Text: David C. Lay, **Linear Algebra and its Applications**

Professor: F. Dias, 201C Stratton, X5069, E-mail - fdias

Office Hours: MTThF 11-12, or by appointment

Web page:

`http://www.math.wpi.edu/Course_Materials/MA2071AC05/`

PLA: Jessica Clark (jclark)

- Learn to solve linear systems
- Learn how to apply linear systems to problems from various disciplines
- Learn the basic properties of vector spaces

Linear algebra is an essential part of the mathematics, science and engineering disciplines. The material in this course will be very important in your future studies.

**Homework**

The homework assignments will be given on class and listed on the course web page. Completing these exercises is essential to your mastery of the material. Homework will be collected each week in conference and graded. Late homework will not be accepted without prior arrangement with the instructor. Homework scores will count as 15% of your final grade.**Exam**

There will be two hour exams during the term. Each will count 25% of your final grade. Dates are January 28 and February 11. There will also be a comprehensive final exam in the last week of the course, probably on Wednesday. This exam will count as 35% of your final grade.

**Week 1**- Linear equations and matrices

Secs. 1.1-1.5 **Week 2**- More on linear systems, linear transformations

Secs. 1.6-1.9 **Week 3**- Inverse of a matrix, LU factorization, determinants

Secs. 2.1-2.5, 3.1-3.2 **Week 4**- Vector spaces

Secs. 4.1-4.4 **Week 5**- More on vector spaces

Secs. 4.5-4.8 **Week 6**- Eigenvalues and eigenvectors

Secs. 5.1-5.3 **Week 7**- Complex eigenvalues, iterative estimates for eigenvalues

Secs. 5.4, 5.5, 5.7, 5.8