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Mathematics 31

Topics in Algebra

Homework

Mathematics 31

Topics in Algebra

Homework

There will be three types of homework in this class: reading, practice problems, and written problems. All found HERE.

Reading: You paid for the textbook, you should read it. Reading is no less important in a math class than any other class. Ideally you would read each section before it is covered in class and then once again before you attempt that section's homework assignment. Reading before class gives you an idea of what will be covered, familiarizes you with the terms, and lets you know which theorems, definitions, examples, etc. are in the text (so you can listen when they are covered in class, instead of frantically scribbling them down in your notes.) The textbook was written for a student to, more or less, read it from beginning to end, not to be flipped through looking for the theorem or definition you need to solve a particular homework problem.

Practice: These problems should be mostly straight-forward. They are meant to help you with calculations, see more examples of structures, and see how different theorems can be applied to get various results. Most of these problems will require little work to be shown, but since some of the problems have answers in the back you will need to show some work, and it will need to be neat.

Reading: You paid for the textbook, you should read it. Reading is no less important in a math class than any other class. Ideally you would read each section before it is covered in class and then once again before you attempt that section's homework assignment. Reading before class gives you an idea of what will be covered, familiarizes you with the terms, and lets you know which theorems, definitions, examples, etc. are in the text (so you can listen when they are covered in class, instead of frantically scribbling them down in your notes.) The textbook was written for a student to, more or less, read it from beginning to end, not to be flipped through looking for the theorem or definition you need to solve a particular homework problem.

Practice: These problems should be mostly straight-forward. They are meant to help you with calculations, see more examples of structures, and see how different theorems can be applied to get various results. Most of these problems will require little work to be shown, but since some of the problems have answers in the back you will need to show some work, and it will need to be neat.

Written:
These problems are more complicated. They will require more thought
and explanation. Your solutions should be clearly presented. This may
require some scratch work, brainstorming, and rough drafts before the
final write-up. Don't be afraid to use words in your solution. If you
can't easily read through your solution, like a paper in any other
class, you should try again.

You are encouraged to work with your classmates on homework assignments. However, anything you write down to turn in should be your own thoughts in your own words. So, take a few notes on the problem while you're working with the group, then use those notes while you're alone to write-up your final solution. Include the names of the students you worked with.

Other Rules For Homework:

In general just remember that I am only one person, grading all of your homework. That's quite a bit of work, and I want to do it well. The happier I am when I'm grading, the happier you will be when you get your papers back. Papers that don't meet the above guidlines... they don't make me happy.

You are encouraged to work with your classmates on homework assignments. However, anything you write down to turn in should be your own thoughts in your own words. So, take a few notes on the problem while you're working with the group, then use those notes while you're alone to write-up your final solution. Include the names of the students you worked with.

Other Rules For Homework:

- Include your name: first and last.
- Write neatly. If I can't read it, I can't give you credit.
- Use 8 1/2" by 11" paper without "tear-out fringe." If there is more than one page, which there probably should be, staple.
- Write up the problems in the order they were assigned.
- Proof read! If your sentences, made of words or mathematical symbols, don't make sense, the math behind them probably doesn't either.

In general just remember that I am only one person, grading all of your homework. That's quite a bit of work, and I want to do it well. The happier I am when I'm grading, the happier you will be when you get your papers back. Papers that don't meet the above guidlines... they don't make me happy.

Homework Assignments

Date | Reading | Practice | Written | DUE |
---|---|---|---|---|

9/24 | Webpage | Survey | 9/26 | |

9/24 | Chapter 1 | 1 - 3, 13 | 6 - 12 | 10/1 |

9/26 | Chapter 0 pg 3-9 (Problems 1-3, don't turn in) Chapter 2 | 1, 4, 5, 13, 22 | 8, 14, 16, 17, 35 | 10/1 |

9/29 | Chapter 3 | 1, 11, 17, 21, 22 | 10, 13, 20 | 10/8 |

10/1 | Chapter 4 | 7, 9, 14, 34 | 11, 20, 22, 24, 35, 62 | 10/8 |

10/3 | Chapter 5 Pages 94 - 101 | 3, 4, 5, 18 | 10 | 10/8 |

10/6 | Chapter 5 Pages 101 - 105 | 9, 11, 14, 20, 30 | 13, 19 | 10/15 |

10/8 | Chapter 6 | 1, 7, 29 | 6, 17, 24, 36 | 10/15 |

10/13 | Chapter 7 Pages 137 -142 | 1-4, 12, 14, 17 | 15, 16, 23, 30, 38 | 10/22 |

10/15 | Chapter 7 Page 143 | |||

10/17 | Chapter 9 | 11, 14, 17, 18, 20 | 2, 6, 27, 37 | 10/22 |

10/20 | Chapter 8 | 23, 24, 25, 40, 41 | 6, 7, 14, 15, 30 | 10/29 |

10/22 | Chapter 10 | 5, 15 | 10, 11, 12, 24, 38 | 10/29 |

10/24 | Chapter 11 | 1, 2, 3, 4, 13 | 6, 15, 19, 21, 22 | 10/29 |

11/3 | Chapter 12 | 3, 4 | 9, 15, 19 | 11/12 |

11/5 | Chapter 13 | 2, 4, 11, 18 | 3, 23 | 11/12 |

11/10 | Chapter 14 | 4, 6, 31 | 16, 18, 25, 49 | 11/19 |

11/17 | Chapter 15 | 5, 6, 13 | 10, 24, 30, 57 | 11/25 |

11/19 | Chapter 16 | 1, 12, 23 | 4, 8, 18 | 11/25 |

11/24 | Chapter 17 Field Theory Notes | 7, 8, 23 | 10, 11, 12 | 12/3 |