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 |
108301
108601
| Page 1 |
Example 1 on the TI-83 and TI-86(85).
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108302
108602
| Page 2 |
This page does Example 2 on the TI-83 and TI-86(85). Also demonstrates the
feature.
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108303
108603
| Page 2 |
This page does Example 3 on the TI-83 and TI-86(85).
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108304
108604
| Page 2 |
This page does Example 4 on the TI-83 and TI-86(85).
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108305
108605
| Page 4 |
This page demonstrates reducing radicals on the TI-83 and TI-86(85).
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108306
108606
| Page 4 |
This page demonstrates prime factorization on the TI-83 and TI-86(85).
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10mt01
| Page 4 |
Small discussion on "rationalizing the denominator or the numerator".
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10ex01
| Page 4 |
Explains the difference between rationalizing a square root versus a
cube root.
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1.1 Real and Complex Numbers
calculator pages |
additional material pages |
further explanations pages |
118301
118601
| Page 10 |
This is a page that explains rational numbers the TI-83 and TI-86.
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108302
118602
| Page 11 |
This is a page that explains irrational numbers the TI-83 and TI-86.
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108303
| Page 16 |
This is a page that demonstrates complex numbers on the TI-83.
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11mt01
| Page 7 |
This is a page that gives additional material for sets.
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11mt02
| Page 10 |
This is a page that gives an alternate approach for Example 3.
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11mt03
| Page 15 |
Further study on Number Theory and Liouville
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11mt04
| Page 15 |
Representing complex numbers as (a,b) vs. a+bi
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1.2 Inequalities and Absolute Value
calculator pages |
additional material pages |
further explanations pages |
128301
128601
128901
| Page 29 |
This is a page that explains and expands on the calculator graphs of the inequality in Example 14.
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128302
128602
128902
| Page 29 |
This is a page that explains and expands on the calculator graphs of the inequality in Example 15.
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128303
128603
128903
| Page 29 |
This is a page that explains and expands on the calculator graphs of the inequality in Example 16.
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12mt01
| Page 23 |
Additional material on "Combined Inequalities".
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12mt02
| Page 30 |
Additional material on "Absolute Value" including a sequence of solved problems.
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12mt03
| Page 32 |
An alternate approach to solving Example 22.
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12ex01
| Page 29 |
This is a page that explains the use of the "solve" function for
the TI-89 as pictured next to Example 15.
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1.3 Relations and Functions
calculator pages |
additional material pages |
further explanations pages |
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13mt01
| Page 42 |
This is a page that give additional material
on relations and graphing equations.
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13mt02
| Page 50 |
This is a page that give additional material
on function notation.
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1.4 Algebra and Composition of Functions
calculator pages |
additional material pages |
further explanations pages |
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1.5 Increasing, Decreasing, Symmetry and Inverse Functions
calculator pages |
additional material pages |
further explanations pages |
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PRECALCULUS: College Algebra and Trigonometry
© 2000 Dennis Bila, James Egan, Roger Palay