Explore essential mathematical concepts in this comprehensive 3.5-hour tutorial covering calculus prerequisites. Master rational expressions, difference quotients, and line equations before delving into trigonometry, including special angles, unit circles, and function properties. Analyze graphs of various trigonometric functions, solve equations, and learn key identities. Progress to function composition, rational equations, and logarithms, understanding their rules and applications. Investigate inverse functions, both general and trigonometric, and tackle polynomial inequalities. Conclude with an introduction to summation notation, preparing you for advanced calculus topics.