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College Algebra,
written in a relaxed and conversational style, addresses the
need for a complete and mathematically sound presentation of
algebra at the college level. It is appropriate for a core curriculum
college algebra course, and also contains all the material necessary
to prepare students for more advanced classes such as calculus
and statistics. Many examples drawn from a variety of fields
are featured, and each chapter begins with an overview placing
the mathematical concepts that follow in their cultural and
historical context. Throughout the text, commonly made errors
are clearly identified. The first two chapters provide a quick
but thorough review of algebra fundamentals, including a self-contained
presentation of complex numbers. This is followed by the extension
of algebra to the Cartesian plane; an especially thorough exposition
of relations and functions; a detailed study of polynomial,
rational, logarithmic, and exponential functions; conic sections
and their applications; systems of equations and inequalities;
and an introduction to sequences, series, combinatorics, and
probability. |
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Chapter
1: |
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| Number Systems and Fundamental
Concepts of Algebra |
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| Equations and Inequalities
of One Variable |
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| Linear Equations and Inequalities
of Two Variables |
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| Relations, Functions, and their
Graphs |
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| Polynomial Functions |
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| Rational Functions and Conic
Sections |
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| Exponential and Logarithmic
Functions |
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| Systems of Equations |
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| An Introduction to Sequences,
Series, Combinatorics, and Probability |
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