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).