Introduction to Mathematics

Importance of Math

• Math is essential in everyday life, influencing:
  • Phone technology
  • Aviation
  • Social media algorithms
  • Disease spread analysis
  • Election predictions
  • Gambling odds

The Nature of Math

• Math exists everywhere but isn't a physical object; it is inherent in reality.
• Mathematical laws govern the universe, from atoms to galaxies.
• Mathematical truths are independent of human existence.
  • Example: 1 + 1 = 2 is universally true regardless of human agreement.

Origins of Math

• Math is created by humans; it is not discovered or bestowed.
• Every day, mathematicians globally contribute to expanding mathematical knowledge.

Definition of Math

• Math: The study of questions with definite answers.
  • Distinction from other fields:
    • Other inquiries (e.g., politics, art) may have subjective answers.
    • Science provides highly probable predictions but lacks complete certainty.

Certainty in Math

• Mathematical questions have fixed, inarguable answers:
  • Example: Angle between a radius and tangent line is always 90 degrees.
  • Questions like the existence of prime numbers or the result of multiplying a fraction to get 2 have definite answers.

Role of Mathematicians

• Mathematicians ask questions and create tools to find answers.
• Answers are part of the fabric of reality, often surprising.
  • Example: There are infinitely many kinds of infinity.

Course Objectives

• In this course, we will:
  • Ask questions and create tools for answers.
  • Apply mathematical concepts across various fields: biology, technology, sociology, etc.
  • Explore profound truths about reality.

Who Should Take This Course

• Anyone interested in enhancing their math skills:
  • Students needing class support.
  • Individuals wanting practical math applications (e.g., calculating tips).

Course Structure

• Starting with basic arithmetic and progressing through high school math and most undergraduate topics.
• Flexibility to learn at your own pace.

Conclusion

• Encourage students to engage actively in the learning process. Grab a pencil and start learning!