MA10210: Algebra 1B
[Page last updated: 13 August 2020]
Academic Year:  2020/1 
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 2

Assessment Summary:  EX 100% 
Supplementary Assessment: 
 Likeforlike reassessment (where allowed by programme regulations)

Requisites: 
Before taking this module you must take MA10209
While taking this module you must take MA10207

Description:  Aims: To provide a firm grounding in linear algebra, both practically via matrices and abstractly via vector spaces and linear maps.
Learning Outcomes: After taking this unit the students should be able to:
* Demonstrate understanding of abstract concepts of elementary linear algebra, (e.g. linear independence, dimension) and apply abstract ideas in specific examples.
* Solve systems of linear equations.
* Compute determinants, matrix inverses, eigenvalues and eigenvectors.
Skills: Numeracy T/F A
Problem Solving T/F A
Written and Spoken Communication F (in tutorials).
Content: Systems of linear equations: matrix representation, row echelon form. Linear algebra and geometry in R2 and R3. Matrices as linear maps. Axiomatic development of vector spaces. Linear maps and subspaces, kernel and image. Linear independence and bases.
Linear maps as matrices, change of basis, similar matrices.
Dimension, rank, nullity. RankNullity theorem.
Determinants: definition, properties and computation. Adjugate and inverse formula. Invertibility of matrices. Cramer's rule.
Eigenvalues, eigenvectors and eigenspaces. Characteristic polynomial.
Algebraic and geometric multiplicities. Diagonalisation. 
Programme availability: 
MA10210 is Compulsory on the following programmes:
Department of Computer Science
 USCMAFB20 : BSc(Hons) Computer Science and Mathematics (Year 1)
 USCMAAB20 : BSc(Hons) Computer Science and Mathematics with Study year abroad (Year 1)
 USCMAKB20 : BSc(Hons) Computer Science and Mathematics with Year long work placement (Year 1)
 USCMAFM14 : MComp(Hons) Computer Science and Mathematics (Year 1)
 USCMAAM14 : MComp(Hons) Computer Science and Mathematics with Study year abroad (Year 1)
 USCMAKM14 : MComp(Hons) Computer Science and Mathematics with Year long work placement (Year 1)
Department of Economics
 UHESAFB04 : BSc(Hons) Economics and Mathematics (Year 1)
 UHESAAB04 : BSc(Hons) Economics and Mathematics with Study year abroad (Year 1)
 UHESAKB04 : BSc(Hons) Economics and Mathematics with Year long work placement (Year 1)
 UHESACB04 : BSc(Hons) Economics and Mathematics with Combined Placement and Study Abroad (Year 1)
Department of Mathematical Sciences
 USMAAFB15 : BSc(Hons) Mathematical Sciences (Year 1)
 USMAAAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 1)
 USMAAKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 1)
 USMAAFB13 : BSc(Hons) Mathematics (Year 1)
 USMAAAB14 : BSc(Hons) Mathematics with Study year abroad (Year 1)
 USMAAKB14 : BSc(Hons) Mathematics with Year long work placement (Year 1)
 USMAAFB01 : BSc(Hons) Mathematics and Statistics (Year 1)
 USMAAAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 1)
 USMAAKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 1)
 USMAAFB05 : BSc(Hons) Statistics (Year 1)
 USMAAAB06 : BSc(Hons) Statistics with Study year abroad (Year 1)
 USMAAKB06 : BSc(Hons) Statistics with Year long work placement (Year 1)
 USMAAFM14 : MMath(Hons) Mathematics (Year 1)
 USMAAAM15 : MMath(Hons) Mathematics with Study year abroad (Year 1)
 USMAAKM15 : MMath(Hons) Mathematics with Year long work placement (Year 1)
Department of Physics
 USXXAFB03 : BSc(Hons) Mathematics and Physics (Year 1)
 USXXAAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 1)
 USXXAKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 1)
 USXXAFM01 : MSci(Hons) Mathematics and Physics (Year 1)
 USXXAAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 1)
 USXXAKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 1)
