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MATH 100: Intermediate Algebra

Course Description

Textbook Information

Explorations in College Algebra, Sixth Edition WileyPLUS Student Package 1 Semester, Kime, ISBN: 978-1-119-76572-1 

Common Syllabus

Chapter 1        Introduction to Data and Functions

Section 1: Describing Single-Variable Data

Section 2: Describing Relationships Between Two Variables       

Section 3: An Introduction to Functions      

Section 4: The Language of Functions         

Section 5: Visualizing Functions      

 

Chapter 2        Rates of Change and Linear Functions

Section 1: Average Rates of Change             

Section 2: Change in the Average Rate of Change

Section 3: The Average Rate of Change Is a Slope               

Section 4: Putting a Slant on Data   

Section 5: Linear Functions: When Rates of Change Are Constant          

Section 6: Visualizing Linear Functions       

Section 7: Constructing Graphs and Equations of Linear Functions        

Section 8: Special Cases                     

Section 9: Breaking the Line: Piecewise Linear Functions                             

Section 10: Constructing Linear Models of Data   

Section 11: Looking for Links Between Education and Earnings: A Case Study on Using Regression Lines     

 

Chapter 3        When Lines Meet: Linear Systems

Section 1: Interpreting Intersection Points: Linear and Nonlinear Systems              

Section 2: Visualizing and Solving Linear Systems              

Section 3: Reading Between the Lines: Linear Inequalities           

Section 4: Systems with Piecewise Linear Functions: Tax Plans 

 

Chapter 4        The Laws of Exponents and Logarithms: Measuring the Universe

Section 1: The Numbers of Science: Measuring Time and Space              

Section 2: Positive Integer Exponents          

Section 3: Zero, Negative, and Fractional Exponents         

 

Chapter 8        Quadratics and the Mathematics of Motion (3 weeks)

Section 1: An Introduction to Quadratic Functions: The Standard Form

Section 2: Visualizing Quadratics: The Vertex Form            

Section 3: The Standard Form vs. the Vertex Form              

Section 4: Finding the Horizontal Intercepts: The Factored Form              

Section 5: The Average Rate of Change of a Quadratic Function                

 

Chapter 7 (as time allows) Power Functions

Section 1: The Tension between Surface Area and Volume           

Section 2: Direct Proportionality: Power Functions with Positive Powers              

Section 3: Visualizing Positive Integer Power Functions   

Section 6: Visualizing Negative Integer Power Functions