Course Outline
In this course, we will learn:
- The underlying vector space are isomorphic $\mathbb{R}^2\cong\mathbb{C}$, then how Complex plane is different than $R^2$?
- Understanding the Complex variable
- General Functions of a Complex variable
- Limit and Continuity in Complex variable
- Differentiability, harmonic and Analytic function
- Line integral
- Integration in Complex variable
- Laplace Transformation
For more details check this .
Extra content which I covered in this course:
- Differentiability in higher dimensions and how to interpret differentiability in complex planes, YouTube video .
Lecture notes
Materials
Discord server: MAT215 Fall24 .