As suggested by the catalog description (below), this course focuses on algebra and trigonometry concepts underpinning calculus. Topics include data analysis, functions, graphs, limits, trigonometry, exponential & logarithmic functions, other functions, and math modeling. For detailed information and policies, please the Read the Full Syllabus.

## Unit 1

 Day TOPIC CONTENT Textbook Homework R 8/25 Introduction Syllabus Pretest Handshake problem 1.1 read the syllabus peruse this website look up the handshake problem and find out the connection to polygons [turn this in] T 8/30 Data Analysis Scatter plots, Association, Lines 1.2-1.6 Log-in to WeBWorK and change your email/password Complete Scientific Notation & Operations in WeBWorK [due 9/1] Read the Project Guidelines and be prepared for sign-up on Thu. R 9/1 Model Fit Least Squares, Residuals, Accuracy 1.7-1.8 Complete the Line of Best Fit Homework (based on the in-class activity) [due 9/6] T 9/6 Functions Function notation, Piecewise functions, Graphs of Functions 2.1 Complete both the Equations and Linear Equations assignments in WeBWorK [due 9/13] R 9/8 Function Operations Function Evaluation,Composition of Functions 2.10 Prepare for a quiz on function evaluation. T 9/13 Function Operations Function composition (cont.), Quiz 2.3-2.4 Finish the Quiz on Function Evaluation Complete the Percent Ratios Proportions and Function Evaluation assignments in WeBWorK [due 9/20] R 9/15 Curve Fitting Common Functions, Transformations 2.3-2.4, 2.8 Memorize the Graph-Equation Matching Finish Graphical Transformations T 9/20 Graphical Models Transformations, Plausible Equations for Graphs 2.8-2.9 Complete Regression Plots on a Calculator. R 9/22 Composite Graphs End Behavior, Graphical Inverses 2.11-2.12 continue practicing features of graphs T 9/27 Advanced Graph Features domain/range with equations, trig functions as parent graphs Start preparing for Exam 1. Due on 10/4: your solutions for any 5 of the study guide exercises. R 9/29 Function Modeling Review for Exam #1 T 10/4 Functions Exam #1 1.1-2.10 Carefully read the answer key, analyze it, and estimate your grade on Exam #1.

## Unit 2

 Day TOPIC CONTENT TEXTBOOK HOMEWORK R 10/6 Polynomials Roots, Multiplicity, Degree 6.7-6.8 T 10/11 Trigonometric Graphs Parent Trig Functions 5.1 Complete the Trig Graphs assignment in WeBWorK [due 10/18] R 10/13 Trig on the Unit Circle Modeling Data with Wave Parameters 5.4-5.5 T 10/18 Trig on the Unit Circle Trig values for a given angle or position on the unit circle. 5.4-5.5 Complete the Trig Values assignment in WeBWorK [due 10/25] See the Trig Reference Sheet as needed. R 10/20 Trig Modeling NO CLASS MEETING Sine Regression Complete the Online Sine Regression Activity. [Turn in on 10/25: (1) your table of data, (2) a sketch of your graph, and (3) the equation of your sine wave of best fit.] Consider going to the Mentoring sessions to work on your homework and online assignment with your peers and Carlos. T 10/25 Trig Values Puzzle of standard angles and associated trig values. 5.6, 5.13, 5.7 R 10/27 Trig Identities SOH, CAH, TOA & applications 5.9 T 11/1 Trig Equations Pythagorean Identity, Double and Half-angle Identities 5.8, 5,12 R 11/3 Inverse Trig Functions Graphical inverses, notation 5.10 Complete the Trig Equations assignment in WeBWorK [due 11/8] T 11/8 Trigonometry Review for Exam #2 5.1-5.13 R 11/10 Trigonometry Exam #2 5.1-5.13 See Exam 2 (including extra credit opportunity due 11/22)

## Unit 3

 Day TOPIC CONTENT TEXT HOMEWORK T 11/15 Logarithms Inverses of Exponential Functions 3.7-3.8, 3.10 Complete the Exponents assignment in WeBWorK [due 11/22] R 11/17 Logarithm Properties Laws of Exponents & Logs 3.9, 3.11 T 11/22 Log. & Exp. Equations Lecture on Equation solving Complete the Inverses and Logs assignment in WeBWorK [due 12/6] T 11/29 Inverse Functions Inverse Functions R 12/1 Limits Limits from a graph, piecewise limits T 12/6 Comprehensive Review for Final Exam T 12/13 Comprehensive Final Exam (8:00-10:30am)

## Final Exam Study Guide for Precalculus

Instructions for the Final Exam The final exam counts for 25% of your course grade. The exam has 12 exercises (100 points) and must be completed during 8-10:30 on 12/13/11. You may use a calculator with factory-shipped programs, 1 side of a 8.5 by 11 inch page written in your own handwriting, a provided reference sheet,…

## Exam 2 – Precalculus

The main topic of the second test in precalculus was trigonometry. See the Exam 2 Study Guide for detailed information. Download the Test Math 2312 - Exam 2 - Trigonometry Extra Credit Opportunity You can earn a transformed grade of $(\mbox{original grade})^{0.7}(100)^{0.3}$ by printing a blank copy of the Exam and turning in a full set of…

## Exam 2 Study Guide – Precalculus

This is one of two exams while combine to count for 30% of your grade. The exam has 8 exercises for 100 points and must be completed during class on 11/10/11. The exam has two parts – You may only use a writing utensil on Part 1. For Part 2, you will be provided a reference…

## Trigonometry on the Complex Plane

This in-class activity is designed to introduce trig identities by defining the complex exponential function according to Euler's Formula. Results in a fairly straight forward proof of the angle sum formulas for sine and cosine. Trigonometry and the Complex Plane (PDF) Trigonometry and the Complex Plane (DOCX)

## Reference Sheet for Basic Trigonometry

Available in Two Formats Reference Guide for Basic Trigonometry (DOCX) Reference Guide for Basic Trigonometry (PDF) Used in-class and potentially useful to anyone who may need a refresher on any of the following: Calculating sine, cosine, tangent, cosecant, secant, cotangent for an angle in a right triangle. Calculating sine, cosine, tangent, cosecant, secant, or cotangent…

## Online Activity: Modeling Trig Data

This activity is walks you through the steps to perform sine regression for a randomly generated data set using the TI-84. Step 1: Get a TI-84 Graphing Calculator (or similar). Don't have one? If you use Windows, you can download the attached Emulator (ZIP file), extract the Zip folder, and run the Wabbitemu.exe file. Load the…

## Randomized Wave Data Generator

The following little form produces randomized wave data using javascript. The purpose is to provide example data for someone learning to fit sine and cosine curves to oscillating data. Stop Sitting Around and Go Get You Some Data Press the "Get Data" button to generate some random oscillating data. Then copy and paste into a…

## Exam 1 and Answers – Precalculus

The first precalculus exam was based on functions and graphs. Download the Test and Answer Key Blank Copy of Exam 1 - Functions and Graphs Answer Key - Math 2312 - Exam 1 - Functions and Graphs What's on the Test? The main concepts on the test include reasoning about the following. Challenging topics are…

## Features of Graphs

Based on an in-class activity, these families of curves help you practice the qualitative features of functions. Download the Features of Graphs Activity

## Exam 1 Study Guide

Exam 1 is scheduled for class time on Tuesday, October 4th. The exam cannot be made up if missed. Review time is set aside for class on Thursday 9/29, and you're encouraged to work on the problems with your mentor. Download the  Exam 1 Study Guide