# Module Overview

### Mathematics for Optical Professions

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.

MATH 1920

##### ECTS Credits

5

*Curricular information is subject to change

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 Examination60
Other Assessment(s)40