Calculus eBook Makes Learning Calculus Easier
For most of us learning calculus isn’t easy. How many times have you looked up the answer to a problem in the back of the textbook and smacked yourself on the head saying “how did they get that”?
Well those days are over. A new calculus ebook called “Calculus without Limits” approaches the subject in a different way-showing you in detailed step-by-step fashion how to do calculus problems. Discussions of theorems and proofs are avoided in favor of a plain-English approach based on problem solving.
The book is organized to cover most first year college calculus courses. Introductory chapters include limits, derivatives, and the applications of the derivative. Although the book is called “Calculus without Limits”, that’s just a pun, as calculating limits is covered in detail. Solved examples include basic limit computation, one-sided limits, infinite limits and limits at infinity. Limits of trig functions, exponentials, and logarithms is also included.
Two chapters on differentiation are extensive. The first one lays out the basics of computing derivatives like the power rule and derivative of a constant, then its on to the basic rules everyone struggles with, the product rule, the quotient rule, and the chain rule. The next chapter, applications of the derivative, covers standard topics like max-min problems, Rolle’s theorem, and implicit differentiation, along with computing derivatives of the inverse trig and hyperbolic functions.
The second part of the book is primarily devoted to integratin, and this part of the book is really helpful. Each topic is accompanied by a solutions where dozens of integrals are worked out in complete step-by-step detail. The first chapter goes over the basics, teaching you about Reimann sums, basic integration, and integration of trig, exponential, and log functions. Then a really extensive and information-packed chapter shows how to do problems involving u-substitution, integration by parts, trig substitution, partial fractions, and rational functions. There are also chapters on improper integration and integrating powers of trig functions. Each chapter has mutliple examples with detailed problem solutions.
The last chapter covers sequences and infinite series. This includes a clear English explanation of what sequences and infinte series are, along with examples showing how to take limits of sequences. Then all the standard tests for convergence are covered and applied to examples: the root test, the integral test and so on. Power series and Taylor series are also covered.
This calculus ebook is also accompanied by two bonus ebooks. The first one is L’Hopitals rule, a favorite subject of calculus haters. After studying this chapter, they won’t believe how easy calculus really is. Finally there is a very helpful ebok that introduces ordinary differential equations and their solutions.
If you’ve thought calculus is hard or you can’t pass it, you might want to give this calculus ebook a try.
Tags: calculus, ebooks
