# 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