MTH 125 COURSE OUTLINE Fall 2000
INSTRUCTOR: K.W.NICHOLSON
OFFICE HOURS: POSTED ON DOOR OF RM 224.
Ph 256-234-6346 ext 6259 or 6264
email: caccphysic@aol.com
webpage: on the CACC Physics Departments webpage located at:
http://207.157.12.149
TEXT: Howard Anton's Calculus, Sixth Edition and Thinkwell's Calculus 1 CD's
TOPICS COVERED: Functions, derivatives, curve sketching, max & min word problems, integration of polynomial, trig and exponential functions.
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 Due |
Discussion |
|
3-100 point tests |
Sept. 7, Oct. 5, and Nov. 2 |
No make up tests will be given. A missed test will be replaced by 1/2 of your final exam score. Note: Online students unable to take the tests in class, may take them in the physics lab BS 214 Wed, Thur, or Fri, of that week, 12 - 5 PM. |
|
1-200 point Final Exam |
Dec. 7 |
Final will be comprehensive. |
|
1-40 point project |
Nov 28 |
May consist of synopsis of 4 magazine articles, or a book
report. May consist of hosting 4 hours of discussion session at this course's website at blackboard.com If you are in physics, you can get paid twice for the same project! |
|
Online homework- 200 points |
Tuesday's homework is due at midnight the next night, Wednesday. Thursday's homework is due at midnight the following Monday. |
Homework problems will given one point each, but your final score will be divided by the total possible and multiplied by 200. The Thinkwell website provides hints for most of the problems in case you get stuck. But there will also be online discussion sessions every Tuesday and Thursday evenings 6 - 8 pm. You may also obtain assistance via email. |
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 October 13, the last day to drop without penalty, you should
consider dropping the course to avoid a bad grade.
3. WRITTEN REPORTS WILL BE GRADED EITHER ACCEPTABLE OR REDO FROM START.
4. 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.
5. 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
? |
Special products x2 - y2 = (x-y)(x+y) |
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.
You may take this course either online or in class, or a combination of the two. Here's how it works.
I will deliver the lectures in the table below on the specified dates. Each lecture will have a corresponding textbook homework and online homework. Textbook homework will not be turned in. Worked out solutions to these problems will be available on the Math 125 webpage.
The online homework will be for credit, it will be submitted online and graded automatically. There will be an online discussion session for those with questions or comments about the homework assignment on Tuesday and Thursday evenings from 6 to 8 PM. Other discussions will be hosted by students in this class and announced on the website once they are organized. Homework assignments are due Wednesday and Monday nites at midnight.
The Thinkwell packet you purchased at the bookstore includes three
CD's. The same set of lectures that I am giving are on these CD's,
only they are done by Dr. Edward Burger.
Class time: Tuesday and Thursday 10:00 - 10:50, 11:00 - 11:55
DAILY SCHEDULE
|
Date |
Topic / Thinkwell Assignments |
Anton Homework assignment |
|
8- 22 |
• An Introduction to Calculus • Defining What Calculus Can Do • Finding Average Rates of Change Orientation to Math 125 Webpage |
|
|
8-24 |
• Using Functions • Graphing Lines • Graphing Parabolas |
Pg 22: 3,4,5; Pg 34: 1,3; Pg 58: 37 |
|
8-29 |
The Concept of the Limit -Exercises • Finding Rate of Change Over an Interval • Finding Limits Graphically |
Pg 175: 1,3 |
|
8-31 |
• Evaluating Limits -Exercises • Evaluating Indeterminant Forms • Using Canceling and Conjugates in Limits • Applying Limits to Unusual Things |
Pg 137: 1,3,5,7,9,11--
|
|
9-5 |
Understanding the Derivative -Exercises • Using Secant Lines to Find Average Rate of Change • Finding Instantaneous Velocity • Understanding the Concept of the Derivative |
