Prerequisite Courses: Differential and Integral calculus, Taylor series, Differential equations of first order and first degree, Fourier series, Vector algebra and Algebra of complex numbers. 

Course Objectives: 

To familiarize the students with concepts and techniques in Ordinary differential equations, Fourier 

Transform, Z-Transform, Numerical methods, Vector calculus and Statistics & Probability. 

The aim is to equip them with the techniques to understand advanced level mathematics and its applications that would enhance analytical thinking power, useful in their disciplines. 

Course Outcomes: 

After successful completion of the course, learner will be able to: 

CO1: Solve higher order linear differential equation using appropriate techniques for modelling, analyzing of electrical circuits and control systems. 

CO2: Apply concept of Fourier transform & Z-transform and its applications to continuous & discrete systems, signal & image processing and communication systems. 

CO3: Obtain Interpolating polynomials, numerically differentiate and integrate functions, numerical solutions of differential equations using single step and multi-step iterative methods used in modern scientific computing. 

CO4: Perform Vector differentiation & integration, analyze the vector fields and apply to electromagnetic fields & wave theory. 

CO5: Apply Statistical methods like correlation, regression and Probability theory as applicable to analyze and interpret experimental data related to signal, communication and information theory.