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MA10209: Algebra 1A

[Page last updated: 20 April 2021]

Academic Year: 2021/2
Owning Department/School: Department of Mathematical Sciences
Credits: 6      [equivalent to 12 CATS credits]
Notional Study Hours: 120
Level: Certificate (FHEQ level 4)
Period:
Semester 1
Assessment Summary: EX 100%
Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Requisites:
Aims: To provide a firm grounding in the fundamental objects of mathematics such as sets, functions, numbers, polynomials and matrices. To give an introduction to linear algebra in concrete terms.

Learning Outcomes: After taking this unit the students should be able to:
* Demonstrate understanding of the elementary concepts of geometry and algebra.
* Construct correct logical proofs of theorems about these concepts.
* Perform computations with numbers, polynomials and matrices, including the solution of systems of linear equations.
* Apply elementary abstract ideas in specific examples.

Skills: Numeracy T/F A
Problem Solving T/F A
Written and Spoken Communication F (in tutorials)

Content: Sets and functions: constructions and properties, cardinality.
Equivalence relations and partitions.
Permutations: cycle notation and sign, the symmetric group.
Numbers (natural, integer, rational, real, complex); algebraic properties as rings and fields.
Primes, factorisation and Euclid's algorithm;� modular arithmetic.
The complex plane: complex exponentials, roots of unity.
Polynomials: division with remainder, coprime polynomials
Matrices with real coefficients: matrix algebra, linear transformations, 2-by-2 and 3-by-3 determinants, geometric interpretation
Systems of linear equations: matrix representation, row operations and row echelon form

Programme availability:
NB. Postgraduate programme information will be added when the postgraduate catalogues are published in August 2021

MA10209 is Compulsory on the following programmes:

Department of Computer Science
  • USCM-AFB20 : BSc(Hons) Computer Science and Mathematics (Year 1)
  • USCM-AAB20 : BSc(Hons) Computer Science and Mathematics with Study year abroad (Year 1)
  • USCM-AKB20 : BSc(Hons) Computer Science and Mathematics with Year long work placement (Year 1)
  • USCM-AFM14 : MComp(Hons) Computer Science and Mathematics (Year 1)
  • USCM-AAM14 : MComp(Hons) Computer Science and Mathematics with Study year abroad (Year 1)
  • USCM-AKM14 : MComp(Hons) Computer Science and Mathematics with Year long work placement (Year 1)
Department of Economics
  • UHES-AFB04 : BSc(Hons) Economics and Mathematics (Year 1)
  • UHES-AAB04 : BSc(Hons) Economics and Mathematics with Study year abroad (Year 1)
  • UHES-AKB04 : BSc(Hons) Economics and Mathematics with Year long work placement (Year 1)
  • UHES-ACB04 : BSc(Hons) Economics and Mathematics with Combined Placement and Study Abroad (Year 1)
Department of Mathematical Sciences
  • USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 1)
  • USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 1)
  • USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 1)
  • USMA-AFB13 : BSc(Hons) Mathematics (Year 1)
  • USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 1)
  • USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 1)
  • USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 1)
  • USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 1)
  • USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 1)
  • USMA-AFB20 : BSc(Hons) Mathematics, Statistics, and Data Science (Year 1)
  • USMA-AAB20 : BSc(Hons) Mathematics, Statistics, and Data Science with Study year abroad (Year 1)
  • USMA-AKB20 : BSc(Hons) Mathematics, Statistics, and Data Science with Industrial Placement (Year 1)
  • USMA-AFM14 : MMath(Hons) Mathematics (Year 1)
  • USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 1)
  • USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 1)
Department of Physics
  • USXX-AFB03 : BSc(Hons) Mathematics and Physics (Year 1)
  • USXX-AAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 1)
  • USXX-AKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 1)
  • USXX-AFM01 : MSci(Hons) Mathematics and Physics (Year 1)
  • USXX-AAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 1)
  • USXX-AKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 1)

Notes:

  • This unit catalogue is applicable for the 2021/22 academic year only. Students continuing their studies into 2022/23 and beyond should not assume that this unit will be available in future years in the format displayed here for 2021/22.
  • Programmes and units are subject to change in accordance with normal University procedures.
  • Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
  • Find out more about these and other important University terms and conditions here.