Submitted by: Submitted by hypocrixy
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Category: Other Topics
Date Submitted: 05/05/2014 02:42 PM
Introduction
This review package covers the MATH 136 course notes written by Dan Wolczuk. The Wolczuk notes are very well written, and I do not intend to replicate them. Instead, this review package will summarize important details and provide extra examples to give you more practice. It is best to use this package in conjunction with the Wolczuk notes and your assignments. The first two sections of this package is the material from the midterm review package. The material covered after the midterm begins on page 13. Generally speaking, there are two types of problems encountered in MATH 136: 1. Calculation questions 2. Proof questions Calculation questions should be nothing new to math students. The main difficulty in these questions is working through them quickly on a test without making algebraic mistakes. As long as you review and understand the process behind the calculations, the rest is just crunching numbers. Proof questions can be new to some students. They are generally perceived to be more difficult because there is usually no immediate way to do proofs (cannot just “plug numbers into a formula”). Proofs require creative thinking, and a strong understanding of all relevant definitions and theorems. You have plenty of practice with typical questions from your assignments and course notes, so I have tried to include examples that you do not typically see. The examples I cover during the review session do not appear in this package because I want to give you many available problems to look at. Feel free to email me with any questions you have about the course or this review package. Good luck! Tai Cai, 4A Actuarial Science/Statistics t3cai@uwaterloo.ca
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1. Vectors in Euclidean Space
1.1 In this chapter we are working in , which is a generalization of were typically written as horizontal vectors: , . The vectors in column vectors: . In high school, vectors in ...