Course Co-ordinator: Dr C Lopez

Pre-requisite(s): MA 1005 or, with the permission of the Head of Mathematical Sciences, both MA 1007 and MA 1507.

• Fundamental properties of real numbers: field operations, order, completeness.


• Sequences and limits: convergence, basic examples, decimal representation of real numbers.


• Functions of one real variable: limits and continuity, elementary functions, basic results on continuous functions.


• Differentiation of functions of one variable: basic definitions and properties, chain rule, first examples of Taylor polynomials and series


• Integration of functions of one variable: basic definitions and properties, the fundamental theorem of calculus, application to arc lengths of plane curves.

3 one-hour lectures and 1 one-hour tutorial per week (to be arranged).

1st Attempt: 1 two-hour written examination (80%); in-course assessment (20%).

Resit: 1 two-hour written examination paper. The CAS mark awarded will be the maximum of 100% resit and 80% resit with 20% in-course assessment.