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Module

MAS1606 : Introductory Algebra

  • Offered for Year: 2021/22
  • Module Leader(s): Dr Stefan Kolb
  • Owning School: Mathematics, Statistics and Physics
  • Teaching Location: Newcastle City Campus
Semesters
Semester 1 Credit Value: 20
ECTS Credits: 10.0

Aims

The module aims to provide students of differing mathematical backgrounds with a common algebraic foundation for more advanced mathematical study. The first part of the module is devoted to complex numbers and polynomial equations in one variable. The second part treats elementary concepts of linear algebra, in particular systems of linear equations and matrix methods for their solution and applications to geometry.

Outline Of Syllabus

Complex numbers, arithmetic, Argand diagram, polar form, de Moivre's theorem, powers and roots of unity.

Vectors: sums, products (scalar, dot, cross), equations of lines and planes, orthogonality, norm.

Linear algebra: row operations, solution of linear equations, Gaussian elimination, matrix operations, determinants, inverting matrices, eigenvectors, quadratic forms.

Teaching Methods

Teaching Activities
Category Activity Number Length Student Hours Comment
Scheduled Learning And Teaching ActivitiesLecture331:0033:00Formal Lectures – Present in Person
Scheduled Learning And Teaching ActivitiesLecture111:0011:00Problem Classes – Synchronous On-Line
Guided Independent StudyAssessment preparation and completion301:0030:00Completion of in course assessments
Scheduled Learning And Teaching ActivitiesSmall group teaching51:005:00Group Tutorials – Present in Person
Guided Independent StudyIndependent study1211:00121:00N/A
Total200:00
Teaching Rationale And Relationship

Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Problem Classes are used to help develop the students’ abilities at applying the theory to solving problems.

Assessment Methods

The format of resits will be determined by the Board of Examiners

Exams
Description Length Semester When Set Percentage Comment
Written Examination1501A80N/A
Other Assessment
Description Semester When Set Percentage Comment
Prob solv exercises1M10Problem-solving exercises
Prob solv exercises1M10Problem-solving exercises
Assessment Rationale And Relationship

A substantial formal unseen examination is appropriate for the assessment of the material in this module. The coursework assignments allow the students to develop their problem solving techniques, to practise the methods learnt in the module, to assess their progress and to receive feedback; these assessments have a secondary formative purpose as well as their primary summative purpose.

In the event of on-campus examinations not being possible, an on-line alternative assessment will be used for written examination 1.

Reading Lists

Timetable