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# College Algebra MAT1853 Dual Enrollment

## Course ID: 3632

URGENT NOTE:

This should only be done AFTER you have enrolled in the class and have a held and approved seat. Thank you!

Dual Enrollment Course (3.0 credits)

College Algebra is a pre-requisite to Pre-Calculus or Trig. Topics include: equations and inequalities, graphs, functions including composite functions, polynomial functions, rational functions, exponential function, and logarithmic functions, systems of equations and inequalities.

A scientific calculator will be needed.

Prerequisite: Algebra II with a grade of C or better *or Mrs. Beisel's approval.

Required Materials: College Algebra, Graphs & Models 3rd Edition by R. Barnett McGraw Hill

Also Ti 83 or 83+ graphing calculator

**In order to receive any Dual Enrollment credits from PBAU you must go to **__Dual Enrollment PBAU Registration__** ****and follow the directions precisely.**

Resources and Materials:

College Algebra Graphs & Models

— Author: Barnett, Ziegler, Byleen, Sobecki

— ISBN-10: 0073051950

— ISBN-13: 9780073051956

— Cost: $15

Categories: Dual Enrollment; Math

Target Levels: Grade 10; Grade 11; Grade 12

High School Credits: 1

College Credits: 3

John Baker

Tuition and Class Schedule by Academic Term:

Fall Only Term 2024

Tuition and Fees

Tuition Fee: $595.00

PBAU Fee For DE: $60.00

Paid Security Guard Fee for Safety of Students: $25.00

Copying Resource Fee: $10.00

Section 1: John Baker (bakerj@wa.edu) (Open)

Thu 3:45

**PM**- 5:55**PM**

Topics and Objectives

1. Factoring Polynomials/Rational Expression Operations

— - Factor second-degree polynomials

— - Factor by grouping

— - Reduce rational expressions to lowest terms

— - Add/subtract/multiply /divide rational expressions

— - Simplify compound fractions

2. Using Graphing Calculators

— - understand screen coordinates

— - use the Trace, Zoom, and Intersect commands

3. Functions

— - Identify functions vs relations in tables, graphs, and equations

— - Use function notations interchangeably and identify the domains and ranges

— - Solve equations and formulas for a variable

— - Identify increasing and decreasing functions

— - find local maxima and minima

— - Define functions piecewise

— - Shift graphs horizontally and vertically

— - Stretch and shrink graphs

— - Reflect graphs in the x and y axis

— - Perform operations on functions

— - Find the composition of two functions

— - Find the inverse of a function

— - Graph the inverse of a function

4. Linear Functions

— - Use slope-intercept and linear combination forms in problem solving

— - Fit a linear model to to a situation or data

— - Explore the graph Ax + By = C

— - Define the slope of a line

5. Quadratic Functions

— - Solve quadratic equations for real and complex solutions using the square root method, factoring and the Quadratic Formula.

— - Fit a quadratic model to data using the graphing calculator.

— - Perform operations with complex numbers and analyze the solutions and x-intercepts of quadratics using the discriminant

— - Use the vertex form of a quadratic function

— - Solve equations involving radicals

— - Solve equations of quadratic type

— - Solve linear and quadratic inequalities

6. Polynomial and Rational Functions

— - Analyze graphs of polynomials

— - Divide polynomials using long and synthetic division

— - Apply the Remainder and Factor theorems

— - Approximate real zeros at turning points

— - Solve polynomial inequalities

— - Find vertical and horizontal asymptotes of Rational functions

— - Draw the graph of a Rational function

— - Solve Rational inequalities

— - Find factors of polynomials with real coefficients

— - Find rational zeros

— - Model using Direct variation

— - Model using Inverse variation

7. Exponential and Logarithmic Functions

— - Evaluate logarithmic expressions and solve logarithmic equations.

— - Apply properties of logarithms to solving exponential and logarithmic equations and applications.

— - Apply exponential growth and decay models (including continuous growth) to problem solving.

— - Define exponential functions

— - Analyze graphs of exponential functions including Base e

— - Calculate compound interest (including continuous interest)

— - Write an equation that models exponential growth or negative exponential growth

— - Apply the change-of-base formula

— - Solve problems using a logarithmic scale

8. Systems of Equations

— - Solve systems of equations in two variables using graphing, substitution, linear combination.

— - Solve systems of equations in three variables using elimination by addition

9. Basic Formulas of Analytic Geometry

— - Apply basic formulas of Analytic Geometry