Larry Green's Calculus Videos
Limits Derivatives Applications of the Derivative Antiderivatives and Definite Integration
Logs, Exponents and Transcendental Functions Differential Equations Applications of Integration
Integration Techniques, L'Hopital's Rule, and Improper Integrals
A Preview of Calculus
Limits Graphically and Numerically
- Using Tables to Approximate Limits
- Using the Graph to Approximate a Limit
- Using the Graph to See that a Limit Does Not Exist
- Finding d Given e with the e-d Definition of the Limit
- Using the e-d Definition of the Limit
Limits Analytically
Continuity and One Sided Limits
- Limits, Continuity, and Graphs
- Finding Removable and Non-Removable Discontinuities
- Finding a One Sided Limit
- Continuity and Piecewise Functions
- Using the Intermediate Value Theorem to Show a Function has a zero
Asymptotes
Limit Definition of the Derivative
- Using the Limit Definition to Find the Derivative of a Rational Function
- Using the Limit Definition to Find the Derivative of a Function that Involves Roots
- Using the Limit Definition to Find the Equation of the Tangent Line
- Sketching the Graph of f '(x) Given the Graph of f(x) Coming Soon
Basic Derivative Rules
- Using the Power Rule to Find a Derivative
- Using the Derivative Rules to Find the Equation of the Tangent Line
- Using Algebra and the Power Rule to Find the Derivative
- Finding Impact Velocity
Product and Quotient Rules
- Using the Product Rule for Derivatives
- Using the Quotient Rule for Derivatives
- Finding a Second Derivative
The Chain Rule
- Using the Chain Rule for Derivatives
- Using the Chain and Product Rules Together
- Using the Chain Rule to Find the Equation of the Tangent Line
Implicit Differentiation
- Using Implicit Differentiation to Find a Derivative
- Using Implicit Differentiation to Find the Equation of a Tangent Line
- Using Implicit Differentiation to Find the Second Derivative
Applications of the Derivative
Related Rates
- Related Rates: An Expanding Balloon
- Related Rates: Changing the Angle of a Camera
- Related Rates: Finding the Change of a Shadow Length
- Related Rates: How Fast are Two Airplanes Approaching Each Other?
Critical Points and Extrema on an Interval
Rolle's Theorem and the Mean Value Theorem
- Checking the Conditions of Rolle's Theorem
- Find c Guaranteed by the Mean Value Theorem
- Using Rolle's Theorem to Show Velocities are Equal
- Proof of the Fixed Point Theorem Using the Mean Value Theorem
Increasing and Decreasing Functions and the First Derivative Test
- Determine When a Function is Increasing or Decreasing
- Apply the First Derivative Test to Locate and Classify Relative Extrema
Concavity and the Second Derivative Test
Limits at Infinity
- Finding a Limit as x Approaches Infinity
- Finding a Limit as x Approaches Negative Infinity
- Using the e-M Definition to Prove a Limit is 0
Calculus and Curve Sketching
- Sketching the Graph of a Polynomial
- Sketching a Graph With a Vertical Asymptote
- Sketching a Graph With Both Vertical Asymptotes and Horizontal Asymptotes
Optimization
- Finding the Minimum Surface Area of a Can
- Minimizing Transit Time
- Finding the Rectangle With Maximum Area That is Bounded by a Curve
Newton's Method
- Using Newton's Method to Approximate the Intersection of 2 Curves
- An Example Where Newton's Method Fails
Differentials
- Differentials and Comparing Dy and dy
- Using Differentials to Approximate a Square Root
- Using Differentials Graphically to Approximate a Function Value
- Using Differentials to Approximate Percent Propagated Error
- Using Differentials to Prove Relative Errors are Equal in Magnitude
Antiderivatives and Indefinite Integration
Antiderivatives
- Using the Power Rule to Integrate
- Solving a Differential Equation by Integrating
- Using Acceleration to Find a Maximum Height
Area
- Using Right Rectangles to Approximate Area
- Using Left Rectangles to Approximate Area
- Using the Limit Definition to Find Area
The Definite Integral
- Looking at a Graph and Setting Up a Definite Integral
- Using Geometry to Evaluate a Definite Integral
- Using the Properties of the Definite Integral
- Integrating a Piecewise Linear Function Using Its Graph
The Fundamental Theorem of Calculus
- Using the 1st Fundamental Theorem of Calculus
- Finding Area of a Region
- Finding the Average Value
- Using the 2nd Fundamental Theorem of Calculus
- The Chain Rule and the 2nd Fundamental Theorem
- Integration Props and the 2nd FTC
Substitution
Numerical Integration
- Using the Trapezoidal Rule to Approximate an Integral
- Using Simpson's Rule to Approximate an Integral
- Finding the Maximum Error in Simpson's Rule
- Find n to Approximate an Integral with the Trapezoidal Rule
Logs, Exponents and Transcendental Functions
Logs and Derivatives
Logs and Integrals
Inverse Functions
Exponential Functions
Other Bases
- The Derivative of an Exponential with a Non-constant Base
- Tangent Line with a Common Log
- Integration with Other Bases
Derivatives of Inverse Trig Functions
Integrals Involving Inverse Trig Functions
Hyperbolic Trig Functions
Differential Equations
Slope Fields and Euler's Method
- Matching Slope Fields to Differential Equations
- Verifying an Equation is a Solution to a Differential Equation
- Using Euler's Method
Growth and Decay
Separation of Variables and the Logistic Equation
Area Between Two Curves
Volume by Disks and Washers and Cross-Sections
- How to Use the Washer Method
- Revolving About a Line Below the x-axis
- Revolving About a Line Above the x-axis
- Volumes by Cross Section
Volumes by Cylindrical Shells
Arc Length and Surface Area
Work
- Using Hooke's Law
- Work to Send a Satellite Into Orbit
- Work Done Lifting a Chain
- Work Done Emptying a Tank
Center of Mass
Fluid Pressure
- Finding the Fluid Pressure on a Vertical Triangle
- Finding the Fluid Pressure on a Vertical Semi-Circle
Integration Techniques, L'Hopital's Rule and Improper Integrals
Integration by Parts
Integrating Powers of Trig Functions
Arc Trig Substitution
Partial Fractions
- Partial Fractions (Simple)
- Partial Fraction (One Factor is a Quadratic)
- Partial Fractions (Repeated Roots)
L'Hopital's Rule
- Applying L'Hopital's Rule Twice
- L'Hopital's Rule With Exponents
- L'Hopital's Rule of the Form 0 Times Infinity
Improper Integrals
Back to Math 105 Home (First Quarter Calculus)
Back to Math 106 Home (Second Quarter Calculus)
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Larry Green's Calculus Videos by Larry Green is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.