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General Information
Facilitator:
Wayne Cook
Home: (970)229-9282
Cell: (970)690-9976
E-mail:
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
(End-of-Section Exercises(EXC)
& Quick-Check (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 1-4
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 in-class and
covers all the materials covered in the course. |
Comprehensive
Final Exam |
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