C. Vinsonhaler
MSB 316
TTh 9:30 – 10:30, W 9:30-10:30
Phone: 486-3944
vinsonhaler@math.uconn.edu
www.math.uconn.edu/~vinsonhaler/math102/index.html
8:00-9:15 PM on Tuesday and Thursday
MSB 215
PProblem SSSolving by DeFranco and Vinsonhaler
Additional References:
Effective Problem Solving by Marvin Levine.
Prentice Hall. ISBN 0-13-245481-5.
Thinking Mathematically by John Mason with Leone Burton
& Kaye Stacey.
Addison-Wesley Publishing Company. ISBN 0-201-10238-2.
Goals: The basic goal is to foster problem solving skills that can be applied throughout the college experience and the rest of life.
Expectations: First, you are expected to come to class on time. There will be quizzes or exercises during almost every class that count as part of your grade. In class, we will not be doing much lecturing - you will be working on problems. You are responsible for everything that happens in class. If you miss a class, you are expected to find out what happened, either from me or one of your classmates. Second, you should expect to do some of your learning outside the classroom, generally spending around 6 hours a week working on this class. Problem Solving, like most subjects, is learned by doing it. Third, it is expected that you will get excited about what you are learning and take delight in your own, perhaps unexpected, ability to solve intriguing problems.
Homework: Homework will be assigned, collected and graded each week. Homework is to be done outside of class and we will not devote extensive class time to the discussion of homework problems. Your written work is expected to be neat, accurate and contain written explanations using full sentences and standard English. All work must be shown; an answer without an explanation is not worth any credit. Homework will be graded on the basis of accuracy, presentation and creativity . It is your responsibility to get help if you can't complete an assignment. You can come to my office, work with other students, send me email, or use any reasonable method to figure out how to complete your assignments. No late assignments will be accepted.
Group Projects: You will be assigned projects
during the semester to be worked on in groups. One write-up will be submitted
for each group. Like homework, projects will be graded on accuracy, creativity
and presentation. We will complete some of the projects in class, but
frequently additional time outside of class will be required to complete them.
Groups may be asked to present their project solutions to the class.
Your grade will be based on quizzes, homework and projects (55%), an exam (15%) and a final (30%).
Date |
IN CLASS ASSIGNMENTS |
8/29 |
Bean Heaps |
8/31 |
Chair Challenge |
9/5 |
Changing $.50, Acrobats |
9/7 |
20-minute Gamesworth on Chicken Nuggets |
9/12 |
Green’s Party,
Prom Problem |
9/14 |
Grilled Cheese |
9/19 |
Cycling Heaps |
9/21 |
Memorization – learn rhyme |
9/26 |
Changing Places |
9/28 |
Chocolates and Mathematical Induction |
10/3 |
Handshakes, Candy
Conundrum |
10/5 |
Review for exam, Mathematical Induction |
10/10 |
Exam |
10/12 |
Choosing Two worksheet |
10/17 |
Commuter,
Telescoping Sums |
10/19 |
Telescoping sums (induction),
Forty Thieves |
10/24 |
Twenty Unfaithful Husbands |
10/26 |
Twenty Unfaithful Husbands (revisited) |
10/31 |
Cryptarithmetic 1-6, Sudoku |
11/2 |
Grandfather, Faculty Debts |
11/7 |
House Hunt, p.97 - 41 |
11/9 |
Should You Switch? |
11/14 |
Light Switches, Checkerboard Chase |
11/16 |
Multiple Locks, Jumping Frogs, Dating Service (plan of attack) |
11/28 |
Multiple Locks, Jumping Frogs, Dating Service (complete) |
Review Topics for First Exam
Stretches 1-18, Acrobats, Bean game, Changing Places, Changing $.50,
Chocolates, Green Party, Handshakes, Prom Problem, Gamesworth, PSSSP Strategies
and other material from book.
Review Topics for Final
First Exam material: Bean game,
Chocolates, Green Party, Handshakes, All Stretches, Two Bean Heaps,
Cryptarithmetic, Twenty Unfaithful
Husbands, Commuter, Forty Thieves,
Faculty Debts, Jumping Frogs, Multiple Locks, Should You Switch? Checkerboard
Chase, PSSSP Strategies and subheadings, Choosing Problems, Tower of
Practice Final
Exam |
Date |
Exam 1 |
10/10 |
Final Exam |
12/13 |
Remember that no make-up exams will be given.
Sandglasses. You have two sandglasses, one that measures 9 minutes and the other 13. You want to boil a stew for exactly 30 minutes. Can you do this if you must turn over the glass(es) for the first time just as the stew starts to boil?
Choosing Problems. (a) Calculate C(6,2) and C(17,2). (b) How many ways to choose a committee of 2 from 11 people? (c) Calculate C(7,3) and C(8,3). (d) Calculate C(6,4), C(6,5) and C(6,6).
More Candy. How many ways can 10 identical pieces of candy be divided among three people, if it is possible to give no candy to a person (or two). What does the answer have to do with choosing problems?
Bonus Problem: Show that the tetrominoes S and Z can
form a common region.
Problems posed by C. Vinsonhaler.
Problems
posed by A. Stein.
Last modified September, 2006 by Charles Vinsonhaler <vinsonhaler@math.uconn.edu> .
[COMMENTS] to Professor Vinsonhaler.