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Instructor: Jeffrey Connors

E-mail: jeffrey.connors@uconn.edu

Office: ACD 114C

Office hours: M,W 3:15-4:15 PM, or by appointment (e-mail me). You can always drop in and see if I happen to be available.

Class time and room: MWF 11:15 AM - 12:05 PM in ACD 304.

Text:*Linear Algebra and its Applications*, Fourth Edition, by Lay.

The applied linear algebra course covers methods and theory for linear systems of equations and linear operators, from a computational point of view. Topics are shown below.

PDF SYLLABUS

E-mail: jeffrey.connors@uconn.edu

Office: ACD 114C

Office hours: M,W 3:15-4:15 PM, or by appointment (e-mail me). You can always drop in and see if I happen to be available.

Class time and room: MWF 11:15 AM - 12:05 PM in ACD 304.

Text:

The applied linear algebra course covers methods and theory for linear systems of equations and linear operators, from a computational point of view. Topics are shown below.

PDF SYLLABUS

**Homework:**
Homework will be assigned for each section and collected according to the
schedule shown below. Late homework is penalized at rate of 10%
once late, with an **additional** 10% deduction after each full week
that passes after the due date. Example 1: you turn it in the day after it
is due, then there is a 10% deduction for lateness. Example 2: you turn it
in the following Friday, 1 week after it was due. The total penalty is
still just 10%. Example 3: you turn it in more than 7 days (but less than
two weeks) late. Then there is a total 20%
deduction for lateness.

**Calculators:** The use of calculators will not be permitted on exams.
Calculators may be used on homework.

**Grading policy:**
The course grade is 40% homework, 15% exam 1, 15% exam 2 and 30% final exam.

**Final exam:** Wednesday, Dec. 13 from 10:30 AM - 12:30 PM in ACD 304 (usual room). **The exam is cumulative.**

Dates | Book Sections | Topics | Exercises |
---|---|---|---|

Aug. 28-Sept. 1 | 1.1, 1.2 | Systems of linear equations, row reduction, echelon forms | Sect. 1.1 #1, 3, 10, 13, 22, 24 Due Sept. 8 |

Sect. 1.2 #1, 3, 7, 8, 19, 21, 22 Due Sept. 8 | |||

Sept. 4 | --- | Labor Day - no class | |

Sept.6, 8 | 1.3 | Vector equations | Sect. 1.3 #1, 6, 9, 12, 14, 21, 26 Due Sept. 15 |

Sept. 11-15 | 1.4, 1.5, 1.7 | Matrix form, solution sets, linear independence | Sect. 1.4 #6, 7, 9, 12, 22, 24, 25, 40 Due Sept. 22 |

Sect. 1.5 #2, 6, 12, 23 Due Sept. 22 | |||

Sept. 18-22 | 1.7, 1.8, 1.9 | Linear independence and transformations | Sect. 1.7 #1, 6, 8, 9, 15, 20, 22, 33, 34 Due Sept. 29 |

Sect. 1.8 #2, 4, 7, 11, 16, 19, 20 Due Sept. 29 | |||

Sept. 25-29 | 1.9, 1.10, 2.1 | Linear transformations and models, matrix operations | Sect. 1.9 #1, 2, 3, 6, 8, 19, 27 Due Oct. 6 |

Sect. 1.10 #2, 3, 9, 11 Due Oct. 6 | |||

Oct. 2-6 | 2.1, 2.2 | Matrix operations, inverse matrices | Sect. 2.1 #1, 4, 7, 9, 12, 16, 21, 22, 27 Due Oct. 13 |

Oct. 2-6 | Sect. 2.2 #3, 4, 6, 10, 26, 31, 32 Due Oct. 13 | ||

Oct. 9 | 2.3 | Inverse matrices | Sect. 2.3 #2, 4, 8, 12, 15 Due Oct. 20 |

Oct. 11 | --- | Review for Exam 1 | |

Oct. 13 | --- | Exam 1 | |

Oct. 16-20 | 4.1, 4.2 | Vector spaces, connections to linear transformations | Sect. 4.1 #2, 3, 8, 10, 12, 14, 16, 18 Due Oct. 27 |

Sect. 4.2 #1, 3, 5, 16, 18, 22, 24, 26 Due Oct. 27 | |||

Oct. 23-27 | 4.3, 4.4 | Linear independence, bases, coordinate systems | Sect. 4.3 #2, 4, 6, 8, 10, 14, 19, 22 Due Nov. 3 |

Sect. 4.4 #3, 7, 8, 12, 14 Due Nov. 3 | |||

Oct. 30-Nov. 3 | 4.5, 4.6 | Dimension and rank | Sect. 4.5 #4, 6, 8, 14, 16, 20 Due Nov. 10 |

Sect. 4.6 #1, 4, 6, 8, 12, 15, 16, 18 Due Nov. 10 | |||

Nov. 6-10 | 5.1, 5.2 | Eigenvectors, eigenvalues, characteristic equation | Sect. 5.1 #3, 4, 8, 9, 13, 14, 18 Due Nov. 17 |

Sect. 5.2 #2, 4, 14, 16 Due Nov. 17 | |||

Nov. 13 | 5.3 | Diagonalization | Sect. 5.3 #2, 4, 6, 8, 10, 12 Due Dec. 1 |

Nov. 15 | --- | Review for Exam 2 | |

Nov. 17 | --- | Exam 2 | |

Nov. 20-24 | --- | Thanksgiving Break - no class | |

Nov. 27-Dec. 1 | 6.1, 6.2 | Inner products, orthogonality and orthogonal sets | Sect. 6.1 #2, 4, 8, 10, 16, 18, 22 Due Dec. 8 |

Sect. 6.2 #2, 6, 10, 14, 20 Due Dec. 8 | |||

Dec. 4 | 6.4 | Gram-Schmidt process | Sect. 6.4 #2, 6, 10 Due Dec. 8 |

Dec. 6 | 6.4 | finish Gram-Schmidt process, begin Final Exam review | |

Dec. 8 | --- | Review for Final Exam | |

Dec. 13 | --- | Final Exam |