Prerequisite: MATH 254 and 352, passed with grade C -- or better, (or consent of the instructor)

Textbook (required): S. Axler, Linear Algebra Done Right, 2th ed, Springer, 2001.

• Goals and Objectives of the Course: This is a second course in linear algebra aimed at math major as well as interested physics and engineering students. The methods and concepts developed in this course are essential tools in both pure and applied mathematics as well as modern theoretical physics. This course focuses on abstract vector spaces and linear operators and covers the following material: linear independence, span, basis, dimension, null space, eigenvalues, eigenvectors, inner product spaces, orthonormal bases, adjoints, orthogonal projections, spectral theorem and others. The first eight chapters of the textbook will be covered.
• Class Procedures: The majority of each class period will be lecture oriented. You are expected to attend the lectures, take your own lecture notes, read the textbook and do the homework problems.
• Course Requirements: There will be weekly homework assignments and two takehome tests. A significant part of the grade will depend on the homework and class participation.
• Attendance Requirements: Regular attendance is expected. You are responsible for all material covered in this class as well as material from the textbook which is assigned but not covered in class.
• Changes: The course plan may be modified during the semester. Such modifications will be announced during class periods. You are responsible for keeping abreast of such changes.