Begin a comprehensive review of essential mathematical concepts crucial for college-level physics in this introductory lecture. Explore the fundamentals of working with exponents, including additional exponent rules, and master the art of manipulating fractions. Dive into equation-solving techniques, progressing from basic to more complex problems, and learn to apply the quadratic formula for solving quadratic equations. This foundational knowledge will prepare you for upcoming discussions on proportionality, slope, geometry, and trigonometric functions in subsequent lectures.