MATHEMATICS 355
ADVANCED LINEAR ALGEBRA, SPRING 2009
Textbook:
Linear Algebra
by Friedberg, Insel, Spence, 4th edition
Weekly schedule:
MTThF 10:30  11:20 am
Instructor:
Chris Moseley, NH 286
Email:
[email protected]
Office hours:
12:30  1:20 pm, M  F, or by appointment
Website:
www.calvin.edu/~cgm3
What this course is about:
linear algebra is the study of
vector spaces
and mappings be
tween vector spaces (
linear transformations
). This course is designed for students of math
ematics and other disciplines who need a rigorous foundation in linear algebra. It assumes
that students are already familiar with the elementary tools and ideas of linear algebra such
as matrix multiplication, the rank and nullspace of a matrix, eigenvectors and eigenvalues,
to name a few (see
Prerequisites
). The assigned problems in this course will usually go
beyond mere computational exercises and will often involve proving mathematical proposi
tions.
Prerequisites:
the standard prerequisites for this course are Mathematics 256, or Mathemat
ics 232, or both Mathematics 231 and 261. Exceptions may be granted by the instructor,
but all students should be familiar with the elementary ideas and tools of linear algebra
that are covered in these courses.
List of topics:
(tentative)
1.1 Introduction
1.2 Vector Spaces
1.3 Subspaces
1.4 Linear Combinations and Systems of Equations
1.5 Linear Dependence and Linear Independence
1.6 Bases and Dimension
2.1 Linear Transformations, Null Spaces, and Ranges
2.2 The Matrix Representation of a Linear Transformation
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 Spring '09
 J.Stewart
 Math, Linear Algebra, Algebra, Vector Space, Linear Transformation Composition of Linear Transformations

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