Mathematics - iii (Differential Calculus) - Vol 1
Engineering · 19 chapters · 197 sections · about 120 hours
Chapters
19 chapters · 197 sections- 1Laplace Transforms & Applications - Definition of Laplace Transform8 sections
- 2Linearity Property of Laplace Transform13 sections
- 3Topic 3: First Shifting Theorem12 sections
- 4Second Shifting Theorem11 sections
- 5Laplace Transform of Derivatives14 sections
- 6Laplace Transform of an Integral10 sections
- 7Multiplication by tn (Power of t)11 sections
- 8Division by t (Inverse of Multiplication by s)9 sections
- 9Laplace Transform of Unit Step Function9 sections
- 10The Dirac Delta Function (Impulse Function)11 sections
- 11Laplace Transform of Periodic Functions8 sections
- 12Inverse Laplace Transform12 sections
- 13Convolution Theorem14 sections
- 14Initial Value Theorem8 sections
- 15Final Value Theorem11 sections
- 16Application to Ordinary Differential Equations (ODEs)8 sections
- 17Application to Simultaneous Linear Differential Equations10 sections
- 18Application to Integral Equations10 sections
- 19Solving Electrical Circuits using Laplace Transform8 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.