Review essential algebra notation and terminology for incoming university mathematics students in this 34-minute video lecture. Explore polynomials, the Binomial theorem, arithmetic and geometric sequences and series, rational functions, and basic power series arithmetic. Gain a solid foundation in algebraic concepts crucial for success in higher-level mathematics courses. The lecture covers topics including different types of polynomials, the Binomial theorem, sequences and series, rational functions, and an introduction to calculus with polynomials. English and Chinese subtitles are available to enhance understanding for a wider audience.