# Calculus

**Chapter 1: Limits**

Lesson 1: The Origins of Calculus

Lesson 2: The Tangent Problem

Lesson 3: The Area Problem

Lesson 4: Finding the Slope of a Tangent Line Part 1

Lesson 5: Finding the Slope of a Tangent Line Part 2

Lesson 6: Finding the Slope of a Tangent Line Part 3

Lesson 7: Finding the Slope of a Tangent Line Part 4

Lesson 8: Summary of the Tangent Problem

Lesson 9: Another Notation for Slope of a Tangent Line

Lesson 10: Introduction to the Concept of Limits

Lesson 11: The Limit Notation

Lesson 12: Evaluating One Sided Limits and General Limits Graphically

Lesson 13: Left Hand Limit and Right Hand Limit of a Function

Lesson 14: Limit of a Constant Function

Lesson 15: Limit of the Identity Function

Lesson 16: Limit of Sum and Difference of Functions

Lesson 17: Limit of Product of Functions

Lesson 18: Limit of the nth Power of Function

Lesson 19: Limit of Polynomial Functions

Lesson 20: Limit of the Quotient of Two Functions

Lesson 21: Limit of nth root of a function

Lesson 22: Calculating Limits Part 1 (Factoring Method)

Lesson 23: Calculating Limits Part 2 (Factoring Method)

Lesson 24: Calculating Limits Part 3 (Synthetic Division)

Lesson 25: Calculating Limits Part 4 (Expansion)

Lesson 26: Calculating Limits Part 5 (Conjugate Method)

Lesson 27: Calculating Limits Part 6 (Conjugate Method)

Lesson 28: Calculating Limits of Piecewise Functions Part 1

Lesson 29: Calculating Limits of Piecewise Functions Part 2

Lesson 30: Calculating Limits of Piecewise Functions Part 3

Lesson 31: Calculating Limits of Piecewise Functions Part 4

Lesson 32: Calculating Limits of Piecewise Functions Part 5

Lesson 33: Infinite Limits Part 1

Lesson 34: Infinite Limits Part 2

Lesson 35: Infinite Limits Part 3

Lesson 36: Infinite Limits Part 4

Lesson 37: Infinite Limits Part 5 – Graphical Represenation

Lesson 38: Infinite Limits Part 6 – Vertical Asymptotes

Lesson 39: Infinite Limits Part 7

Lesson 40: Infinite Limits Part 8

Lesson 41: Limits at Infinity – Basic Concepts

Lesson 42: Limits at Infinity Part 2 – Limits of 1 over x raised to r

Lesson 43: Limits at Infinity Sample Problem 1

Lesson 44: Limits at Infinity Sample Problem 2

Lesson 45: Limits at Infinity Sample Problem 3

Lesson 46: Limits at Infinity of Rational Functions

Lesson 47: Limits at Infinity and Degree of Rational Functions

Lesson 48: Limits at Infinity and their Graphs

Lesson 49: Intuitive Meaning of Continuity

Lesson 50: Definition of Continuity of a Function at a Number

Lesson 51: Understanding the Definition of Continuity

Lesson 52: Continuity at a Point Sample Problem 1 (Removable Discontinuity)

Lesson 53:Continuity at a Point Sample Problem 2 (Infinite Discontinuity)

Lesson 54: Sample Problem on Continuity Part 3

Lesson 55: Sample Problem on Continuity Part 4

Lesson 56: Continuous and Discontinuous Functions – Summary

**Chapter 2: Derivatives**

Lesson 1: The Concept and Definition of Derivative

Lesson 2: Finding the Slope of a Line Tangent to a Curve at Any Point

Lesson 3: Finding the Slope of a Line Tangent to a Curve at a Particular Point

Lesson 4: Finding the Derivative Using the Definition of Derivative Part 1

Lesson 5: Finding the Derivative Using the Definition of Derivative Part 2

Lesson 6: Finding the Derivative Using the Definition of Derivative Part 3

Lesson 7: Finding the Derivative Using the Definition of Derivative Part 4

Lesson 8: Finding the Derivative Using the Definition of Derivative Part 5

Lesson 9: Finding the Derivative Using the Definition of Derivative Part 6

Lesson 10: Graphs of Derivative at a Point at Derivative at Any Point

Lesson 11: Notations for Derivative

Lesson 12: Differentiation Formula: Derivative of a Constant

Lesson 13: Differentiation Formula: The Power Rule

Lesson 14: Power Rule: Worked Examples Part 1

Lesson 15: Power Rule: Worked Examples Part 2

Lesson 16: Review of Constant Rule, Constant Multiple Rule, Power Rule

Lesson 17: Differentiation Formula: The Sum and Difference Rule

Lesson 18: Derivative Practice Problems Part 1