Catalog Description: Indepth treatment of exponential, logarithmic,trigonometric, and polynomial functions. Prereq: HSU MATH 42 or 44 or 45 or math code 40.
Reality Quizzes 17 Best 6 scores  600 points 
Reality Quiz 8  100 points 
Section/Lab assignments  100 points 
Homework  200 points 
Final Examination  400 or 600 points 
Total  1400 or 1600 points 
Week\Day 
Monday  Tuesday  Thursday 


I. Introduction: Backgrounds and Key concepts  118 Martin Luther King Day No classes. 
119 Introduction : How to
succeed in this course. 
121Sensible
Precalc
Ch
1.A What are Numbers? Comparing Numbers:=,< 
122 Introduction to Winplot. Points, Animation.. Lab #1. 

II. More Backgrounds: Beginning FunctionsLinear functions and key concepts. 
125 Number Operations,
equations. Visualizing: numbers intervals. Solving linear inequalities Rational numbers and decimals. Sqr(2) is not a rational #. 
126 Applications of linear inequalities The Pythagorean theorem. Simplifying and Rationalizing [Over 30 proofs !] [Many Java Applets proofs ] Visualizing variables and plane coordinate geometry. Plane Coordinates. More Geometry review: Algebra review. Review Polynomials. (Factoring) 
128
Similar
triangles. 
129 Tables. Introduction to Excel. Linear and quadratic "Functions" and Visualization of data. Lab #2. 

III.Functions and lines 
21Lines.Circles Slopes and equations of lines. Midpoints with coordinates. Equations for circles. Abs. value inequalities 
More on Circles. Inequalities and absolute values. What's a function? 
Online Practice Quiz #1? More on functions. Linear functions. 
Lab #3 Winplot: Demonstation: Lines as equations and "functions". Exploring functions with Winplot: Using winplot to graph and find key function feature and solve equations graphically for zeros. Y and X intercepts. 

IV. Start Trigonometry 
28 MORE on functions! Graphs and mapping figures. Review of Key Triangles. 
Other
function qualities. Primary Descriptive features of functions. (Increasing/decreasing/max/min) Overview of Core: rational functions. 
Modeling
with
quadratic
functions. 
Lab #4 Increasing and decreasing functions. Secant line slopes. 

V.
Triangle Trig 
215 Start
trig. Trigonometric
functions
for
Right
Triangles
Solving Right triangles. Triangle trig: Inverse trig for acute triangles. Inverse trig 
More on Solving triangles/
applications. Law of sines Law of Sines. sine for obtuse angles. 
More Inverse trig (sine obtuse). 
Lab #5 Graph piecewise functions. Visualize triangle trig and unit circle. 

VI.Finish Triangle Trig Trig function graphs  222 More on Law of Sines. 
Radian measure and circles in general. 
Start Law of cosines.  Lab #6. Begin Graphs of trig functions. Trig functions for all angles  with radian measure.(sine and cosine)(tan) 

VII
Trig Equations Trig Identities 
31More
on
law
of cosines. A visual proof for "The Law of Cosines" Dynamic proof :The Law of Cosines Applications of triangle trig Begin Trig Identities 
Begin
trig
equations
and review of inverse trig functions(Asin and Acos) Reference More on graphs of trig functions, identities and equations. Simple use of identities: relating trig function values. Solving Simple Trig Equations 
More
trig
equations
and
identitiy
games. 
Graphs for tangent and
secant. Graphically solving trig equations. 

VIII. More trig identities.:)  38 More on Trig Identities: 
More trig equations and
identitiy games. 
Addition
formulae
double angles! 
NO
Class

University
Faculty
Furlough 

Spring
break
[312
to
21] 

IX More trig identities,
equations, and graphs! 
322 More Trig functions and equations: Addition formulae. 
Double
and half angles 
Other Trig identities:
Product
to sum trig. Applications of Sum to slopes and trig function graphs for sine and cosine.. 
Quiz
#4 Identities and Equations Phase Shift  trig and linear compositions. 

