Math 112 Course Outline Spring 2004

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
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 FIRST HOUR Jan. 22, Feb. 12, March 4, April 1
1 - 200 POINT FINAL, Final ExamTuesday May 4, 9:00 - 11:00

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, and maybe matrices, operations on matrices, and finally the Binomial Theorem. 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, Matrix Algebra, and the Binomial Theorem.
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 600 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

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

Date

Topic

Assignment Due date or Discussion date

Th Jan 8

1.1 Solving linear equations

Basic 1 - 15
with fractions, including variables in denominator 17 - 24

T 1-13

1.1 Eq containing complex fractions
literal equations

39 - 40
29 - 35

Th 1-15

1.2 Systems of linear equations by substitution

1 -10,15

Tu 1 -20

1.3 Linear inequalities

Notation 1 - 16
Basic 17 - 30
using all the rules 43 - 54

Th 1 - 22

Test 1

Tu 1 - 27

1.3 Union & Intersection
^ what the giant sweeping arm collects
_ two sets pass through each other, what collides,

Notation 31 - 42
applied 59 - 64

Th 1- 29

1.3 Logic

65 - 72

Tu Feb 3

1.4 Absolute Value eq & inequalities-basics

vocabulary & notation 9 - 28
basic 29 - 44

Th 2 - 5

Applications
Explorations

45 - 62
67 - 76 (optional, for the brave)

Tu 2 - 10

1.5 Complex numbers: + , -, x, ÷

basic operations 1 - 26
applications 27 - 40, 63

Th 2 -12

Test 2

Tu 2 -17

1.6 Quadratic equations

factoring 1 - 6
sq. root rule 7 - 18
quad formula 19 - 26
mixture 35 - 49

Th 2 -19

1.7 Quadratic types

radicals 7 - 17, 23 - 29
exponential form 19 - 22, 31 - 36

Tu 2 -24

1.8 Quadratic Inequalities & rational inequalities

Quad. 1 - 10
Rats 11 - 24
racy! 39 - 50

Th 2-26

2.1 Distance Formula & Circles

Basic understanding of coordinates 1-10
Dist 19 - 22
circles 23 -28, 55 - 60
read graphs 29 -32

Tu 3 - 2

2.2 Lines

x & y int & slope 1 - 6
equation to graph 7 - 20
slope & int to eq 21 - 24
misc info to eq : easy 25 - 34,
parallel & perpendicular 35 - 46

Th 3- 4

Test 3

Tu 3-9

2.3 Functions

notation & vocabulary 1 - 18
function notation 19 - 28
recognize fct by equation 33 - 42
domain of fct. 43 - 56
alg & fct notation basic 65 - 70, 75 - 82

Th 3-11

2.4 Graphs & functions

read graphs 1 - 6
words to graphs 7 - 12
lines 13 - 18
parabolas 19 - 26
piecewise 31 - 38

tu 3-16

2.5 Graph by recognition

1 - 6
+, - x, ÷, comp fcts 7 - 12
basic comp 13 - 18
more interesting comp 29 - 40
read fcts 19 - 22
hard read fcts 31 - 36
graphs to equations easy 41 - 46, 47 - 52

th 3-18

2.6 Inverses of functions

not & voc 1 - 16, 31 - 34
show f & g inverses 35 - 40
find f-1 41 - 52

Tu 3-25

3.1 Read functions II

1 - 8
long div 9 - 16
synthetic div 17 - 22
remainder theorem 23 - 28, 29 - 36

Tu 3-30

3.2 Rational Root Theorem

??

not & voc 1 - 16
rem thm II 17 - 20
rat root thm easy 21 - 26,
nse 27 - 34,
hard 33 - 40

Th 4-1

Test 4

Tu 4 - 6

3.4 Rational functions

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

Th 4 - 8

3.5 Partial Fractions

??

easy 1- 10
nse 11 - 22
hard 23 - 26

Tu 4 - 13

4.1 Exponential Equations

conceptual 1 - 10
rules of exponents 11 - 22
exp equations easy 23- 34

Th 4 - 15

4.2 the number e and the compound interest formula

not & voc 7 - 12, 15 - 21
alg with e 23 - 28
equations with e 29 - 32
misc applied problems (all interesting, some really tuff) 43 - 67

Tu 4 - 20

4.3 Log fcts

voc & not 1 - 44
laws of logs expand 45 - 58
laws of logs contract 59 - 67
ditto, nse 69 - 75
log equations 78 - 86

Th 4 - 22

4.4 log base 10 and base e

arithmetic 1 - 31
graph 33 - 40

Tu 4 - 27

4.5 Exp & log equations

easy 1 - 26
nse 27 - 37
applications 49 - 56

Tu5 - 4

Final ExamTuesday 9:00 - 11:00