Sel Top Problem Solving Sem
Sel Top Problem Solving Sem MAT 300
Popular in Course
Popular in Mathematics (M)
This 2 page Class Notes was uploaded by Dr. Taya Dickens on Wednesday October 28, 2015. The Class Notes belongs to MAT 300 at Utica College taught by Brad Emmons in Fall. Since its upload, it has received 31 views. For similar materials see /class/230521/mat-300-utica-college in Mathematics (M) at Utica College.
Reviews for Sel Top Problem Solving Sem
Report this Material
What is Karma?
Karma is the currency of StudySoup.
Date Created: 10/28/15
Mathematics MAT 300 Problem Solving Seminar Fall 2007 TBA Instructor Dr Brad Emmons Of ce DePerno Hall 121 Telephone 7923413 Of ce Hours Tuesday 930 1030 Thursday 930 1130 or by appointment Email bemonsQuticaedu Homepage http www ut ica edufacultyjtaffbemmons Course Materials Lecture Notes Brain required Introduction This problem solving seminar has two main goals The rst goal is to make you into a better mathematical problem solver We will attempt to achieve this by concentrating on the types of problems that occur in mathematical contests throughout the country and world The nice things about these problems is that the solutions tend to use only elementary techniques so we will not require any advanced mumbo jumbo like Abstract Algebra Analysis or Nonlinear Hypergeometric Bundle Theory While there are in nitely many problems that can appear in a contest there are several themes that reoccur that we can explore to give ourselves a ghting chance This brings us to our second goal The Putnam Mathematical Competition The William Lowell Putnam Competition is an annual student math competition sponsored by the Mathematical Association of America More than 2000 students from colleges and universities in the United States and Canada participate in this contest each year The Putnam A is held 39 at paiticipatiu universities usually on the rst Saturday of December This year the competition will be held on Saturday December 1 For more information about the contest including past exams and solutions visit http wwwun1 eduamcaact ivit iesa7prob1emsputnamindex shtml Exams The exam will be held on Saturday December 1 from 1000 am to 600 pm Participation in the exam is required for the course As an extra incentive I will treat the participants to a free lunch at the Empire Dynasty Chinese Buffet in New Hartford Homework I will pass out problems each week which you will attempt to solve for discussion the following week Since the Putnam Exam is a written graded exam your solutions must be written in a form suitable for submission Writing solutions to complex problems takes practice and experience For this reason we will spend a considerable amount of time writing and rewriting solutions A poorly written correct solution can loose points in the contest whereas a well written partial solution can gain points In addition to being valuable in the contest working on good writing now will parlay itself into success in other mathematics courses and in life You will keep and maintain a homework problems portfolio which will be periodically checked for accuracy and completeness Attendance and Class Participation Since this is a seminar course attendance and class participation are mandatory Grading Your grade in this course will be based on your homework problems portfolio improvement over the course and participation in the Putnam Exam on December 1 Calculators Since calculators are not allowed on the Putnam exam you should try to refrain from using one as much as possible for solving the homework problems Although you may use a calculator to satisfy an idle curiosity here and there Important Dates Saturday7 December 1 7 Putnam Exam Suggestions 0 Do not give up on a problem if you do not see the solution right away Keep working 0 Try to look at the problems a little bit every day o If you get stuck7 or need a pointer7 feel free to stop by my of ce or in the hallway for a hint or suggestion o The best math students in the world this exami You should feel proud to be a part of this 0 Do not attach too much of your self esteem to your performance on the exami The median score is 1 out of 120 0 Have fun Topics 0 Problem Solving Heuristics o Pigeonhole Principle 0 Mathematical lnduction 0 Modular Arithmetic o Inequalities 0 Geometry o Diophantine Equations 0 Polynomials o Recurrence relations 0 Combinatorics o Generating Functions 0 Rational and lrrational Numbers