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- PreCalculus I
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Chapter 1 - Fundamentals
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Introduction
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1.1 – The Real Numbers – Real Numbers
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1.1 – Homework
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1.1 – Quiz
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1.2 – Exponents and Radicals
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1.2 – Homework
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1.2 – Quiz
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1.3 – Algebraic Expressions – Factoring
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1.3 – Homework
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1.3 – Quiz
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1.4 – Rational Expressions
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1.4 – Homework
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1.4 – Quiz
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1.5 – Equations
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1.5 – Homework
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1.5 – Quiz
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1.6 – Modeling with Equations
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1.6 – Homework
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1.6 – Quiz
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1.7 – Inequalities
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1.7 – Homework
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1.7 – Quiz
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1.8 – Coordinate Geometry
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1.8 – Homework
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1.8 – Quiz
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1.10 – Lines
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1.10 – Homework
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1.10 – Quiz
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Introduction
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Exam 1
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Chapter 2 - Functions
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2.1 – Functions
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2.1 – Homework
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2.1 – Quiz
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2.2 – Graphs of functions
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2.2 – Homework
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2.2 – Quiz
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2.3 – Getting information from the Graph of a Function
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2.3 – Homework
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2.3 – Quiz
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2.5 – Transformations of Functions
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2.5 – Homework
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2.5 – Quiz
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2.6 – Combining Functions
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2.6 – Homework
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2.6 – Quiz
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2.7 – One-to-One Functions
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2.7 – Homework
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2.7 – Quiz
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2.1 – Functions
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Chapter 3 - Polynomial and Rational Functions
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3.1 – Quadratic Functions and Models
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3.1 – Homework
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3.1 – Quiz
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3.2 – Polynomial Functions and their Graphs
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3.2 – Homework
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3.2 – Quiz
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3.3 – Dividing Polynomials
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3.3 – Homework
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3.3 – Quiz
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3.4 – Real Zeros of Polynomials
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3.4 – Homework
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3.4 – Quiz
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3.5 – Complex Numbers
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3.5 – Homework
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3.5 – Quiz
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3.7 – Rational Functions
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3.7 – Homework
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3.7 – Quiz
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3.1 – Quadratic Functions and Models
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Exam 2
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Chapter 4 - Exponential and Logarithmic Functions
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Chapter 10 - Systems of Equations and Inequalities
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10.1 – Systems of Linear Equations in Two Variables
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10.1 – Homework
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10.1 – Quiz
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10.8 – Systems of Nonlinear Equations
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10.8 – Homework
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10.8 – Quiz
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10.9 – Systems of Inequalities
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10.9 – Homework
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10.9 – Quiz
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10.3 – Matrices & Systems of Linear Equations
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10.3 – Homework
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10.3 – Quiz
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10.4 – The Algebra of Matrices
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10.4 – Homework
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10.4 – Quiz
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10.5 – Inverses of Matrices and Matrix Equations
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10.5 – Homework
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10.5 – Quiz
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10.6 – Determinants and Cramer’s Rule
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10.6 – Homework
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10.6 – Quiz
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10.7 – Partial Fraction Decomposition
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10.7 – Homework
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10.7 – Quiz
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10.1 – Systems of Linear Equations in Two Variables
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Chapter 12 - The Binomial Theorem
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Exam 3
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Final Exam
1.7 – Inequalities
Video 1 of 3: Linear Inequalities
Video 2 of 3: Quotient Inequalities
Video 3 of 3: Temperature
Section Notes
Rules for Inequalities
Sign of Product or Quotient
If a product or quotient has an even number of negative factors, then the product is positive.
If a product or quotient has an odd number of negative factors, then the product is negative.
Solving Nonlinear Inequalities
Properties of Absolute Value Inequalities
| Inequality | Equivalent Form | Graph | |
| 1. |  |
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| 2. |  |
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| 3. |  |
 or  |
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| 4. |  |
 or  |
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