# Matrices and linear transformations

## Fall 2017

## 21-241

Instructor: Joseph Zielinski

Office: Wean Hall 7101

Office hours: F 3:00pm-5:00pm or by appointment

Class times: MWF 12:30pm-1:20pm

Class location: Doherty Hall 1112

### Course description

A first course in linear algebra intended for scientists, engineers, mathematicians and computer scientists. Students will be required to write some straightforward proofs. Topics to be covered: complex numbers, real and complex vectors and matrices, rowspace and columnspace of a matrix, rank and nullity, solving linear systems by row reduction of a matrix, inverse matrices and determinants, change of basis, linear transformations, inner product of vectors, orthonormal bases and the Gram-Schmidt process, eigenvectors and eigenvalues, diagonalization of a matrix, symmetric and orthogonal matrices. 21-127 is strongly recommended.

### Required text

*Linear Algebra, A Modern Introduction, Fourth edition* by David Poole.

### Course policies

#### Academic integrity

Students are encouraged to work with one another on the homework problems, and are free to consult other textbooks to further their understanding of the material. However, the work that is submitted for credit must be completed by the student alone, in their own words. For any exams given in take-home format, the material may not be discussed with anyone and no references other than the primary course textbook may be consulted.

#### Classroom technology

I ask that you turn off your mobile devices and close your laptops during class.

#### Late assignments and missed exams

It is unlikely that I will accept a late assignment or allow a missed exam to be made up. Exceptions may be made for serious circumstances with ample forewarning, or for severe circumstances.

#### Changes to the syllabus

This syllabus is subject to change. Please consult this webpage regularly for the most current version.