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Calculus 1 Fundamentals

Master the building blocks of Calculus : Limits & Derivatives
Tanmay Varshney
1,923 students enrolled
Limits: Conceptual understanding of limits,various rules and theorems including the handy ones: The L’Hospital rule and the Sandwich theorem to deal with all kind of problems related to limits.
Derivatives: Finding derivatives of all functions,The First principle of derivative,the Product Rule,the Quotient rule along with the most important,The Chain rule.
A lot of practice problems and quizzes along with exposure to problems useful in competitive exams also.

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Calculus is the study of change with its primary focus on:

1. Rate of Change (Differentiation Calculus)

2. Accumulation (Integral Calculus)

Calculus is used in every branch of the physical sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a problem can be mathematically modeled and an optimal solution is desired.

It allows one to go from (non-constant) rates of change to the total change or vice versa, and many times in studying a problem we know one and are trying to find the other.

In this course, we will be covering the building blocks of Calculus : Limits and Derivatives(Differential Calculus) in an interactive manner with the help of 15+ video lectures, miscellaneous examples, quizzes and solutions.

Calculus Fundamentals: 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.

Calculus Fundamentals: 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.

Calculus Fundamentals: Section 3 – FORMULAE & REFERENCES

  • For a quick glance over the formulae and notations used throughout the course.


Enrol in this course, Learn the fundamentals and Master the calculus.


Updated now with Practice Worksheets for Limits and Derivatives – The MORE you practice, the BETTER you become.


You can view and review the lecture materials indefinitely, like an on-demand channel.
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3 hours on-demand video
4 articles
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