Instructor: John Lesieutre

Meetings: MWF 1:00-1:50 (Lecture Center D5)

Email: jdl@uic.edu

Office hours: Tu 3-4,Th 3-4, F 10-11 (in SEO 411)

Syllabus and course info

The final exam will take place Monday, 12/7 from 1-3 in Lecture Center D5 (the usual class room). Please don't miss it!

Final review sheet

Complete scanned notes

Practice final, Solutions

Review sheet 2

Practice test 2, Solutions

Review sheet 1

Practice test 1, Solutions

Links:

Blackboard (grades)

Piazza (discussion)

General math 310 info

Schedule and notes

8/24 | 1.1: Linear systems | lecture | HW: 1.1.2, 1.1.13, 1.1.17 (problems, solutions) |

8/26 | 1.2: Row reduction and echelon forms | lecture | HW: 1.2.2, 1.2.3, 1.2.4 (problems, solutions) |

8/28 | 1.3: Vector equations | lecture | HW: 1.2.7, 1.2.12, 1.3.1, 1.3.3, 1.3.9 (problems, solutions) |

8/31 | 1.4: The matrix equation Ax=b |
lecture | HW: 1.3.11, 1.3.18, 1.4.1, 1.4.3, 1.4.10 (problems, solutions) |

9/2 | 1.5: Solution sets of linear systems | lecture, quiz | HW: 1.5.5, 1.5.7, 1.5.9, 1.5.15, 1.5.17 (problems, solutions) |

9/4 | 1.6: Applications of linear systems | lecture | HW: 1.6.1, 1.6.5, 1.6.6, 1.6.11 (problems, solutions) |

9/9 | 1.7: Linear independence | lecture, quiz | HW: 1.7.1, 1.7.4, 1.7.9, 1.7.29, (problems, solutions) |

9/11 | 1.8: Linear transformations | lecture | HW: 1.8.1, 1.8.3, 1.8.15, 1.8.16 (problems, solutions) |

9/14 | 1.9: Matrix of a linear transformation | lecture | HW: 1.9.2, 1.9.4, 1.9.13, 1.9.19 (problems, solutions) |

9/16 | 1.10: Linear models in business, science, and engineering | lecture, quiz | HW: 1.9.26, 1.10.5, 1.10.9 (problems, solutions) |

9/18 | 2.1: Matrix operations | lecture | HW: 2.1.1, 2.1.3, 2.1.5, 2.1.10 (problems, solutions) |

9/21 | 2.2: Inverse of a matrix | lecture | HW: 2.2.1, 2.2.5, 2.2.31, transformation problem (see pdf) (problems, solutions) |

9/23 | 2.3: Characterization of invertible matrices | lecture, quiz | HW: 2.3.1, 2.3.3, 2.3.13, 2.3.15 (problems, solutions) |

9/25 | Leftovers, 2.5: Matrix factorizations | lecture | HW: 1.10.9, 2.5.1, 2.5.9 (problems, solutions) |

9/28 | 3.1: Introduction to determinants | lecture | HW: 3.1.1, 3.1.4, 3.1.9, 3.4.15, 3.4.19 (problems, solutions) |

9/30 | Midterm 1 | exam, solutions | |

10/2 | 3.2: Properties of determinants | lecture | HW: 3.2.5, 3.2.11, 3.2.24, 3.2.29 (problems, solutions) |

10/5 | 3.3: Cramer's rule, volume and linear transformations | lecture | HW: 3.3.1, 3.3.7, 3.3.11, 3.3.20, 3.3.29 (problems, solutions) |

10/7 | 4.1: Vector spaces and subspaces | lecture, quiz | HW: 4.1.1, 4.1.3, 4.1.5, 4.1.7 (problems, solutions) |

10/9 | 4.2: Null spaces, column spaces, and linear transformations | lecture | HW: 4.1.11, 4.2.4, 4.2.7, 4.2.15, 4.2.17 (problems, solutions) |

10/12 | 4.3: Linearly independent sets; bases | lecture | HW: 4.3.3, 4.3.9, 4.3.15, 4.3.34 (problems, solutions) |

10/14 | 4.4: Coordinate system | lecture, quiz | HW: 4.4.3, 4.4.5, 4.4.7, 4.4.12, 4.4.14 (problems, solutions) |

10/16 | 4.5: The dimension of a vector space | lecture | HW: 4.5.1, 4.5.5, 4.5.11, 4.5.21 (problems, solutions) |

10/19 | 4.6: Rank | lecture | HW: 4.6.1, 4.6.2, 4.6.8, 4.6.9, 4.6.22 (problems, solutions) |

10/21 | 4.7: Change of basis | lecture, quiz | HW: 4.7,1, 4.7.7, 4.7.9, 4.7.13 (problems, solutions) |

10/23 | 4.9: Applications to Markov chains | lecture | HW: 4.9.1, 4.9.4, 4.9.7, 4.9.11 (problems, solutions) |

10/26 | 5.1: Eigenvectors and eigenvalues | lecture | HW: 5.1.1, 5.1.2, 5.1.15, 5.1.18, 5.1.19 (problems, solutions) |

10/28 | 5.2: The characteristic equation | lecture, quiz | HW: 5.2.1, 5.2.5, 5.2.9, 5.2.12, 5.2.15 (problems, solutions) |

10/30 | 5.3: Diagonalization | lecture | HW: 5.3.1, 5.3.3, 5.3.7, 5.3.11 (problems, solutions) |

11/2 | 5.4: Eigenvectors and linear transformations | lecture | HW: 5.4.11, 5.4.13, Fibonacci problem in pdf (problems, solutions) |

11/4 | Eigenvector review, Appendix B: complex numbers | lecture, quiz | HW: 5.4.18, complex numbers problems in pdf (problems, solutions) |

11/6 | 5.5: Complex eigenvalues | lecture | HW: 5.5.1, 5.5.4, 5.5.9, 5.5.13 (problems, solutions) |

11/9 | 5.7: Applications to differential equations | lecture | HW: 5.7.1, 5.7.7, 5.7.9 (problems, solutions) |

11/11 | Midterm 2 | exam, solutions | |

11/13 | 6.1: Inner product, length and orthogonality | lecture | HW: 6.1.1, 6.1.14, 6.1.16, 6.1.26 (problems, solutions) |

11/16 | 6.2: Orthogonal sets | lecture | HW: 6.2.1, 6.2.8, 6.2.10, 6.2.12, 6.2.13 (problems, solutions) |

11/18 | 6.3: Orthogonal projections | lecture, quiz | HW: 6.3.3, 6.3.9, 6.3.12, 6.3.15 (problems, solutions) |

11/20 | 6.4: The Gram--Schmidt process | lecture | HW: 6.4.1, 6.4.9, 6.4.10, 6.4.13 (problems, solutions) |

11/23 | 6.5: Least-squares problems | lecture | HW: 6.5.9, 6.5.12, 6.6.2, 6.6.3 (problems, solutions) |

11/25 | 6.6: Application to linear models | lecture, quiz | HW: 6.5.3, 6.5.15, 6.6.8, 6.6.9 (problems, solutions) |

11/30 | 7.1: Diagonalization of symmetric matrices | lecture | HW: none, but could be on final |

12/2 | 7.4: The singular value decomposition | lecture, quiz | |

12/4 | Review | lecture | Good luck! |

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