Mathematics is the basic foundation course for all Engineering Students and the subject is covered in several semesters. This book covers the topics of Numerical Methods, Matrices, Fourier series and Fourier Transforms along with partial Differential Equations and Z-Transforms. The subject matter has been presented in detailed and simple lucid way. The theory aspects are explained with illustrations and solved examples to help the students understand the concepts. Numerical Methods is covered in the first chapters. New topics like Cubic Spline method, Adams-Moulton Method and Weedle's Rule have been included. Matrices & Linear System of Equations explained.