Mathematics Review Manual

with a brief

first-year survival guide

for Students Entering McMaster University

2007

Mathematics Review Manual has been published as a book

CALCULUS: FEAR NO MORE

REVIEW AND REFERENCE FOR FIRST YEAR COLLEGE AND UNIVERSITY COURSES

Published in 2010 by Nelson Education (information from the publisher's site). The book will be available at McMaster Bookstore in August 2010 (ISBN-13: 978-0-17-650047-4; ISBN-10: 0-17-650047-2).

 

THE MANUAL (OLDER VERSION FROM 2007) CAN BE DOWNLOADED FROM HERE [You will need Adobe Acrobat or Adobe Reader to read and print pdf files. To download, go to Adobe web site]

 

  

 PARTS OF THE MANUAL CAN BE VIEWED/DOWNLOADED CHAPTER BY CHAPTER FROM LINKS BELOW:

 General Information
  • Why Background Knowledge Matters
  • What's this Review Manual and Survival Guide About?
  • Transition from High School to University
  • How is Math at University Different from High School Math
  • Learning Mathematics
  • Important Little Bits

    • pdf file: rmnarrative.pdf

     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 download pdf file: rmchapter1.pdf
    Chapter 2. Basic Formulas from Geometry download pdf file: rmchapter2.pdf
    Chapter 3. Equations and Inequalities download pdf file: rmchapter3.pdf
    Chapter 4. Elements of Analytic Geometry download pdf file: rmchapter4.pdf

    The material from the three chapters below will be discussed and reviewed in the 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 download pdf file: rmchapter5.pdf
    Chapter 6. Trigonometry download pdf file: rmchapter6.pdf
    Chapter 7. Exponential and Logarithmic Functions download pdf file: rmchapter7.pdf

    The material from the chapter below will be covered in depth in the 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 download pdf file: rmchapter8.pdf
       
    Answers to all Exercises download pdf file: rmanswers.pdf
       

     

     

     

     

    Mathematics Review Manual published by:

    Miroslav Lovric

    Department of Mathematics and Statistics
    McMaster University
    1280 Main St. West
    Hamilton, Ontario, Canada L8S 4K1

    tel.: (905) 525-9140, extension 27362
    e-mail lovric@mcmaster.ca

    © 2003-2010 Miroslav Lovric