General Mathematics

Course Description:

This course gives students a solid foundation in mathematical topics required for higher education and practical applications. The course covers basic algebraic operations, equations, and inequalities, graphing tools, functions, linear equation systems, matrices, and the Gauss-Jordan method for solving linear systems. The emphasis is on improving problem-solving abilities, logical thinking, and the capacity to apply mathematical ideas in real-world situations.

Course Objectives:

By the end of this course, students should be able to:

1. Understand and apply basic algebraic operations, including exponents, radicals, and polynomials.
2. Solve linear and quadratic equations and inequalities, including absolute value and complex numbers.
3. Interpret and construct graphs, including lines, slopes, and coordinate geometry.
4. Define and evaluate functions, including composition and types of functions.
5. Solve systems of linear equations using graphical, substitution, and elimination methods.
6. Perform matrix operations (addition, subtraction, multiplication) and apply them to solve systems.
7. Use the Gauss-Jordan elimination method to solve linear systems.
8. Develop critical thinking and problem-solving skills through mathematical applications.

Required Materials:

• Textbooks:
  • Barnett, Ziegler, & Byleen. Pre-calculus, Custom Edition, McGraw-Hill.
  • Bittinger, Beecher, Ellenbogen, & Penna. College Algebra: Graphs and Models (2nd Ed.). Addison Wesley.
  • Larson, R. E., & Hostetler, R. P. Algebra and Trigonometry (6th Ed.). Houghton Mifflin.
• Calculator (scientific)
• Notebook and graph paper