Math 112 Course Outline Spring 2006

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 Jan. 26, Feb. 16, March 9, April 6
Daily Quizzes worth total of 100 pts which you may use to replace your lowest test grade
1 - 200 POINT FINAL, Final ExamThursday May 4

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 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

DateTopicAssignment Due date or Discussion date
Tu Jan 101.1 Solving linear equationsBasic 1 - 15 5, 15
with fractions, including variables in denominator 17 - 24 21,23
Th 1-121.1 Eq containing complex fractions
literal equations
39 - 40 41
29 - 35 33, 35
Tu 1-171.2 Systems of linear equations by substitution1 -10,15 5, 9
Th 1 -191.3 Linear inequalities




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

Notation 1 - 16 7,15
Basic 17 - 30 27
using all the rules 43 - 54 45, 51
applied 59 - 64

Notation 31 - 42

Tu 1-241.3 Logic

1.4 Absolute Value eq & inequalities-basics


Applications
Explorations

65 - 72 Optional, maybe we'll do for fun

vocabulary & notation 9 - 28 7,11, 25
basic 29 - 44 39, 41, 43

(optional, for the brave)
45 - 62, 67 - 76 62-5 pts bonus

Th 1 - 26Test 1
Tu 1 - 311.5 Complex numbers: + , -, x, ÷basic operations 1 - 26 13,23
applications 27 - 40, 63 31,39
Th Feb 21.6 Quadratic equationsfactoring 1 - 6 5
sq. root rule 7 - 18 13,17
quad formula 19 - 26 23,25
mixture 35 - 49 47
Tu Feb 71.7 Quadratic typesradicals 7 - 17, 23 - 29 13, 25
exponential form 19 - 22, 31 - 36 21 ,33
Th 2 - 91.8 Quadratic Inequalities & rational inequalitiesQuad. 1 - 10 3,9
Rats 11 - 24 17
racy! 39 - 50 46 5 pts bonus!
Tu 2 - 142.1 Distance Formula & CirclesBasic understanding of coordinates 1-10 7
Dist 19 - 22 21
circles 23 -28, 55 - 60 25, 59
read graphs 29 -32
Th 2 -16Test 2
Tu 2 -212.2 Linesx & y int & slope 1 - 6
equation to graph 7 - 20 15
slope & int to eq 21 - 24 23
misc info to eq : easy 25 - 34, 27
parallel & perpendicular 35 - 46 43
Th 2 -232.3 Functionsnotation & vocabulary 1 - 18 11
function notation 19 - 28 25
recognize fct by equation 33 - 42 35,39
domain of fct. 43 - 56 53
alg & fct notation basic 65 - 70, 75 - 82 69
Tu 2 -282.4 Graphs & functionsread graphs 1 - 6 5
words to graphs 7 - 12 7
lines 13 - 18 13
parabolas by inspection 19 - 22 21
parabolas by x int 23 - 26 23
parabolas by comp sq 27 - 30 27
piecewise 31 - 38 35
Th 3-22.5 Graph by recognition1 - 6
+, - x, ÷, comp fcts 7 - 10 9
basic comp 11 - 13 11,
more interesting comp 29 - 40
read fcts 15 - 22 15
hard read fcts 31 - 36 35
graphs to equations easy 41 - 46, 47 - 52 43, 47
Tu 3 - 7
Th 3- 9Test 3
Tu-3-142.6 Inverses of functionsnot & voc 1 - 16, 31 - 34 7,11,33
show f & g inverses 35 - 40 calc sketch opt.35
find f-1 41 - 52 47
Th 3-163.1 Read functions II 1 - 8
long div 9 - 16 13
synthetic div 17 - 22 21
remainder theorem 23 - 28, 29 - 36 27
Tu 3-283.4 Rational functionsGraphs 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 3-303.4 Continued
Tu 4-44.1 Exponential Equationsconceptual 1 - 10 5
rules of exponents 11 - 22 21
exp equations easy 23- 34 29
Th 4-6Test 4
Tu 4-114.2 the number e and the compound interest formulanot & voc 7 - 12, 15 - 21 11
alg with e 23 - 28 27
equations with e 29 - 32 31
misc applied problems (all interesting, some really tuff) 43 - 67
Th 4 - 134.3 Log fctsvoc & not 1 - 44 13, 37
laws of logs expand 45 - 58 57
laws of logs contract 59 - 67 65
ditto, nse 69 - 75 73,75
log equations 78 - 86 81
Tu 4 - 184.4 log base 10 and base earithmetic 1 - 31 27
graph 33 - 40 33
Th 4 - 204.5 Exp & log equationseasy 1 - 26 15,23
nse 27 - 37 31
applications 49 - 56
Tu 4 - 253.2 Rational Root Theorem

3.5 Partial Fractions ??

not & voc 1 - 16
rem thm II 17 - 20
rat root thm easy 21 - 26,
nse 27 - 34,
hard 33 - 40
Th 4 - 27
Tu 5 - 4Final ExamThursday 9:00 - 11:00