Overview
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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 the derivative of combination of any functions.
- The Chain Rule: To calculate the derivatives of composite functions no matter how complex they are.
