| Instructor |
Topic |
Notes |
| Mira Bernstein |
"A Few Words About Proofs" |
(PDF, PS, HTML) |
| 1. Zvezdelina Stankova |
Vectors - ASpplications to Problem Solving, Part I |
(PDF, PS) |
| 2. Zvezdelina Stankova |
Vectors - ASpplications to Problem Solving, Part II (advanced) |
(Note: same handout as above) |
| 2. Joe Buhler |
The Mathematics of Juggling (beginners) |
|
| 3. Bjorn Poonen |
Linear Recursive Sequences (beginners) |
(PDF, PS, HTML) |
| 3. Alexander Givental |
P-adic Numbers (advanced) |
(PDF, PS, HTML) |
| 4. Tom Davis |
Rubik's Cube and Groups (beginners) |
(PDF, PS, HTML) |
| 4. Eugene Mukhin |
Symmetric Polynomials (advanced) |
(PDF, PS, HTML) |
| 5. Paul Zeitz |
How vs. Why (general) |
(PDF, PS, HTML) |
| 6. Paul Zeitz |
Graphy Theory (beginners) |
(PDF, PS, HTML) |
| 6. Gabriel Carroll |
Monovariants (advanced) |
(PDF, PS, HTML) |
| 7. Ted Alper |
Two-player games, in real life and Math Olympiads (beginners) |
(PDF, PS, HTML) |
| 7. Paul Zeitz |
Graph Theory (advanced) |
(Note: same handout as beginners' session) |
| 8. Bjorn Poonen |
Infinity (beginners) |
(PDF, PS, HTML) |
| 8. Dmitriy Fuchs |
27 lines (advanced) |
(Abstract: HTML) |
| 9. Jeff Dinitz, University of Vermont |
Scheduling Tournaments and Leagues (public lecture) |
(Link to multimedia page at MSRI: HTML) |
| 10. Tom Davis |
Geometric Constructions, Part I (beginners) |
(PDF, PS, HTML) |
| 10. Joshua Zucker |
Number Theory (advanced) |
(PDF, PS, DOC) |
| 11. Tom Rike |
Geometric Constructions, Part II - Mascheroni and Steiner constructions (beginners) |
(PDF, PS, HTML) |
| 11. Vera Serganova |
Number Theory, Part II - Representing an integer as a sum of squares (advanced) |
(PDF, PS, HTML) |
| 12. Dmitriy Fuchs |
Cusps (general) |
(Abstract: HTML) |
| 13. Mira Bernstein |
Information Theory (beginners) |
(PDF, PS, HTML) |
| 13. Kiran Kedlaya |
Number Theory: What is an algebraic integer and why should I care? |
(PDF, PS, HTML) |
| 14. Tom Davis |
Encryption (general) |
Part I: (PDF, PS, HTML)
Part II: (PDF, PS, HTML)
|
| 15. Joshua Zucker |
Polynomials and Problem-Solving (beginners) |
|
| 15. Eugene Mukhin |
Gordon Identity (advanced) |
(PDF, PS, HTML) |
| 16. Joshua Zucker |
Polynomials, part II (beginners) |
|
| 16. Dario Ameodei and Austin Shapiro |
Towers of Powers (advanced) |
|
| 17. Dmitry Fuchs |
One plus square root of two to the power ten, and other interesting numbers (beginners) |
(Abstract: HTML) |
| 17. Zvezdelina Stankova |
Algebraic Geometry Part I(advanced) |
(PDF, PS, HTML) |
| 18. Quan Lam |
Complex numbers in geometry (beginners) |
|
| 18. Bernd Sturmfels |
Groebner bases (advanced) |
|
| 19. Quan Lam |
Permutation Group and its Isomorphisms (beginners) |
(PDF, PS, HTML) |
| 19. Zvezdelina Stankova |
Algebraic Geometry Part II (advanced) |
(Note: Same notes as in #17 above) |
| 20. Kiran Kedlaya |
BAMO practice session (beginners) |
(PDF, PS, HTML) |
| 20. Ted Alper |
BAMO practice session (advanced) |
(PDF, PS) |
| 21. Wungkum Fong |
BAMO practice session (beginners) |
(Note: solution for the problems in Kiran's handout PDF, PS, HTML) |
| 21. Eugene Mukhin |
BAMO practice session (advanced) |
|
| 22. Zvezdelina Stankova |
BAMO 2001 practice session (general) |
Practice Exam I: (PDF, PS)
Practice Exam II: (PDF, PS)
|
| 23. Robin Hartshorne |
The Algebra of Reflections: Applications of Analytic Geometry to Problems in Plane Geometry (general) |
|
| 24. Vera Serganova |
Diophantine Equations (beginners) |
(PDF, PS, HTML) |
| 24. Oaz Nir |
Quadratic Reciprocity (advanced) |
|
| 25. Tatiana Shubin |
Group Theory (beginners) |
|
| 25. Gabriel Carroll |
The Structure of Z/pZ (advanced) |
(PDF, PS, HTML) |
| 25. Tatiana Shubin |
Ring Theory (beginners) |
|
| 25. Andrew Dudzik |
Generating Functions (advanced) |
|
| 26. Alexandre Chorin |
Introduction to Computational Physics: Numerical methods and partial differential equations (general) |
|
| 27. Tom Rike |
Dynamic Geometry: Solving Problems Using Isometries (beginners) |
(PDF, PS, HTML) |
| 27. Maksim Maydanskiy |
Problems With Parameters (advanced) |
(PDF, PS, HTML) |
| 28. Kiran Kedlaya |
USAMO practice session (general) |
Problems: (PDF, PS, HTML)
Solutions: (PDF, PS, HTML)
|