Further linear algebra (half course)

Описание мероприятия

Описание программы

In MT1173 Algebra, students have met many of the key concepts of linear algebra. In this course, we study further theoretical material and look at additional applications of linear algebra.

This half course is designed to:

• enable students to acquire further skills in the techniques of linear algebra, as well as understanding of the principles underlying the subject
• prepare students for further courses in mathematics and/or related disciplines (e.g. economics, actuarial science).

Assessment

This half course is assessed by a two-hour unseen written examination.

Учебный план:

Topics covered are:

• Diagonalisation and Jordan normal form, applied to systems of differential equations.
• Inner products, orthogonality, quadratic forms, and orthogonal diagonalisation.
• Direct sums and projections, with applications to least squares.
• Generalized inverses. Complex numbers.
• Complex matrices and vector spaces.
• Hermitian and unitary matrices, unitary diagonalisation and spectral decomposition

Результат обучения:

At the end of this half course and having completed the essential reading and activities students should have:

• knowledge of the concepts, terminology, techniques and conventions covered in the half course.
• The ability to demonstrate an understanding of the underlying principles of the subject.
• The ability to demonstrate the ability to solve unseen mathematical problems involving an understanding of the concepts.

Требования к поступающим:

If taken as part of a BSc degree, courses which must be passed before this half course may be attempted:

• MT1173 Algebra

Exclusion

This half course may not be taken with MT3095 Further mathematics for economists.