**What are you going to learn?**

**Content**

Plot points and equations and interpret information using the rectangular coordinate system. (This would include finding equations of lines, parallel lines, and perpendicular lines). Solve linear and rational equations in one variable.Use mathematical equations to model real-life problems. Perform operations with real and complex numbers. Solve quadratic equations by factoring, completing the square, and by the quadratic formula.Solve radical equations, equations with rational exponents, and equations involving absolute value. Use function notation and identify the domain and range. Solve systems of linear equations in two or three variables.Solve systems of inequalities and graph the solutions.

**Chapter 1. Functions and its Graphs. Linear Functions**

Rectangular Coordinate System

Relations and Functions

Linear Functions

Algebra of Functions

Systems of Equations with Two Variables

Applications

Systems of Equations with Three Variables

Elimination Using Matrices

Determinants. Cramer's Rule

Applications

**Chapter 2. Systems of Linear Equations**

**Chapter 3. Inequalities**

Introduction

Intersections, Unions, and Compound Inequalities

Applications

**Chapter 4. Polynomials and Polynomial Functions**

Introduction

Multiplication of Polynomials

Factoring Polynomials

Applications of Polynomial Equations

**Chapter 5. Rational Expressions, Equations, and Functions**

Introduction

Adding / Subtracting with Rational Expessions

Multiplying / Divideing Rational Expessions

Complex Rational Expressions

Rational Equations

Applications

Divison of Polynomials

Synthetic Division and the Remainder Theorem

Applications

**Chapter 6. Exponents and Radicals**

Radical Expessions and Functions

Rational Numbers as Exponents

Multiplying Radical Expressions

Multiplying Radical Expressions

Solving Radical Equations

**Chapter 7. Quadratic Functions and Equations**

Quadratic Equations

Equations Reducible to Quadratic

Quadratic Functions

Transformation of Quadratic Functions

Applications

Polynomial Inequalities and Rational Inequalities

**Chapter 8. Exponential and Logarithmic Functions and Equations**

Composite Functions and Inverse Functions

Exponential Functions

Logarithmic Functions

Common Logarithms and Natural Logarithms

Exponetial and Logarithmic Equations

Applications

**Chapter 9. Conic Sections**

The Circle and the Ellipse

The Hyperbola and Radical Functions

Polar Coordinates

Conics in Polar Coordinates

Nonlinear Systems of Equations

Second Degree Inequalities, Systems of Inequalities

**Chapter 10. Sequences, Series, and the Binomial Theorem**

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

The Binomial Theorem

### Bibliography

Bittinger, M. L. et al.

*Intermediate Algebra-Concepts and Applications*Lial, M. et al.

. 11th Edition. Singapore : Pearson Education South Asia, 2004*Beginning Algebra*Lial, Hornsby, Schneider, Daniels;

. 1st ed.; Pearson.*Beginning and Intermediate Algebra and College Algebra: a Corequisite Solution*

### Webgraphy

https://openstax.org/subjects/mathCollege Algebra (2nd edition) by Jay Abramson (OpenStax.org).