Algebra

Cod y Modiwl
MA10510
Teitl y Modiwl
Algebra
Blwyddyn Academaidd
2027/2028
Semester
Semester 1
Cyd-gysylltydd y Modiwl
Dr Gwion Evans
Rhestr Ddarllen
Gweld ar Aspire
Rhagofynion

A-level Mathematics or equivalent.
Cyd-Ofynion
MP10610 neu MT10610
Anghymharus (Unrhyw Flwyddyn Acad)
MT10510
Staff Eraill sy'n Cyfrannu
Dr Kim Kenobi
Dr Alexander Pitchford
Dr Gwion Evans
Dr Adil Mughal
Professor Simon Cox
Dr Adam Vellender
Dr Jukka Kiukas
Dr Robert Douglas

Dulliau Asesu

Math o Asesiad

Manylion Asesiad

Cyfran
Asesiad Semester Coursework: Mark based on engagement, participation and submitted assignments 20%
Arholiad Semester Written Examination: 2 Awr 80%
Asesiad Ailsefyll Blackboard Test: 20%
Arholiad Ailsefyll Supplementary Exam: 2 Awr 80%

Canlyniadau Dysgu

Wedi cwblhau'r modiwl dylai'r myfyrwyr fedru:

  1. Use the notation for sets and mappings
  2. Construct proofs using the Principle of Mathematical Induction
  3. Apply the Binominal Theorem for an integer exponent in various situations
  4. Obtain the sums of arithmetic and geometric series
  5. Manipulate complex numbers and use DeMoivre's Theorem
  6. Use the Division Algorithm for polynominals
  7. Derive inequalities involving the roots of a polynominal and its coeffcients

Disgrifiad cryno

This module covers the algebra which is fundamental to the development of Mathematics

Nod

To introduce the students to the ideas of algebra through the study of complex numbers and polynominals.

Cynnwys

1. SETS AND MAPPINGS: Introduction to number systems and mappings;

2. FINITE SUMS: The Binominal Theorem, arithmatic and geometric series, the principle of mathematical induction;

3. COMPLEX NUMBERS: Geometric interpretation, DeMoivre's Theorem;

4. POLYNOMINALS: The Division Algorithm and Remainder Theorem. Symmetric functions. Relations between roots of a polynominal and its coefficients;

Sgiliau Modiwl

Math o Sgiliau

Manylion Sgiliau
Cyfathrebu Written answers to exercises must be clear and well structured.
Datblygu personol a chynllunio gyrfa Completion of task (assignments) to set deadlines will aid personal development.
Datrys Problemau The assignments will give the students opportunities to show creativity in finding solutions and develop their problem solving skills.
Gwaith Tim Students will be encouraged to work together on questions during tutorials.
Gwella dysgu a pherfformiad ei hun Students are expected to develop their own approach to time-management regarding the completion of assignments on time and preparation between lectures.
Rhifedd required throughout the course.
Sgiliau pwnc penodol Broadens exposure of students to topics in mathematics.
Technoleg Gwybodaeth Via STACK and Blackboard.

Nodau

Mae'r modiwl hwn yn cydymffurfio a FfCChC Lefel 4