MATH 211(F,S) Linear Algebra (Q)
Many social, political, economic, biological, and physical phenomena can be described, at least approximately, by linear relations. In the study of systems of linear equations one may ask: When does a solution exist? When is it unique? How does one find it? How can one interpret it geometrically? This course develops the theoretical structure underlying answers to these and other questions and includes the study of matrices, vector spaces, linear independence and bases, linear transformations, determinants and inner products. Course work is balanced between theoretical and computational, with attention to improving mathematical style and sophistication.
Format: lecture. Evaluation will be based primarily on homework and exams.
Prerequisites: Mathematics 105 or 209 or 210 or 251, or Statistics 201. No enrollment limit (expected: 35).
Hour: First Semester: DEVADOSS
Semester: SILVA
Not offered 2007-2008
MATH 211T Mathematical Reasoning and Linear Algebra (Q)
This tutorial aims to develop students' problem-solving and proof-writing techniques in mathematics through the use of linear algebra. It is also an introduction to linear algebra,
with an emphasis on its conceptual development and the beauty of its mathematical
structure. There will be weekly assignments requiring clearly written proofs of theorems and
facts in linear algebra, and expecting the level of independent study of a tutorial. The topics
to be covered are matrices, vector spaces, linear independence, linear transformations,
orthonormal bases, inner product spaces, and some applications such as fractals and linear
regression.
Note: This course fulfills the same requirements as Mathematics 211 but credit will not be
given for both Mathematics 211T and Mathematics 211.
Format: tutorial. Evaluation will be based on presentations, problem assignments and exams.
Prerequisites: Mathematics 105 or 251 or equivalent; permission of instructor is required for
all students. Enrollment limit:10 (expected: 10).
SILVA