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This course includes:

  • 35 hours on-demand video
  • 3 articles
  • 3 downloadable resources
  • Full lifetime access
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  • Assignments

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Teaching & Academics Math Calculus

INTUITION MATTERS! - Applied Calculus for Engineers-Complete

Calculus + Engineering + PID: Functions, Limits, Derivatives, Vectors, differential equations, integrals: BEST CALCULUS
Rating: 4.5 out of 54.5 (248 ratings)
2,255 students
Created by Mark Misin
Last updated 10/2020
English
English [Auto]
Current price$139.99
Original Price$199.99
Discount30% off
5 hours left at this price!
Buy now
30-Day Money-Back Guarantee

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:

  1. Single variable functions

  2. Trigonometric functions

  3. Multidimensional functions

  4. Limits

  5. Derivatives - single variable

  6. Vectors

  7. Transformations

  8. Parametric Equations

  9. Multivariable Calculus

  10. Single variable integrals

  11. Multivariable integrals

  12. Calculus in Control Engineering (PID controller & magnetic train simulation)

  13. Introduction to Differential Equations

  14. 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

Brad Cantrell
Brad Cantrell
275 courses
100 reviews
Rating: 5.0 out of 5a year ago
Just started and already good. I have no idea why Udemy asks people to rate a course after watching one video of actual course material but whatever. You would think they could be more smart about letting users control when they rate a course.

Course content

15 sections • 223 lectures • 34h 57m total length

  • Preview09:40
  • Preview10:13
  • Preview03:26
  • The Simulation Python codes
    01:21
  • Preview09:12
  • Abstract World VS Real World - 1
    Preview05:54
  • Abstract World VS Real World - 2
    Preview05:44
  • Straight line functions - How to manipulate them
    10:32
  • Inverse functions - what are they and how to find them
    08:05
  • Find inverse functions - example
    05:15
  • Parabolic functions - How to manipulate them
    12:26
  • Cubic functions - How to manipulate them
    06:13
  • Preview01:03
  • SIM: Car race exercise - who will win the race - SOLUTION
    02:46
  • What is a function, what is not - 1
    08:53
  • What is a function, what is not - 2
    06:25
  • Inverse function of a parabola - how to find it
    06:09
  • Inverse function of a cubic function- how to find it
    07:01
  • Functions in general form - how to manipulate them
    10:49
  • SIM: General functions in motion
    05:39
  • Piecewise defined functions - how to form them
    10:27
  • How to shift functions
    08:35
  • How to do function operations
    12:07
  • Practice function operations
    08:34
  • Quadratic function roots - How to get them 1
    11:00
  • Quadratic function roots - How to get them 2
    07:55
  • Which terms dominate in functions
    07:23
  • SIM: 3 airplane race - who wins, and when?
    01:19
  • Preview02:06

  • Pi number and circumference of a circle - what are they and how to get them
    Preview13:27
  • Radians VS Degrees & how to get the arc length of a circle
    Preview11:39
  • Sine function - where does it come from
    12:54
  • Cosine and tangent function - where do they come from
    08:14
  • Inverse of trigonometric functions - how to get them
    10:28
  • Practice trigonometric functions - exercises
    04:43
  • Abstract VS Real - Aerospace Engineering example
    13:41
  • Preview03:50
  • SIM: Avoid the crash - solution 1
    01:48
  • SIM: Avoid the crash - solution 2
    04:35
  • SIM: Avoid the crash - solution 3
    02:53
  • SIM: Avoid the crash - solution 4
    06:41
  • SIM: Avoid the crash - solution 5
    05:15
  • SIM: Avoid the crash - solution 6
    01:56
  • SIM: Avoid the crash - solution 7
    03:56
  • SIM: Avoid the crash - solution 8
    01:08
  • SIM: Avoid the crash - solution 9
    04:56
  • SIM: Avoid the crash - solution 10
    01:01

  • 2 variable function - how to apply it to a simple airplane example
    12:42
  • 3 variable function - how to apply it to a simple airplane example
    09:16
  • What is a function and what is not - multidimensional functions
    11:08

  • Variable equaling VS approaching something - what's the difference
    Preview12:04
  • Variable approaching infinity - what happens
    Preview08:02
  • Smart financial decision using limits - how to do it
    Preview11:08
  • Manipulate trigonometric functions in different ways - how
    11:03
  • Model a wave with a trigonometric function - how
    12:19
  • Get from a sine to a cosine function - exercise
    03:16
  • Practice limits on a trigonometric function - does the limit exist?
    04:34
  • SIM: Limit simulation
    03:05
  • SIM: sin_limit simulation
    06:03

