Lecture schedule:

Date |
Topic |
Reading to prepare for class |
Suggested practice problems |
Lecture Notes |

Thurs, Jan 4 | Linear systems + introduction to row reduction | Section 1.1 | 1.1 exercises 11-14, 15, 17, 19, 23 | Scanned Notes |

Tues, Jan 9 | Row reduction, vector equations | Sections 1.2+1.3 | 1.2 exercises 1, 3, 5, 7-11, 13, 15, 17, 21, 23 1.3 exercises 1-4, 7, 11, 17, 23 |
Scanned Notes |

Thurs, Jan 11 | Vector equations and matrix equations | Section 1.4 | 1.4 exercises 1-4, 9, 10, 11, 12, 21, 22, 23, 24 | Scanned Notes |

Tues, Jan 16 | Solution sets of linear systems | Section 1.5 | 1.5 exercises 7-10, 13, 14, 15, 23, 24, 26, 27, 28-31, 32, 33 | |

Thurs, Jan 18 | Applications of Linear Systems | Section 1.6 | 1.6 exercises 1-4, 12-15 (the parts marked with an [M] are intended to be done with a calculator / math software and are optional). |

Homework schedule:

- WebWork assignment 1: Due Wednesday January 17 (posted Wednesday January 10)

The sections listed above are for the textbook for the course, the third custom UBC edition of

- 1.1 Systems of linear equations

- 1.2 Row reduction and echelon forms

- 1.3 Vector equations

- 1.4 The matrix equation Ax = b

- 1.5 Solution sets of linear equations

- 1.6 Applications of linear systems (skip chemical equations)

- 1.7 Linear independence

- 1.8 Introduction to linear transformations

- 1.9 The matrix of a linear transformation

- 2.1 Matrix operations

- 2.2 The inverse of a matrix (skip elementary matrices)

- 2.3 Characterizations of invertible matrices

- 2.5 Subspaces of Rn

- 2.6 Dimension and rank

- 3.1 Introduction to determinants

- 3.2 Properties of determinants

- 4.1 Eigenvectors and eigenvalues

- 4.2 The characteristic equation

- 4.3 Diagonalization

- 4.4 Eigenvectors and linear transformations

- 4.6 Discrete dynamical systems

- 5.1 Inner product, length, and orthogonality

- 5.2 Orthogonal sets

- 5.3 Orthogonal projections

- 5.5 Least-square problems