PHY1038 : Introductory Algebra
- Offered for Year: 2022/23
- Available to incoming Study Abroad and Exchange students
- Module Leader(s): Professor Tamara Rogers
- Owning School: Mathematics, Statistics and Physics
- Teaching Location: Newcastle City Campus
Semesters
Semester 1 Credit Value: | 10 |
ECTS Credits: | 5.0 |
Aims
To lay the mathematical foundations for more advanced mathematics needed to describe
physical systems. Students will learn how to solve simple differential equations and how known computational tools of the calculus of functions of a single variable generalize to functions of many variables.
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 Activities | Lecture | 20 | 1:00 | 20:00 | Formal Lectures – Present in Person and Non-Synchronous Delivery |
Scheduled Learning And Teaching Activities | Lecture | 2 | 1:00 | 2:00 | Revision Lectures – Present in Person and Non-Synchronous Delivery |
Guided Independent Study | Assessment preparation and completion | 37 | 1:00 | 37:00 | Completion of in course assignments/ examination revision |
Guided Independent Study | Independent study | 41 | 1:00 | 41:00 | Preparation time for lectures, background reading, coursework review |
Total | 100:00 |
Jointly Taught With
Code | Title |
---|---|
MAS1610 | Introductory Algebra |
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.
Assessment Methods
The format of resits will be determined by the Board of Examiners
Exams
Description | Length | Semester | When Set | Percentage | Comment |
---|---|---|---|---|---|
Written Examination | 120 | 1 | A | 60 | N/A |
Exam Pairings
Module Code | Module Title | Semester | Comment |
---|---|---|---|
MAS1610 | Introductory Algebra | 1 | N/A |
Other Assessment
Description | Semester | When Set | Percentage | Comment |
---|---|---|---|---|
Prob solv exercises | 1 | M | 10 | Problem-solving exercises |
Prob solv exercises | 1 | M | 30 | Problem-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
- Timetable Website: www.ncl.ac.uk/timetable/
- PHY1038's Timetable