Course Outcomes

Students would be able to:

CO1 Understand the methods to reduce Initial value problems associated with linear differential equations to various integral equations.

CO2 Categorise and solve different integral equations using various techniques.

CO3 Describe importance of Green's function method for solving boundary value problems associated with non-homogeneous ordinary and partial differential equations, especially the Sturm-Liouville boundary value problems.

CO4 Learn methods to solve various mathematical and physical problems using variational techniques.

Course Outcomes

Students would be able to:

CO1 Describe the shortcomings of Riemann integral and benefits of Lebesgue integral.

CO2 Understand the fundamental concept of measure and Lebesgue measure.

CO3 Learn about the differentiation of monotonic function, indefinite integral, use of the fundamental theorem of calculus.

Course Outcomes

Students would be able to:

CO1 Identify and develop operations research model describing a real life problem.

CO2 Understand the mathematical tools that are needed to solve various optimization problems.

CO3 Solve various linear programming, transportation, assignment, queuing, inventory and game problems related to real life.

Course Outcomes

Students would be able to:

CO1 Establish a fundamental familiarity with partial differential equations and their applications.

CO2 Distinguish between linear and nonlinear partial differential equations.

CO3 Solve boundary value problems related to Laplace, heat and wave equations by various methods.

CO4 Use Green's function method to solve partial differential equations.

CO5 Find complete integrals of Non-linear first order partial differential equations.

Course Outcomes

Students would be able to:

CO1 Use diverse properties of field extensions in various areas.

CO2 Establish the connection between the concept of field extensions and Galois theory.

CO3 Describe the concept of automorphism, monomorphism and their linear independence in field theory.

CO4 Compute the Galois group for several classical situations.

CO5 Solve polynomial equations by radicals along with the understanding of ruler and compass constructions.