Understanding Fluid Solvers – Volume 1 by MIX Training

Understanding Fluid Solvers – Volume 1

Volume 1 will be about the math behind the stuff. starting with Calculus 1 (Differential Calculus) basics and explaining the stuff we will need later on. Then , Calculus 2 (Integral Calculus) ,then , Calculus 3 (which is the most important and called Multi-variable Calculus)a .I will also tend to some Linear Algebra concepts we will use.

What you will be learning in each chapter

Chapter 1 : Differential Calculus

In this chapter , we will begin our journey in the math starting with calculus 1 and explaining the concepts we will need in our process . We will learn what’s a function and what’s a derivative. After that, we will differentiate our functions with different techniques. It’s recommended to have a good math background before you attend the course , but if you don’t I , I will do my best to make the concepts simple for everyone . You must have at least prep school knowledge.

Chapter 2 : Integral Calculus

Integration is the opposite of differentiation so we will talk about how to integrate our functions with different techniques.

Chapter 3 : Extra maths in the core , Multivariable Calculus.

 In this chapter we will finish the concepts of Calculus we need. Calculus 3 is the most important in our work . We will start to differentiate the multi-variable functions and integrate them. I will explain the most important derivative operators we need like gradient, divergence , curl, laplacian and many more ! Be ready for partial derivatives !

What's included?

Video Icon 1 video File Icon 50 files

Contents

00 - Fluid Solvers overview 01
6 mins
01 - What's A function
02 - Graphing A function
03 - What's a limit
04 - Derivatives Part 1
05 - Derivatives Part 2
06 - Derivatives Part 3
07 - Derivatives Part 4
08 - Derivatives Part 5
09 - Derivatives Part 6
10 - Derivatives Part 7
11 - Derivatives Part 8
12 - Derivatives Part 9
13 - 14 - Derivatives Part 10
15 - What's Antiderivative
16 - Reverse Power Rule
17 - Some Integration Rules
18 - Integration by parts
19 - U-Subsitution
20 - Definite Integral
21 - Fundamental Theorem Of Calculus
22 - What's Multivariable Calculus
23 - Scalar Valued Functions
24 - Graphing more than two dimensions
25 - Vectors
26 - Vector Valued Functions Part 1
27 - Vector Valued Functions Part 2
28 - Partial Derivatives Part 1
29 - Partial Derivatives Part 2
30 - Partial Derivatives Part 3
31 - Partial Derivatives Part 4
32 - Gradient Introduction
33 - Gradient Example
34 - Directional Derivatives
35 - Multivariable Chain Rule
36 - Divergence Part 1
37 - Divergence Part 2
38 - Rotation in 2D (Curl Part 1)
39 - Rotation in 3D (Curl Part 2)
40 - Curl Formula(Curl Part 3)
41 - Curl Example(Curl Part 4)
42 - Laplacian Operator
43 - Line Integration Part 1
44 - Line Integration Part 2
45 - Double Integration Part 1
46 - Double Integration Part 2
47 - Surface Integrals
48 - 3D Flux
49 - Triple Integrals
50 - Divergance Theorem Part 1
51 - Divergance Theorem Part 2