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  A L A TEXSample John DoeMagic Department, Worcester Polytechnic InstituteJane Doe, L A TEX AcademyNovember 8, 2012  Contents 1 Intro 3 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2 Small Chapter 63 Matrices and Arrays 7 3.1 matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73.2 Arrays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4 More 9 4.1 MATLAB code . . . . . . . . . . . . . . . . . . . . . . . . . . 94.2 Include images . . . . . . . . . . . . . . . . . . . . . . . . . . 12 5 New Commands 136 Bibliographies: BibTex 15 1  List of Figures 4.1 A Geometric Brownian Motion with  n  = 100 and  T   = 4, S  0  = 400,  α  = 0 . 02,  σ  = 0 . 02. . . . . . . . . . . . . . . . . . . 122  Chapter 1Intro 1.1 Introduction How do we get these symbols $ , # , , %, { , } Exercise 3.1  How did I bold the Example name?(a) Why did the enumeration start with (a) and not 1.?(b) When we reference mathematical variables we need to encapsulate themin in-line math mode, i.e.  u ( T  ) and  d ( T  ) for  T   = 3 , 4 , 5 , 6.(c) Let’s start off easy and write some greek letters.  α,β,γ, Γ ,ξ,ζ,ω,κ, Ω,∆ ,δ,ε, . Notice we have capitals by capitalizing the first letter of thecommand. We also have different styles of the same letters. Notice thedifference between “epsilon” and “varepsilon”.(d) Often one needs to define the reals, naturals, etc. We do this by usingthe mathbb command.  R , N , etc.(e) What if we want to refer to the set of Riemann integrable functions? Weuse mathcal.  R ( R ).(f) Suppose we want to use set notation we need to use the command forcurly braces. F   = {∅ , Ω , { H  } , { T  }}  (1.1)(g) Fractions use the “frac” command with two entries.3

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