Resources:
MathWorld | Wikipedia | OEIS | Ask Dr. Math | The Math Less Traveled
Assignments:
| Week | Assigned | Due | Topic | Links/Instructions |
|---|---|---|---|---|
| 1 | 9/2 | 9/12 | LaTeX tutorial, set theory | [ pdf | tex ] |
| 2 | 9/12 | 9/19 | Functions and relations | [ pdf | tex ] |
| 3 | 9/19 | 9/26 | To infinity... and beyond! | [ pdf | tex ] |
| 4 | 9/26 | 10/3 | Logic and proof I | pdf -- do problems 1,2,3,5,7,8,10,11,13,14,16,17,20,21, and 24. |
| 5 | 10/3 | 10/10 | Logic and proof II | Same pdf from last week. Read the rest of the chapter and do problems 28*, 29, 32*, 33, 34*, 35, 36, 39*, 41, 46-49. Starred problems are to be turned in (in sketch form) by Wednesday 10/8. |
| 6 | 10/10 | 10/17 | Interlude: Logic circuits | [ pdf
| tex ] Do problems 2, 6, 8, and 12 for Wednesday. |
| 7 | 10/17 | 10/24 | Algebra & geometry review | [ pdf
| tex ] Do problems 4, 10, and 15 for Wednesday. |
| 8 | 10/24 | 10/31 | Fundamentals of Trigonometry | [ pdf | tex | tgz ] Do problems 3, 4e, 8, and 11c for Wednesday. |
| 9 | 10/31 | 11/7 | Fundamentals of Trigonometry II | [ pdf | tex | tgz ] Do problems 2ab, 3abc, and 7 for Wednesday. |
| 10 | 11/7 | 11/14 | Reference angles | [ pdf | tex | tgz ] Do problems 1, 3b, and 4b for Wednesday. |
| 11 | 11/14 | 11/25 (Tues) | Inverse trigonometric relations |
[ pdf | tex | tgz ] Do problems 1, 6, 8, and 10 for Monday 11/24. Assignment is due Tuesday 11/25. |
| -- | -- | -- | Thanksgiving | |
| 12 | 11/28 | 12/5 | Trigonometric identities |
[ pdf | tex | tgz ] Do problems 1, 3, 9bd, and 11 for Wednesday 12/3. |
| 13 | 12/5 | 12/12 | Triangle laws |
[ pdf | tex | tgz ] Do problems 2, 4, and 5 for Wednesday 12/10. |
| -- | -- | -- | Christmas/New Year | |
| 14 | 1/9/2009 | 1/16 | Polar coordinates |
[ pdf | tex | tgz ] Do problems 1, 2, 6ab, and 7ab for Wednesday 1/14. |
| 15 | 1/16/2009 | 1/23 | Vectors |
[ pdf
| tex
| tgz ] Here's a link to the racecar game! Do problems 1ab and 2 for Wednesday 1/21. |
| 16 | 1/23 | 1/30 | Complex numbers (review) |
[ pdf
| tex ] Do problems 2, 3, 5, and 9a for Wednesday 1/28. |
| 17 | 1/30 | 2/6 | The polar form of complex numbers |
[ pdf
| tex
| tgz ] Do problems 2, 5, and 6, and a revision of problem 12 on assignment 16 for Wednesday 2/4. |
| 18 | 2/6 | 2/13 | Matrices |
[ pdf
| tex
] Do problems 2a, 5, 6d, and 8 for Wednesday 2/11. |
| 19 | 2/20 | 2/27 | Linear transformations |
[ pdf
| tex
| tgz
] Do problems 1, 5, 7, and 9 for Wednesday 2/25. |
| 20 | 3/6 | 3/20 | The Art of Counting, Part I |
[ pdf
| tex
| tgz
] |
| 21 | 3/13 | 3/20 | The Art of Counting, Part II |
[ pdf
| tex
] Do problems 2, 5, 10, and 12 for Wednesday 3/18. |
| 22 | 3/20 | 3/27 | Probability |
[ pdf
| tex
] Do problems 1, 4, 7c, 9b, and 12 for Wednesday 3/25. |
| 23 | 3/27 | 4/3 | Sequences |
[ pdf
| tex
] Do problems 2, 4abc, 10, and 16 for Wednesday 4/1. |
| 24 | 4/3 | 4/10 | Series |
[ pdf
| tex
] Do problems 1, 2ab, and 4 for Wednesday 4/8. |
| 25 | 4/10 | 4/24 | essay on a historical mathematician | |
| 26 | 4/24 | 5/1 | Number Theory I |
[ pdf
| tex
] Do problems 1, 2abc, 4, and 6 for Wednesday 4/29. |
| 27 | 5/1 | 5/8 | Modular Arithmetic & Cryptography |
[ pdf
| tex
| tgz
] Do problems 1, 5abc, and 6ab for Wednesday 5/6. |
| 28 | 5/8 | 5/15 | More Number Theory and RSA |
[ pdf
| tex
] Do problems 2, 4a, 7a, and 8b for Wednesday 5/13. |
| 29 | 5/15 | 5/22 | Logarithm review |
[ pdf
| tex
] Do problems 2ab, 3ab, 4bc, and 5 for Wednesday 5/20. |
| 30 | 5/22 | 5/29 | Graph theory |
[ pdf
| tex
| tgz
] Do problems 1, 4, and 6 for Wednesday 5/27. |
| 31 | 5/29 | 6/5 | Graph theory II |
[ pdf
| tex
| tgz
] Do problems 3, 4, and 7 for Wednesday 6/3. |