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### 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 Level Undergraduate 1 First Sub Session 15 credits (7.5 ECTS credits) Aberdeen No This course has a diagnostic test which you must take before selecting this course. More information about the Diagnostic Tests Professor Ran LeviDr Simona Paoli

### Qualification Prerequisites

• Either Programme Level 1 or Programme Level 2

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

• 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
• Either Programme Level 1 or Programme Level 2

None.

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.

In light of Covid-19 this information is indicative and may be subject to change.

### Contact Teaching Time

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

### Teaching Breakdown

• 1 Support Tutorial during University weeks 9 - 19
• 1 Tutorial during University weeks 10 - 19

In light of Covid-19 and the move to blended learning delivery the assessment information advertised for second half-session courses may be subject to change. All updates for second-half session courses will be actioned in advance of the second half-session teaching starting. Please check back regularly for updates.

### Summative Assessments

4x assessments (25% each, assignments or online tests or a mixture of the two)

Alternative Resit Arrangements for students taking course in Academic Year 2020/21

Resubmission of failed elements (pass marks carried forward)

### 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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