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Archives

Below you can find a record of what the Problem Solving Group has worked on in past years. Most of the files below were produced by Bill Huber or Lucas Van Meter (one notable exception is the Freshman Prize Exam 2007 Questions, which was produced by Steve Wang).

Some Mathematica notebooks are also included here. Because we could not upload the notebook itself we upload a .pdf version instead.

2009-10 (fall)

1. Some Introductory Problems

2. Boxes

3. Hexagon

4. Invariant

5. Committees

6. Miscallany

7. Number Thoery

8. Even More Number Thoery!

9. That’s Right, More Number Thoery

10. Puntam Number Thoery

11. Sol. to Putnam Number Theory and Fermat’s Little Theroem

12. Can’t Get Enough Number Theory

13. A few more Sol. to Number Thoery

14. An Integral

15. Invariants

2009 Holiday Problems

2008-09

P0 2008 Summer Problems

S0 Summer Problems

P/S1.1 Introductory Problems

S1.2 Introductory Problems

P/S3 Higher Dimensional Spheres

S3 Higher Dimensional Spheres

P/S4 Sleeping Beauty

There are also some supplementy articles relating to sleeping beauty:

Arntzenius 2002, Franceschi 2005, Groisman 2007, Papineau 2008, Pust 2006, Vineberg

P/S5 Two Envelope Problem

P/S6 Pascal’s Telescope

P7 Voting

S7 Voting

P8 Putnam Problems

S8.1 Putnam Problems

S8.2 Putnam Problems

S8.3 Putnam Problems

S8.4 Putnam Problems

P9 2008 Holiday Problems

S9 2008 Holiday Problems

P10 Analysis

S10.1 Analysis

S10.2 Analysis

P11 Geometry

S11 Geometry

P12 Logic

S12.1 Logic

S12.2 Logic

P/S12.5 345exponents

P13 Polynomials

S13 Polynomials

S14 Swarthmore Exam

Freshman Exam 2009 Questions

Freshman Exam 2009 Solutions

Freshman Exam 2009 Mathmatica

2007-08

2. Light Switch Problem

3. Intro Prob Solutions

4.1 Pigeonholes

4.2 Pigeonhole Solutions

4.3 More Pigeonhole Solutions

5.1 Counting

5.2 Counting Solutions

6. Combinatorial Problem

7.1 Invariants

7.2 Invariants Solutions

7.3 More Invariants Solutions

8.1 Topology

8.2 Topology Solutions

8.3 More Topology Solutions

9.1 Putnam Problems

9.2 Putnam Solutions

10.1 Holiday Problems

10.2 Holiday Problem Solutions

11.1 Difficult (looking)

11.2 Difficult (looking)

12 Lemmings and Towers

Putnam 2007 B1

Putnam 2007 Solutions

Freshmen Exam 2008 Question

Freshman Exam 2008 Solutions

2006-07

P1. Ten Introductory Problems

P2. Out of the Ordinary

P3. Interesting Integrals

P4. Six Problems from the AMM

P5. Inequalities

P6. Numbers

Freshman Exam 2007 Questions

Freshman Exam 2007 Solutions

2005-06

P0. Ads 2005

S0. Ads 2005

P1. Calculus 2005

S1. Calculus 2005

P2. Complex Numbers 2005

S2. Complex Numbers 2005

P3. Probability 2005

S3. Probability 2005

P4. Invariance 2005

S4. Invariance 2005

P5. Number Theory 2005

S5. Number Theory 2005

P6. Inequalities 2005

S6. Inequalities 2005

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