Math 115 Summer 2012 Schedule+Assignments

Math 115 Summer 2012
*Tentative* Schedule [Subject to change and correction-6-12-2012]
Week\Day	Monday	Tuesday	Wednesday	Thursday
I. Introduction: Backgrounds and Key concepts	5-21 Introduction : How to succeed in this course.	5-22 Finish course info? What are Numbers? Sensible Precalc Ch 1.A R.1 Comparing Numbers:=,< Operations.	5-23 R.1, R.2, R.5, 1.5 Number Operations, equation, inequality properties. Types of Numbers Rational numbers and decimals. See Moodle for worksheet. Sqr(2) is not a rational #. Visualizing: numbers- intervals.	5-24 Solving Linear Equations Solving linear inequalities Radicals worksheet. Simplifying and Rationalizing
II. More Backgrounds: Beginning Functions-Linear functions and key concepts. Begin Right Triangle Trig	5-28 No Class Mem'l Day	5-29 Practice Quiz #1 Applications of linear inequalities Abs. value inequalities R.7 , (1.5), 1.6. The Pythagorean theorem. [Over 30 proofs !] [Many Java Applets proofs ] Similar triangles. Algebra review. Review Polynomials. (Factoring)	5-30 Quiz #1 Introduction to Winplot. Points, Animation. Tables. Visualizing variables and plane coordinate geometry. Plane Coordinates.	5-31 R.4, 1.1, 1.2- What's a function? Linear Functions and Visualization of data .Sensible Precalc Ch 1.B.1 (Firefox Preferred)
III. Triangle Trig	6-4 More Geometry review: Midpoints. Circles Graphs and mapping figures. Other function qualities.	6-5 Review of Key Triangles. Overview of Core: trigonometric for Right Triangles Overview of Core: More on functions. Linear functions.	6-6 Practice Quiz #2 Introduction to Excel. Primary Linear "Functions" and Visualization of data. Lines. Slopes and equations of lines.	6-7 Quiz #2 Solving Right triangles.
IV.More Trig plus quadratics	6-11 Secant lines and Linear Interpolation More Inverse trig. Triangle trig: Inverse trig acute	6-12 Primary Linear and quadratic "Functions" Descriptive features of functions. (Increasing/decreasing/max/min)	6-13 Practice Quiz #3 Areas of Parallelograms and triangles. sine for obtuse angles. Start Law of Sines.	6-14 Quiz #3 Exponential Functions. Solving simple exponential equations More on Exponential Applications- compound interest and growth. Trig for obtuse angles A visual proof for "The Law of sines" and More. Trig functions for all angles (sine and cosine)(tan)
V. More Triangle Trig & Begin Exponential functions and Logarithmic functions	6-18 Applications of triangle trig More law of sines Law of cosines Piecewise functions	6-19 More on law of cosines. Properties of roots and exponents. Basic properties of logs... and applications and exponents-solving equations.	6-20 Practice Quiz #4 Radian measure in circles. A visual proof for "The Law of Cosines" Dynamic proof :The Law of Sines Graphs of exponential, Compound interest? Applications of Exponential functions More exponential functions and graphs. What is e? Composed Mapping figures.	6-21 Quiz #4 Logarithms: Introduction and definition. logarithmic general. Graphs of logs, exps, sin and cos Properties of logs and exponents- The big picture on functions: Core functions and elementary functions Symmetry [wrt axes.]
Below this line is currently under development
VI.Trig function graphs [LAB? ]	6-25 More on graphs of trig functions. Graphs of tan and sec. Inverse tangent function.	Models using Exponential Functions Logarithmic calculations in equations and computations. More on graphs of trig functions. graph SinAX graph A sin(BX+C)	Graphs of tan and sec. More on graphs and basic properties of trig functions. More applications of logs Logarithmic scales.Slide rules ?	7-2 Begin Trig Identities Begin trig equations and review of inverse trig functions Log scales and graphs. More exponential models Slide rules On-line java sliderule
VII.Trig Equations Trig Identities *LAB *?]	7-2 Trig Identities	Translation, symmetry and scales for quadratics .	NO Class July 4 Holiday	Trig equations and review of inverse trig functions (Asin and Acos) More on graphs of trig functions, identities and equations.
VIII.Lab: Graphing Functions with Winplot.? Lab: Graphing and Trig Applets.? tfigs.wp2 tfigslink.wp2	7-9 Graphs for inverse trig. Addition formulae	More on Trig Identities: double angles! Double and half angles	Product to sum trig.Other Trig identities. More on quadratics and 1/x. Begin Rational functions	Long division and factors of polys. Complex numbers and trig
IX.Polynomial and Rational Functions	7-16 Roots and more on Polynomials. More Trig functions and equations: graphs and elementary functions Complex arithmetic and trig!	Graphs of polynomials and rational functions. More on Complex Numbers, trig and roots.	Quiz # 8 will cover material from the following sections covered in assignments for TBA Brief look at The Logistic	Difference quotients.? MORE Polynomials- rational, real and complex roots! Intermediate value theorem. Inequalities. Bisection and Secant methods for estimating roots. Rational functions.Asymptotes. Putting functions together?
X. Pre-Calculus!	7-23 More on rational functions. Combining trig Functions- lines review. Composition & Inverse functions	Final comments on functions- algebraic and trignometric. "Tangents to graphs for logs and exponential functions. "?? A precalculus view.	7-25 Final Exam Part I (40 minutes on Log and exponential functions.)	7-26 Final Exam Part II (80 minutes with very little from Part I)

TentativeAssignments are on MyMathLab
Recommended Problems will be posted there as well.
[Work in Progress: Subject to change and correction]
Last updated: 5-23-12

SECTION
Reading Textbook
or in SC on line.

Special Instructions & Interesting but Optional

Sensible Precalc Ch 1.A

Sensible Precalc Ch 1.B.1 (Firefox Preferred)

Extra help from Purple Math on Converting between Decimals, Fractions,
and Percents

Sensible Precalc Ch 1.B.2 Read!(Firefox preferred)

Dynamic Geometry® Exploration SimilarTriangles

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.