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dana_s_introduction [2013/08/15 10:35]
bmwoodruff 		dana_s_introduction [2013/08/16 00:15] (current)
danaernst Added chapter title to tex file
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 ===== Introduction ===== ===== Introduction =====
  
-FIXME The $\LaTeX$ code below needs to be wiki-ized! +<WRAP prewrap>
 <file tex danas_intro.tex> <file tex danas_intro.tex>
 +\chapter{Introduction}
 \begin{section}{What is Abstract Algebra?} \begin{section}{What is Abstract Algebra?}
  
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 </file> </file>
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 ---- ----
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 +===== Introduction =====
  
 ====What is Abstract Algebra?==== ====What is Abstract Algebra?====
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 Unlike the experience many of you had writing proofs in geometry, our proofs will be written in complete sentences.  You should break sections of a proof into paragraphs and use proper grammar.  There are some pedantic conventions for doing this that I will point out along the way.  Initially, this will be an issue that most students will struggle with, but after a few weeks everyone will get the hang of it. Unlike the experience many of you had writing proofs in geometry, our proofs will be written in complete sentences.  You should break sections of a proof into paragraphs and use proper grammar.  There are some pedantic conventions for doing this that I will point out along the way.  Initially, this will be an issue that most students will struggle with, but after a few weeks everyone will get the hang of it.
  
-Ideally, you should rewrite the statements of theorems before you start the proof.  Moreover, for your sake and mine, you should label the statement with the appropriate number.  I will expect you to indicate where the proof begins by writing ``//Proof.//" at the beginning.  Also, we will conclude our proofs with the standard ``proof box" (i.e., $\square$ or $\blacksquare$), which is typically right-justified.+Ideally, you should rewrite the statements of theorems before you start the proof.  Moreover, for your sake and mine, you should label the statement with the appropriate number.  I will expect you to indicate where the proof begins by writing ``//Proof.//" at the beginning.  Also, we will conclude our proofs with the standard "proof box" (i.e., $\square$ or $\blacksquare$), which is typically right-justified.
  
-Lastly, every time you write a proof, you need to make sure that you are making your assumptions crystal clear.  Sometimes there will be some implicit assumptions that we can omit, but at least in the beginning, you should get in the habit of stating your assumptions up front.  Typically, these statements will start off ``Assume$\ldots$" or ``Let$\ldots$".  +Lastly, every time you write a proof, you need to make sure that you are making your assumptions crystal clear.  Sometimes there will be some implicit assumptions that we can omit, but at least in the beginning, you should get in the habit of stating your assumptions up front.  Typically, these statements will start off "Assume$\ldots$" or "Let$\ldots$".  
  
 This should get you started.  We will discuss more as the semester progresses.  Now, go have fun and kick some butt! This should get you started.  We will discuss more as the semester progresses.  Now, go have fun and kick some butt!
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- +====Tags==== 
-{{tag>intro dana needsreview}}+{{tag>intro dana needsreview }}
dana_s_introduction.1376577357.txt.gz · Last modified: 2013/08/15 10:35 by bmwoodruff

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