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MA1006: ALGEBRA (2022-2023)

Last modified: 31 May 2022 13:25


Course Overview

This course introduces the concepts of complex numbers, matrices and other basic notions of linear algebra over the real and complex numbers. This provides the necessary mathematical background for further study in mathematics, physics, computing science, chemistry and engineering.




Course Details

Study Type Undergraduate Level 1
Session First Sub Session Credit Points 15 credits (7.5 ECTS credits)
Campus Aberdeen Sustained Study No
Diagnostic Test

This course has a diagnostic test which you must take before selecting this course. More information about the Diagnostic Tests

Co-ordinators
  • Professor Ran Levi
  • Dr Simona Paoli

Qualification Prerequisites

  • Either Programme Level 1 or Programme Level 2

What courses & programmes must have been taken before this course?

  • Any Undergraduate Programme
  • Either Programme Level 1 or Programme Level 2
  • One of Mathematics (MA) or Physics (PX) or Bachelor Of Science In Geophysics or Master of Engineering in Computing Science or Higher Grade (Sce/Sqa) Mathematics at Grade A1/A2/A/B3/B4/B/C5/C6/C or UoA Mathematics MAADV

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

Are there a limited number of places available?

No

Course Description

The basic course includes a discussion of the following topics: complex numbers and the theory of polynomial equations, vector algebra in two and three dimensions, systems of linear equations and their solution, matrices and determinants.

Syllabus

  • Solving equations.
  • Polynomial equations and their roots, polynomial long division, the Rational root theorem.
  • Introduction to complex numbers. The addition, subtraction, multiplication and division of
  • Complex numbers. Modulus and Argument and the representation of such numbers on an Argand diagram. Loci and regions in the Argand diagram. De Moivre’s theorem and applications. Complex exponential, logarithm, sine and cosine.
  • Systems of linear equations, Gaussian elimination.
  • Matrix algebra. Determinants of square matrices (of any dimension). Matrix inversion (the cofactor method and Gaussian elimination).
  • Vectors and linear maps. Special matrices (e.g rotation matrices). Matrix design. Eigenvalues and eigenvectors.
  • Topics from: Diagonalizability. Subspaces, dimensions and linear independence. The rank and nullity of a matrix.

Details, including assessment, may be subject to change until 31 July 2022 for 1st half-session courses and 23 December 2022 for 2nd half-session courses.

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

  • 3 Lectures during University weeks 8 - 18
  • 1 Tutorial during University weeks 9 - 18

More Information about Week Numbers


Details, including assessment, may be subject to change until 31 July 2022 for 1st half-session courses and 23 December 2022 for 2nd half-session courses.

Summative Assessments

2x Online Assessment (25% each)

1x Exam (50%)

 

Resit

2 hours exam (100%)

Formative Assessment

There are no assessments for this course.

Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
FactualRememberILO’s for this course are available in the course guide.

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