The goal of this text is to help students learn to use calculus
intelligently for solving a wide variety of mathematical and
physical problems. This book is an outgrowth of our teaching of
calculus at Berkeley, and the present edition incorporates many
improvements based on our use of the first edition. We list below
some of the key features of the book. Examples and Exercises The
exercise sets have been carefully constructed to be of maximum use
to the students. With few exceptions we adhere to the following
policies. * The section exercises are graded into three consecutive
groups: (a) The first exercises are routine, modelled almost
exactly on the exam ples; these are intended to give students
confidence. (b) Next come exercises that are still based directly
on the examples and text but which may have variations of wording
or which combine different ideas; these are intended to train
students to think for themselves. (c) The last exercises in each
set are difficult. These are marked with a star (*) and some will
challenge even the best students. Difficult does not necessarily
mean theoretical; often a starred problem is an interesting
application that requires insight into what calculus is really
about. * The exercises come in groups of two and often four similar
ones.
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