MA114-4-AU: LINEAR MATHEMATICS
Year: 2013/14
Department: Mathematical Sciences
Essex credit: 15
ECTS credit: 7.5
Available to year(s) of study:
Available to Study Abroad / Exchange Students: Yes
| Module is taught during the following terms |
| Autumn |  | Spring |  | Summer | |
Module Description
This course introduces students to the basics of linear algebra, emphasising vectors and matrices.
Syllabus
Vectors:
- Geometry and algebra of R2 and R3;
- vector addition and scalar multiplication.
Matrices:
- 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 & 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.
Assessment
25 per cent Coursework Mark, 75 per cent Exam Mark
Other details:
Information about coursework deadlines can be found in the "Coursework Information" section of the Current Students, Useful Information Maths web pages: Coursework Information
Exam Duration and Period
1:30 hour exam during Summer Examination period.
Other information
'A' level Maths or equivalent normally required. Available independently to Socrates/IP students spending all relevant terms at Essex.
Bibliography
- Main Text:
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H. Anton, "Elementary Linear Algebra", Wiley
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Supplementary text:
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E. Swokowski, M. Olinick & D.Pence, (1994) "Calculus", 6th Edition, PWS Publishing Co.
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Palgrave Macmillan: Guide Mathematical Methods 9780333794449 J. Gilbert; C. Jordan
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