Euclidean spaces, Metric and its properties, Contraction Mappings, Affine and Mobius Transormations, Iterated Function System, Attractors, Random Iteration Algorithm, Collage Therorem, Address of points on Fractrals, Dynamical System, Simulation of 2-D and 3-D Fractal Objects, Fractal and Hausdorff Dimension, Fractal Interpolation Function (FIF): Construction and Properties, Hidden Variable FIF, Coalescence FIF, Interpolation Error Bounds, Fractal Dimension of FIF, Classification of Periodic Points, Kinds of Bifurcations, Chaotic Sets, Julia Sets, Fatou Sets, Mandelbrot Sets, Simulation and Interpolatin, Applicationn of Fractal Interpolation in simulation and highly irregular objects found in nature. .