# MATH 1050 | College Algebra

These lecture videos are organized in an order that corresponds with the OER book we will be using for our Math 1050 courses. We have numbered the videos for quick reference so it's reasonably obvious that each subsequent video presumes knowledge of the previous videos' material. Along with the video lecture for each topic, we have included the "pre-notes" and "post-notes" which are the notes of the lecture before we did the problems and after we worked everything out during the lecture, respectively. You may want to download the notes to use as a reference while watching the lecture video, or for later reference.If you find an error in the lecture or a problem with the video, or if you would like to give feedback to us about these lectures, please email rebecca@math.utah.edu to do so.

**NOTE: These videos were not recorded in stereo sound. If you are listening to these videos on headphones, you may want to consider setting your sound channels to come through both sides. This document will give you an idea of how to accomplish that.**

- 1 Introduction to Functions

- 2 Graphs of Functions

- 3A Transformations of Functions (part 1)
- 3B Transformations of Functions (part 2)

- 4 Combinations of Functions

- 5 Inverses of Functions

- 6A Quadratic Functions (part 1)
- 6B
Quadratic Functions (part 2)

- 6.5 Supplemental Quadratic Resources

- 7A Graphs of Polynomials (part 1)
- 7B Graphs of Polynomials (part 2)

- 8 Using Synthetic Division to Factor Polynomials

- 9 Real Zeros of Polynomials

- 10 Complex Zeros of Polynomials

- 11 Polynomial Inequalities

- 12 Introduction to Rational Functions

- 13 Graphing Rational Functions

- 14 Graphs with Holes and Variations on Asymptotes

- 15A Solving Rational Equations and Inequalities (part 1)
- 15B Solving Rational Equations and Inequalities (part 2)

- 16 Introduction to Exponentials and Logarithms

- 17 Properties of Logarithms

- 18 Exponential Equations and Functions

- 19 Logarithmic Equations and Functions

- 20 Applications of Exponentials and Logarithms

- 21 Systems of Linear and Nonlinear Equations

- 22 Systems of Linear Equations and Applications

- 23 Systems of Linear Equations: Augmented Matrices

- 24A Matrix Arithmetic (part 1)
- 24B
Matrix Arithmetic (part 2)

- 25 Systems of Linear Equations: Matrix Inverses

- 26 Systems of Linear Equations: Determinants

- 27 Partial Fractions

- 28A Sequences (part 1)
- 28B Sequences (part 2)

- 29A Series (part 1)
- 29B Series (part 2)

- 30 Binomial Expansion