College Algebra MAT1853 Dual Enrollment
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
MyLabMath/eText
— Access Code: 9780073051956
— Cost: $52.47
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:
Tuition and Fees
Tuition Fee: $795.00
PBAU Fee For DE: $60.00
Paid Security Guard Fee for Safety of Students: $25.00
Copying Resource Fee: $10.00
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