Mathematics - FREE
    by Dr C N B Rao ., M.Sc ,Ph.D (IIT Kharagpur)

The course is designed to equip the students with the necessary mathematical skills and techniques that are essential for an engineering course. The skills derived from the course will help the student from a necessary base to develop analytic and design concepts.

Code : MNSDC

Recommended For :

After Learning this subject,you should be able to

  • Determine rank, Eigenvalues and Eigen vectors of a given matrix and solve simultaneous linear equations.
  • Solve simultaneous linear equations numerically using various matrix methods..
  • Determine double integral over a region and triple integral over a volume.
  • Calculate gradient of a scalar function, divergence and curl of a vector function. Determine line, surface and volume integrals. Apply Green, Stokes and Gauss divergence theorems to calculate line, surface and volume integrals.

Curriculum 02:06:36   units   |   1

  • 2:07:02

    UNIT 1
    Linear Systems of Equations: Introduction, Rank, Echelon form, Normal form- Part 1, Normal form- Part 2, Gauss-Jordan method of finding inverse of a matrix, Solution of linear systems, Solution of linear systems Part 1, Gauss Elimination, Gauss-Jordan, Jacobi and Gauss Seidel Method, Jacobi and Gauss Seidel Method Part 1, Applications : Finding the current in electrical circuits, Eigen Values and Eigen vectors, Properties, Problems on Eigen Values and Eigen vectors, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ,