Home Page | Math Resources | Math 118 | Math 313 | Links
The final exams are graded and the course grades are completed. I posted them at grades.html.
Have a good break and happy holidays.
Here is the final exam and my solutions.
| Final | ps | dvi | tex | |
| answers | ps | dvi | tex |
An extra class will be held on Friday, December 14 from 12:00-2:00pm in room P124 in the Physics building. Bring questions! I expect that questions about the practice problems will steer the class, so I urge you to work hard on those problems before Friday.
Here are some problems that I think are good practice for the final exam. Also, this webpage can serve as a sort of chronology of the course and may be helpful as you study: all the homeworks are here with many solutions, the midterm and practice midterm are here with solutions.
| Practice problems | ps | dvi | tex |
Of course, your final exam, which is on Thursday, December 20 from 11:30-1:00 in the usual classroom will be much shorter than this collection of practice problems.
Turn these in on Tuesday, December 4.
Work hard. Study everything! Read chapters 9 and 10. Prepare to present solutions to problems from the past. I recommend that you understand all the definitions clearly and study the problems below:
Here are my solutions to homework 7:
| Homework 7 | ps | dvi | tex | |
| Solutions | ps | dvi | tex |
Remember, there was a minor correction to problem 4.
Here are some problems for the weekend:
| Homework 7 | ps | dvi | tex |
Turn these problems in on Tuesday, November 13.
In problem 4, phi is a group homomorphism from the group of real numbers under addition to the group of nonzero complex numbers under multiplication.
The due date for homework 6 has been extended until Thursday, November first. I encourage you to use the extra time to complete all of the problems, but I will not extend the parts to hand in: just turn in problems 2, 4, 11, and 12.
Also, read about homomorphisms in the first six pages of chapter 10.
Here are some problems for the weekend:
| Homework 6 | ps | dvi | tex |
I urge you to do all of the problems, but just turn in problems 2, 4, 11, and 12 on Tuesday (October 30).
Here is the midterm exam and my solutions.
| Midterm | ps | dvi | tex | |
| answers | ps | dvi | tex |
Read chapter 6 carefully.
There will be a short quiz over this reading on Thursday.
Here are my solutions to the sample exam. Also, I included a proof that every abelian group of order six is cyclic:
| Sample exam | ps | dvi | tex | |
| answers | ps | dvi | tex |
Study the other homework problems, including the problems about sets, induction, functions, relations, division algorithm, Euclidean algorithm, gcds, etc... Know the definitions and theorems covered so far. Read and understand chapters 0 through 5 in the textbook.
There will be an inclass exam on Tuesday, October 23. I wrote this practice exam to give you an idea of what to expect.
| Sample exam | ps | dvi | tex |
You may turn in Homework 4 will be due on Thursday, October 11 instead of Tuesday, October 9.
There will be no office hours on Thursday, October 11.
I would like to postpone the first exam, originally scheduled for October 16, until Tuesday October 23. Please consider this and we will decide next week.
Here are some problems from the textbook:
On Tuesday, October 9, turn in written solutions to problem 20 from chapter 4, problem 12 from the review exercises and problems 17 and 23 from chapter 5.
Here are some problems from the textbook:
On Tuesday, October 2, turn in written solutions to problem 30 from chapter 2 and problems 20, 21, 51 from chapter 3.
Here are selected solutions to homework 2.
| Homework 2 | ps | dvi | tex | |
| Solutions | ps | dvi | tex |
Make sure that you've read chapters 1 and 2 in the textbook by classtime Thursday, but you may turn in your written solutions on Friday. I'll put an envelope on my office door (math tower 4-106).
Here is the second homework assignment. It's a bit later (3:30 pm) than I had hoped to post it, but I spent some time rewriting the second homework to include more problems on functions and induction:
| Homework 2 | ps | dvi | tex |
Also, carefully read chapters 0, 1, and 2 in the textbook and do exercises 1-6, 11, 30, 31, 35 from chapter 2.
On Tuesday, turn in problems 1g, 2b, 4d, 4e and exercise 3 from chapter 2 in the book.
Here are the first set of lecture notes/homework together with selected solutions.
| Homework 1 | ps | dvi | tex | |
| Solutions | ps | dvi | tex |
Let me know if you have any questions.
Here is a classlist. Please let me know if there are mistakes.
Here is the first homework assignment. It is a combination of lecture notes and homework problems.
| Homework 1 | ps | dvi | tex |
There are seven problems. Turn in solutions to 3c, 5, and 7 on Thursday, September 6.
Contact Information:
There is more information on the syllabus.