## About Course

Course Description: This course is designed to introduce students to the fundamental principles and concepts of algebra. Students will learn how to manipulate equations and inequalities, simplify expressions, and solve linear and quadratic equations. The course will cover topics such as functions, graphing, and systems of equations.

Course Objectives:

- To understand the basic principles and concepts of algebra
- To develop problem-solving skills through a variety of exercises and real-world applications
- To apply algebraic principles to solve problems in other disciplines such as physics and engineering
- To prepare students for more advanced studies in mathematics and sciences

Course Outline:

I. Introduction to Algebra

- Overview of algebra and its relevance to real-world applications
- Basic algebraic operations, such as addition, subtraction, multiplication, and division

II. Equations and Inequalities

- Solving equations and inequalities
- Graphing linear equations and inequalities

III. Functions and Graphing

- Introduction to functions
- Graphing linear and quadratic functions

IV. Systems of Equations

- Solving systems of equations by substitution and elimination
- Graphing systems of equations

V. Polynomials and Factoring

- Adding, subtracting, multiplying, and dividing polynomials
- Factoring quadratic expressions

VI. Rational Expressions and Equations

- Simplifying and solving rational expressions and equations
- Graphing rational functions

VII. Exponential and Radical Functions

- Introduction to exponential and logarithmic functions
- Simplifying and solving radical expressions and equations

VIII. Applications of Algebra

- Real-world examples of algebraic concepts, such as modeling and optimization problems
- Algebraic principles in physics, engineering, and finance

Assessment and Grading: Assessment will be based on homework assignments, quizzes, and exams. Homework assignments will be given regularly to help students practice and reinforce concepts learned in class. Quizzes will be given to assess understanding of key concepts, while exams will be used to evaluate overall performance. The final grade will be based on a combination of all assessments, with the weight of each assessment determined by the instructor.