Master the building blocks of Calculus:Â Limits & Derivatives
Section 1 -Â LIMITS
- Concept of Limits: For making you familiar with the notion of the Limit.
- Existence of Limits:Â Introduction to the Left-Hand Limit and the Right-Hand Limit.
- Algebra of Limits:Â 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:Â 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:Â To evaluate limits at points tending to positive and negative infinity.
Section 2Â -Â DERIVATIVES
- Concept of Derivatives:Â Meaning of the term "Derivative" in Mathematics.
- First Principle of Derivatives:Â The conventional way of computing derivatives.
- Algebra of Derivatives:Â 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.