Dr. Liubomir Chiriac, 1115J LGRT (email: mylastname [at] math [dot] umass [dot] edu).

Fri 3-4, or by appointment.

Grades will be assigned to course percentages according to the following scale:

90-100 |
86-89 |
82-85 |
76-81 |
72-75 |
68-71 |
62-67 |
58-61 |
54-57 |
48-53 |
0-47 |
---|---|---|---|---|---|---|---|---|---|---|

A |
A- |
B+ |
B |
B- |
C+ |
C |
C- |
D+ |
D |
F |

Past exams are available here.

If you have a documented conflict for one of the exams, in order to take the make-up exam you must give the course chair Rob Kusner profkusner@gmail.com (and me) at least one weeks' written notice for a midterm exam and at least two weeks' written notice for the final exam. Make-up exams will not be given to accommodate travel plans.

**Midterm 1** - Thursday 2/28/19, 7-9PM, at the following locations:

Covered material: Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.7, 1.8, 1.9, 2.1, 2.2, 2.3.

Covered material: Sections 3.1, 3.2, 3.3, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6.

Covered material: Sections 4.5, 4.6, 5.1, 5.2, 5.3, 6.1, 6.2.

This is an introductory course on linear algebra, covering systems of linear equations, matrices, linear transformations, determinants, vector spaces, eigenvalues and eigenvectors, and orthogonality.

The schedule below gives the topics from the course text to be covered each week. (This is only a guideline, and may be modified throughout the term.)

1/21-1/25: 1.1 Systems of linear equations; 1.2 Row reduction and echelon forms; 1.3 Vector equations.

1/28-2/01: 1.4 The matrix equation AX=B; 1.5 Solution sets of linear systems.

2/04-2/08: 1.7 Linear independence; 1.8 Introduction to linear maps.

2/11-2/15: 1.9 The matrix of a linear map; 2.1 Matrix operations.

2/18-2/22: 2.2 The inverse of a matrix; 2.3 Characterizations of invertible matrices.

2/25-3/01: 3.1 Introduction to determinants; 3.2 Properties of determinants.

3/04-3/08: 3.3 Cramer's rule, volume and linear maps; 4.1 Vector spaces and subspaces.

3/11-3/15:

3/18-3/22: 4.2 Null space (kernel), column space (image) and linear maps; 4.3 Linearly independent sets and bases.

3/25-3/29: 4.4 Coordinate systems; 4.5 The dimension of a vector space.

4/01-4/06: 4.6 Rank; 5.1 Eigenvectors, eigenvalues and eigenspaces.

4/08-4/12: Midterm Review & 5.2 The characteristic equation.

4/15-4/19: 5.3 Diagonalization.

4/22-4/26: 6.1 Inner product, Length and orthogonality; 6.2 Orthogonal sets.

4/29-5/03: Final Review.