X End of trig! 
329 No class Flashman Furlough Day 
graphs and elementary
functions More on graphs and basic properties of trig functions. 
Phase shifts. Periodic functions Online Practice Quiz #5 available. 
Phase Shift  trig and linear
compositions. Continued! LAB #7 graph SinAX graph A sin(BX+C) Quiz #5 available online. Due 9pm 47 

XI Begin
Exponential and logs 
45Misc. Trig. Inverse trig functions. More on inverse trig functions(Asin and Acos): Triangles! Graphs for inverse trig. (esp'lly Inverse tangent function) 
More on inverse and trig functions. graphs of combining trig functions. Exponential Functions. 
Compound interest?
What
is e? Applications of Exponential functions Solving simple exponential equations.exponential functions and graphs. Graphs of exponential functions. More on Exponential Applications compound interest and growth. 
Exponential graphs LAB #8 

XII.Finish
exponents and Logarithmic functions. What are elementary functions? 
412 e! Logarithms: Introduction and definition. 
Basic
properties of logs... and applications and
exponentssolving
equations Models using Exponential Functions Continuously compounded interest: Pe^{rt}. 
More
exponential models (Growth/Decay) 
LAB #9 Logs and Graphs of logs, exps with graphs of trig functions 

XIII. Begin Polynomial and Rational Functions  419Logarithmic calculations in equations and computations. "Transforming
equations." 
More applications of logs/exponential functions. 
Logarithmic scales log scales (simple) Log scales 
Quiz #7 

XIV More on rational functions. 
426 Long division and factors of
polys. The remainder Theorem. The Factor theorem Roots and more on Polynomials. 
Functions
The big picture on functions: Core functions and elementary functions Symmetry [wrt origin....(axes).] Quadratics and 1/x. 
Rational functions.Asymptotes. Translation, symmetry and scales for quadratics Difference quotientsSlopes of secant lines for Polynomials. 
Lab
#10 Polynomial analysis roots and positive and negative values. Roots of polynomials in general  inequalities. . 

XVPreCalculus!  53 Inequalities. Linear. Quadratic. Polynomial. 
Quiz #8! In Class! Quiz # 8 will cover material from the following sections: TBA Absolute value functions and inequalities Intermediate value theorem. 
Complex numbers, The fundamental theorem of algebra Composition & Inverse functions 
Review: Final comments on elementary functions algebraic, logrithmic exponential, and trignometric. Some of my "favorite functions." A precalculus view of some calculus problems. Extremes, tangents,areas. 

Final Exam Review Session Sunday 11:301:00 Room BSS TBA 

Inventory of topics: 
Worksheet on log scales Music and log scales Earthquake Magnitude and logs. Slide rules Online java sliderule More Slide rules More applications of logs 
Trisection of angles, trig and algebra!  Complex numbers? Complex arithmetic and trig Properties of roots and exponents. More on Complex Numbers, trig and roots?? 
Due Date 
Reading Textbook or in SC on line. 
Recommended Problems Related Graded problems are on WebAssign 
Special Instructions & Interesting but
Optional 

1/22  Sensible Precalc Ch 1.A  
1/2225  Sensible
Precalc Ch
1.B.1 (Firefox Preferred) 
Extra
help
from
Purple Math on Converting between Decimals,
Fractions, and Percents 

1/2829 
1.1, 1.2 pp 1926, 1.6 pp 7579 
More on Similar triangles.  
2/1  Similar triangles.  Dynamic Geometry® Exploration SimilarTriangles  
2/24 
2.1 2.2 2.3 
2.1:1,5,9 2.2: 111 odd;2327 odd; 35,65 2.3: 15; 2127 odd 
2.1:21 

2/24 
Sensible
Precalc
Ch
1.B.2
(Firefox preferred) 2.4 

2/58 
2.4 
2.4:1,3,5,9,21,25,47,53,73 

2/812 
2.6 
2.6: 1321odd (b and c),41,45,53 

2/122/15 
2.7 Examples 35. 
2.7: 1117 odd;37 

Inventory 



Ch
1.B.1: 1c, 2, 16 

Law of Sines.  
A visual proof for "The Law of Cosines"  Demonstrations of the laws of sines and cosines  
History of Pi  
sin(A+B) proof illustrated.  
Summary of trig identities  
History
of
Trigonometric
functions 

graph SinAX graph A sin(BX+C)  
Trisection of
angles, trig and algebra! 8.5.3 Multiplying and Dividing Complex Numbers in Trigonometric or Polar Form (Disc 4, 11:08) Complex Numbers, 

5.3.3 Graphing Exponential
Functions: More Examples (Disc 3, 7:18) 

History of the number e  
How and Why a Slide
Rule Works Online java sliderule 

History of the Function concept  

Sensible
Precalc
Ch
1.B.2
Read!(Firefox preferred) 
Lab #7 0ld. old LAB #8 graph SinAX graph A sin(BX+C) 
