For many students,
calculus can be the most mystifying and frustrating course they will
ever take. The Calculus Lifesaver provides students with the essential
tools they need not only to learn calculus, but to excel at it.
All of the material in
this user-friendly study guide has been proven to get results. The book
arose from Adrian Banner's popular calculus review course at Princeton
University, which he developed especially for students who are motivated
to earn A's but get only average grades on exams. The complete course
will be available for free on the Web in a series of videotaped
lectures. This study guide works as a supplement to any single-variable
calculus course or textbook.
Coupled with a selection of exercises, the
book can also be used as a textbook in its own right. The style is
informal, non-intimidating, and even entertaining, without sacrificing
comprehensiveness. The author elaborates standard course material with
scores of detailed examples that treat the reader to an "inner
monologue"--the train of thought students should be following in order
to solve the problem--providing the necessary reasoning as well as the
solution. The book's emphasis is on building problem-solving skills.
Examples range from easy to difficult and illustrate the in-depth
presentation of theory.
The Calculus Lifesaver
combines ease of use and readability with the depth of content and
mathematical rigor of the best calculus textbooks. It is an
indispensable volume for any student seeking to master calculus.
Serves as a companion
to any single-variable calculus textbook
and not intimidating
Informative videos that
follow the book--a full forty-eight hours of Banner's Princeton
calculus-review course--is available at Adrian Banner lectures
More than 475 examples
(ranging from easy to hard) provide step-by-step reasoning
Theorems and methods
justified and connections made to actual practice
Difficult topics such
as improper integrals and infinite series covered in detail
Tried and tested by
students taking freshman calculus