Topic 1: Matrix
| Term / Concept Name | Year(s) of Appearance |
|---|---|
| Rank of a matrix | 2019, 2025 |
| Hermitian matrix | 2016, 2017, 2018, 2023, 2025 |
| Skew-Hermitian matrix | 2015, 2018, 2025 |
| Unitary matrix | 2023 |
| Elementary matrix | 2016, 2023 |
| Symmetric matrix | 2019 |
| Skew-symmetric matrix | 2016, 2017, 2019 |
| Upper triangular matrix | 2015 |
| Equivalent matrix | 2015 |
| Nilpotent matrix | 2015 |
| Submatrices of a matrix | 2016 |
| Square matrix | 2017 |
| Singular matrix | 2017 |
| Vector space | 2019 |
| Inverse of a matrix (and when it exists) | 2015, 2016, 2017 |
| Normal form of a matrix | 2015 |
| Homogeneous system of linear equations | 2025 |
| Eigen value / Eigenvalue | 2017, 2018, 2021, 2023, 2025 |
| Eigen vector / Eigenvector | 2017, 2018, 2021, 2023, 2025 |
Topic 2: Vector Calculus
| Term / Concept Name | Year(s) of Appearance |
|---|---|
| Gradient of a scalar function (Definition and Physical Meaning) | 2015, 2022, 2025 |
| Solenoidal vector | 2019, 2025 |
| Conservative vector field / force field | 2015, 2025 |
| Physical significance / outcomes of gradient | 2021, 2024 |
| Physical significance / outcomes of divergence | 2021, 2023, 2024 |
| Physical significance of curl | 2024 |
| Scalar point function | 2021 |
| Vector point function | 2021 |
| Directional derivative | 2016 |
| Significance of surface integral | 2022 |
| Statement of Divergence theorem | 2025 |
| Statement of Stoke’s theorem | 2021, 2023, 2025 |
| Statement of Green’s theorem | 2015, 2018, 2022, 2025 |
Topic 3: Laplace Transform
| Term / Concept Name | Year(s) of Appearance |
|---|---|
| Laplace transform | 2015, 2019, 2023 |
| Inverse Laplace transformation | 2025 |
| First shifting theorem (Statement) | 2024 |
| Second shifting theorem (Statement) | 2024 |
| Convolution theorem / Convolution theorem for inverse Laplace transform (Statement) | 2015, 2019, 2021, 2024 |
| Existence conditions / Sufficient conditions for Laplace Transform | 2021, 2022 |
| Unit step function | 2021 |
| Periodic function | 2017, 2019 |
Topic 4: Fourier Series and Transform
| Term / Concept Name | Year(s) of Appearance |
|---|---|
| Fourier series | 2021, 2022 |
| Existence condition of Fourier series / Dirichlet’s conditions | 2021, 2022, 2023, 2024, 2025 |
| Odd and even functions | 2022 |
| Piecewise continuity of a function | 2016 |