# Math 1050 | College Algebra

These lecture videos are organized in an order that corresponds with the book we have used recently for our Math1050 courses. (Precalculus by Larsen, Hostetler; NOTE: what we have labeled as chapter 4, 5 and 6 are chapters 7, 8 and 9 respectively in the book.) 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.**

- 1.1 Coordinates
- 1.2A Graphs of Equations
- 1.2B Applications of Graphs of Equations
- 1.3A Linear Equations
- 1.3B Applications of Linear Equations
- 1.4 Functions
- 1.5-1.7 Graphing and Analyzing Functions
- 1.8-1.9 Composition of Functions & Inverse Functions
- 2.1 Quadratic Functions
- 2.2 Polynomial Functions
- 2.3 Synthetic Division
- 2.4 Complex Numbers
- 2.5 Zeros of Polynomial Functions
- 2.6 Rational Functions
- How to Complete the Square
- Quadratic Formula
- How to Read a Graph
- 3.1 Exponential Functions
- 3.2A Logarithmic Functions (part 1)
- 3.2B Logarithmic Functions (part 2)
- 3.3 Properties of Logarithms
- 3.4 & 3.5 Exponential and Logarithmic Equations
- 4.1 Linear & Nonlinear Systems
- 4.2 Two-Variable Linear System of Equations
- 4.3 Multi-variable Linear System of Equations
- 4.4 Partial Fraction Decomposition
- 4.5 Systems of Inequalities
- 4.6 Linear Programming
- 5.1 Matrices and Systems of Linear Equations
- 5.2A Operations with Matrices (part 1)
- 5.2B Operations with Matrices (part 2)
- 5.3 Inverse of a Square Matrix
- 5.4 Determinant of a Square Matrix
- 5.5 Applications of Matrices
- 6.1 Sequences and Series
- 6.2 Arithmetic Sequences and Series
- 6.3 Geometric Sequences and Series
- 6.5 The Binomial Theorem

## Chapter 1: Functions

## Chapter 2: Polynomial and Rational Functions

## Extras

## Chapter 3: Exponential and Logarithmic Functions

## Chapter 4: System of Equations

*(Note: This corresponds with Chapter 7 in the book we referenced for these videos.)*

## Chapter 5: Matrices

*(Note: This corresponds with Chapter 8 in the book we referenced for these videos.)*

## Chapter 6: Sequences & Series

*(Note: This corresponds with Chapter 9 in the book we referenced for these videos.)*