MDE 61 / MTH 161 - Pre-Calculus I

Course Essentials

Handouts

• Combining Algebraic Expressions
• Completing the Square
• Exponents and Roots, and Scientific Notation
• Factoring Methods
• How to Be a Successful Online Learner
• How to Use a Graphing Calculator to Solve a System of Equations
• Logarithms
• Long and Synthetic Division of Polynomials
• Polynomial Fractions
• Procedure for Graphing Polynomial Functions
• Radicals and Fractional Exponents
• Solving Systems of Linear Equations Using Matrices
• Squares, Cubes, and Their Roots
• The Quadratic Formula and the Discriminant
• Tips for Using MyLab Math
• Working with Complex Numbers

Videos

Working with Polynomial equations

• Complex Numbers
• Complete the Square
• Solving Quadratic Functions
• Long Division Polynomials
• Synthetic Division of Polynomials

Linear Inequalities

• Solving and Graphing Inequalities
• Solving Multi-Step Inequalities
• Compound Inequalities

Graphing Equations

• Linear Equations
• Inverse Functions
• Graphing Polynomials
• Graphing Rational Equations

Transformations

• Shifting
• Stretching, Shrink, and Reflecting

 Solving systems of equations

• Solving Systems with Two Variables with Elimination
• Solving Systems with Two Variables with Substitution
• Solving Systems with Three Variables
• Partial Fractions Decomposition
• Solving Systems with Matrices

Conics

• Ellipses
• Hyperbolas
• Parabolas

Sequences and Series

• Arithmetic Sequences
• Geometric Sequences and Series