Course Outcome
- Compute summation of trigonometric series.
- Evaluate nth order differentiation of function.
- Describe the applicability of Euler’s theorem.
- Understand the concept of improper integral and Beta-Gamma function.
- Knowledge of basic principles of limit and continuity, Taylor’s theorem.
- Understand Lagrange’s multipliers method and Jacobian.
- Learn the definition of sequence, bounded sequence and Cauchy sequence.
- Apply various tests for convergence and divergence of series.
- Simplify and manipulate irrational functions to facilitate their integration, making use of algebraic identities and substitutions.
- Apply reduction formulae.
- Understand the concept of double and Triple integration.
- Compute summation of trigonometric series.
- Learn Analytic function and Harmonic function.
- Understand Mobius transformation.
- Understand the fundamental theorem of integral calculus.
- Learn various tests of convergence of Improper Integral.
- Understand metric space, open and closed sets.
- Learn Legendre’s polynomials, recurrence formulae and Rodrigue’s formula.
- Solve Bessel’s equation and study Recurrence formulae.
- Study Fourier sine and cosine series.
- Study Laplace transform and its properties.
- Study Fourier transform and its properties.
- Learn the concept of Vector space, Subspace and Dimension.
- Study Linear transformation and Rank nullity theorem.
- Learn Dual space, Bidual space, Eigen value and eigen vectors.
- Learn Cauchy-Schwarz inequality, Bessel’s inequality and Gram Schmidt orthogonalization process.
- Study Modules, homomorphism and isomorphism theorem.
- Study Lorentz transformation and its geometrical interpretation.
- Learn two laws of thermodynamics for a moving system.
- Study geometrical representation of space-time and various tensors.
- Learn energy momentum tensor and transformation equation.
- Study Maxwell’s equation of electromagnetic theory.
