Variational Calculus is the simplest and the most direct means of unifying all branches under the discipline of Applied Mathematics. This course assumes very limited knowledge of vector calculus, ordinary differential equations and basic mechanics. Many new applications in applied mathematics, physics, chemistry, biology and engineering are included. This course will serve as a reference for advanced study and research in this subject as well as for its applications in the fields of neuroscience, signal processing, informatics and communications.
Students master the techniques of 1st/2nd variation and are able to solve equations involving functionals.
Students are able to model physical systems involving linear/non-linear problems in Variational Calculus.
Students apply the variational techniques to solve problems in relativitistic mechanics