About This Course
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
Section 1 - Single Variable Functions | |||
Functions – What Are They – High School Review 1 | 00:00:00 | ||
Functions – What Are They – High School Review 2 | 00:00:00 | ||
Simulation: Straight Line Functions In Motion | 00:00:00 | ||
Installing The Python Environment And Its Libraries – Linux Ubuntu | 00:00:00 | ||
Installing The Python Environment And Its Libraries – Windows 10 | 00:00:00 | ||
The Simulation Python Codes | 00:00:00 | ||
Practice Functions – Airplane Homework | 00:00:00 | ||
Abstract World Vs Real World – 1 | 00:00:00 | ||
Abstract World Vs Real World – 2 | 00:00:00 | ||
Straight Line Functions – How To Manipulate Them | 00:00:00 | ||
Inverse Functions – What Are They And How To Find Them | 00:00:00 | ||
Find Inverse Functions – Example | 00:00:00 | ||
Parabolic Functions – How To Manipulate Them | 00:00:00 | ||
Cubic Functions – How To Manipulate Them | 00:00:00 | ||
Simulation: Car Race Exercise – Who Will Win The Race? | 00:00:00 | ||
Simulation: Car Race Exercise – Who Will Win The Race – Solution | 00:00:00 | ||
What Is A Function, What Is Not – 1 | 00:00:00 | ||
What Is A Function, What Is Not – 2 | 00:00:00 | ||
Inverse Function Of A Parabola – How To Find It | 00:00:00 | ||
Inverse Function Of A Cubic Function- How To Find It | 00:00:00 | ||
Functions In General Form – How To Manipulate Them | 00:00:00 | ||
Simulation: General Functions In Motion | 00:00:00 | ||
Piecewise Defined Functions – How To Form Them | 00:00:00 | ||
How To Shift Functions | 00:00:00 | ||
How To Do Function Operations | 00:00:00 | ||
Practice Function Operations | 00:00:00 | ||
Quadratic Function Roots – How To Get Them 1 | 00:00:00 | ||
Quadratic Function Roots – How To Get Them 2 | 00:00:00 | ||
Which Terms Dominate In Functions | 00:00:00 | ||
Simulation: 3 Airplane Race – Who Wins, And When? | 00:00:00 | ||
Section 2 - Trigonometric Functions | |||
Pi Number And Circumference Of A Circle – What Are They And How To Get Them | 00:00:00 | ||
Radians Vs Degrees And How To Get The Arc Length Of A Circle | 00:00:00 | ||
Sine Function – Where Does It Come From | 00:00:00 | ||
Cosine And Tangent Function – Where Do They Come From | 00:00:00 | ||
Inverse Of Trigonometric Functions – How To Get Them | 00:00:00 | ||
Practice Trigonometric Functions – Exercises | 00:00:00 | ||
Abstract Vs Real – Aerospace Engineering Example | 00:00:00 | ||
Simulation: Avoid The Crash – Exercise | 00:00:00 | ||
Simulation: Avoid The Crash – Solution 1 | 00:00:00 | ||
Simulation: Avoid The Crash – Solution 2 | 00:00:00 | ||
Simulation: Avoid The Crash – Solution 3 | 00:00:00 | ||
Simulation: Avoid The Crash – Solution 4 | 00:00:00 | ||
Simulation: Avoid The Crash – Solution 5 | 00:00:00 | ||
Simulation: Avoid The Crash – Solution 6 | 00:00:00 | ||
Simulation: Avoid The Crash – Solution 7 | 00:00:00 | ||
Simulation: Avoid The Crash – Solution 8 | 00:00:00 | ||
Simulation: Avoid The Crash – Solution 9 | 00:00:00 | ||
Simulation: Avoid The Crash – Solution 10 | 00:00:00 | ||
Section 3 - Multidimensional Functions | |||
2 Variable Function – How To Apply It To A Simple Airplane Example | 00:00:00 | ||
3 Variable Function – How To Apply It To A Simple Airplane Example | 00:00:00 | ||
What Is A Function And What Is Not – Multidimensional Functions | 00:00:00 | ||
Section 4 - Limits | |||
Variable Equaling Vs Approaching Something – What’s The Difference | 00:00:00 | ||
Variable Approaching Infinity – What Happens | 00:00:00 | ||
Smart Financial Decision Using Limits – How To Do It | 00:00:00 | ||
Manipulate Trigonometric Functions In Different Ways – How | 00:00:00 | ||
Model A Wave With A Trigonometric Function – How | 00:00:00 | ||
Get From A Sine To A Cosine Function – Exercise | 00:00:00 | ||
Practice Limits On A Trigonometric Function – Does The Limit Exist? | 00:00:00 | ||
Simulation: Limit Simulation | 00:00:00 | ||
Simulation: Sin_limit Simulation | 00:00:00 | ||
Section 5 - Derivatives - Single Variable | |||
Derivatives – What Are They – Falling Sphere Example 1 | 00:00:00 | ||
Derivatives – What Are They – Falling Sphere Example 2 | 00:00:00 | ||
Derivatives – What Are They – Falling Sphere Example 3 | 00:00:00 | ||
Simulation: Earth, Mars, Moon – Exercise | 00:00:00 | ||
Simulation: Earth, Mars, Moon – Solution | 00:00:00 | ||
Derivatives – What Are They – Multidimensional Point Of View | 00:00:00 | ||
Practice Your Derivative Intuition – Exercises | 00:00:00 | ||
Chain Rule – How To Apply It To A Multi Link Problem – Water Pipe Example 1 | 00:00:00 | ||
Chain Rule – How To Apply It To A Multi Link Problem – Water Pipe Example 2 | 00:00:00 | ||
Differential Operators – What Are They And How To Apply Them | 00:00:00 | ||
Multilevel Derivatives – Double, Triple, Quadruple | 00:00:00 | ||
Derivative Rules – Shortcuts 1 1 | 00:00:00 | ||
Derivative Rules – Shortcuts 2 | 00:00:00 | ||
Implicit Vs Explicit Functions – Chain Rule – Water Pipe Example | 00:00:00 | ||
Derivative Rules – Big Exercise | 00:00:00 | ||
Trigonometric Function Derivatives – How To Take Them 1 | 00:00:00 | ||
Trigonometric Function Derivatives – How To Take Them 2 | 00:00:00 | ||
Minimize The Material Used To Produce A Can – How To Apply Derivatives 1 | 00:00:00 | ||
Minimize The Material Used To Produce A Can – How To Apply Derivatives 2 | 00:00:00 | ||
Minimize The Material Used To Produce A Can – How To Apply Derivatives 3 | 00:00:00 | ||
Exponential Functions – What Are They – How To Manipulate Them | 00:00:00 | ||
Logarithmic Functions And Log Scale – What Are They & Derivatives | 00:00:00 | ||
Maximize Your Profit – How To Apply Derivatives For That | 00:00:00 |