Calculus 1 Fundamentals
Tanmay Varshney, Software Developer, Math Tutor


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 ExamplesLimits
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 examplesDerivatives
19:09

About This Class
Master the building blocks of Calculus : Limits & Derivatives
Section 1  LIMITS
 Concept of Limits: For 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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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...