INSTRUCTOR: K.W.NICHOLSON email: caccphysic@aol.com
OFFICE HOURS: Monday & Wednesday, 1 - 3 PM 224 Ph 256-215-4336 or 4343
webpage located at: http://caccphysics1.cacc.cc.al.us
TEXT: Larson, Hostetler & Edwards, Sixth Edition

TOPICS COVERED: Functions, derivatives, curve sketching, max & min word problems, integration of polynomial, trig and exponential functions. (Essentially, Chapters 1 through 5)

PURPOSE OF THIS COURSE:
Til now most of your math has dealt with static situations and functions. Calculus introduces the math of dynamic situations. This course will develop the symbols and language of math that will enable you to solve some really interesting problems. Your objective should be to become familiar enough with differentiation and integration that it becomes part of your vocabulary and your thinking.

EVALUATION:

Item	Date	Discussion
4-100 point tests	Sept. 5 & 26, Oct. 17, and Nov. 7	No make up tests will be given. A missed test will be replaced by 1/2 of your final exam score.
1-200 point Final Exam	Dec. 12, 10:30 - 12:30	Final will be comprehensive.
non-credit quiz	weekly	These quizzes will be graded. If their average is greater than your lowest test score it will replace it.

The above total, excluding bonus points, is 600, (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 average is not above 70 by midterm, you should consider dropping the course to avoid a bad grade.

3. If you stop attending this class without obtaining a drop slip from student services the registrar will give you a grade of F in this course.

4. Words of wisdom regarding Math homework.
I hear........ and I forget,
I see..........and I remember,
I do...........and I understand. 1. Review some basic essentials in Algebra.

(a + b)n is never equal to an + bn for any n, so (a + b)2 = a2 + 2ab + b2, not a2 + b2.

And since nˆa = (a)1/n, = (a + b)1/n, so

= (a + b)1/2 is never a1/2 + b1/2 .

Never cancel the same thing from top and bottom of a fraction. Instead you divide numerator and denominator by the same factor, thereby reducing that factor to 1 on both top and bottom.

Rules for exponents. anam = am+n, so 32·34 = 36, not 96. (ab)n = anbn so (x3y4)2 = x6y8, but what is (x3 + y4)2 ? 1 a-n = an

Special products x2 - y2 = (x-y)(x+y) x3 + y3 = (x+y)(x2-xy+y2) x3 - y3 = (x-y)(x2+xy+y2) x2 + 2ax + a2 = (x+a)2

Analytical geometry

Points in the xy plane, distance and midpoint formulas.
A line and its essential components.
Slopes of parallel and perpendicular lines.
A circle and its essential components.

Course Overview.

1. Discuss the definition of functions and limits.

2. Discuss the true meaning of a derivative, to get an idea of its usefulness, and learn the differentiation formulas that make differentiation a powerful, easy to use tool that permeates all of science, and increasingly, business as well.

3. Practice using derivatives to graph functions, and solve applied problems.

4. Learn what an integral is, what it means, and what exactly was "the discovery of the Calculus", that made Newton and Leibniz so famous.

THE BIG PICTURE
Class time: Tuesday and Thursday 10:50 - 12:35

DAILY SCHEDULE

Date	Topic	L, H, & E Homework assignment
8- 20	€ An Introduction to Calculus € Defining What Calculus Can Do € Finding Limits conceptually € Finding Limits Graphically € Evaluating Limits € Evaluating Indeterminant Forms	Sect.1.2 Pg 53: 1,3,7,9,11-17, 37,39
8-22	€ More Evaluating Limits € Continuities & Discontinuities €Infinite Limits, Vertical and Horizontal Asymptotes NFQ 1	Sect.1.3 Pg 64: 5,11,19,27,31,41-49 Sect. 1.4 Pg. 76 5-9, 19,20,23,27,31,35,45 Sect. 1.5 Pg. 84: 1,3,6,7,11,14,15,29,31,33,59 Wkb Hwk # 5: 1 - 10, 11-33 Section 3.5 Pg 193: 1,3,11,13,15,35,37,39,41,47
8-27	€ Using Secant Lines to Find Average Rate of Change € Using the Derivative to Find Instantaneous Rates € Finding Instantaneous Velocity € Understanding the Concept of the Derivative €Derivatives and the Tangent line to a curve €Finding the Equation of Tangent Lines	Sect. 2.1 Pg 98: 1,3,4,5,9,13,27 - 33, 45,51-60 Sect. 2.2 Pg 110: 1 - 52, 81, 86B, 87B
8-29	€Derivative formulas €Product and Quotient Rules NFQ 2	Sect. 2.3 Pg. 121: 1 - 41, 51, 83, 84 Wkb Hwk 6: 1-22
9-3	The Chain Rule	Sect. 2.4 Pg 130: 1 - 25, 43-56, 61, 69-73
9-5	Test 1
9-10	Implicit Differentiation	Sect. 2.5 Pg 139: 1,5,7,11,19,21,23,27,29,35,37,41
9-12	Related Rate Problems NFQ 3	Sect. 2.6 Pg 146: 1,3,7,11,13,17,21,25,31,35,43
9-17	Max and Min Problems	Sect. 3.1 Pg. 160: 1 - 26, 29 - 36
9-19	Increasing and decreasing functions NFQ 4	Section 3.3 Pg 176: 1 - 31, 37, 43, 45
9-24	Second Derivative Test and Concavity	Section 3.4 Pg. 184: 1 - 5, 11,13 - 17, 23,27,29,41,43
9-26	Test 2
10-1	Optimization Problems	Sect. 3.7 Pg. 210: 5,13,15,17,21,39
10-3	NFQ 5
10-8	Differentials	Sect. 3.9 Pg 226: 7,9,11,15,21
10-10	Integration I NFQ 6	Sect. 4.1 Pg 248: 1 - 38
10-15	Sigma notion Definite Integral and Area	Sect. 4.2 Pg 260: 1,3 Sect. 4.3 Pg 271: 1 -10, 11,15,19,21,23
10-17	Test 3
10-12	The Fundamental Theorem of Calculus	Sect. 4.4 Pg. 283: 1 - 21, 25-30, 33-42, 67,69,73,75
10-24	Integration by Substitution NFQ 7	Sect. 4.5 Pg. 296: 1 - 27, 33 - 43, 47, 49
10-29	Log Fct Review & Differentiation of ln u	Sect. 5.1 Pg 318: 3 -30, 33,37,41- 55, 69,73,83,85
10-31	Ý du/u NFQ 8	Sect. 5.2: Pg 327: 1 - 40, 47 - 50
11-5	Exponential Functions	Sect. 5.4 : Pg 344: 1 -11, 27 - 51, 75 - 92
11-7	Test 4
11-12	Other Bases	Sect. 5.5: Pg 354: 1 - 13, 63,65, 69 - 75
11-14	Inverse Trig Functions NFQ 9	Sect. 5.8: Pg 382: 5 - 11, 19 - 29, 39, 41, 43 - 51
11-19	Integraion involving Inverse Trig Functions	Sect. 5.9 Pg 390: 1 - 32
11-21	NFQ 10
12-3
12-5
12 - 12	Final Exam 10:30 - 12:30