14 hours to Power Calculus: For all levels

Course Curriculum

Chapter 1: Limits

Lecture 1: Introduction to limits

Lecture 2: Existence of limits part 1

Lecture 3: Existence of limits part 2

Lecture 4: Undefined vs Indeterminate form

Lecture 5: Estimating limits from graphs

Lecture 6: Estimating limits from tables

Lecture 7: Properties of limits

Lecture 8: Algebraic method – Direct substitution part 1

Lecture 9: Algebraic method – Direct substitution part 2

Lecture 10: Algebraic method – Factorization part 1

Lecture 11: Algebraic method – Factorization part 2

Lecture 12: Algebraic method – Rationalization part 1

Lecture 13: Algebraic method – Rationalization part 2

Lecture 14: Algebraic method – Simplification part 1

Lecture 15: Algebraic method – Simplification part 2

Lecture 16: Continuity and its properties

Lecture 17: Types of discontinuity

Lecture 18: Continuity and Discontinuity – Practice questions part 1

Lecture 19: Continuity and Discontinuity – Practice questions part 2

Lecture 20: Continuity and Discontinuity – Practice questions part 3

Lecture 21: Continuity and Discontinuity – Practice questions part 4

Lecture 22: Infinite limits part 1

Lecture 23: Infinite limits part 2

Lecture 24: Limits at infinity – Introduction

Lecture 25: Limits at infinity – practice questions part 1 (Easy)

Lecture 26: Limits at infinity – practice questions part 2 (Medium)

Lecture 27: Limits at infinity – practice questions part 3 (Difficult)

Lecture 28: Optional | Limits at infinity – practice questions part 4 (Difficult)

Lecture 29: Optional | Limits at infinity – practice questions part 5 (Difficult)

Lecture 30: IVT – Introduction

Lecture 31: IVT – Practice questions

Lecture 32: Squeeze theorem

Chapter 2: Derivatives basic

Lecture 1: Graphical significance of derivative

Lecture 2: Significance of average rate of change of function

Lecture 3: Equation of secant line part 1

Lecture 4: Equation of secant line part 2

Lecture 5: Notation

Lecture 6: Limit definition of derivative

Lecture 7: Limit definition of derivative – practice problems part 1

Lecture 8: Limit definition of derivative – practice problems part 2

Lecture 9: Limit definition of derivative – practice problems part 3

Lecture 10: Estimating derivatives part 1

Lecture 11: Estimating derivatives part 2

Lecture 12: Estimating derivatives part 3

Lecture 13: Equation of tangent lines

Lecture 14: Non-Differentiability cases

Lecture 15: Differentiability – graphical practice questions

Lecture 16: Differentiability – algebraic practice questions

Lecture 17: Constant and Power rule of derivative

Lecture 18: Power rule of derivative – Practice questions part 1

Lecture 19: Power rule of derivative – Practice questions part 2

Lecture 20: Sum, difference and other rule of derivative

Lecture 21: Sum, difference and other rule of derivative – practice questions part 1

Lecture 22: Sum, difference and other rule of derivative – practice questions part 2

Lecture 23: Sum, difference and other rule of derivative – practice questions part 3

Lecture 24: Sum, difference and other rule of derivative – practice questions part 4

Lecture 25: Exp and Log rule of derivative

Lecture 26: Exponent and Log rule of derivative – practice questions part 1

Lecture 27: Exponent and Log rule of derivative – practice questions part 2

Lecture 28: Trig rule of derivative

Lecture 29: Trig rule of derivative – practice questions part 1

Lecture 30: Trig rule of derivative – practice questions part 2

Lecture 31: Product rule of derivative

Lecture 32: Product rule of derivative – practice questions part 1

Lecture 33: Product rule of derivative – practice questions part 2

Lecture 34: Quotient rule of derivative

Lecture 35: Quotient rule of derivative – practice questions

Lecture 36: Multiple rules – word problems part 1

Lecture 37: Multiple rules – word problems part 2

Lecture 38: Tangent line approximation

Lecture 39: Tangent line approximation – practice questions part 1

Lecture 40: Tangent line approximation – practice questions part 2

Chapter 3: Chain rule, Implicit differentiation, Higher order and other advanced topics

Lecture 1: Chain rule – Introduction

Lecture 2: Chain rule – Algebraic expressions – practice questions part 1

Lecture 3: Chain rule – Algebraic expressions – practice questions part 2

Lecture 4: Chain rule – Trigonometric expressions – part 1

Lecture 5: Chain rule – Trigonometric expressions – part 2

Lecture 6: Chain rule – exponential expressions

Lecture 7: Chain rule – logarithmic expressions – part 1

Lecture 8: Chain rule – logarithmic expressions – part 2

Lecture 9: Combination of rules – part 1

Lecture 10: Combination of rules – part 2

Lecture 11: Combination of rules – part 3

Lecture 12: Combination of rules – part 4

Lecture 13: Implicit differentiation – meaning?

Lecture 14: Implicit differentiation – practice part 1

Lecture 15: Implicit differentiation – practice part 2

Lecture 16: Implicit differentiation – practice part 3

Lecture 17: Implicit differentiation – practice part 4

Lecture 18: Inverse Trig rule of derivative

Lecture 19: Inverse Trig rule of derivative – practice questions

Lecture 20: Higher order derivatives – practice part 1

Lecture 21: Higher order derivatives – practice part 2

Lecture 22: Composite exponential rule of derivative – x^x type – practice part 1

Lecture 23: Composite exponential rule of derivative – x^x type – practice part 2

Chapter 4: Application of derivatives – Critical, Inflection, Optimization and more -Part 1

Lecture 1: Meaning of derivatives in context – word problems – part 1