| 1 | Introduction to matrix and its operations | Introduction to Vector & describe rules and properties |
| 2 | Introduction to different types of matrices | Vector Differentiation and its Application |
| 3 | Finding different forms of matrices and its rank | Introduction of Scalar/vector functions, Gradient, Divergence |
| 4 | Solve and interpret system of Linear equations | Solve and applications of Gradient, Divergence & Curl |
| 5 | Analyze elementary Linear Physical Systems | Discuss Line Integral, Surface & Volume Integral |
| 6 | Basic Theorem of Laplace Transform | Solve problems of Line Integral |
| 7 | Laplace Transform of some elementary functions | Solve problems of Surface & Volume Integral |
| 8 | Laplace Transform of Error Function and complement | Discuss some theorem related to vector integral |
| 9 | Laplace Transform of Periodic, Unit Step Function | Solve problems by using theorems and its application |
| 10 | Inverse Laplace Transform and its properties | Basic laws and properties of Fourier Series |
| 11 | Solving Irrational Function, Convolution, Partial Fraction | Introduction to Fourier series and its rules and properties |
| 12 | Apply Laplace Transformation to solve mathematical problems | Application of Fourier series to physical problems |
| 13 | Linear Circuits Problem using Laplace Transformation | Discuss Fourier integral representations and transformation |