Unit 1
Matrix rank and inverse, types of matrices, eigenvalues, eigenvectors, and Cayley-Hamilton theorem.
Duration: 3 Hours
Engineering Mathematics (MTH174)
Unit 2
Linear differential equations, linear dependence, and solutions for second and higher-order cases.
Duration: 2 Hours
Unit 3
Solutions to non-homogeneous equations using operator method, variation of parameters, and more.
Duration: 2 Hours
Unit 4
Fourier series, Euler’s formulae, conditions for expansion, discontinuities, and half-range series.
Duration: 2 Hours
Unit 5
Functions of two variables, Jacobians, Euler’s theorem, extrema, and Lagrange’s multiplier method.
Duration: 2 Hours
Unit 6
Double and triple integrals, change of variables, and applications to area and volume calculation.
Duration: 2 Hours