MATH 125

I. Course Title: Precalculus I (GE)

II. Course Number: MATH 125

III. Credit Hours: 3 credits

IV. Prerequisites: None

V. Course Description: 

This introductory course is designed to establish the essential mathematical foundation students need for success in degree programs and careers where quantitative reasoning is a key component. The course develops a deep understanding of linear, quadratic, algebraic, exponential, and logarithmic functions, along with their graphical representations. Students will explore real‑world applications including linear models, systems of equations, optimization using quadratic functions, and a variety of career-related applications of the course topics. Throughout the course, students will use various forms of technology to solve applied problems with the emphasis on building practical skills that extend beyond the classroom and into future academic and career pathways.

Note(s): Foundational Mathematics and General Education designated course.  Will not satisfy the requirements for a major in mathematics. Credit for MATH 125 may not be received after receiving credit for a MATH course numbered higher than 125 or for MATH 119 unless required by a degree program.

 

VI. Detailed Description of Content of the Course:

The course will cover the following topics:

1. Algebra review
   1. Order of Operations
   2. Fractions
   3. Exponents
   4. Radicals
   5. Factoring
   6. Rational expressions
2. Functions and their graphs
   1. Domain and range
   2. Operations of functions, including composition
   3. Transformations among graphical, tabular, and symbolic forms of functions
   4. Linear functions, including parallel and perpendicular lines
   5. Absolute value, piecewise functions, and step functions
   6. Polynomials
   7. Rational functions
   8. Algebraic functions
   9. Exponential functions
   10. One-to-one mappings and inverse functions, including logarithmic functions
3. Solving equations and inequalities
4. Solving linear and nonlinear systems
5. Applications of functions
6. Direct and inverse variation
7. Complex numbers and complex roots

 

VII. Detailed Description of Conduct of Course:

Instruction will emphasize real‑world, career‑relevant applications drawn from a variety of fields. Instructors may use various instructional methods, such as lectures or collaborative small‑group activities to deepen understanding and develop problem‑solving skills. Students will use multiple forms of technology both in and out of class to support analysis and explore applied scenarios. In every section, students are expected to complete all assigned homework problems to reinforce concepts, build proficiency, and build their knowledge needed for future careers.

 

VIII. Goals and Objectives of the Course:

Students will develop the basic foundational skills in mathematics needed to advance to courses in mathematics or other disciplines that require these skills.

Students will be able to:

1. Translate information among various mathematical forms (e.g., equations, graphs, diagrams, tables, words).
2. Successfully solve problems using appropriate mathematical tools.
3. Draw appropriate conclusions based on mathematical evidence.

 

IX. Assessment Measures:

Assessment measures will depend on the topic and the instructor. These may include examinations, quizzes, oral presentations, group projects, class participation, or other commonly employed assessments.

 

Review and Approval

August 2020

March 01, 2021

April 23, 2026