Course Description

This course focuses on developing basic mathematical competencies through understanding various number systems, mastering basic operations, solving first-degree equations, and managing sign rules. It covers the application of these operations in resolving greater algebraic problems including those involving exponents and radicals, and extends to solving inequalities, higher power equations, and fractional expressions. The course also emphasizes applying mathematics to solve real-world problems and building functional models to support other disciplines.

What Students Will Learn

  • Handle basic math concepts involving arithmetic, algebra, and an introduction to functions, and understand connections between these areas.
  • Apply learned concepts to real-life situations.
  • Utilize mathematical models and adapted strategies to solve problems.
  • Communicate clearly using mathematical language.
  • Use technology tools effectively in mathematical tasks.

Prerequisites

No prerequisites are required for this course, making it accessible to anyone interested in improving their foundational mathematics skills.

Course Coverage

  • Basics of number systems and operations
  • Sign rules and algebraic operations
  • Solving first-degree equations and basic algebra problems
  • Advanced topics including exponents, radicals, and their applications
  • Solving higher power equations and inequalities
  • Real-world applications and model building

    • Who This Course Is For

    This course is intended for beginners and those looking to strengthen their basic understanding of mathematics. It is suitable for students, professionals, or any individuals seeking to enhance their problem-solving skills through mathematics.

    Real World Application

    Skills acquired from this course can be utilized in everyday problem solving, supporting academic pursuits in science and technology disciplines, enhancing analytical skills in business contexts, and improving quantitative reasoning in personal and professional decision-making processes.

    Syllabus

    Section 1: Arithmetic

    • The set of numbers
    • Exponents
    • Radicals and rational exponents
    • Rationalization

    Section 2: Expressions and Notable Products

    • Algebraic expressions
    • Notable products

    Section 3: Equations and Inequalities

    • Linear equations
    • Quadratic equations
    • Inequalities

    Section 4: Introduction to Functions

    • Definition and characteristics
    • Types of functions
    • Exponential functions