M1410P01 - MATH 141: PRECALCULUS A COMPANION TO PRECALCULUS...

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MATH 141: PRECALCULUS A COMPANION TO PRECALCULUS BY LARSON / HOSTETLER ( 7 TH EDITION ) KEN KUNIYUKI SAN DIEGO MESA COLLEGE
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CONTACT INFORMATION Ken Kuniyuki: Email address: kkuniyuk@yahoo.com Website: http://www.kkuniyuk.com (various course notes and exams are available) Feel free to send emails with suggestions, improvements, tricks, etc.! I welcome them! LICENSING This work may be freely copied and distributed without permission under the specifications of the Creative Commons License. PARTIAL BIBLIOGRAPHY / SOURCES Algebra: Blitzer, Lial, Tussy and Gustafson Precalculus: Larson and Stewart Calculus: Larson, Stewart, and Swokowski Complex Variables: Churchill and Brown, Schaum’s Outlines Discrete Math: Rosen Harper Collins Dictionary of Mathematics Wikipedia People: Larry Foster, Laleh Howard, Terrie Teegarden, Tom Teegarden (especially for the Frame Method for graphing trig functions), and many more.
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TABLE OF CONTENTS Preliminaries: Logic and Basic Algebra (Appendix A) Chapter 1: Functions and Their Graphs Chapter 2: Polynomial and Rational Functions Chapter 3: Exponential and Logarithmic Functions Chapter 4: Trigonometry Chapter 5: Analytic Trigonometry Chapter 6: Additional Topics in Trigonometry Chapter 7: Systems of Equations and Inequalities Chapter 8: Matrices and Determinants Chapter 9: Discrete Math Chapter 10: Conics and Polar Coordinates. COLOR CODING Notes in red: Warnings! Notes in green: Technical and historical notes, applications in Calculus, etc. Notes in blue: References to the textbook (which may change with different editions), other parts of this work, my web site, etc.; and information specific to San Diego Mesa College and / or my class. Colors may be used in figures without those interpretations. TECHNOLOGY USED This work was produced on an eMac with Microsoft Word, MathType, Adobe Illustrator, Adobe Acrobat, and Mathematica and Calculus WIZ.
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(Preliminaries: Logic) P.01 PRELIMINARY TOPIC: LOGIC “Logic is the science of the necessary laws of thought.” – Immanuel Kant, philosopher “Logic is the anatomy of thought.” – John Locke, philosopher. Why bother? Although logic is a subject that is often relegated to Discrete Math courses (such as Math 245 at Mesa ) and courses in computer science and electrical engineering, its fundamentals are essential for clear and precise mathematical thought. PART A: PROPOSITIONS AND “IF-THEN” STATEMENTS While thinking about your Precalculus class, you consider the following (true!) statement: If I get an A, then I pass.” This statement is of the form “ If p , then q ,” where: p is the proposition “I get an A,” and q is the proposition “I pass.” A proposition is a statement that is either true or false. p is called the hypothesis; it is an assumption or a condition . q is called the conclusion.
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This note was uploaded on 09/08/2011 for the course MATH 141 taught by Professor Staff during the Fall '11 term at Mesa CC.

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M1410P01 - MATH 141: PRECALCULUS A COMPANION TO PRECALCULUS...

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