Course Content

ALGEBRA AND FUNCTIONS: Rational functions, partial fractions

COORDINATE GEOMETRY: Parametric and Cartesian forms, area under a curve given parametric equations.

SEQUENCES AND SERIES: Binomial for any rational n.

DIFFERENTIATION: Implicit and parametric differentiation, exponential growth and decay, formation of simple differential equations.

INEGRATION: Integration of exp(x), 1/x, trig. functions, volume of revolution, integration by substitution and parts, use of partial fractions, first order differential equations with separable variables, numerical integration of functions.

VECTORS: 2D and 3D, +/-, multiplication by a scalar, geometrical interpretation, magnitude, position vectors, distance, vector equations of a line, scalar product, angle between 2 lines.

Course Programme

0915 Coffee

0930 INTRODUCTION AND SESSION I: Algebra and functions, coordinate geometry, sequences and series

1115 Coffee

1130 SESSION II: Differentiation and integration

1300 Lunch

1345 SESSION III: Vectors

1515 Tea and depart

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