This course is designed to develop the topics of analytic geometry, differential and integral calculus. Emphasis is placed on limits, continuity, derivatives and integrals of algebraic and transcendental functions of one variable.  The topics to be covered are: Rectangular Cartesian co-ordinate systems.  Distance between two points, gradient of a line, co-ordinates of a point dividing a line segment in a given ratio.  Equations of a circle in the form. Points of intersection of lines and circles. Limit of a function of one variable at a point.  Continuous functions. Derivatives of a function and its interpretation as the rate of change. Higher order derivatives. Differentiation of algebraic, circular, exponential functions.  Sum, product and quotient rules. Differentiation of composite, absolute value and implicit function. Small increments and calculation of approximate values. Application of derivative to increasing and decreasing of functions, maxima and minima.  Curve sketching. Integration as the inverse of differentiation. Integration of simple continuous functions and rational functions by substitution. Parametric representation of loci. The parabola, ellipse and rectangular hyperbola. Chords, tangents and normal.