The mathematics module is designed to provide a foundation in accurate calculation and manipulation in algebra trigonometry and calculus and to try to develop transferable skills in these operations which can be applied to the study of optics and ophthalmic lenses in subsequent years of the course.
The aim of this module is to provide students with a course in algebra trigonometry and calculus applicable to further study in optics and ophthalmic lenses and to further develop calculation and manipulation skills in the solution of practical problems.
Basic mathematics
Revision of fractions, decimals, elementary functions (trigonometric, logarithmic, exponential)
Algebra
Manipulation and transposition of formulae, linear and quadratic equations, binomial theorem, complex numbers
Trigonometry
Definitions of trigonometric ratios, angles: degrees and radians, equations of straight lines and circles
2D analytical geometry
Basic introduction to two-dimensional analytical geometry, conic sections and their properties
3D analytical geometry
Basic introduction to three-dimensional analytical geometry, equations of planes, spheres, cylinders, paraboloids and hyperboloids
Differential calculus
Differentiation rules and applications to physical problems, graphs of functions and curve fitting
Integral calculus
Integration as anti-differentiation, definite integrals and areas under curves
Differential equations
Description and introduction to basic calculations
Lectures, tutorial/laboratory: applications of mathematical principles, mathematical computing.
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Formal Examination | 60 |
| Other Assessment(s) | 40 |