INTUITION MATTERS! - Applied Calculus for Engineers-Complete
What you'll learn
- You will develop very strong intuition & understanding in Calculus
- You will learn how to apply Calculus in real life to the level not seen in other courses
Requirements
- Addition, Subtraction, Multiplication, Division
- very basic algebra
Description
I have NEVER believed in simply memorizing things. Your greatest asset in life is time. If you study something, you invest your time in it. If you memorize it, soon you will forget it - that is not a great investment. But if you truly understand something, that stays with you for good - it can serve you for a long time.
This course will give you strong intuition and understanding in Calculus, and you will be trained to apply it in real life. It will stay in your head for good - this is a GREAT investment! Watch some of my free preview videos, enroll in my course, and I will make Calculus second nature to you - that is a promise!
These are the topics that the course covers:
Single variable functions
Trigonometric functions
Multidimensional functions
Limits
Derivatives - single variable
Vectors
Transformations
Parametric Equations
Multivariable Calculus
Single variable integrals
Multivariable integrals
Calculus in Control Engineering (PID controller & magnetic train simulation)
Introduction to Differential Equations
Extra Wisdom - waves in time and frequency domain
Most sections contain a small number of free preview videos for you to check out.
Good luck!
Who this course is for:
- Science and Engineering students
- Working Scientists and Engineers
Featured review
Course content
- Preview09:40
- Preview10:13
- Preview03:26
- Preview06:44
- Preview06:52
- 00:42The Simulation Python codes
- Preview09:12
- Preview05:54Abstract World VS Real World - 1
- Preview05:44Abstract World VS Real World - 2
- 10:32Straight line functions - How to manipulate them
- 08:05Inverse functions - what are they and how to find them
- 05:15Find inverse functions - example
- 12:26Parabolic functions - How to manipulate them
- 06:13Cubic functions - How to manipulate them
- Preview01:03
- 02:46SIM: Car race exercise - who will win the race - SOLUTION
- 08:53What is a function, what is not - 1
- 06:25What is a function, what is not - 2
- 06:09Inverse function of a parabola - how to find it
- 07:01Inverse function of a cubic function- how to find it
- 10:49Functions in general form - how to manipulate them
- 05:39SIM: General functions in motion
- 10:27Piecewise defined functions - how to form them
- 08:35How to shift functions
- 12:07How to do function operations
- 08:34Practice function operations
- 11:00Quadratic function roots - How to get them 1
- 07:55Quadratic function roots - How to get them 2
- 07:23Which terms dominate in functions
- 01:19SIM: 3 airplane race - who wins, and when?
- Preview02:06
Instructor
The Mission: to elevate humanity's knowledge, skills and love for science & engineering
I think that online education is the future because of one single fact - it is easily scalable. One course of a single great teacher can reach millions of people and potentially transform their lives. If education is more scalable, it will be more affordable. More affordable and accessible education will give more people an opportunity to stay out of poverty and create a great life for themselves.
I am here to contribute to this movement.