Engineering Mathematics Syllabus
| Topic | Subtopics / What to Cover |
|---|---|
| Linear Algebra | Matrices ⭐ Rank ⭐ |
| Matrix Operations | Inverse ⭐ Eigen values ⭐ |
| Eigen Problems | Eigen vectors ⭐ Diagonalization ⭐ |
| Systems of Linear Equations | Gauss elimination ⭐ LU decomposition ⭐ |
| Vector Spaces | Basis ⭐ Dimension |
| Calculus – Limits | Limit concepts ⭐ |
| Differentiation | Continuity ⭐ Differentiability ⭐ |
| Applications of Derivatives | Maxima & minima ⭐ Tangents & normals |
| Integral Calculus | Definite integrals ⭐ |
| Applications of Integrals | Area ⭐ Volume |
| Multiple Integrals | Double integrals ⭐ |
| Vector Calculus | Gradient ⭐ Divergence ⭐ Curl ⭐ |
| Differential Equations | First order DE ⭐ |
| Higher Order DE | Linear DE ⭐ CF & PI ⭐ |
| Laplace Transform | Definition ⭐ Properties ⭐ |
| Inverse Laplace | Methods ⭐ |
| Partial Differential Equations | Formation ⭐ Solution |
| Probability Theory | Probability axioms ⭐ |
| Random Variables | PMF ⭐ PDF ⭐ |
| Mathematical Expectation | Mean ⭐ Variance ⭐ |
| Discrete Distributions | Binomial ⭐ Poisson ⭐ |
| Continuous Distributions | Normal ⭐ Exponential ⭐ |
| Sampling Theory | Sampling distributions |
| Hypothesis Testing | Z-test ⭐ T-test |
| Correlation | Covariance ⭐ |
| Regression | Linear regression |