MA201-5-AU-CO:
Linear Algebra
2016/17
Mathematics, Statistics and Actuarial Science (School of)
Colchester Campus
Autumn
Undergraduate: Level 5
Current
15
12 February 2010
Requisites for this module
MA114
(none)
(none)
(none)
MA323
BSC G100 Mathematics,
BSC G102 Mathematics (Including Year Abroad),
BSC G103 Mathematics (Including Placement Year),
BSC G104 Mathematics (Including Foundation Year),
BSC G1F3 Mathematics with Physics,
BSC G1F4 Mathematics with Physics (Including Placement Year),
BSC GCF3 Mathematics with Physics (Including Year Abroad)
This course gives an introduction to abstract linear algebra.
Syllabus
- An abstract definition and examples of vector spaces
- Subspaces, spans and related results
- Linearly dependent and linearly independent sets and related results
- Bases, dimension and related results
- Linear mappings, the image and the kernel, and related results
- Coordinates of vectors, matrices of linear mappings, change of basis
- The concept of the rank of a matrix and of a linear mapping
- Eigenvectors of linear transformations
On completion of the course students should be able to:
- Read and understand advanced abstract mathematical definitions in textbooks and other sources
- Prove simple properties of linear spaces from axioms
- Check whether a set of vectors is a basis
- Check whether a mapping is a linear mapping
- Check whether a linear mapping is onto and whether it is one-to-one
- Find a matrix of a linear mapping
- Change a basis and recalculate the coordinates of vectors and the matrices of mappings
No information available.
No information available.
Available to Socrates /IP students spending all relevant terms at Essex.
The course runs at 3 hours per week in the Autumn term.
In the Summer term 3 revision lectures are given.
Assessment items, weightings and deadlines
| Coursework / exam |
Description |
Deadline |
Coursework weighting |
| Coursework |
Mini-test 1 |
|
3.3333% |
| Coursework |
Mini-test 2 |
|
3.3333% |
| Coursework |
Mini-test 3 |
|
3.3333% |
| Coursework |
Mini-test 4 |
|
3.3333% |
| Coursework |
Mini-test 5 |
|
3.3333% |
| Coursework |
Mini-test 6 |
|
3.3333% |
| Coursework |
Mini-test 7 |
|
3.3333% |
| Coursework |
Mini-test 8 |
|
3.3333% |
| Coursework |
Mini-test 9 |
|
3.3333% |
| Coursework |
Mini-test 10 |
|
3.3333% |
| Coursework |
Test |
|
66.667% |
| Exam |
Main exam: 120 minutes during Summer (Main Period)
|
Additional coursework information
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 format definitions
- Remote, open book: Your exam will take place remotely via an online learning platform. You may refer to any physical or electronic materials during the exam.
- In-person, open book: Your exam will take place on campus under invigilation. You may refer to any physical materials such as paper study notes or a textbook during the exam. Electronic devices may not be used in the exam.
- In-person, open book (restricted): The exam will take place on campus under invigilation. You may refer only to specific physical materials such as a named textbook during the exam. Permitted materials will be specified by your department. Electronic devices may not be used in the exam.
- In-person, closed book: The exam will take place on campus under invigilation. You may not refer to any physical materials or electronic devices during the exam. There may be times when a paper dictionary,
for example, may be permitted in an otherwise closed book exam. Any exceptions will be specified by your department.
Your department will provide further guidance before your exams.
Overall assessment
Reassessment
Module supervisor and teaching staff
Dr Alexei Vernitski, email: asvern@essex.ac.uk, tel 01206 873024
Miss Claire Watts, Department Manager, Tel. 01206 873040, email cmwatts@essex.ac.uk
Yes
Yes
No
No external examiner information available for this module.
Available via Moodle
Of 35 hours, 33 (94.3%) hours available to students:
2 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).
Disclaimer: The University makes every effort to ensure that this information on its Module Directory is accurate and up-to-date. Exceptionally it can
be necessary to make changes, for example to programmes, modules, facilities or fees. Examples of such reasons might include a change of law or regulatory requirements,
industrial action, lack of demand, departure of key personnel, change in government policy, or withdrawal/reduction of funding. Changes to modules may for example consist
of variations to the content and method of delivery or assessment of modules and other services, to discontinue modules and other services and to merge or combine modules.
The University will endeavour to keep such changes to a minimum, and will also keep students informed appropriately by updating our programme specifications and module directory.
The full Procedures, Rules and Regulations of the University governing how it operates are set out in the Charter, Statutes and Ordinances and in the University Regulations, Policy and Procedures.