  • Derivatives - what are they - falling sphere example 1
    Preview13:02
  • Preview11:05
  • Preview14:42
  • Preview03:27
  • SIM: Earth, Mars, Moon - solution
    03:46
  • Derivatives - What are they - multidimensional point of view
    07:33
  • Practice your derivative intuition - exercises
    10:53
  • Prove that d(sin(theta))/d(theta)=cos(theta)
    1 question
  • chain rule - how to apply it to a multi link problem - water pipe example 1
    11:20
  • chain rule - how to apply it to a multi link problem - water pipe example 2
    15:58
  • Differential operators - What are they and how to apply them
    10:18
  • Multilevel derivatives - double, triple, quadruple
    07:35
  • Derivative rules - shortcuts 1
    07:15
  • Derivative rules - shortcuts 2
    12:32
  • Implicit VS Explicit functions - chain rule - water pipe example
    14:07
  • Derivative rules - BIG exercise
    14:59
  • Trigonometric function derivatives - how to take them 1
    11:15
  • Trigonometric function derivatives - how to take them 2
    09:38
  • Minimize the material used to produce a can - how to apply derivatives 1
    14:20
  • Minimize the material used to produce a can - how to apply derivatives 2
    09:01
  • Minimize the material used to produce a can - how to apply derivatives 3
    16:39
  • Exponential functions - what are they - how to manipulate them
    10:08
  • Logarithmic functions & log scale - what are they & derivatives
    13:25
  • Maximize your profit - how to apply derivatives for that
    14:09
  • Motion of a Projectile (The Crazy Motorcyclist)
    4 questions

  • Vectors in 2 dimensions - what are they
    Preview09:55
  • Vectors in multiple dimensions - what are they
    15:35
  • Vector terminology and disclaimers
    06:30
  • Vector magnitude - what is it
    11:38
  • Vector components - exercise
    06:07
  • Vector operations - how do they work
    04:45
  • Apply the dot product - Forces on a box example
    06:50
  • Cross product intuition- what is it
    07:18
  • Cross product - how to calculate it
    13:00
  • Preview10:20
  • Preview06:38
  • MEGA Application - Water tank example 2
    09:47
  • MEGA Application - Water tank example 3
    11:23
  • CORRECTION: MEGA Application - Water tank example 3
    05:01
  • MEGA Application - Water tank example 4
    12:33
  • CORRECTION: MEGA Application - Water tank example 4
    02:25
  • MEGA Application - Water tank example 5
    05:33
  • SIM: MEGA Application - Water tank example - Complete
    02:09
  • MEGA Application - Water tank example - exercise 1
    11:10
  • MEGA Application - Water tank example - exercise 2
    11:11
  • SIM: MEGA Application - Water tank example - exercise
    00:51
  • MEGA Application - Water tank mass flow- use derivatives to get it
    15:57
  • Distance VS Position vectors - what's the difference
    16:14
  • Displacement VS Velocity VS Acceleration vectors - what's the difference
    14:29
  • Average displacement, velocity, and acceleration vectors - clarification
    01:57
  • Graph Displacement, Velocity, & Acceleration vectors
    08:31
  • Acceleration vector - intuition
    07:42
  • Vector derivatives - how do they work
    02:31

  • 2D Cartesian VS Polar coordinate systems - what are they
    Preview10:22
  • 3D Cartesian VS Cylindrical VS Spherical coordinate systems - what are they
    07:37
  • Apply 3 dimensional coordinate systems - when to use what
    07:08
  • Going from Polar to Cartesian
    06:15
  • Going from Cartesian to Polar
    03:20
  • Going between 3 dimensional coordinate systems - how to switch between them
    09:47

