SFY0003 : Foundation Mathematics 1
- Offered for Year: 2019/20
- Module Leader(s): Dr John Appleby
- Owning School: Engineering
- Teaching Location: Newcastle City Campus
Semesters
| Semester 1 Credit Value: | 10 |
| ECTS Credits: | 5.0 |
Aims
To provide an introduction to differential calculus and complex numbers. Students who have completed the course will have studied and practised elementary differential calculus, including fundamental ideas and a range of standard methods. They will have seen a variety of simple applications in mathematics and physical science.
Outline Of Syllabus
Complex numbers: application to quadratic and cubic equations; conversion to modulus-argument form. Functions. Domain and range. Composite functions. Limits of functions. Differentiation as computation of gradient. Differentiation from first principles. Rules of differentiation (product rule, quotient rule, chain rule). Higher derivatives, maxima and minima, curve sketching.
Teaching Methods
Teaching Activities
| Category | Activity | Number | Length | Student Hours | Comment |
|---|---|---|---|---|---|
| Guided Independent Study | Assessment preparation and completion | 3 | 1:00 | 3:00 | Problem solving exercises. Counts for 10% of overall assessment. |
| Guided Independent Study | Assessment preparation and completion | 1 | 12:00 | 12:00 | Exam Revision |
| Scheduled Learning And Teaching Activities | Lecture | 24 | 1:00 | 24:00 | N/A |
| Scheduled Learning And Teaching Activities | Small group teaching | 6 | 1:00 | 6:00 | N/A |
| Guided Independent Study | Independent study | 1 | 55:00 | 55:00 | Private study |
| Total | 100:00 |
Teaching Rationale And Relationship
Lectures will be used to provide the formal framework of the module, demonstrated by the use of appropriate examples.
Tutorial classes will increase student understanding and will give students the opportunity to tackle problems in the presence of, and with advice and encouragement from, staff.
Assessment Methods
The format of resits will be determined by the Board of Examiners
Exams
| Description | Length | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|---|
| Written Examination | 90 | 1 | A | 90 | A class test may permit exemption from Section A of the exam. |
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Prob solv exercises | 1 | M | 10 | Coursework |
Assessment Rationale And Relationship
The examination and problem solving exercises are most appropriate for assessing students' knowledge of the module content and to prepare them for future modules.
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- SFY0003's Timetable