MAS1602 : Introductory Algebra: Complex Numbers, Vectors and Matrices (Inactive)
- Inactive for Year: 2024/25
- Module Leader(s): Dr Stefan Kolb
- Owning School: Mathematics, Statistics and Physics
- Teaching Location: Newcastle City Campus
Semesters
Your programme is made up of credits, the total differs on programme to programme.
| Semester 1 Credit Value: | 15 |
| ECTS Credits: | 8.0 |
| European Credit Transfer System | |
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 |
|---|---|---|---|---|---|
| Guided Independent Study | Assessment preparation and completion | 20 | 1:00 | 20:00 | Completion of In Course Assessment |
| Scheduled Learning And Teaching Activities | Lecture | 9 | 1:00 | 9:00 | Synchronous On Line Material |
| Structured Guided Learning | Lecture materials | 23 | 1:00 | 23:00 | Non Synchronous Activities |
| Scheduled Learning And Teaching Activities | Workshops | 9 | 1:00 | 9:00 | Present in Person |
| Structured Guided Learning | Structured non-synchronous discussion | 15 | 1:00 | 15:00 | Non Synchronous Discussion to Support Learning |
| Scheduled Learning And Teaching Activities | Drop-in/surgery | 4 | 1:00 | 4:00 | Office Hour or Discussion Board Activity |
| Guided Independent Study | Independent study | 70 | 1:00 | 70:00 | Preparation Time for Lectures, Background Reading, Coursework Review |
| Total | 150:00 |
Teaching Rationale And Relationship
Non-synchronous online materials are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on assessed work. Present-in-person and synchronous online sessions are used to help develop the students’ abilities at applying the theory to solving problems and to identify and resolve specific queries raised by students, and to allow students to receive individual feedback on marked work. In addition, office hours/discussion board activity will provide an opportunity for more direct contact between individual students and the lecturer: a typical student might spend a total of one or two hours over the course of the module, either individually or as part of a group.
Assessment Methods
The format of resits will be determined by the Board of Examiners
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Written exercise | 1 | M | 20 | N/A |
| Written exercise | 1 | M | 20 | N/A |
| Written exercise | 1 | M | 60 | Alternative Assessment |
Assessment Rationale And Relationship
The course assessments 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.
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- MAS1602's Timetable