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The primary study of mathematics involves Algebra. This is the study of real numbers.
Arithmetic deals directly with these numbers, but Algebra tells us how to represent them symbolically
and then to manipulate the symbols by specific rules to solve problems that could not be approached simply by looking at the numbers directly.
Mathematics for Liberal Arts focuses on non-traditional mathematics.
Topics includes problem solving, sets, logic, financial calculations, probability and statistics, and a scattering of other fun topics!
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End of term
15 Aug 08
7
days |
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| Friday, | 15 Aug 08 | Summer semester ends, 12:00noon |
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Pythagorean Theorem Proof
| Given the right triangle with sides a, b, and hypotenuse c: |
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Make three copies and rotate and arrange them, thus the area of large square is
c2. The sides of the small enclosed square are b − a. |
Move the triangle in the upper right to the lower left to complete the "upright" rectangle on the left.
Move the triangle in the upper left to the lower right to complete the rectangle on the right. Extend the right side of the small square downward.
Now there are two squares with areas a2 and b2 that are formed from the original big square with side c with area c2 |
| Therefore, c2 = a2 + b2 |
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This course is designed to meet the needs of the Adult Degree Program and Distance Education students at Southwestern Adventist University.
The structure has been adapted for the distance education environment from an on-campus course.
The mathematics you will be studying is the same as and the assignments and tests are virtually identical to the grading opportunities students attending classes at Southwestern Adventist University find.
I wish you the best success as you study this material.
May you find this mathematics interesting and enjoyable!
If I can, as a teacher, help you in successfully completing the requirements and earning a great grade, then I am more than happy to work with you towards that end.
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Lawrence E. Turner, Jr., Ph.D.
Professor of Mathematics and Physics
Chair, Mathematics and Physical Sciences Department
Department of Mathematics and Physical Sciences
Southwestern Adventist University
Keene, TX 76059
(817) 202-6708
turner@swau.edu
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© 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008 by Lawrence Turner |