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 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
-
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.
Class Projects See All
No projects have
been added yet
No projects have
been added yet
No projects have
been added yet
No projects have
been added yet
Students
Projects
-
- --
- Beginner
- Intermediate
- Advanced
- All Levels
- Beg/Int
- Int/Adv
Level
Community Generated
The level is determined by a majority opinion of students who have reviewed this class. The teacher's recommendation is shown until at least 5 student responses are collected.
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...