Welcome to Calculus Level 1 - Learn Differentiation, the course that will turn you into a differentiation expert. This course is the perfect stepping-stone to ignite your passion for calculus and launch you into the world of mathematical complexities with ease. We've designed this Calculus Level 1 - Learn Differentiation course to be your comprehensive guide, taking you from basic rules to advanced techniques in the realm of differentiation.
In the initial sections, you'll find a clear, understandable introduction to the field of calculus and the fundamental rules of differentiation. We will then be diving into the differentiation of trigonometric, exponential, and logarithmic functions. This will equip you with the tools to handle any type of function thrown your way. As we progress, the course will gently introduce the Chain Rule and strengthen your understanding of it, making complex calculations a breeze.
The advanced sections venture into intriguing areas like the differentiation of inverse and hyperbolic trig functions, implicit functions, and parametric functions. Techniques like Logarithmic Differentiation and the understanding of higher order derivatives are broken down and explained in an easy-to-digest manner.
You will not only have mastered the skill of differentiation after completing the Calculus Level 1 - Learn Differentiation course, but you will also have laid a solid basis for higher calculus. This course combines theory, problem-solving, and revision portions, making it ideal for people new to the field and those wishing to improve their knowledge. Join us on this mathematical adventure to discover the brilliance of calculus in a whole new light. Sign up now!
Learning Outcomes:
Upon completion of the Calculus Level 1 - Learn Differentiation course, you should be able to:
Understand the basics and fundamental principles of differentiation.
Differentiate trigonometric and exponential functions with ease.
Master the application of the Chain Rule in differentiation.
Execute differentiation of inverse and hyperbolic trig functions.
Comprehend and apply differentiation to implicit functions.
Gain proficiency in logarithmic differentiation.
Derive and solve higher order derivative functions.
Who is this course for?
This course is perfect for:
High school students seeking a firm grasp on calculus.
Undergraduates looking to bolster their mathematics foundation.
Professionals needing a refresher course in calculus.
Aspiring mathematicians and engineers who use calculus extensively.
Career Path:
Upon completion of the Calculus Level 1 - Learn Differentiation course, you open up a world of opportunities. This foundational knowledge in calculus can lead you to a wide range of careers in fields such as engineering, physics, computer science, economics, and more. Further, it serves as a stepping-stone for advanced studies in mathematics, paving the path for academic and research roles. This course ensures you have the mathematical prowess required in today's data-driven world.
Certification
After studying the course materials of the Calculus Level 1 - Learn Differentiation there will be a written assignment test which you can take either during or at the end of the course. After successfully passing the test you will be able to claim the pdf certificate for £5.99. Original Hard Copy certificates need to be ordered at an additional cost of £9.60.
Prerequisites
This Calculus Level 1 - Learn Differentiation does not require you to have any prior qualifications or experience. You can just enrol and start learning.This Calculus Level 1 - Learn Differentiation was made by professionals and it is compatible with all PC's, Mac's, tablets and smartphones. You will be able to access the course from anywhere at any time as long as you have a good enough internet connection.
Course Curriculum
Section 01: Introduction
Module 01: Promotional video 00:02:00
Module 02: Quick Guide 00:01:00
Section 02: Fundamental Rules for Differentiation
Module 01: Power Rule 00:14:00
Module 02: Practice Problems Part 1 00:09:00
Module 03: Practice Problems Part 2 00:06:00
Module 04: Product Rule 00:13:00
Module 05: Quotient Rule 00:06:00
Module 06: Chain Rule For Differentiation 00:10:00
Section 03: Differentiation of Trigonometric Functions
Module 01: Derivatives of Trigonometric functions 00:08:00
Module 02: Product Rule with Trigonometric Functions 00:11:00
Module 03: Quotient Rule with Trigonometric Functions 00:13:00
Module 04: Chain Rule with Trigonometric Functions Part 1 00:11:00
Module 05: Chain Rule with Trigonometric Functions Part 2 00:10:00
Module 06: Chain Rule with Trigonometric Functions Part 3 00:10:00
Section 04: Differentiation of Exponential Functions
Module 01: Exponential Derivatives 00:13:00
Module 02: Chain Rule for Exponential Functions 00:14:00
Module 03: Derivatives of Exponential functions involving Trig Functions 00:12:00
Section 05: Differentiation of Logarithmic Functions
Module 01: Derivatives of Logarithmic functions Part 1 00:09:00
Module 02: Derivatives of Logarithmic functions Part 2 00:10:00
Module 03: Derivatives of Logarithmic functions Part 3 00:06:00
Module 04: Problems involving Logarithmic and Trig functions part 1 00:09:00
Module 05: Problems involving Logarithmic and Trig functions part 2 00:07:00
Module 06: Problems involving Logarithmic and Trig functions part 3 00:05:00
Section 06: Revision Section 0on Chain Rule
Module 01: Revision of Chain Rule Part 1 00:08:00
Module 02: Revision of Chain Rule Part 2 00:12:00
Module 03: Practice Problems Part 1 00:09:00
Module 04: Practice Problems Part 2 00:07:00
Section 07: Differentiation of inverse Trig Function
Module 01: Derivatives of Inverse Trig Functions Part 1 00:09:00
Module 02: Derivatives of Inverse Trig Functions Part 2 00:11:00
Section 08: Differentiation of Hyperbolic Trig Functions
Module 01: Derivatives of Hyperbolic Trig functions part 1 00:07:00
Module 02: Derivatives of Hyperbolic Trig functions part 2 00:07:00
Module 03: Derivatives of Inverse Hyperbolic Trig functions 00:09:00
Section 09: Differentiation of Implicit functions
Module 01: Differentiation of Implicit functions Part 1 00:11:00
Module 02: Differentiation of Implicit functions Part 2 00:06:00
Module 03: Differentiation of Implicit functions involving Trig functions-1 00:16:00
Module 04: Differentiation of Implicit functions involving Trig functions-2 00:10:00
Section 10: Logarithmic Differentiation
Module 01: Logarithmic Differentiation Part 1 00:13:00
Module 02: Logarithmic Differentiation Part 2 00:07:00
Module 03: Logarithmic Differentiation Part 3 00:13:00
Module 04: Logarithmic Differentiation Part 4 00:08:00
Module 05: Logarithmic Differentiation Part 5 00:10:00
Module 06: Logarithmic Differentiation Part 6 00:09:00
Module 07: Logarithmic Differentiation Part 7 00:11:00
Section 11: Differentiation of Parametric Functions
Module 01: Differentiation of Parametric Functions Part 1 00:12:00
Module 02: Differentiation of Parametric Functions Part 2 00:09:00
Module 03: Differentiation of a function w. r. t. another function Part 1 00:11:00
Module 04: Differentiation of a function w. r. t. another function Part 2 00:05:00
Section 12: Differentiation of Higher order derivatives
Module 01: Higher order derivatives Part 1 00:09:00
Module 02: Higher order derivatives Part 2 00:04:00
Module 03: Higher order derivatives Part 3 00:10:00
Module 04: Higher order derivatives Part 4 00:09:00
Module 05: Higher Order Derivatives involving Trig Functions 00:06:00
Module 06: Second order derivatives with Parametric functions 00:13:00