## Module information

MTH2502/3

### Name

College Algebra (Credit: 2 or 3 hours)

ECTS 4 or 5

### Description

This course gives foundational concepts for the use of mathematics in solving everyday problems when some quantity is unknown. It addresses mathematical expressions and linear and nonlinear equations and inequalities. The course is divided into three units. Unit 1 deals with expressions and includes properties of numbers, dividing by zero, signed numbers, absolute value, exponents, polynomials, factoring, and functions. Unit 2 addresses linear equations and inequalities and gives applications of linear equations, graphing, and linear systems. Unit 3 addresses nonlinear expressions and equations and discusses rational expressions, radical expressions, quadratic equations, exponentials, and logarithms. There are no college-level prerequisites for the course. A scientific calculator is essential, specifically for the last lesson on exponentials and logarithms.

### Course Objectives

Upon completion of this course, you should be able to: 1. Identify and apply general algebraic concepts and properties of numbers. 2. Place positive and negative numbers on the number line and work expressions based on the Order of Operations. 3. Express and compute numbers with exponents, including those used in scientific notation. 4. Perform mathematical operations on polynomials and calculate the numerical values of their coefficients and variables. 5. Separate numbers or expressions into their smallest factors. 6. Recognize terms and various forms associated with mathematical functions, and evaluate simple functions. 7. Solve and graph linear equations, and apply them to real-life situations. 8. Graph solutions to both linear inequalities and linear systems. 9. Perform mathematical operations on rational expressions after establishing their restricted values and lowest common denominators. 10. Demonstrate an understanding of radicals and the rules for combining radical expressions. 11. Evaluate quadratic equations, including those applied to real-life problems, by using the quadratic formula and other solving methods. 12. Recognize and distinguish between exponential and logarithmic forms.

### Mode of Study

Lecture Video (in progress) Student interaction Professor of Record Interaction Hands on

### Assessment

100 objective multiple choice questions Online or pencil and paper Project Collateral Reading Assignment (for 3 (USA) credit courses Student Learning Requirement Passmark 70%