Engineering Mathematics
Contents
| 1. | Algebra, Vectors and Geometry | ||
| 1.1 | Vector Algebra and Solid Geometry | ||
| 1.2 | Linear Algebra: Determinants, Matrices | ||
| 1.3 | Solution of Equations | ||
| 2. | Calculus | ||
| 2.1 | Differential Calculus and Its Applications | ||
| 2.2 | Partial Differentiation and Its Applications | ||
| 2.3 | Multiple Integrals and Beta, Gamma Functions | ||
| 2.4 | Vector Calculus and Its Applications | ||
| 3. | Series | ||
| 3.1 | Infinite Series | ||
| 3.2 | Fourier Series and Harmonic Analysis | ||
| 4. | Differential Equations | ||
| 4.1 | Differential Equations of First Order | ||
| 4.2 | Applications of Differential Equations of First Order | ||
| 4.3 | Linear Differential Equations | ||
| 4.4 | Applications of Linear Differential Equations | ||
| 4.5 | Differential Equations of Other Types | ||
| 4.6 | Series Solution of Differential Equations and Special Functions | ||
| 4.7 | Partial Differential Equations | ||
| 4.8 | Applications of Partial Differential Equations | ||
| 5. | Complex Analysis | ||
| 5.1 | Calculus of Complex Functions | ||
| 5.2 | Complex Number and Functions | ||
| 6. | Transforms | ||
| 6.1 | Laplace Transforms | ||
| 6.2 | Fourier Transforms | ||
| 6.3 | Z-Transforms | ||
| 7. | Numerical Techniques | ||
| 7.1 | Empirical Laws and Curve fitting | ||
| 7.2 | Statistical Methods | ||
| 7.3 | Probability and Distributions | ||
| 7.4 | Sampling and Inference | ||
| 7.5 | Numerical Solution of Equations | ||
| 7.6 | Finite Differences and Interpolation | ||
| 7.7 | Numerical Differentiation and Integration | ||
| 7.8 | Difference Equations | ||
| 7.9 | Numerical Solution of Ordinary Differential Equations | ||
| 7.10 | Numerical Solution of Partial Differential Equations | ||
| 7.11 | Linear Programing | ||
| 8. | Others | ||
| 8.1 | Calculus of Variations | ||
| 8.2 | Integral Equations | ||
| 8.3 | Discrete Mathematics | ||
| 8.4 | Tensor Analysis | ||
