Math 112 Course Outline Spring 2007

INSTRUCTOR: K.W. NICHOLSON
OFFICE : BS 224
Phone: 256 215 4336 or 215 4343 email: nnicholson@cacc.cc.al.us
Webpage: http://caccphysics.cacc.cc.al.us
OFFICE HOURS: See web page, others by appointment.

TEXT: Barnett, Ziegler & Byleen's PRECALCULUS Fifth Ed

CONTENT: Chap 1 - Equations & Inequalities
Chap 2 - Graphs & Functions
Chap 3 - Polynomial & Rational Functions
Chap 4 - Exponential and Logarithmic Functions
Chap 8 & 9 ?? We'll see.

EVALUATION:

4 - 100 POINT TESTS Jan. 25, Feb. 15, March 8, April 5
Daily Quizzes worth total of 100 pts
Lowest test grade will be replaced by 1/2 of final exam score (if it is higher)
1 - 200 POINT FINAL, Final Exam Thursday May 3, 9 - 11

Perspective from the instructor:

Up to this course, the primary objective of your study of algebra has been to learn symbols, definitions and operations in algebra. We will introduce a few more definitions, symbols and operations in this course, specifically: function notation, operations on functions, exponential and logarithmic functions, complex numbers, operations on complex numbers, systems of equations. But we also examine new ideas algebra was used to discover or examine more thoroughly: the Fundamental Theorem of Algebra, it's applications to solving polynomial equations.
In spite of all this exciting new content, the prevailing objective of this as well as any other math course is to learn the language of math, which requires working lots of problems requiring use of new concepts and lots of old algebra. This course has been designed to engage you adequately in the material to accomplish this objective.


The above total is 700 points, and your accumulative total will be divided by that amount to calculate your final percentage, which determines your final grade. Quiz average may replace your lowest test score.


GRADES: 90 - 100 = A, 80 - 89 = B, 70 - 79 = C, 60 - 69 = D

NOTES:

 

1. No make up tests will be given, a missed test will be replaced by 1/2 your final exam score.


2. Final percentages will be rounded up. i.e. 79.00001 will be rounded up to 80 . Tentative DAILY SCHEDULE

Assignment Tirade

The key to a comfortable life in any math class is to understand what's going on, what concepts are being discussed, and new notation being introduced (as opposed to trying to memorize what is being done).

The only way to achieve this comfortable understanding is to work problems. The better your background is the fewer problems you will have to do. The sad reality is, those with good backgrounds do lots of problems because they really are fun if you know what's going on, and those with bad backgrounds do the absolute bare minimun to get by. The end result is, the rich get richer and the poor get poorer.

The way around this conundrum, is to psych yourself up. Lie to yourself every day, tell yourself "I love math", chant it, rant it, get wild, then go do some problems, quick. Works best if you can do it with a friend.

It works. It saved me in english, it'll save you in math.

Of course, the other axiom that is true in any math or science course- Always stay one chapter ahead of the instructor- is the true secret to success in math and science.

But, if you really are unable to do the above, here's the secret.

Notation: Boldfaced problems are like ones on tests. If those are the only ones you do, do them at least three times each.

P.S. Boldfaced problems are also likely candidates for the daily quiizzes. (Those are the "must" problems)

Final Note: Dare problems are worth 5 pts bonus and due at beginning of next class.
Double Dares are worth 10 pts bonus.

Here's the way this class will be conducted.
1. Daily quiz on yesterday's material
2. You have read the book and done today's problems.
3. We discuss any difficulties you have with todays material.
4. We go to the board and work on today's drill sheets.

