- Gilbert Strang,
*Introduction to Linear Algebra,*4th ed., Wellesley-Cambridge/SIAM, 2009. - Charles M. Grinstead and J. Laurie Snell,
*Introduction to Probability*. This is available online from Dartmouth.

Quizzes | 10 | @ | 2.5% each | 25% |

Midterms | 2 | @ | 20% each | 40% |

Final Exam | 35% | |||

Total | 100% |

- Represent a system of linear equations with matrices;
- Find the general solution of such a system (or determine that none exists);
- Carry out various operations in matrix algebra;
- Work with vectors, vector spaces, bases, and dimension;
- Understand Determinants;
- Calculate eigenvalues and eigenvectors of linear transformations;
- Understand probability models and sampling;
- Understand independence and conditional probability;
- Understand random variables and basic descriptive statistics.

Week | Material |

1/25-1/29 | Preliminaries. Vectors and matrices. |

2/1-2/5 | Solving linear systems and matrix operations. |

Quiz 1, Friday, 2/5. | |

2/8-2/12 | Inverse matrices, LU factorization. |

Quiz 2, Friday, 2/12. | |

2/16-2/19 | Vector spaces, independence, basis. |

Quiz 3, Friday, 2/19. | |

2/22-2/26 | Orthogonality. |

Midterm 1, Friday, 2/26. | |

2/29-3/4 | Determinants. |

Quiz 4, Friday, 3/4. | |

3/7-3/11 | Eigenvalues and eigenvectors. |

Quiz 5, Friday, 3/11. | |

3/21-3/24 | Eigenvalues, eigenvectors and PageRank |

Quiz 6, Wednesday, 3/23. | |

3/28-4/1 | Linear transformations. |

Quiz 7, Friday, 4/1. | |

4/4-4/8 | Discrete probability distributions. |

Midterm 2, Friday, 4/8. | |

4/11-4/15 | Combinatorics. |

Quiz 8, Friday, 4/15. | |

4/18-4/22 | Conditional probability. |

Quiz 9, Friday, 4/22. | |

4/25-4/29 | Random variables and expected value. |

Quiz 10, Friday, 4/29. | |

5/2-5/6 | Law of large numbers. |

Quiz 11, Friday, 5/6. | |

5/9-5/12 | Central limit theorem |

Quiz 12, Wednesday, 5/11. |

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On 28 Jan 2016, 18:10.