SFY0003 : Foundation Mathematics 1

Semester 1 Credit Value: 10
ECTS Credits: 5.0


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 StudyAssessment preparation and completion31:003:00Problem solving exercises. Counts for 10% of overall assessment.
Guided Independent StudyAssessment preparation and completion112:0012:00Exam Revision
Scheduled Learning And Teaching ActivitiesLecture241:0024:00N/A
Scheduled Learning And Teaching ActivitiesSmall group teaching61:006:00N/A
Guided Independent StudyIndependent study155:0055:00Private study
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

Description Length Semester When Set Percentage Comment
Written Examination901A90A class test may permit exemption from Section A of the exam.
Other Assessment
Description Semester When Set Percentage Comment
Prob solv exercises1M10Coursework
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