This course is the first course in the Pre-AICE sequence. This course aims to enable candidates to: • develop their mathematical knowledge and skills in a way which encourages confidence and provides satisfaction and enjoyment • develop an understanding of mathematical principles and an appreciation of mathematics as a logical and coherent subject • acquire a range of mathematical skills, particularly those which will enable them to use applications of mathematics in the context of everyday situations and of other subjects they may be studying • develop the ability to analyze problems logically, recognize when and how a situation may be represented mathematically, identify and interpret relevant factors and, where necessary, select an appropriate mathematical method to solve the problem • use mathematics as a means of communication with emphasis on the use of clear expression • acquire the mathematical background necessary for further study in this or related subjects. Major topics include: Quadratics, Functions, Coordinate Geometry, Circular Measure, Trigonometry, Vectors, Series, Differentiation, Integration, Algebra, Logarithmic and Exponential Functions, Integration, Complex Numbers, Mechanics, and, Probability and Statistics.