Chapter ONE: ALGEBRA OF NUMBERS AND FUNCTIONS

Welcome to the main web page for Chapter ONE of PRECALCULUS: College Algebra and Trigonometry. Use this page to move to the desired pointers within the chapter.

The chapter is divided into the following sections:
1.0  Review of Algebraic Expressions
1.1  Real and Complex Numbers
1.2  Inequalities and Absolute Value
1.3  Relations and Functions
1.4  Algebra and Composition of Functions
1.5  Increasing, Decreasing, Symmetry and Inverse Functions

In the textbook there are icons directing you to various support pages. The icon is used to reference pages that demonstrate aspects of using the TI graphing calculators. The icon is used to reference extra material on a topic. And the icon is used to reference further explanations of some point in the text. Below each icon in the text there is a sequenced name for the specific web page being referenced. Those icons and sequenced names are listed below as hyperlinks to the desired pages.


1.0  Review of Algebraic Expressions

calculator pages additional material pages further explanations pages

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Example 1 on the TI-83 and TI-86(85).

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This page does Example 2 on the TI-83 and TI-86(85). Also demonstrates the feature.

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This page does Example 3 on the TI-83 and TI-86(85).

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This page does Example 4 on the TI-83 and TI-86(85).

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This page demonstrates reducing radicals on the TI-83 and TI-86(85).

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This page demonstrates prime factorization on the TI-83 and TI-86(85).

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Small discussion on "rationalizing the denominator or the numerator".

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Explains the difference between rationalizing a square root versus a cube root.


1.1  Real and Complex Numbers

calculator pages additional material pages further explanations pages

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This is a page that explains rational numbers the TI-83 and TI-86.

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This is a page that explains irrational numbers the TI-83 and TI-86.

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This is a page that demonstrates complex numbers on the TI-83.

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This is a page that gives additional material for sets.

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This is a page that gives an alternate approach for Example 3.

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Further study on Number Theory and Liouville

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Representing complex numbers as (a,b) vs. a+bi
 


1.2  Inequalities and Absolute Value

calculator pages additional material pages further explanations pages

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This is a page that explains and expands on the calculator graphs of the inequality in Example 14.

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This is a page that explains and expands on the calculator graphs of the inequality in Example 15.

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This is a page that explains and expands on the calculator graphs of the inequality in Example 16.

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Additional material on "Combined Inequalities".

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Additional material on "Absolute Value" including a sequence of solved problems.

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An alternate approach to solving Example 22.

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This is a page that explains the use of the "solve" function for the TI-89 as pictured next to Example 15.


1.3  Relations and Functions

calculator pages additional material pages further explanations pages
 

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This is a page that give additional material on relations and graphing equations.

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This is a page that give additional material on function notation.
 


1.4  Algebra and Composition of Functions

calculator pages additional material pages further explanations pages
     


1.5  Increasing, Decreasing, Symmetry and Inverse Functions

calculator pages additional material pages further explanations pages
     


PRECALCULUS: College Algebra and Trigonometry
© 2000 Dennis Bila, James Egan, Roger Palay