Module description
Aims
The aim of the module is to review and enhance aspects of pre-university mathematics in order to foster genuine confidence and fluency with the material. This will help provide a firm grasp of basic ideas thus allowing concentration on the many new and often abstract concepts that will be introduced in various modules throughout the academic programme.
Syllabus
Injective, subjective and bijective functions; trigonometric functions; hyperbolic functions; inverse functions; the logarithm and exponential functions; limits; differentiation from first principles; integration from first principles; series; Taylor's theorem and l'Hopital's rule.
Assessment details
Written examination and class tests. Details to be confirmed.
Exercises will be given out and questions set each week to be handed in the following week. These problems will be discussed in the tutorials and solutions will be available on the web.
Semester 1 only students will be set an alternative assessment in lieu of in-person exams in January.
Full year students will complete the standard assessment.
Teaching pattern
Three hours of lectures and one hour of tutorial per week throughout the term.
Suggested reading list
Indicative reading list - link to Leganto system where you can search with module code for lists