Intuition Matters: Applied Calculus For Engineers – Part One

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This course is designed for those interested to learn the basics of Calculus, develop a strong intuition and understanding of the subject and be able to apply it in real life.

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About This Coursebeginner

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! Try out 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

Who this course is for:

  • Science and Engineering students
  • Working Scientists and Engineers

Our Promise to You

By the end of this course, you will have learned Calculus and its real life applications.

30 Day Money Back Guarantee. If you are unsatisfied for any reason, simply contact us and we’ll give you a full refund. No questions asked.

Get started today and learn more about intuition and applied Calculus.

Course Curriculum

Course Sections

Functions – What Are They – High School Review 1

Functions – What Are They – High School Review 2

Simulation: Straight Line Functions In Motion

Practice Functions – Airplane Homework

Abstract World Vs Real World – 1

Abstract World Vs Real World – 2

Straight Line Functions – How To Manipulate Them

Inverse Functions – What Are They And How To Find Them

Find Inverse Functions – Example

Parabolic Functions – How To Manipulate Them

Cubic Functions – How To Manipulate Them

Simulation: Car Race Exercise – Who Will Win The Race?

Simulation: Car Race Exercise – Who Will Win The Race – Solution

What Is A Function, What Is Not – 1

What Is A Function, What Is Not – 2

Inverse Function Of A Parabola – How To Find It

Inverse Function Of A Cubic Function- How To Find It

Functions In General Form – How To Manipulate Them

Simulation: General Functions In Motion

Piecewise Defined Functions – How To Form Them

How To Shift Functions

How To Do Function Operations

Practice Function Operations

Quadratic Function Roots – How To Get Them 1

Quadratic Function Roots – How To Get Them 2

Which Terms Dominate In Functions

Simulation: 3 Airplane Race – Who Wins, And When?

Pi Number And Circumference Of A Circle – What Are They And How To Get Them

Radians Vs Degrees And How To Get The Arc Length Of A Circle

Sine Function – Where Does It Come From

Cosine And Tangent Function – Where Do They Come From

Inverse Of Trigonometric Functions – How To Get Them

Practice Trigonometric Functions – Exercises

Abstract Vs Real – Aerospace Engineering Example

Simulation: Avoid The Crash – Exercise

Simulation: Avoid The Crash – Solution 1

Simulation: Avoid The Crash – Solution 2

Simulation: Avoid The Crash – Solution 3

Simulation: Avoid The Crash – Solution 4

Simulation: Avoid The Crash – Solution 5

Simulation: Avoid The Crash – Solution 6

Simulation: Avoid The Crash – Solution 7

Simulation: Avoid The Crash – Solution 8

Simulation: Avoid The Crash – Solution 9

Simulation: Avoid The Crash – Solution 10

2 Variable Function – How To Apply It To A Simple Airplane Example

3 Variable Function – How To Apply It To A Simple Airplane Example

What Is A Function And What Is Not – Multidimensional Functions

Variable Equaling Vs Approaching Something – What’s The Difference

Variable Approaching Infinity – What Happens

Smart Financial Decision Using Limits – How To Do It

Manipulate Trigonometric Functions In Different Ways – How

Model A Wave With A Trigonometric Function – How

Get From A Sine To A Cosine Function – Exercise

Practice Limits On A Trigonometric Function – Does The Limit Exist?

Simulation: Limit Simulation

Simulation: Sin_limit Simulation

Derivatives – What Are They – Falling Sphere Example 1

Derivatives – What Are They – Falling Sphere Example 2

Derivatives – What Are They – Falling Sphere Example 3

Simulation: Earth, Mars, Moon – Exercise

Simulation: Earth, Mars, Moon – Solution

Derivatives – What Are They – Multidimensional Point Of View

Practice Your Derivative Intuition – Exercises

Chain Rule – How To Apply It To A Multi Link Problem – Water Pipe Example 1

Chain Rule – How To Apply It To A Multi Link Problem – Water Pipe Example 2

Differential Operators – What Are They And How To Apply Them

Multilevel Derivatives – Double, Triple, Quadruple

Derivative Rules – Shortcuts 1 1

Derivative Rules – Shortcuts 2

Implicit Vs Explicit Functions – Chain Rule – Water Pipe Example

Derivative Rules – Big Exercise

Trigonometric Function Derivatives – How To Take Them 1

Trigonometric Function Derivatives – How To Take Them 2

Minimize The Material Used To Produce A Can – How To Apply Derivatives 1

Minimize The Material Used To Produce A Can – How To Apply Derivatives 2

Minimize The Material Used To Produce A Can – How To Apply Derivatives 3

Exponential Functions – What Are They – How To Manipulate Them

Logarithmic Functions And Log Scale – What Are They & Derivatives

Maximize Your Profit – How To Apply Derivatives For That

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