MA114-4-AU-CO:
Linear Mathematics

The details
2015/16
Mathematics, Statistics and Actuarial Science (School of)
Colchester Campus
Autumn
Undergraduate: Level 4
Current
15
-

 

Requisites for this module
(none)
(none)
(none)
EC114

 

MA201, MA205, MA225, MA306, MA311, MA314, MA315, MA317

Key module for

BSC N233 Actuarial Science (Including Placement Year),
BSC N323 Actuarial Science,
BSC N324 Actuarial Science (Including Year Abroad),
BSC N325 Actuarial Science (Including Foundation Year),
BSC LG11 Economics and Mathematics,
BSC LG1C Economics and Mathematics (Including Year Abroad),
BSC L1G1 Economics with Mathematics,
BSC L1GC Economics with Mathematics (Including Year Abroad),
BSC GN13 Finance and Mathematics,
BSC GN1H Finance and Mathematics (Including Year Abroad),
BSC G100 Mathematics,
BSC G102 Mathematics (Including Year Abroad),
BSC G103 Mathematics (Including Placement Year),
BSC 5B43 Statistics (Including Year Abroad),
BSC 9K12 Statistics,
BSC 9K13 Statistics (Including Placement Year),
BSC G1G4 Mathematics with Computing (Including Year Abroad),
BSC G1GK Mathematics with Computing,
BSC G1IK Mathematics with Computing (Including Placement Year),
BSC G1F3 Mathematics with Physics,
BSC GCF3 Mathematics with Physics (Including Year Abroad),
BSC I1G3 Data Science and Analytics,
BSC I1GB Data Science and Analytics (Including Placement Year),
BSC I1GC Data Science and Analytics (Including Year Abroad),
BSC I1GF Data Science and Analytics (Including Foundation Year)

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.

Module aims

No information available.

Module learning outcomes

No information available.

Module information

'A' level Maths or equivalent normally required. Available independently to Socrates/IP students spending all relevant terms at Essex.

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.

Bibliography

(none)

Assessment items, weightings and deadlines

Coursework / exam Description Deadline Coursework weighting
Coursework   Maple TA Assignment 1     5% 
Coursework   Maple TA Assignment 2     5% 
Coursework   Maple TA Assignment 3     5% 
Coursework   Maple TA Assignment 4    5% 
Coursework   Maple TA Assignment 5    5% 
Coursework   Maple TA Assignment 6    5% 
Coursework   Maple TA Assignment 7    5% 
Coursework   Maple TA Assignment 8    5% 
Written Exam  Test    60% 
Exam  Main exam: 90 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

Coursework Exam
25% 75%

Reassessment

Coursework Exam
0% 0%
Module supervisor and teaching staff
Dr Vanni Noferini, email: vnofer@essex.ac.uk
Miss Claire Watts, Departmental Administrator, Tel. 01206 873040, email cmwatts@essex.ac.uk

 

Availability
Yes
No
No

External examiner

No external examiner information available for this module.
Resources
Available via Moodle
No lecture recording information available for this module.

 

Further information

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