5 Singular value decomposition Module I

8 Evaluation of improper integral using Beta and Gamma functions Module III

7 Evaluation of improper integral using Beta and Gamma functions Module II

6 Evaluation of improper integral using Beta and Gamma functions Module I

5 Applications of definite integrals to evaluate surface areas and volumes of revolutions of curve

4 Curve tracing and applications of definite integrals to evaluate arc lengths

3 Taylor’s theorem and approximation of a function by Taylor’s series

2 Lagrange’s Mean value theorem

1 Rolles Theorem

8 Constrained optimization using Lagrange multilier method Module II

7 Constrained optimization using Lagrange multilier method Module I

6 Unconstrained optimization of functions using the hessian matrix Module II

5 Unconstrained optimization of functions using the hessian matrix Module I

4 Functional dependence

3 Jacobian

2 Total derivative

1 Partial differentiation

8 Least Squares Solution of an Over determined System of Equations using pseudo inverse

7 Moore Penrose pseudo inverse of a matrix

6 Singular value decomposition Module II

5 Singular value decomposition Module I

4 QR Factorization Module II

3 QR Factorization Module I

2 LU Decomposition

1 Spectral decomposition of a symmetric matrix