Matrices and Complex Numbers
Undergraduate: Level 4
Thursday 03 October 2019
Saturday 14 December 2019
09 April 2020
Requisites for this module
EC114, MA201, MA204, MA205, MA225, MA301, MA306, MA314, MA315, MA317
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 L1G2 Economics and Mathematics (Including Placement Year),
BSC LG11 Economics and Mathematics,
BSC LG18 Economics and Mathematics (Including Foundation Year),
BSC LG1C Economics and Mathematics (Including Year Abroad),
BSC L1G1 Economics with Mathematics,
BSC L1G3 Economics with Mathematics (Including Placement Year),
BSC L1G8 Economics with Mathematics (Including Foundation Year),
BSC L1GC Economics with Mathematics (Including Year Abroad),
BSC GN13 Finance and Mathematics,
BSC GN15 Finance and Mathematics (Including Placement Year),
BSC GN18 Finance and Mathematics (Including Foundation Year),
BSC GN1H Finance and Mathematics (Including Year Abroad),
BSC G100 Mathematics,
BSC G102 Mathematics (Including Year Abroad),
BSC G103 Mathematics (Including Placement Year),
BSC G104 Mathematics (Including Foundation Year),
BSC 5B43 Statistics (Including Year Abroad),
BSC 9K12 Statistics,
BSC 9K13 Statistics (Including Placement Year),
BSC 9K18 Statistics (Including Foundation Year),
BSC G1G4 Mathematics with Computing (Including Year Abroad),
BSC G1G8 Mathematics with Computing (Including Foundation Year),
BSC G1GK Mathematics with Computing,
BSC G1IK Mathematics with Computing (Including Placement Year),
BSC G1F3 Mathematics with Physics,
BSC G1F4 Mathematics with Physics (Including Placement Year),
BSC GCF3 Mathematics with Physics (Including Year Abroad)
For students outside of the Department, an appropriate A level in Mathematics (or equivalent) is required for this module. If you are unsure whether you meet this criteria please contact firstname.lastname@example.org before attempting to enrol. This module introduces several important mathematical constructions, namely, complex numbers, vectors and matrices, and shows how they are employed in various areas of mathematics and statistics.
The module is taught to first year students on a number of degrees and introduces mathematical constructions which are used in a wide range of applications of mathematics, namely, complex numbers, vectors and matrices.
On completion of the module 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; be able to add, subtract, multiply, and divide complex numbers in Cartesian form; be able to plot complex numbers on an Argand diagram; be able to move between Cartesian and polar forms of complex numbers; be able to calculate arguments, moduli and complex conjugates; be able to multiply and divide complex numbers in polar form; be able to find complex nth roots.
- addition, subtraction, multiplication and division of complex numbers in both Cartesian and polar form
- de Moivre's theorem
- complex nth roots
- Geometry and algebra of vectors in 2 & 3 dimensions
- vector addition and scalar multiplication
- matrix addition and 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
This module consists of one lecture and two labs per week. There are three revision lectures in the summer term.
This module does not appear to have any essential texts. To see non-essential items, please refer to the module's reading list.
Assessment items, weightings and deadlines
|Coursework / exam
||1440 minutes during Summer (Main Period) (Main)
Module supervisor and teaching staff
Dr Alexei Vernitski, email: email@example.com.
Dr Alexei Vernitski, email firstname.lastname@example.org, Dr Jessica Claridge
Dr Alexei Vernitski (email@example.com)
No external examiner information available for this module.
Available via Moodle
Of 56 hours, 10 (17.9%) hours available to students:
46 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).
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