The most important precalculus topics necessary before entering Calculus 1 include a strong understanding of trigonometry, basic geometric facts, analytic geometry, and mastery of algebra. Students must be proficient in finding roots of polynomials and solving linear and quadratic equations. Resources such as Stewart's Calculus textbook, which includes a Diagnostic Exam, are essential for gauging preparedness. Mastery of these topics ensures a solid foundation for success in calculus.
PREREQUISITESThis discussion is beneficial for students preparing for Calculus 1, educators teaching precalculus, and anyone interested in strengthening their foundational math skills.
Ackbach said:Definitely need to know your trig really well. See http://mathhelpboards.com/trigonometry-12/trigonometry-memorize-trigonometry-derive-35.html for some help on that. You need to know basic geometric facts like areas of squares, rectangles, triangles, and trapezoids. You need analytic geometry - so you're very familiar with going between the equation defining a function and its graph. You also need a significant mastery of basic algebra: finding roots of polynomials, solving equations including linear and quadratic. If you look at Stewart's Calculus book, he has a Diagnostic Exam in the beginning that should help you understand very well what the most important things to know are.