MTH 126 COURSE OUTLINE Spring 2009
INSTRUCTOR: K.W.NICHOLSON OFFICE HOURS: Posted On http://caccphysics.cacc.cc.al.us
ph 256 215 4343 or 4336 Email: nnicholson@cacc.edu
TEXT: Larson & Hostetler 's Essential Calculus

TOPICS COVERED: Techniques of integration, applications of integrations, finding volumes of solids of revolution about a line, infinite series, maybe a study of conic sections. (Chapters 5 - 8, maybe 9)

PURPOSE OF THIS COURSE:
This course continues the study of calculus, emphasizing more complex integration techniques,

1. The primary task of Calculus II is to learn to integrate.

2. The second task is to learn what to do with integrals. This second task will probably be the more useful to you most of the time, but you can never tell when you'll step into a theoretical quagmire and have to reason your way out of it using the first task. Albert Einstein was a pragmatic physicist with considerable disdain for mathematical theory. He was deeply shocked when he discovered he was going to have to delve deeply into theoretical mathematics in order to complete his general theory of relativity.

Task #1 Integration

Lots of things on a bicycle are nice but unnecessary. With a little basic knowledge of rotational dynamics and practice, one can even ride a bike without handlebars. But wheels are absolutely essential.

You (should) already know that factoring is to algebra what wheels are to a bicycle.

A particular technique in integration, called either integration by substitution or integration by changing the variable, (by substituting in equivalent expressions for the original), is the wheels that enables one to roll in integration. That is where we will begin our course.

EVALUATION:

Item	Date	Discussion
1-200 pt Final Exam	May 4, 11 - 1	Final will be comprehensive.
3, 4, or 5 100 pt tests	TBA	No makeup tests will be given. A missed test will be replaced by 1/2 your final exam score.
Homework 100 points	Daily	5 points each, none accepted late.

GRADES:
The above total, excluding bonus points, is 600, 700, or 800, (plus a few points, depending on miscellaneous assignments), and your accumulative total will be divided by that amount to calculate your final average.

90 - 100 = A, 80 - 89 = B, 70 - 79 = C, 60 - 69 = D, 0 - 59 = F

NOTES:

l. Final percentage will be rounded UP, i.e., a final percent of 79.00000001 will be rounded up to 80.

2. You should keep all returned papers. You should also keep track of the ratio (your accumulative total)/(The accumulative total possible to date) as the quarter progresses. If this ratio is below 70 at midterm, you should come for a conference with the instructor to discuss what each of us can do to retrieve you from doom.

3. Words of wisdom regarding Math homework.

I hear........ and I forget,

I see..........and I remember,

I do...........and I understand.
THE BIG PICTURE

Class time: 10:50 - 12:35* Monday and Wednesday

*Unless you want a 10 minute break, in which case class will end at 12:45 Vote today!

DAILY SCHEDULE

Date	Topic	Due next class day after assiged Do one from each group: between commas
	Chapter 4 Review	Pg 304 1-8, 25-30, 41-50,61-66, 67-72
	Graphing Drill
	5.1 Area of region between two curves	1-4,5,7, 9&10, 11-21, 25
	5.2 Volume of revolved region: Disk Method	1-5,7-14,15-18,19-28, 51Bonus
	5.3 Volume of revolved region: Shell Method	1-12, 17, 21-24, 27-29, 29c Bonus
	5.4 Arc Length & Surfaces of revolution	3-14,35-39, 54 Bonus
	Test 1
	6.1 Integration by parts	5-8,45-48,9-27
	6.3 Trig Substitution	15-29, 31&32, 33-37 (b only), 51,53
	6.4 Partial Fractions	5&7, 9&11,12,13-17
	6.6 Indeterminate Forms & L'Hopital's Rule	7-26,27-37,45-50, 59&60
	6.7 Improper Integrals	1-11, 13-27,45-54,81-85
	Test 2
	7.1 Sequences	1-10, 21-24,25-28
	7.2 Series	1-5, 6-13, 19-24, 31-43, 49,63,65,67,75,77
	7.3 The Integral & Comparison Tests	1-13, 21-25,27&29, 41-49,51-62
	7.4 All the other tests for convergence	1-15, 31-41,43-58,75-88
	Test 3
	7.5 Taylor's Polynomials & Approximations	7-17,19-24
	7.6 Power series	1-2,3-5,7-28
	7.7 Power series representation of functions	1-2,3-13,15-25(maybe)
	7.8 Taylor's & Maclaurin's Series	1-7, 13,15,21-27
	8.1 Plane Curves & Parametric Equations	1-16, 25-28,31-34
	8.2 Parametric Equatioins & Calculus	1-3,5-8,9-14,15-16,21-24,27-34
	Test 4
	8.3 Polar Coordinates	1-4,9-14, 19-26, 27-34, 53,55,61-66(maybe)
	8.4 Arc length & Area	1-2, 3-4, 5-7, 13-17
	8.5 Elliptical Equations of Conics	1-4, 7-16, 27-32,33-38
	5.5 Applications in Physics & Engineering	TBA
	6.2 Trigonometric Integrals	5-13, 19-31,15-17, 39-41,51-56
	5.6 Differential Equations	1-7, 9,10
	Review for Final
May 4	Final Exam 11-1