Essential Mathematics

Lesson 0: Some general instructions

Lesson 1: Functions1 Quiz

Lesson 2: Derivatives1 Topic

Lesson 3: Vector and Vector operations1 Quiz

Lesson 4: Integrals1 Quiz

Lesson 5: Matrix (Linear Algebra)

Lesson 6: Vector Differential Calculus: Grad, Div, Curl

Lesson 7: Vector Integral Calculus: Gauss theorem, Greens and Stokes

Lesson 8: Tensors and Tensor Notation1 Quiz

Lesson 9: Complex Numbers1 Quiz

Lesson 10: ODEs and its solution1 Quiz

Lesson 11: PDEs and its solution1 Quiz

Lesson 13: Taylor Series1 Quiz

Lesson 14: Fourier Series and FFT1 Quiz

Lesson 15: Numerical Differentiation1 Quiz

Lesson 16: Numerical Integration1 Quiz

Lesson 17: Probability and PDF1 Quiz

Lesson 18: Statistics and Regression1 Quiz
Upwind scheme and CFL number Copy
In this video, you will learn about firstorder and higherorder upwind schemes and also a very important nondimensional number known as CFL number.
Clear your doubts and engage in discussions
Assignment lesson 21:
(a) Solve the Example problem 5.1 from the book by Versteeg and Malalasekara (book already shared in Lesson 20). Program it using 5 nodes as in the solved problem and upload. Try to make it a generic program to have any number of cells.
or
(b) Solve the example problems 5.1 and 5.2 manually in your book, scan it and upload. Use a different boundary condition value (don’t use the same numbers as in the book)
Note: All these assignments are manually evaluated and your programming skills are noted. This will be one of the important criteria to shortlist the candidates for any internship opportunities at Flowthermolab Pvt Ltd.