Homework: Spring 2008, Math 113 (Finotti)

heather@math.utk.edu

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General Guidelines 

**On homework, quizzes, and exams, solutions need to be well written and explained in order to obtain credit, answers only are not accepted. 

**The purpose of the homework sets are for you to work through the understanding of the material and see what it is you do and do not understand so that you can fine tune your understanding from there -- please keep this viewpoint in mind when working through problems. 

**Educational research shows that studying and learning in peer groups often leads to better comprehension of the material.  Get to know your classmates and form study groups. 

**The other side of the coin is that just as beneficial to your learning is time spent grappling with the material alone.  Always do your final homework writeups on your own.  This helps you to know what it is that you really do or don't understand

**If you plagerize (i.e try to pass off work done by someone else as your own), you will get a zero for the homework set, and will be reported to University authorities.

*Please look at the following interesting graph of material retention vs. time lapse from first exposure until review (retention curve) and the subsequent tips for textbook reading

Keep this in mind when writing up your homework solutions -- it IS as important for learning math to practice explaining your solutions as it is finding them!  Mathematics is a language.

Group Homework Guidelines (just the first page - disregard the stuff on grading)
Everyone in the group is expected to come to group meetings prepared and to contribute!  If you are having trouble with anyone in your group who is not doing their part, please come talk to me as soon as possible.

Homework Set #

 Due Date

Homework Assigment



 

 1

 1/14

   Write up solutions to the four problems given in class on the second class day.  Make sure you include complete explanations, not just answers!

 2
1/23

2.1:  1,2,8,14
2.2:  2,3,6,7,17
Group Homework - 2.1:  19;  2.2:  28,30,37


3
1/28
 2.3:  1-5, 7,12,14,15
Midterm 1
 Exam is
2/1
 Will cover material from:  Problem solving from first two days, 2.1, 2.2, and 2.3

Some problems that you might like to think about for review:  look at 1,2,4(just Fibonacci, Fermat, Wiles, and the Pythagoreans), and 5-20  from this list of review problems.  These are not mandatory, they're just here for your practice.

Make sure you know any definitions that have been made, all important results (often things in yellow boxes), and how to prove them (if we went over it in class).  Go back over your reading, notes, and homework.   Make sure you understand the marks I made in your homework so that you can learn from them and not repeat the same issues on the exam!
 
4
2/8

 2.6:  1-5, 6, 10, 15
2.7:  1-5, 7, 10, 20, 23, 25
Group Homework - 2.3:  32,35;  2.6:  30;  2.7: 36   (Make sure you Read THIS  before you meet with your group)

5
2/13

 3.1: 1,3,8,12
3.2: 5,6,7,14
Group Homework - 3.1:  14,16;  3.2: 16,26;(16 should say at the end "Describe how many times this accomodation can be made...")
Midterm 2 Exam 
2/18		 Will cover material from 2.6, 2.7, 3.1, and 3.2

Some problems that you might like to think about for review:  look at 21-30, 32-35(only a-k), and 36-41 from this list of review problems.  These are not mandatory, they're just here for your practice.

Make sure you know any definitions that have been made, all important results (often things in yellow boxes), and how to prove them (if we went over it in class).  Go back over your reading, notes, and homework.   Make sure you understand the marks I made in your homework so that you can learn from them and not repeat the same issues on the exam!
6
 2/22
 3.3: 1-5, 9,11,14

Here are your new groups.  You only have the weekend and 2 class days before the next groupwork is due, so get in touch with your group members now and schedule your meeting! 

7
2/27

 4.1:  1-5,6,12,15
4.2:  1-5,9,12,13
Group Homework:   3.3: 16,19;  4.1: 18;  4.2: 20; 

8
 3/3

 4.3: 1-3,9,12,13
4.4:  6,8,10,12
9
 3/7
 4.7: 1-5,7,12,14
Group Homework - 4.3: 16; 4.4: 16; 4.7: 16,18
Midterm 3 Exam is
3/12		 Will cover material from 3.3, 4.1, 4.2, 4.3, 4.4, 4.7

Some problems that you might like to think about for review:  look at 21,30-34, 35(l&m), 39, 42-47, 49-74  from this list of review problems.  These are not mandatory, they're just here for your practice. (some of these are repeated from the last exam, to help you remember the material)

Make sure you know any definitions that have been made, all important results (often things in yellow boxes), and how to prove them (if we went over it in class).  Go back over your reading, notes, and homework.   Make sure you understand the marks I made in your homework so that you can learn from them and not repeat the same issues on the exam!
10 3/28

 5.1:  3,4,6,9-12
5.2:  1-4,8,9,14,25
(you might want to do 5.1 before spring break, while the material is still fresh in your mind!)

11
4/4
 4.5: 1-8
5.3: 1-5,7,9,13
Group Homework - 5.1: 31,38;  5.2: 33,36;  5.3:  26,40

12
4/9
 7.1:  1-12
7.2: 1-5,8,12,18-20

13
 4/14
 7.3: 1-5,23,26
Group Homework -  7.2: 28,30;  7.3:  29,30,32
Midterm 4
 4/16
 Covers 5.1-5.3, 4.5, 7.1-7.3
Some problems that you might like to think about for review:  look at 75-98, 101, 102,  and 104-115 from this list of review problems.  These are not mandatory, they're just here for your practice.

Make sure you know any definitions that have been made (italicized in the text), all important results (often things in yellow boxes), and how to prove them (if we went over it in class).  Go back over your reading, notes, and homework.   Make sure you understand the marks I made in your homework so that you can learn from them and not repeat the same issues on the exam!
14
 4/21
 8.2:  1-5,6,10,11,13,15

15
4/25
 8.3:  1-3,8,9,11,12,15  (taken from this handout, not the book! - same for the groupwork problems from 8.3)
Group Homework - 8.2: 17,20,21,22  8.3:  16,19
Final Review
 Exam is
May 5

8 am

usual
classroom

 Cumulative!  Covers everything we did in the semester.

Office Hours
Friday May 2, 2-4 pm.  in Ayres 303 (my office).  Remember, no question is a "stupid question"!

Suggestions for study:
--Make yourself an outline of the topics, and include all relevant definitions, statements of theorems, and important examples.  Make a list of real life applications of things we learned about.  Also, list important people and what their contributions were.

-- Know the proofs of:  square root of two is irrational,  there are infinitely many prime numbers, the real numbers and the natural numbers have different cardinalities, the rational numbers and the natural numbers have the same cardinality  (at least one of these will be on the exam!)

-- Look back at the review questions for old exams posted above, old homework problems (especially those that you didn't get the first time round), and old exams.

-- Financial math problems - you will be given the formulas that were on the handout.  Make sure you know how to use your calculator to solve these types of problems, and be sure you know when it is appropriate to use each formula.

-- I've posted solutions to the more problematic problems from the homework for section 8.2.  Make sure you look at these, and let me know if you have questions.

On exam day:
Bring a calculator.  You may not use the calculator built into any other sort of device (phone, PDA, etc) .  If you do not own one, let me know and I will look into providing one for you.  You will need to tell me ahead of time, however.

There will be 18 problems on the exams, two of which are worth 10 points, the rest are worth 5 for a total of 100 points.  Remember, as usual, you need to show your work on all problems - even the financial math problems! - to get credit.  Bring your IDs in case it happens that someone else will have to proctor the exam for me.