Mr. Ryan said:I need to become very familiar with Calculus over this summer
DrewD said:I think it is important to ask why you need to become familiar and how familiar is very.
DrewD said:I think it is important to ask why you need to become familiar and how familiar is very. If you are only interested in applications to physics and engineering etc. you will probably want to take a much different route than you would if you are starting a B.S. in Mathematics in the fall and want to get a head start.
A good calculus self-teaching book should cover topics such as limits, derivatives, integrals, and applications of calculus in real-life problems. It should also include a thorough understanding of the fundamental concepts and their applications.
While it is not mandatory, having a strong foundation in algebra and precalculus can make understanding calculus concepts easier. It is recommended to have a basic understanding of these subjects before delving into calculus.
Many calculus self-teaching books include interactive exercises and practice problems to help reinforce the concepts learned. These exercises can also provide an opportunity to apply the concepts to real-world problems.
A calculus self-teaching book can be a helpful supplement to a traditional classroom course, but it may not be sufficient to fully replace it. Classroom courses provide a structured learning environment and the opportunity for interaction with an instructor and peers, which may be beneficial for some learners.
Some popular calculus self-teaching books for beginners include "Calculus Made Easy" by Silvanus P. Thompson, "Calculus Essentials For Dummies" by Mark Ryan, and "Calculus: Early Transcendentals" by James Stewart. It is important to choose a book that aligns with your learning style and level of understanding.