MathReviewManual - With a Brief For Students Entering...

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With a Brief For Students Entering McMaster University Department of Mathematics and Statistics McMaster University 2009
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Published by: Miroslav Lovric Department of Mathematics and Statistics McMaster University 1280 Main St. West Hamilton, Ontario, Canada L8S 4K1 © 2009 Miroslav Lovric
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Mathematics Review Manual With a Brief First-year Survival Guide For Students Entering McMaster University Also available online at www.math.mcmaster.ca/lovric/rm.html written by Miroslav Lovri c Department of Mathematics and Statistics McMaster University Hamilton 2009
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This booklet will help you prepare for your academic life as a first‐year university student, and, in particular, for the first‐year courses in mathematics that you will take.
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i Table of Contents General Information What’s This Manual and Survival Guide About . ................................ iii Why Background Knowledge Matters . ................................................. v Transition from High School to University . ..................................... vii How is Math in University Different from High School Math? . . ix Learning Mathematics . ........................................................................ xiii Important Little Bits . ............................................................................ xv Mathematics You have to know and be proficient in the material from the following four chapters. Very little of it will be reviewed in class. Chapter 1. Basic Algebra . ........................................................................ 1 Chapter 2. Basic Formulas from Geometry . ...................................... 9 Chapter 3. Equations and Inequalities . .............................................. 13 Chapter 4. Elements of Analytic Geometry . .................................... 21 The material from the three chapters below will be taught and discussed in your first-year calculus course. However, you will have to spend extra time working on these areas, to gain technical proficiency and confidence with the material. Chapter 5. Functions . ............................................................................ 30 Chapter 6. Trigonometry . ..................................................................... 41 Chapter 7. Exponential and Logarithmic Functions . ...................... 57
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ii The material from the chapter below will be covered in depth in your first-year calculus course. If you decide to skip something in this manual, then skip this chapter. Chapter 8. Intro to Calculus: Limits and Derivatives . .................. 65 *** Answers to all Exercises . .................................................................... 74 *** This manual is also available online at (free download) www.math.mcmaster.ca/lovric/rm.html
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iii What s this manual and survival guide about? A leap from secondary education to university environment will be, without doubt,
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MathReviewManual - With a Brief For Students Entering...

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