Class Time : Tu Th 9:25 - 10:40

Date

Topic

Assignment Due date or Discussion date

T Jan 9

P4: Complex Numbers +, -, x, ÷

Should: 9,11,13,17,19,21,27,31,61,63
Must: 51,57,

Th 1-11

1.1 Solving linear equations
Wks # 1: Linear Eq with complex fractions

Should: Basic 1 - 15
with fractions, including variables in denominator 29 - 39
Must:
5, 15 ,31,35

T 1-16

1.1 Eq containing absolute values

Should: 55 - 71
Must: 57, 63
Dare: 91, 92

Th 1 -18

1.2 Literal Equations
Wks #2

Should: 1 - 15
Dare: What temperaturer is the same on both C & F scales

T 1-23

1.3 Coordinate Geometry

1 -46, 55,57 7,15,27,33,37,45,57

Th 1 - 25

Test 1

T 1 - 30

1.3 Linear Equations

59 - 65, 71 - 77 61, 75,77

Th Feb 1

1.4 More Lines

Slope- 1 - 9, 3,5,9
Equation of line thru two points-11-17, 13,15,17
Reading graphs 19 - 25
Slope-intercept form 37 - 46, 41,43,45
parallel & perpendicular 57 -74

T Feb 6

1.6 Quadratic equations

sq. root rule 1 - 11, 9,11
factoring 15 - 23, 19,23
quad formula 41 - 55,49, 55
fractions 77-93, 87, 89, 93
literal 93 - 99

Th 2 - 8

1.7 Linear inequalities

linear inequalities 1 - 19, 11, 13
Union & intersection 39 - 51, 41,45

T 2 - 13

1.7 Absolute value inequalities

53 - 69, 53,59

Th 2 -15

Test 2

T 2 -20

Introductions to Functions

Meet today in the physics lab BS 214

Th 2 -22

2.1 Functions

11 - 67, 75 - 90
11-16, 19, 25-36 all, 55,57,67,81
Double Dare: 98

T 2 -27

2.2 Functions & Graphs

Should: 3,5,9,11,13,15,20,22,23,30,32,
33,35,41, 49,51,67,69

Th 3-1

2.3 Transformations

1 - 94
3,5,17-24,29,71-78,79,83,
Dare: 94

T 3 - 6

2.4 Operations (mainly "composition") with functions

1 - 83
11,13,29,35,41,53,61,63,81,
Dare: 101, 102
Double Dare: 110

Th 3- 8

Test 3

T 3-13

2.5 Inverses of functions

7-23, 39-60
11,14,15,19-24,41,45,63-70,71,73

Th 3-15

2.6 Variation & proportional -the language

1 - 35
1,3,5,9,21,23

T 3-27

3.1 Quadratic functions - Note error on pg 271

1 - 75
57,61,75

3.2 & 3.3 Theory of Equations This stuff is really interesting, powerful, and will offer you great insights if you plan to further your study of math. We'll do it last if time permits.

Th 3-29

3.4 Quadratic Types

1,5,11,17,57, 3,9,19,26 (sol - 2 & 6) , 41, 47, 51, 59
Dare: 78,84,89

T 4- 3

3.4 Continued

Graphs to equations 1 - 4
domain and x intercepts 5 - 12 11
VA & HA 13 - 20 15
Sketch easy 21 - 40 39
hard 53 - 58

Th 4-5

Test 4

T 4-10

3.5 Graphing Polynomial functions

3,7,31,33,43,87,20,25,29,35,45-52,63,64,67,91

Th 4 - 12

3.6 Rational Functions

13-16,19,21,27,,89,9335,37,45, 69,71

T 4 - 17

4.1 Exponential Functions

1-30, 47-84, 25,27,28,2953,54,61, 67,73,76,78

Th 4 - 19

4.2 Exponential & Log functions

1 - 102,
5,7,15,27,29,33,43-62,67,69,81,85,91,94

T 4 - 24

4.3 Rules of Logs

1-28,37-5873-80, 23,25,47,57,63,77

Th 4 - 26

4.4 more Exp & log equations

1 - 35, 6,7,15,19,21,27,33,35

Th 5 - 3

Final ExamThursday 9:00 - 11:00