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040907-132-clab1 - CHEMICAL ENGINEERING 132A Professor Todd...

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C HEMICAL E NGINEERING 132A Professor Todd Squires Spring Quarter, 2007 Computer Lab Assignment 1 Introduction to Mathematica Mathematica can be extremely helpful in doing mathematics for engineering. The following is a very brief tutorial designed to help you start to learn to use it. One of the key advantages to Mathematica is that it does mathematics symbolically – that is, it can keep track of functions, rather than just numbers. We’ll start with a simple cosine function f ( x ) = cos x ; enter it into Mathematica using f[x_] = Cos[x] To make Mathematica compute this, press Shift-Enter after entering it. It will respond with Out[1]= Cos[x]. Mathematica ‘remembers’ this entry as “Out[1]”; you can recover it by typing Out[1] and it will respond with Out[2] = Cos[x]. If you do 3 x Out[1] it will respond Out[3] = 3 x Cos[x] and so on. Several things to note: 1) in Mathematica, the names of all of the functions you will need are capitalized. Some examples include Cos[x], Sin[x], Tan[x], Cot[x], Exp[x], Log[x]. 2) Notice also that the argument of the function ( x ) is in square brackets, not normal parenthesis. Mathematica requires this. 3) Multiplication (
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