Kevin Milans : Teaching : Spring 2015 Math773

Homework

General Guidelines and Advice

• All solutions require justification. When a formula is requested, it is not enough to provide the correct formula; you must also prove that your formula is correct.
• You may work on these problems with others in class, but the written solutions must be your own and you must understand everything you write under your own name.
• Use of the course texts is permitted. Use of other, external sources (such as the internet, research articles, and other texts) is permitted as a last resort. You must cite all external sources used.
• Proofs must use complete sentences and proper punctuation, and they must be unambiguous. (If you, the author, do not completely understand every sentence and claim in your proof, then I won't either.)
• After finishing the first draft of your proof, read it back to yourself. Does it say exactly what you mean to say?
• Play with small examples to build your intuition; small examples are also great for checking whether a solution is potentially correct. Don't get discouraged if you have some difficulty solving these problems: the struggle is a necessary evil.
• If you would like to typeset your homework in LaTeX (highly recommended), you can add our solutions directly to the homework assignment source code (provided below). In addition to standard packages and tikz/pgf, you will need these home-grown style files: jeffe.sty, handout.sty, and kgm.sty.