Schaum's Outline of Theory and Problems of Beginning Calculus Second Edition

 Schaum's Outline of Theory and Problems of Beginning Calculus Second Edition

  This Outline is limited to the essentials of calculus. It carefully develops,  giving all steps,  the principles of differentiation and integration on which the whole of calculus is built. The book is suitable for reviewing the subject, or as a self-contained text for an elementary calculus course. The author has found that many of the difficulties students encounter in calculus are due to weakness in algebra and arithmetical computation, emphasis  has been placed on reviewing algebraic and arithmetical techniques whenever they are used. Every effort has been made—especially in regard to the composition of the solved problems— to ease the beginner's entry into calculus. There are also some 1500 supplementary problems (with a complete  set of answers at the end of the book). 

High school courses in calculus can readily use this Outline. Many  of the problems are adopted from questions that have appeared in the Advanced Placement Examination in Calculus, so that students will automatically receive preparation for that test.

The Second Edition has been improved by the following changes: 

1. A large number of problems have been added to  take advantage of the availability of graphing calculators. Such problems are preceded by the  notation 

2. Treatment of several topics have been expanded: 

(a) Newton's Method is now the subject of a separate  section. The availability of calculators makes it much easier to work out concrete problems by this method. 

(b ) More attention and more problems are devoted to  approximation techniques  for integration, such as the trapezoidal rule, Simpson's rule, and the midpoint rule. 

(c) The chain rule now has a complete  proof outlined in an exercise.

 3. The exposition has been streamlined in many places and a substantial number of new problems have been added.

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