Cal Poly dpaquin@calpoly.edu Weekly Homework Submission Instructions 1. The homework assignments and due dates will be posted at least one week in advance on the Math 341 Weekly Homework Assignments page, accessible from PolyLearn and the Course Schedule page. 2. Clearly print your first and last name and the assignment number at the top of the first page of your homework assignment. 3. Leave at least 4 lines of space between problems, and clearly label each problem. Restate the question/problem/statement to be proved. 4. If your homework is written in ink, please write on one side of the page only. 5. Staple your homework pages together. 6. You should work on the weekly homework problems after you’ve mastered the daily homework on the same material. I strongly encourage you to form study groups to work on the daily homework. 7. Although you may discuss the weekly homework problems with other students, I strongly recommend that you write your solutions on your own, without help from fellow students. The weekly homework assignments serve as practice for the in-class quizzes and exams, so it is important that you make sure before the quizzes and exams that you can to the problems by yourself. 8. I will not solve the weekly homework assignments at the board during class discussion of homework problems, but I will provide hints as appropriate. If you are having trouble with one of the weekly homework problems, I encourage you to find and work on a similar problem, and to work through a similar problem with me during office hours. 9. Illegible homework will not earn any credit. 10. No late homework will be accepted, but your lowest homework grade will be dropped in order to allow for exceptional circumstances. 11. Solutions to the weekly homework assignments will be posted in the Weekly Homework Assignments section in PolyLearn. Tips for Good Mathematical Writing 1. Your weekly homework submissions should be clear, neat, and well-written. Communicating mathematics well is an important part of doing mathematics! You should focus not only on solving the problems, but on explaining your solutions carefully, completely, and concisely. You may need to write several drafts of each problem before you are ready to write the final version. You should not expect your first draft to be perfect, and you’ll find that when you review your writing, you’ll see ways to shorten and/or clarify your argument. 2. Your solutions will be graded partly on clarity and conciseness (in addition to correctness). 3. Use complete sentences! Even an equation should have punctuation that helps you see where the equation fits in the larger context. Consider, for example, the following piece of writing: Math 341 1 Weekly Homework Cal Poly dpaquin@calpoly.edu Can you figure out what the writer is doing? What’s being assumed? What’s being proved? Where does one thought end and another begin? What’s the relationship between these phrases? Some phrases are dangling, and others, as statements, are not even true. The reader should not have to figure out what the writer was thinking! Now consider the work of another writer who has attempted the same problem: Here, the writer has clearly stated the problem and described her path to a solution. She has set an invitational tone (e.g.. using the pronoun we rather than I), and every thought is expressed in a complete sentence. Now it is clear that x > 0 is a condition, not a result. Notice the punctuation in equations: one ended with a period because her thought was complete, the other ended with a comma because she wanted to continue the thought. Since she assumed her audience could do algebra, she didn’t bore them with trivial algebraic manipulation, which would only obscure the thread of her arguments. But she did show the most interesting parts: the resulting polynomial and its factoring. And she made sure she answered the original question. Always think about whether or not your solution would make sense to someone else! 4. Avoid shorthand in formal writing. In informal writing, or when you’re pressed for time (such as during an in-class quiz or test), it’s common (and accepted) to use shorthand and symbols such as ∀, ∃, iff, ⇔, etc. In formal writing, however, such shorthand should be avoided. 5. Decide what’s important to say. Writing well does not mean writing more. A well-written solution will present just enough details and highlight the most interesting or unexpected parts of the argument. Step back and simplify! After writing a proof, step back and re-read your proof and ask yourself how you might simplify or clarify your argument. 6. It’s important to acknowledge any support that you received. In compiling this document, I benefited significantly from Francis Su’s tips on good mathematical writing! 7. To become a good mathematical writer, it’s useful to read mathematics! Spend some time reading the textbook and learning the form and style of the example solutions and proofs of theorems. Math 341 2 Weekly Homework