Mathematics - iii (Differential Calculus) - Vol 4
Engineering · 18 chapters · 191 sections · about 108 hours
Chapters
18 chapters · 191 sections- 1Finite Differences9 sections
- 2Interpolation Formulas10 sections
- 3Numerical Differentiation8 sections
- 4Numerical Integration8 sections
- 5Solution of Algebraic and Transcendental Equations17 sections
- 6System of Linear Equations12 sections
- 7Numerical Solution of Ordinary Differential Equations (ODEs)15 sections
- 8Picard’s Method8 sections
- 9Euler’s Method7 sections
- 10Modified Euler’s Method11 sections
- 11Heun’s Method13 sections
- 12Runge–Kutta Methods (RK2, RK4)8 sections
- 13Milne’s Predictor–Corrector Method6 sections
- 14Adams–Bashforth Method9 sections
- 15Adams–Moulton Method12 sections
- 16Error Analysis in Numerical ODE Solutions8 sections
- 17Error Analysis in Numerical ODE Solutions15 sections
- 18Stability and Convergence of Methods15 sections
About this course
This course focuses on advanced mathematical concepts such as Laplace transforms, Fourier series, partial differential equations, and complex analysis. It equips students with analytical tools essential for solving real-world engineering and computational problems