Class Description

Algebra is one of the chief branches of mathematics. Engineers, scientist, business and industry rely on algebra to help solve problems. Topics studied in Advance Algebra are functions, equations, matrices, quadratic equations, exponentials, logarithmic functions, sequences, series, probability, statistics, and trigonometry. This course is designed for those who want to supplement their previous math work.

Class Expectations

Daily Assignments:

1. Assignments will be given daily.
2. Assignments will be corrected the following day by the student so they can receive immediate feed back on how they are doing,
3. Assignments are always passed in and scored by the teacher and not returned to the student.
4. Credit for the daily work is primarily given for the effort and amount of work shown.
5. Most students average 40 minutes a day on the daily work.

Tests:

1. Tests are given at the end of each chapter.
2. Grades will be determined by the accuracy of answers and the work shown.

Final Grade:

1. The nine weeks grade is determined by having daily work counting 15% and test grades counting 85%.
2. The semester grade is calculated as follows: first nine weeks 40%, second nine weeks 40% and the semester exam (20%).

Class Outline

1. Tools of Algebra
   • Real Numbers
   • Equations
   • Inequalities
2. Functions, Equations, and Graphs
   • Linear Equations
   • Vertical and Horizontal Translations
   • Two-Variable Inequalities
3. Linear Systems
   • Graphing Equations
   • Solving Systems Algebraically
   • Graphs in Three Dimensions
4. Matrices
   • Addition
   • Multiplication
   • Determinants
   • Inverse
5. Quadratic Equations and Functions
   • Modeling Data
   • Parabolas
   • Factoring Quadratic Expressions
   • Quadratic Formula
6. Radical Functions and Rational Expressions
   • Roots and Radical Expressions
   • Binomial Radical Expressions
   • Solving Radical Equations
   • Function Operations
   • Graphing
7. Exponential and Logarithmic Functions
   • Properties
   • Logarithmic Functions
   • Natural Logarithms
8. Rational Functions
   • Inverse Variation
   • Graphs
   • Solving Rational Equations
9. Probability and Statistics
   • Conditional Probability
   • Analyzing Data
   • Binomial Distributions
   • Normal Distributions