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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 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.
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
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.
Instructors: Tanmay Varshney