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 .10th Edition. Boston : Pearson, 2018.

• Lial, M. et al. Beginning Algebra. 11th Edition. Singapore : Pearson Education South Asia, 2004

• Lial, Hornsby, Schneider, Daniels; Beginning and Intermediate Algebra and College Algebra: a Corequisite Solution. 1st ed.; Pearson.

Webgraphy

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