| 1 | Review Groups, Fields and Matrices | PDF unavailable |
| 2 | Vector Spaces, Subspaces, Linearly Dependent/Independent of Vectors | PDF unavailable |
| 3 | Basis, Dimension, Rank and Matrix Inverse | PDF unavailable |
| 4 | Linear Transformation, Isomorphism and Matrix Representation | PDF unavailable |
| 5 | System of Linear Equations, Eigenvalues and Eigenvectors | PDF unavailable |
| 6 | Method to Find Eigenvalues and Eigenvectors, Diagonalization of Matrices | PDF unavailable |
| 7 | Jordan Canonical Form, Cayley Hamilton Theorem | PDF unavailable |
| 8 | Inner Product Spaces, Cauchy-Schwarz Inequality | PDF unavailable |
| 9 | Orthogonality, Gram-Schmidt Orthogonalization Process | PDF unavailable |
| 10 | Spectrum of special matrices,positive/negative definite matrices | PDF unavailable |
| 11 | Concept of Domain, Limit, Continuity and Differentiability | PDF unavailable |
| 12 | Analytic Functions, C-R Equations | PDF unavailable |
| 13 | Harmonic Functions | PDF unavailable |
| 14 | Line Integral in the Complex | PDF unavailable |
| 15 | Cauchy Integral Theorem | PDF unavailable |
| 16 | Cauchy Integral Theorem (Contd.) | PDF unavailable |
| 17 | Cauchy Integral Formula | PDF unavailable |
| 18 | Power and Taylor's Series of Complex Numbers | PDF unavailable |
| 19 | Power and Taylor's Series of Complex Numbers (Contd.) | PDF unavailable |
| 20 | Taylor's, Laurent Series of f(z) and Singularities | PDF unavailable |
| 21 | Classification of Singularities, Residue and Residue Theorem | PDF unavailable |
| 22 | Laplace Transform and its Existence | PDF unavailable |
| 23 | Properties of Laplace Transform | PDF unavailable |
| 24 | Evaluation of Laplace and Inverse Laplace Transform | PDF unavailable |
| 25 | Applications of Laplace Transform to Integral Equations and ODEs | PDF unavailable |
| 26 | Applications of Laplace Transform to PDEs | PDF unavailable |
| 27 | Fourier Series | PDF unavailable |
| 28 | Fourier Series (Contd.) | PDF unavailable |
| 29 | Fourier Integral Representation of a Function | PDF unavailable |
| 30 | Introduction to Fourier Transform | PDF unavailable |
| 31 | Applications of Fourier Transform to PDEs | PDF unavailable |
| 32 | Laws of Probability - I | PDF unavailable |
| 33 | Laws of Probability - II | PDF unavailable |
| 34 | Problems in Probability | PDF unavailable |
| 35 | Random Variables | PDF unavailable |
| 36 | Special Discrete Distributions | PDF unavailable |
| 37 | Special Continuous Distributions | PDF unavailable |
| 38 | Joint Distributions and Sampling Distributions | PDF unavailable |
| 39 | Point Estimation | PDF unavailable |
| 40 | Interval Estimation | PDF unavailable |
| 41 | Basic Concepts of Testing of Hypothesis | PDF unavailable |
| 42 | Tests for Normal Populations | PDF unavailable |