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This is a textbook for the third semester of calculus. The major
topics are multiple integrals in rectangular, polar, cylindrical
and spherical coordinates and vector calculus including vector
fields, line integrals and the theorems of Green, Stokes and Gauss
(divergence). The text has explanations, examples, worked
solutions, problem sets and answers. It has been reviewed by
calculus instructors and class-tested by them and the author.
Topics are typically introduced by way of applications, and the
text contains the usual theorems and techniques of a third semester
of calculus. Besides technique practice and applications of the
techniques, the examples and problem sets are also designed to help
students develop a visual and conceptual understanding of the main
ideas of calculus. The exposition and problem sets have been highly
rated by reviewers
This is a textbook for the second semester of calculus. The major
topics are applications of integrals, methods of integration, the
inverse trigonometric functions, elementary differential equations,
calculus with polar coordinate functions and functions given by
parametric equations, sequences and infinite series. The text has
explanations, examples, worked solutions, problem sets and answers.
It has been reviewed by calculus instructors and class-tested by
them and the author. Topics are typically introduced by way of
applications, and the text contains the usual theorems and
techniques of a second semester of calculus. Besides technique
practice and applications of the techniques, the examples and
problem sets are also designed to help students develop a visual
and conceptual understanding of the main ideas of calculus. The
exposition and problem sets have been highly rated by reviewers.
This is a textbook for the first semester of calculus. It covers
differential calculus and the beginning of integral calculus with
explanations, examples, worked solutions, problem sets and answers.
It has been reviewed by calculus instructors and class-tested by
them and the author. Topics are typically introduced by way of
applications, and the text contains the usual theorems and
techniques of a first semester of calculus. Besides technique
practice and applications of the techniques, the examples and
problem sets are also designed to help students develop a visual
and conceptual understanding of the main ideas of calculus. The
exposition and problem sets have been highly rated by reviewers.
This is a textbook for 4th quarter calculus covering the Vectors,
Vector-Valued Functions, Functions of Several Variables, and Double
Integrals. It has explanations, examples, worked solutions, problem
sets and answers. It has been reviewed by calculus instructors and
class-tested by them and the author. Besides technique practice and
applications of the techniques, the examples and problem sets are
also designed to help students develop a visual and conceptual
understanding of the main ideas. The exposition and problem sets
have been highly rated by reviewers.
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