of a surface of revolution. 
Week
Three 
8.2 
513 – 519 
QC 2 – 4
EXC 3, 7, 11, 17, 21, 23, 27, 33,
39, 45 
Find the
integral of a function by the method of integration by parts. 
8.3 
522 528 
QC 1 – 4
EXC 1, 3, 7, 9, 11, 19, 29, 33,
43, 51 
Evaluate the
integral of powers of trigonometric functions. 
8.4 
530 – 535 
QC 1 – 4
EXC 1, 7, 9, 11, 17, 19, 25, 31 
Evaluate
integrals by the method of trigonometric substitution. 
Week Four

8.5 
537 – 543 
QC 1 – 4
EXC 1, 5, 9, 11, 17, 21, 27 
Evaluate
integrals of rational functions by partial fractions.

4.4 
256 – 262 
QC 1 – 3
EXC 3, 5, 7, 9, 11, 15, 17, 19,
25, 27 
Evaluate
limits of indeterminate forms. 
8.8 
569 – 575 
QC 1 – 3
EXC 1, 3, 4, 9, 11, 15, 17, 21,
25, 31, 41, 43 
Evaluate
improper integrals. 
10.1 
624 – 633 
QC 1 – 4
EXC 1, 3, 5, 11, 13, 17, 19, 23,
27, 35 
Discuss
sequences.

10.2 
635 – 641 
QC 1 – 4
EXC 1 – 21 (ODDS) 
Discuss
monotone sequences. 
Week Five 
10.3 
643 – 649 
QC 1 – 5
EXC 1, 3, 7, 9, 11, 15, 19, 27, 33 
Discuss
special of infinite series. 
10.4 
652 – 657 
QC 1 – 4
EXC 1, 3, 5, 7, 9, 13, 17, 19, 23 
Determine
convergence of infinite series using the divergence and integral
test. 
10.5 
659 – 664 
QC 1 – 4
EXC 1, 3, 7, 9, 11, 15, 17, 21,
25, 27, 29, 33, 35, 41 
Determine
convergence of infinite series using the comparison, ratio, and
root tests. 
10.6 
666 – 672 
QC 1 – 3
EXC 1, 5, 7, 13, 21, 25, 31, 35,
41 
Discuss
convergence of alternating series and other series with negative
terms. 
Week Six 
10.7 
675 – 683 
QC 1 – 3
EXC 1A & B, 3, 7, 9, 11, 15, 17,
21, 31 
Discuss
Maclaurin and Taylor polynomials. 
10.8 
685 – 692 
QC 1 – 4
EXC 1, 3, 5, 9, 11, 15, 17, 19,
21, 25, 29, 33 
Find a series
representation for a function. 
10.9 
694 – 701 
Review table on page 701.
EXC 1, 5 
Discuss error
of approximation. 
Week Seven

10.9 
694 – 701 
QC 1 – 4
EXC 9, 17, 19 
Find the
number of terms that will approximate the function to within a
given degree of accuracy. 
10.10 
704 – 711 
QC 1 – 4
EXC 1, 5, 7, 9, 13, 15, 19, 21,
25, 27, 29 
Differentiate
and integrate power series. 
11.1 
717 – 727 
QC 1 – 4
EXC 1, 3, 5, 7, 9, 11, 13, 15, 17,
19, 21, 25, 27, 31, 35, 37, 45, 51 
Discuss the
properties of functions in polar form. 
Week Eight 
1.8 
86 – 92 
QC 1 – 5
EXC 3, 5, 11, 19 
Review
parametric equations. 
11.2 
731 – 736 
QC 14
EXC 1, 3, 5, 7, 11, 13, 21, 25,
27, 29, 39, 41 
Find the
derivatives of parametric and polar curves.

7.4 
468 
EXC 9, 11, 13 
Find the arc
length of parametric curves. 
11.3 
740 – 744 
QC 1 – 4
1, 3, 9, 11, 13, 15, 19 
Find the area
bounded by polar curves. 
9.1 
582 – 592 
QC 1 , 3, 4
EXC 1, 3, 7, 15, 17, 19, 23 
Solve
separable differential equations. 
Review for
the Final Exam. 

The Final Exam is inclass and
covers all the materials covered in the course. 
Comprehensive
Final Exam 
