College algebra Class Notes

Normally, I will be printing these for you and bringing them to class. If you print the Completed Notes (from Fall 2023), choose Fit or Fit to Printable Area, not Actual Size.

I did make videos for my Notes from the previous book. Hoping I do not confuse you with two versions, I am making those older videos with Class Notes available as they may help. They are located at Math 131 Class Notes (Old). Algebra books are pretty much the same except for the order in which they arrange the topics. Have a look and you may find a video that helps you.

Math 131 Class Notes Sullivan book, 8th edition

Name & Topics

Section of Sullivan book

The Complex Numbers and Quadratic Equations

Completed Notes (from Fall 2023)

1.4

Intercepts and Symmetry

Completed Notes (from Fall 2023)

2.2

Circles

Completed Notes (from Fall 2023)

2.4

Direct, Inverse, and Joint Variation

Completed Notes (from Fall 2024)

2.5

Functions

Completed Notes (from Fall 2023)

3.1

Graphs of Functions

Completed Notes (from Fall 2023)

3.2

Properties of Functions

Completed Notes (from Fall 2023) A typo on page 4 has since been fixed.

3.3

Library of Functions and Piecewise Functions

Completed Notes (from Fall 2023) The order of the last three examples have since been changed.

3.4

Transformations

Completed Notes (from Fall 2023) Example 8 has since been deleted.

3.5

Linear Functions and Models

Completed Notes (from Fall 2023)

4.1

Linear Regression

Completed Notes (from Fall 2023)

4.2

Graphs of Quadratic Functions

Completed Notes (from Spring 2024)

4.3

Building Quadratic Models and Regression

Completed Notes (from Fall 2023)

4.4

Polynomial Functions

Completed Notes (from Fall 2023)

5.1

Polynomial Graphs and Cubic Regression

Completed Notes (from Spring 2024)

5.2

Rational Functions with Vertical, Horizontal, and Oblique Asymptotes

Completed Notes (from Fall 2023)

5.5

Applications of Rational Functions

Completed Notes (from Spring 2024)

5.6

Composition of Functions

Completed Notes (from Fall 2023)

6.1

Inverses and One-to-One Functions

Completed Notes (from Fall 2023) Example 6 has since been removed and example 7 renumbered to 6.

6.2

Exponential Functions

Completed Notes (from Fall 2023)

6.3

Logarithmic Functions and Their Graphs

Completed Notes (from Fall 2023)

6.4

Properties of Logarithms

Completed Notes (from Fall 2023) Example 11 has since been made optional and the "rule" replaced with a different one.

6.5

Solving Exponential and Logarithmic Equations

Completed Notes (from Fall 2023)

6.6

Financial Models

Completed Notes (from Spring 2024)

6.7

Exponential and Logistic Growth and Decay Models; Newton’s Law

Completed Notes (from Spring 2024)

6.8

Exponential, Logarithmic, and Logistic Models from Data

Completed Notes (from Spring 2024)

6.9

Matrices: Solving Systems of Linear Equations in Two or Three Variables

Completed Notes (from Fall 2023)

8.1

Matrices and Systems of Linear Equations

Completed Notes (from Fall 2023)

8.2

Matrices: Determinants

Completed Notes (from Fall 2023)

8.3

Matrices: Matrix Algebra Including Inverses

Completed Notes (from Fall 2023) I made minor changes to example 5 since.

8.4