Week 
Tuesday  Wednesday 
Thursday



I. Introduction: Backgrounds and Key concepts  824 Introduction : How to succeed in this course. Sensible Precalc Ch 1.A 
825 PreTest 
826 What are Numbers? Comparing Numbers:=,< Operations. 

II. More
Backgrounds: Beginning FunctionsLinear functions and key concepts. 
831 Number Operations, equation, inequality properties. Types of Numbers Visualizing: numbers intervals. 
91 Rational numbers and decimals. See Moodle for worksheet. 
92
The Pythagorean theorem. [Over 30 proofs
!] [Many Java Applets proofs ] Sqr(2) is not a rational #. Solving linear inequalities Applications of linear inequalities Simplifying and Rationalizing Visualizing variables and plane coordinate geometry. Plane Coordinates. Similar triangles. Introduction to Winplot. Points, Animation.. 

III.Functions
and
lines 
97 More Algebra review. Review Polynomials. (Factoring) Tables. Introduction to Excel. Linear and quadratic "Functions" and Visualization of data. What's a function? More on functions. 
98 Linear
functions. Linear Functions and Visualization of data. 
99
Lines. Slopes and equations of lines. Y and X intercepts. Midpoints with coordinates. 

IV. Start
Trigonometry 
914 Circles Equations for circles. Inequalities and absolute values. MORE on functions! Graphs and mapping figures. 
915 Quiz
#1 Quadratic Functions and Visualization of data. 
916 Quadratic Functions Other function qualities. Winplot:Demonstation: Lines as equations and "functions". Exploring functions with Winplot: Primary Descriptive features of functions. (Increasing/decreasing/max/min) Overview of Core functions...elementary functions. Review of Key Triangles. 

V.
Triangle Trig 
921
Modeling
with
quadratic
functions. Secant line slopes. [Using winplot to graph and find key function feature and solve equations graphically for zeros.?] Start trig. Trigonometric functions for Right Triangles Solving Right triangles. Triangle trig: Inverse sine, cosine, tangent for acute triangles. Inverse trig 
922 Law of sines sine for obtuse angles. Law of Sines. 
923 More on Solving
triangles/
applications. More Inverse trig (sine obtuse). Graph piecewise functions. Visualize triangle trig and unit circle. 

VI.Finish Triangle Trig Trig function graphs  928 More on Law of Sines. Radian measure and circles in general. 
929 Quiz #2 
9 30 Start Law of cosines. Trig functions for all angles  with radian measure.(sine and cosine)(tan) 

VII
Trig Equations Trig Identities 
105 More 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 
106 Quiz #3 
107 Begin Graphs of trig functions. Sine and cosine. Begin trig equations and review of inverse trig functions(Asin and Acos) Simple use of identities: relating trig function values on unit circle. Solving Simple Trig Equations 

VIII. More trig identities.:)  1012 More on graphs of trig functions, identities and equations. Graphs for tangent and secant. Graphically solving trig equations. Identity games.. 
1013 Quiz #4 
1014 Addition formulae double angles! 

IX More trig identities,
equations, and graphs! 
1019 More Trig functions and equations: Addition formulae. Double and half angles 
1020  1021 Other Trig identities: Product to sum trig. Applications of Sum to slopes and trig function graphs for sine and cosine.. Identities and Equations Phase Shift  trig and linear compositions. 

X End of trig! 
1026 graphs and elementary functions More on graphs and basic properties of trig functions. 
1027 
1028 Phase shifts. Periodic functions .Phase Shift  trig and linear compositions. Continued! graph SinAX graph A sin(BX+C) 

XI Begin
Exponential and logs 
112 Misc. 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. 
113 
114Reference 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 

XII.Finish
exponents and Logarithmic functions. What are elementary functions? 
119 e! Logarithms: Introduction and definition. Basic properties of logs... and applications and exponentssolving equations Models using Exponential Functions Continuously compounded interest: Pe^{rt}. 
1110  1111 No Class VETERAN'S DAY 

XIII. Begin Polynomial and Rational Functions  1116More
exponential
models (Growth/Decay) Logs and Graphs of logs, exps with graphs of trig functions Logarithmic calculations in equations and computations. "Transforming equations." More applications of logs/exponential functions. 
1117  1118 Logarithmic scales log scales (simple) Log scales 

XIIIXIV 
1123
Fall Break 
1124 Fall Break  1125 Fall Break  
XIV More on rational functions. 
1128 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. 
1129 
1130 Rational functions.Asymptotes. Translation, symmetry and scales for quadratics Difference quotientsSlopes of secant lines for Polynomials. Polynomial analysis roots and positive and negative values. Roots of polynomials in general  inequalities. . 

XV PreCalculus!  124 Inequalities. Linear.
Quadratic.
Polynomial. Absolute value functions and inequalities Intermediate value theorem. Complex numbers, The fundamental theorem of algebra Composition & Inverse functions 
125 Quiz #8! 
126 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 and Room BSS TBA 
Tuesday, December 14 @ 10:20 am. 

Inventory of topics and materials 
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?? 