Calculus 1 Fundamentals | Tanmay Varshney | Skillshare

# Calculus 1 Fundamentals

#### Tanmay Varshney, Software Developer, Math Tutor

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18 Videos (2h 51m)
• Calculus Fundamentals : Overview

3:22
• Introduction to Limits

0:51
• Concept of Limits

4:11
• Existence of Limits

8:17
• Examples

8:53
• Algebra of Limits

7:36
• The L'Hospital Rule

15:38
• The Sandwich Theorem

6:01
• Limits of trigonometric functions

8:03
• Limits at Infinity

15:36
• Miscellaneous Examples-Limits

19:10
• Introduction to Derivatives

0:42
• Concept of Derivatives

9:07
• First principle of Derivative

9:07
• Algebra of Derivatives

10:01
• Derivative of common functions

11:32
• The Chain rule

14:09
• Miscellaneous examples-Derivatives

19:09

Master the building blocks of Calculus :  Limits & Derivatives

Section 1 - LIMITS

• Concept of LimitsFor making you familiar with the notion of the Limit.
• Existence of Limits: Introduction to the Left Hand Limit and the Right Hand Limit.
• Algebra of Limits: Addition, Subtraction, Multiplication and Division in Limits.
• L’Hospital Rule: A handy tool to circumvent the common indeterminate forms when computing limits.
• The Sandwich Theorem: To evaluate limits of functions that can't be computed at a given point.
• Limits of Trigonometric Functions: To cover the important limit identities of trigonometric functions.
• Limits at Infinity: To evaluate limits at points tending to positive and negative infinity.

Section 2 - DERIVATIVES

• Concept of Derivatives: Meaning of the term "Derivative" in Mathematics.
• First Principle of Derivatives: The conventional way of computing derivatives.
• Algebra of Derivatives: Addition, Subtraction, Multiplication and Division in Derivatives.
• Derivatives of common functions: To set you free to calculate derivative of combination of any functions.
• The Chain Rule: To calculate the derivatives of composite functions no matter how complex they are.

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#### Tanmay Varshney

Software Developer, Math Tutor

I am working as a Software Developer. I am a Math Enthusiast too. I have been graduated in Computer Science (Major) along with Mathematics (Minor). During my experience in IT industry and graduation, I found out that Mathematics plays a pivotal role whether it is algorithmic coding or solving business related and real life complex problems. So, I am really passionate about sharing my knowledge in Mathematics to anybody who has a desire to learn and apply their Math Knowledge in numerous field...

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