MA114-4-AU: LINEAR MATHEMATICS
Department: Mathematical Sciences
Essex credit: 15
ECTS credit: 7.5
Available to year(s) of study:
Available to Study Abroad / Exchange Students: Yes Full Year Module Available to Study Abroad / Exchange Students for a Single Term: No
|Module is taught during the following terms
This course introduces students to the basics of linear algebra, emphasising vectors and matrices.
- Geometry and algebra of R2 and R3;
- vector addition and scalar multiplication.
- matrix addition and multiplication, scalar multiplication;
- systems of linear equations;
- Gaussian elimination, elementary row operations;
- identity and inverse matrices, determinants;
- eigenvalues and eigenvectors;
- diagonalization of symmetric matrices;
- applications to quadratic forms in two and three dimensions.
On completion of the course students should be able to:
- understand the geometric and algebraic properties of vectors in two- and three-dimensional Euclidean space;
- perform simple operations on matrices;
- solve systems of linear equations using row operations;
- calculate the determinant and the inverse of a matrix;
- calculate the eigenvalues and eigenvectors of a matrix;
- diagonalize a symmetric matrix;
- understand the basics of conic sections.
Learning and Teaching Methods
This course consists of 2 lectures and 1 class per week. There is a test at the end of term. There are three revision lectures in the Summer term.
25 per cent Coursework Mark, 75 per cent Exam Mark
Information about coursework deadlines can be found in the "Coursework Information" section of the Current Students, Useful Information Maths web pages: Coursework and Test Information
Exam Duration and Period
1:30 hour exam during Summer Examination period.
'A' level Maths or equivalent normally required. Available independently to Socrates/IP students spending all relevant terms at Essex.
- Background reading:
H. Anton, Elementary Linear Algebra, Wiley.