Differential Calculus
About Course
Welcome to the World of Calculus Mastery!
Are you ready to embark on a journey that will not only transform the way you perceive mathematics but also empower you with tools that unlock a realm of possibilities? Join us in in this course, where you’ll dive headfirst into the fascinating world of Differential Calculus.
Why Do You Need This Course For?
In this course, we go beyond textbooks and traditional teaching methods. We’re not just about limits, derivatives, and equations. We’re about unleashing your potential to understand the fundamental building blocks of change and motion. Imagine being able to decipher the language of curves, understand the heartbeat of functions, and unveil the secrets hidden in mathematical landscapes.
What Will You Learn?
Module 1: Limits – Breaking Boundaries
Discover the art of approaching mathematical infinity, dancing with trigonometric functions, and mastering the mystical Squeeze Theorem. Limits are not just mathematical hurdles; they’re gateways to understanding continuity, the heartbeat of functions, and the essence of calculus itself.
Module 2: Derivatives – Crafting Curves
Derivatives aren’t just about finding slopes; they’re about unraveling the story behind every curve. From tangents that touch the soul of functions to the Chain Rule that weaves the fabric of complex expressions, you’ll gain the power to see and shape the mathematical world around you.
Module 3: Advanced Derivation Techniques – Artistry in Calculus
Enter the realm of mathematical artistry! Implicit differentiation becomes your brush, logarithmic techniques your palette. The Inverse Function Theorem is your guide through the landscapes of inverse functions. You’ll elevate your skills to higher dimensions, exploring the poetry of higher order derivatives and the precision of linear approximation.
Module 4: Applications to Derivatives – Real-World Mastery
It’s time to apply your newfound calculus superpowers! Become the detective of mathematical mysteries using the Mean Value Theorem. Find peaks and valleys, navigate through inflection points, and conquer optimization problems. L’Hôpital’s Rule and the Newton-Raphson method are your secret weapons for tackling even the most elusive mathematical challenges.
Why is this Course Essential?
Beyond acing exams, mastering Differential Calculus opens doors to a multitude of fields. Whether you’re venturing into physics, engineering, economics, or data science, the ability to understand change on a fundamental level is your passport to success. This course is your key to unlocking advanced subjects, paving the way for your academic and professional journey.
What Awaits You After This Course?
Complete this course, and you’re not just gaining knowledge; you’re acquiring a skill set that’s the backbone of scientific exploration and innovation. From conquering multivariable calculus to delving into the mysteries of differential equations, you’ll be ready to take on the challenges of advanced mathematical landscapes.
So, are you ready to unleash your potential? Join us and redefine your relationship with mathematics. Let’s embark on this adventure together!
Course Content
Limits & Continuity
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The Concept of Limits
02:39 -
Lateral Limits
03:55 -
The Laws of Limits
04:52 -
First Quiz
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Indetermination Form
03:02 -
Trigonometric Limits
04:38 -
Squeeze Theorem
03:30 -
Second Quiz
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Continuity (Part I)
03:53 -
Continuity (Part II)
03:08 -
Intermediate Value Theorem
02:17 -
Third Quiz
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Limits to Infinity (Part I)
07:18 -
Limits to Infinity (Part II)
03:05 -
Fourth Quiz
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Oblique Asymptotes
01:49