This is the webpage for my three sections of Math 2568, Fall 2016 (sections 35, 90, and 110). This course also uses Carmen -- at least for distributing quiz and midterm grades, but hopefully also for discussion.

The revised course syllabus (effective Sept. 14) is here. I'm leaving the provisional syllabus accessible here in the interest of transparency. (Edit Oct. 2: A re-revised version -- on which I've updated nothing but the URL of the course webpage -- is available here.)

**update (Sept. 14):** The Wednesday quizzes will be focused on the material of the previous three meetings. ~~The Wednesday quizzes will only be based on the material of the previous week (so will not include the material from Monday of the same week).~~

**Finals week office hours:** 1pm-3pm on both Monday 12/12 and Tuesday 12/13 (and not during the usual times). I'm also holding secret office hours just for s110, since their final is particularly early (it's on Friday 12/9): 6pm-8pm on Wednesday 12/7 and 1pm-3pm on Thursday 12/8.

office hours: Mondays 9:45-11:15 and Tuesdays 10:00-11:30 in MW 630 (Math Tower) ~~Wednesdays, 9:15-11:15am and 4:15-5:15pm.~~

contact: edu.osu@mazel-gee.1 ~~aaron.teaches.math@gmail~~

**quizzes and solutions**

q# | date | §§ | s35 | s90 | s110 |

1 | 8/31 | 1.1,2 | Q/A | Q/A | Q/A |

2 | 9/7 | 1.3,5,6 | Q/A | Q/A | Q/A |

3 | 9/14 | 1.7,9 | Q/A | Q/A | Q/A |

4 | 9/21 | 2.1,2,3 | Q/A | Q/A | Q/A |

5 | 10/5 | 3.1,2 | Q/A | Q/A | Q/A |

6 | 10/12 | 3.3,4,5 | Q/A | Q/A | Q/A |

7 | 10/19 | 3.6,7 | Q/A | Q/A | Q/A |

8 | 10/26 | 5.2,3 | Q/A | Q/A | Q/A |

9 | 11/9 | 5.7 | Q/A | Q/A | Q/A |

10 | 11/16 | 5.9 | Q/A | Q/A | Q/A |

11 | 11/30 | 4.1,2,4; 5.10 | Q/A | Q/A | Q/A |

12 | 12/7 | 4.6 | Q/A | Q/A | Q/A |

**midterms and solutions**

mt# | date | emphasis | s35 | s90 | s110 |

1 | 9/28 | q1-q4, §2.4 | Q/A | Q/A | Q/A |

2 | 11/2 | q5-q8, §5.4 | Q/A | Q/A | Q/A* |

**finals and solutions**

s35 | s90 | s110 |

Q/A | Q/A | Q/A |

* = tentative

* = There were typos in the statements of mt2s110p1 and p2, which are corrected in the versions posted here. I'm sorry about that. This was taken into account when those problems were graded.

**suggested homework problems**

1.1: Introduction to matrices and systems of linear equations | 1, 2, 4, 6, 9, 10, 12, 13, 16, 17, 24, 29, 33, 34 |

1.2: Echelon form and Gauss--Jordan elimination | 5, 6, 7, 10, 13, 16, 19, 22, 27, 29, 31, 35, 38, 39 |

1.3: Consistent systems of linear equations | 3, 4, 8, 9, 13, 14, 17, 18, 20, 21, 23, 24, 27, 28 |

1.5: Matrix operations | 1, 5, 6, 9, 10, 15, 20, 28, 29, 32, 42, 44, 48, 53, 58, 61, 62, 65, 68, 69 |

1.6: Algebraic properties of matrix operations | 1, 2, 9, 12, 13, 16, 20, 22, 36, 39, 41, 42 |

1.7: Linear independence and nonsingular matrices | 1, 2, 9, 10, 13, 14, 20, 23, 30, 31, 32, 33, 35, 38, 41, 42, 46, 47 |

1.9: Matrix inverses and their properties | 1, 3, 6, 7, 10, 11, 13, 19, 20, 22, 23, 27, 28, 31, 32, 46, 48, 49, 50, 51 |

2.1: Vectors in the plane | 7, 8, 16, 18, 21, 26, 28, 31, 32-36, 38 |

2.2: Vectors in space | 1, 2, 8, 9, 10, 12, 18, 19, 22, 25, 26, 28, 30, 32, 34, 35 |

2.3: The dot product and the cross product | 2, 3, 4, 13, 16, 18, 19, 20, 23, 25, 26, 32, 34, 36, 39, 40, 42, 44, 46, 48 |

2.4: Lines and planes in space | 1, 3, 6, 9, 12, 15, 17, 21-26 |

3.1: Introduction | 22-30 |

3.2: Vector space properties of R^{n}
| 1, 2, 3, 6, 7, 8, 10, 11, 15, 16, 18, 19, 21, 22, 24, 29 |

3.3: Examples of subspaces | 1, 4, 6, 8, 11, 12, 14, 16, 18, 19, 22, 23, 24, 25, 26, 27, 30, 33, 34, 36, 37, 40, 46, 48, 50 |

3.4: Bases for subspaces | 2, 3, 6, 10, 11, 13, 14, 17, 19, 20, 22-27, 32, 34, 35, 36 |

3.5: Dimension | 1, 3, 6, 8, 9, 15, 18-28, 33, 34, 35 |

3.6: Orthogonal bases for subspaces | 2, 4, 6, 8, 9, 10, 13, 16, 20, 24, 25, 26 |

3.7: Linear transformations from R^{n} to R^{m}
| 2, 3, 6, 7, 8, 9, 10, 11, 12, 14, 16, 17, 18, 19, 20, 22, 23, 26, 27, 28, 30, 31 |

5.2: Vector spaces | 1, 2, 3, 5, 8, 9, 10, 13, 14, 15, 17, 18, 19, 25, 26, 28, 29, 30, 31, 33 |

5.3: Subspaces | 3, 4, 5, 7, 10-15, 17, 18, 19, 21-26, 31, 32, 33 |

5.4: Linear independence, bases, and coordinates | 2, 3, 6, 8-13, 16-20, 22-31 |

5.7: Linear transformations | 1-19, 21 |

5.9: Matrix representations for linear transformations | 1, 2, 5, 8, 9, 10, 14-23, 28, 29 |

4.1: The eigenvalue problem for (2x2) matrices | 2, 4, 6, 10, 12, 13, 14, 17, 18, 19 |

4.2: Determinants and the eigenvalue problem | 2, 4, 6, 8, 12, 14, 18, 19, 21, 22, 27-30 |

4.4: Eigenvalues and the characteristic polynomial | 1-14 |

5.10: Change of basis and diagonalization | 1-9, 14-16 |

4.6: Complex eigenvalues and eigenvectors | 1-26 |