Objective:
This course introduces the student to complex and the manipulation of complex numbers.
Algebra: The set R of real numbers, Relation of order in R, Principle of Mathematical Induction, Complex numbers;
Analysis: Functions: Odd, Even and Periodic functions Hyperbola functions and their graphs;
Co-ordinate Geometry: Conic sections in rectangular co-ordinates, parabola, ellipse and hyperbola;
Parametric equations: Plane polar co-ordinates, polar curves;
Differentiation: Rolle’s theorem and the man-value theorems, Taylor’s theorem, Repeated Differentiation, Applications for Differentiation, Indeterminate form;
Vector algebra and its application.