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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. Also, video-chat sessions may be possible.

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

Text:*Linear Algebra and its Applications*, Fifth Edition, by Lay, Lay and McDonald. NOTE: students may also use the Fourth Edition.

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. Also, video-chat sessions may be possible.

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 lecture and collected each
Wednesday of the following week. Late homework is penalized at rate of 10%
once late, with an **additional** 10% deduction for 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 Wednesday, 1 week after it was due. 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:** The final exam is scheduled for Wednesday, Dec. 14 from 10:30 AM - 12:30 PM in ACD 304. **The exam is cumulative.**

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

Aug. 29-Sept. 2 | 1.1, 1.2 | Systems of linear equations, row reduction, echelon forms | Sect. 1.1 #1, 3, 10, 13, 22, 24 |

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

Sept. 5 | --- | Labor Day - no class | |

Sept.7, 9 | 1.3, 1.4 | Vector equations, matrix form | Sect. 1.3 #1, 6, 9, 12, 14, 21, 26 |

Sect. 1.4 #6, 7, 9, 12, 22, 24, 25, 40 | |||

Sept. 12-16 | 1.5, 1.7 | Solution sets, linear independence | Sect. 1.5 #2, 6, 12, 23 |

Sect. 1.7 #1, 6, 8, 9, 15, 20, 22, 33, 34 | |||

Sept. 19-23 | 1.8, 1.9 | Linear transformations | Sect. 1.8 #2, 4, 7, 11, 16, 19, 20 |

Sect. 1.9 #1, 2, 3, 6, 8, 19, 27 | |||

Sept. 26-30 | 1.10, 2.1 | Linear models, matrix operations | Sect. 1.10 #2, 3, 9, 11 |

Sect. 2.1 #1, 4, 7, 9, 12, 16, 21, 22, 27 | |||

Oct. 3-7 | 2.2, 2.3 | Inverse matrices | Sect. 2.2 #3, 4, 6, 10, 26, 31, 32 |

Oct. 3-7 | Sect. 2.3 #2, 4, 8, 12, 15 | ||

Oct. 10 | --- | Review for Exam 1 | |

Oct. 12 | --- | Exam 1 | |

Oct. 14 | 3.1 | Determinants | Sect. 3.1 #2, 10, 12 |

Oct. 17-21 | 4.1, 4.2 | Vector spaces, connections to linear transformations | Sect. 4.1 #2, 3, 8, 10, 12, 14, 16, 18 |

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

Oct. 24-28 | 4.3, 4.4 | Linear independence, bases, coordinate systems | Sect. 4.3 #2, 4, 6, 8, 10, 14, 19, 22 |

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

Oct. 31-Nov. 4 | 4.5, 4.6 | Dimension and rank | Sect. 4.5 #4, 6, 8, 14, 16, 20 |

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

Nov. 7-11 | 5.1, 5.2 | Eigenvectors, eigenvalues, characteristic equation | Sect. 5.1 #3, 4, 8, 9, 13, 14, 18 |

Sect. 5.2 #2, 4, 14, 16 | |||

Nov. 14 | 5.3 | Diagonalization | Sect. 5.3 #2, 4, 6, 8, 10, 12 |

Nov. 16 | --- | Review for Exam 2 | |

Nov. 18 | --- | Exam 2 | |

Nov. 21-25 | --- | Thanksgiving Break - no class | |

Nov. 28-Dec. 2 | 6.1, 6.2 | Inner products, orthogonality and orthogonal sets | Sect. 6.1 #2, 4, 8, 10, 16, 18, 22 |

Sect. 6.2 #2, 6, 10, 14, 20 | |||

Dec. 5 | 6.4 | Gram-Schmidt process | Sect. 6.4 #2, 6, 10 |

Dec. 7 | 6.4 | finish Gram-Schmidt process, begin Final Exam review | |

Dec. 9 | --- | Review for Final Exam |