Pg 175: 9,11,13,15 |
|
9-7 |
Test 1 |
|
|
9-12 |
Using the derivative -Exercises • Using the Derivative to Find Slopes of Tangent Lines • Using the Derivative to Find Instantaneous Rates • Finding the Equation of Tangent Lines Some Special Derivatives -Exercises • Finding the Derivative of 1/x • Finding the Derivative of the Square Root of x |
----
Pg 187: 15, 16, 18 |
|
9-14 |
• Understanding the Concept of the Power Rule • Understanding Where the Power Rule Comes From • Using the Power Rule |
---- Pg 197: 1,3,5,11,13 |
|
9-19 |
The Product & Quotient Rules -Exercises • Using the Product Rule • Using the Quotient Rule |
Pg 197: 15,17,19 |
|
9-21 |
• Understanding the Concept of the Chain Rule • Using the Chain Rule • Using y-Notation |
-- |
|
9-26 |
• Reviewing Trigonometry • Graphing Trig Functions • Taking the Derivative of Trig Functions • Understanding the Number Pi |
---- Pg 208: 9 - 50-- |
|
9-28 |
Exponential Functions -Exercises Graphing Exponential Functions • Finding the Derivative of Exponential Functions • Evaluating Logarithmic Functions |
--
|
|
10-3 |
• Finding the Derivative of the Natural Log function • Using the Derivative Rules with Trig, Logs, and Exponentials |
Pg 260 1 - 46 Omit 321 & 32 |
|
10-5 |
Test 2 |
|
|
10-10 |
Implicit Differentiation Basics -Exercises • Understanding the Basics of Implicit Differentiation • Finding the Derivative Implicitly |
Pg 253: 1 - 7 |
|
10-13 |
Last day to drop a course without penalty. |
|
|
10-12 |
Applying Implicit Differentiation -Exercises • Using Implicit Differentiation • Applying Implicit Differentiation |
Pg 260: 31,32-- |
|
10-17 |
Position & Velocity -Exercises • Understanding How Acceleration Relates to the Derivative • Solving Word Problems Involving Distance and Velocity |
-- Pg 359: 1 - 16, ,17, 18, 19, 25 |
|
10-19 |
• Solving Related Rate Problems Involving Concentric Circles • Solving Related Rate Problems Involving Triangles with a Fixed Hypotenus |
Pg 274: 1,2,8,9 |
|
10-24 |
• Solving Related Rate Problems Involving Triangles with a Fixed Base • Solving Related Rate Problems Involving Triangles with a Fixed Height |
-- Pg 274: 20,26,28 |
|
10-26 |
• Understanding the Connection Between Slope and Optimization • Finding Maximum Areas |
-- Pg 348: 4,5,6 |
|
10 - 31 |
More Maximum & Minimum -Exercises • Finding the Maximum Volume of a Box • Finding the Maximum Volume of a Cylinder • Finding the Minumum Area of Mixed Shapes |
Pg 348: 17 - 22 |
|
11-2 |
Test 3 |
|
|
11-7 |
Critical Points Exercises •Finding Critical Points • Using Critical Points to Find Increasing and Decreasing Regions • Using the First Derivative Test |
Pg 296: 1,2, 9 - 24
|
|
11-9 |
Understanding the Basics of Concavity |
Pg 304: 1 - 14 |
|
11-14 |
Concavity Exercises Understanding the Basics of Concavity Using the Second Derivative toExamine Concavity Graphing Using the Derivative Exercises Using Derivatives to Graph Functions Using Derivatives to Graph Functions with Cusp Points Using Derivatives to Graph Functions with Even Roots |
Pg 319: 1 - 10 Pg 319: 23, 24, 25 |
|
11-16 |
Asymptotes Exercises • Finding Vertical Asymptotes • Finding Horizontal Asymptotes • Graphing Functions with Asymptotes • Graphing Functions with Asymptotes and Cancellation • Graphing Functions with Asymptotes and Critical Points |
Pg 91: 29 |
|
11-21 |
Antiderivatives Exercises • Understanding the Basics of the Antiderivative • Finding the Antiderivative of x Raised to a Power • Finding the Antiderivative of the Trig and Exponential Functions |
Pg 389: 1,2 Project Report Due |
|
11-28 |
U-Substitution Exercises • Undoing the Chain Rule with U-Substitution • Using U-Substitution on Polynomials |
|
|
11-29 |
Last day to withdraw from a course |
|
|
11-30 |
U-Substitution with Trig Fcts Exercises • Using U-Substitution on Basic Trigonometric Functions • Using U-Substitution on the Exponential Function and the Fraction du/u |
Pg 395: 1 - 35 |
|
12-5 |
• Calculus in 20 minutes |
|
|
12-7 |
Final Exam |