Calculus 1 Fundamentals: Limits & Derivatives

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.

• Calculus Fundamentals : Overview
• Introduction to Limits
• Concept of Limits
• Existence of Limits
• Examples
• Algebra of Limits
• The L'Hospital Rule
• The Sandwich Theorem
• Limits of trigonometric functions
• Limits at Infinity
• Miscellaneous Examples-Limits
• Introduction to Derivatives
• Concept of Derivatives
• First principle of Derivative
• Algebra of Derivatives
• Derivative of common functions
• The Chain rule
• Miscellaneous examples-Derivatives