Mathematics - iii (Differential Calculus) - Vol 2
Engineering · 20 chapters · 174 sections · about 103 hours
Chapters
20 chapters · 174 sections- 1Formation of Partial Differential Equations9 sections
- 2Classification of PDEs (Elliptic, Parabolic, Hyperbolic)10 sections
- 3Linear and Non-linear PDEs11 sections
- 4First-Order PDEs10 sections
- 5Lagrange’s Linear Equation8 sections
- 6Charpit’s Method8 sections
- 7Method of Separation of Variables10 sections
- 8Homogeneous Linear PDEs with Constant Coefficients6 sections
- 9Non-Homogeneous Linear PDEs6 sections
- 10Solution of PDEs by Direct Integration7 sections
- 11One-Dimensional Wave Equation10 sections
- 12One-Dimensional Heat Equation8 sections
- 13Two-Dimensional Laplace Equation8 sections
- 14D’Alembert’s Solution of Wave Equation9 sections
- 15Fourier Series Solutions to PDEs8 sections
- 16Boundary and Initial Conditions8 sections
- 17Applications in Engineering Problems13 sections
- 18Eigenfunction Expansion Method6 sections
- 19Use of Laplace Transforms in Solving PDEs9 sections
- 20Numerical Methods for PDEs (basic overview)10 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.