  • Preview07:32
  • Preview07:03
  • SIM: MEGA Application: Landing simulation
    03:22
  • MEGA Application - Airplane flying in an oscillatory way (in 2D)
    11:25
  • MEGA Application - Airplane's velocity and acceleration in 2D
    18:09
  • SIM: MEGA Application - Sin trajectory simulation
    05:31
  • MEGA Application - Airplane doing circles in 2D - Cartesian & Polar coordinates
    16:29
  • MEGA Application - Airplane doing circles in 2D - Velocity & Acceleration
    17:41
  • SIM: MEGA Application - Circle simulation
    07:28
  • MEGA Application - Airplane flying in a spiral in 3D
    14:47
  • MEGA Application - Python simulation of different 3D spiral trajectories
    07:57
  • Preview02:44
  • SIM: MEGA Application - 3D trajectories - simulation 2
    01:35
  • SIM: MEGA Application - 3D trajectories - simulation 3
    03:06
  • SIM: MEGA Application - 3D trajectories - simulation 4
    02:38
  • SIM: MEGA Application - 3D trajectories - simulation 5
    01:14
  • Preview19:00
  • MEGA Application - 2 joint robot - 2 joints rotating simultaneously
    10:03
  • MEGA Application - 2 joint robot - assigning multiple reference frames
    14:32
  • MEGA Application - 2 joint robot - describing a point in two different frames
    08:43
  • MEGA Application - 2 joint robot - deriving a 2D rotational matrix
    12:58
  • MEGA Application - 2 joint robot - describing rotating and translating joints
    18:45
  • MEGA Application - 2 joint robot - joints rotating at different frequencies
    09:26
  • MEGA Application - 2 joint robot - Python simulation of the arm's trajectory
    07:29
  • SIM: MEGA Application - 2 joint robot - simulation 1
    04:27
  • SIM: MEGA Application - 2 joint robot - simulation 2
    03:24
  • 3D Rotational matrix - how to derive it 1
    18:19
  • 3D Rotational matrix - how to derive it 2
    11:05
  • 3D Rotational matrix - how to derive it 3
    12:50
  • Spiral - Final shape
    1 question

  • Implicit functions - what are they and how to graph them
    13:22
  • Implicit function derivatives - how to take them
    11:42
  • Expanding function dimensions 1
    06:40
  • Expanding function dimensions 2
    06:28
  • Machine Learning example - how to apply multidimensionality
    16:50
  • Partial derivatives - intro 1
    Preview15:06
  • Partial derivatives - intro 2
    14:51
  • Partial derivatives - intro 3
    13:47
  • Higher dimensional partial derivatives & its graph
    12:57
  • Airplane example - Chain rule in parametric equations - partial derivatives 1
    06:37
  • Airplane example - Chain rule in parametric equations - partial derivatives 2
    09:46
  • Multilevel partial derivatives - how to take them
    15:17
  • Gradient - what is it and how to find it
    07:33
  • Taylor Series - what is it and how to formulate it 1
    16:57
  • Taylor Series - what is it and how to formulate it 2
    19:42
  • Linearization and Quadratic Approximation - what is it and how to do it
    28:24
  • Multidimensional linearization - practical exercise
    22:44
  • Multidimensional quadratic approximation - Hessian Matrix
    16:46
  • Representing a system mathematically, in vector-matrix form, and block diagrams
    18:20

  • Discrete VS Continuous functions - what's the difference
    Preview10:44
  • Intro to Integrals - The area of the wall calculation 1
    Preview10:30
  • Intro to Integrals - The area of the wall calculation 2
    Preview14:36
  • Integrals - what's the meaning of it 1
    11:56
  • Integrals - what's the meaning of it 2
    13:10
  • Integrals - what's the meaning of it 3
    13:42
  • Integrals - what's the meaning of it 4
    17:47
  • Indefinite Integrals VS Definite Integrals - what's the difference
    15:02
  • Definite Integrals - Area of the wall calculation 1
    22:04
  • Definite Integrals - Area of the wall calculation 2
    12:40
  • Improper Integrals - made intuitive
    20:42
  • Definite Integrals - formal definition
    20:41
  • Area of a circle & initial conditions - integrals applied
    13:29
  • Area of a circle - 2nd approach - integrals applied
    13:58
  • Volume of a solid - integrals applied
    15:58
  • Integration by parts - where it comes from and how to apply it
    14:03
  • Curve length calculation - integrals applied 1
    16:19
  • Curve length calculation - integrals applied 2
    10:26
  • Spiral length calculation in 3D - integrals applied
    12:31
  • Spiral trajectory length
    1 question

Instructor

Mark Misin
Aerospace & Robotics Engineer
Mark Misin
  • 4.5 Instructor Rating
  • 341 Reviews
  • 2,765 Students
  • 2 Courses

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.

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