Канал: Brian Mulholland

7 The Chain Rule and Implicit Differentiation

7 The Chain Rule and Implicit Differentiation

9 General Region Double Integral Example A

9 General Region Double Integral Example A

6 Chain Rule Example with 2 variables Attempt 2

6 Chain Rule Example with 2 variables Attempt 2

8 Applications of Double Integral of General Regions

8 Applications of Double Integral of General Regions

5 Chain Rule Example with 2 variables

5 Chain Rule Example with 2 variables

7 Double Integrals over General Regions 2

7 Double Integrals over General Regions 2

5 Double Integrals Volume Application

5 Double Integrals Volume Application

2 Classifying Critical Points Example

2 Classifying Critical Points Example

1 Maxima and Minima Intro

1 Maxima and Minima Intro

8 Line Integral Final Example

8 Line Integral Final Example

5 Partial Derivative Example A

5 Partial Derivative Example A

Motion of a Particle and TNB Frame Part 2

Motion of a Particle and TNB Frame Part 2

Lecture 12 4 Cross Product Properties

Lecture 12 4 Cross Product Properties

4 Chain Rule Example A

4 Chain Rule Example A

Introduction to Planes

Introduction to Planes

The Derivative of Vector Valued Functions

The Derivative of Vector Valued Functions

7 Line Integral Example A

7 Line Integral Example A

Lecture 12 3 Dot Product and Projections

Lecture 12 3 Dot Product and Projections

Arclength Reparametrization

Arclength Reparametrization

4 Line Integrals with respect to x and y

4 Line Integrals with respect to x and y

5 Facts about Line Integrals

5 Facts about Line Integrals

6 Line Integrals and Work

6 Line Integrals and Work

Properties of Derivatives

Properties of Derivatives

6 Double Integrals over General Regions

6 Double Integrals over General Regions

Distance between a Point and a Plane

Distance between a Point and a Plane

8 Implicit Differentiation

8 Implicit Differentiation

6 Partial Derivative Example B

6 Partial Derivative Example B

Integrals of Vector Valued Functions

Integrals of Vector Valued Functions

4 Mathematica Partial Derivative Example

4 Mathematica Partial Derivative Example

Lecture 12 3 Dot Product Example

Lecture 12 3 Dot Product Example

Mathematica Ellipsoid

Mathematica Ellipsoid

4 Closed Domain Example

4 Closed Domain Example

7 Clairaut's Theorem

7 Clairaut's Theorem

Lecture 1 Distance Formula

Lecture 1 Distance Formula

2 Graphing Functions of Several Variables

2 Graphing Functions of Several Variables

Other Ways to Write Lines in 3D

Other Ways to Write Lines in 3D

Lecture 12 4 Cross Product Introduction

Lecture 12 4 Cross Product Introduction

Quadratic Surfaces

Quadratic Surfaces

3 Max and Min on Closed Domain

3 Max and Min on Closed Domain

Motion of a Particle and TNB Frame Part 1

Motion of a Particle and TNB Frame Part 1

Lecture 12 4 Cross Product Area Example

Lecture 12 4 Cross Product Area Example

Introduction and Angle between Intersecting Planes

Introduction and Angle between Intersecting Planes

1 Lagrange Introduction

1 Lagrange Introduction

Mathematica Cone

Mathematica Cone

Intersection of Lines and Planes

Intersection of Lines and Planes

Examples of Vector Valued Functions

Examples of Vector Valued Functions

3 Corollary of the Thereom

3 Corollary of the Thereom

Mathematica Connections between 1 and 2 Sheets

Mathematica Connections between 1 and 2 Sheets

2 Deriving the Formula for Lagrange Multipliers

2 Deriving the Formula for Lagrange Multipliers

9 Gradient Vector Field

9 Gradient Vector Field

Introduction to Motion in Space

Introduction to Motion in Space

1 Limits of Functions of Several Variables

1 Limits of Functions of Several Variables

4 Change of Variables Example

4 Change of Variables Example

5 Lagrange Multipliers with 2 Constraints

5 Lagrange Multipliers with 2 Constraints

Lecture 1 Properties of Vectors and Unit Vectors

Lecture 1 Properties of Vectors and Unit Vectors

Normal and Tangential Components of Acceleration

Normal and Tangential Components of Acceleration

3 Introduction to Partial Derivatives

3 Introduction to Partial Derivatives

Motion in Space Velocity, Position, and Acceleration

Motion in Space Velocity, Position, and Acceleration

1 Intro to Change of Variables

1 Intro to Change of Variables

Intersection of Surfaces

Intersection of Surfaces

Limits of Vector Valued Functions

Limits of Vector Valued Functions

Lecture 12 4 Cross Product 2 Theorems

Lecture 12 4 Cross Product 2 Theorems

Lecture 12 4 Cross Product and Torque

Lecture 12 4 Cross Product and Torque

2 Continuity and Functions of Several Variables

2 Continuity and Functions of Several Variables

Introduction to Lines

Introduction to Lines

2 Change of Variable Theorem for R2

2 Change of Variable Theorem for R2

Parallel, Skew, and Intersecting Lines

Parallel, Skew, and Intersecting Lines

1 Introduction to Functions of Several Variables

1 Introduction to Functions of Several Variables

Introduction to Vector Valued Functions

Introduction to Vector Valued Functions

TNB Frame Example

TNB Frame Example

6 Lagrange Multipliers Example C

6 Lagrange Multipliers Example C

Lecture 1 Coordinate Planes

Lecture 1 Coordinate Planes

Parallel Planes

Parallel Planes

Constructing a Plane

Constructing a Plane

Introduction to TNB Frame Real Version

Introduction to TNB Frame Real Version

Lecture 12 4 Cross Product Triple Product

Lecture 12 4 Cross Product Triple Product

Line Segements

Line Segements

5 Directional Derivative Final Example

5 Directional Derivative Final Example

1 Introduction to Directional Derivatives

1 Introduction to Directional Derivatives

Curvature Real Version

Curvature Real Version

8 Electricity and Gravity

8 Electricity and Gravity

Distance between Parallel Planes

Distance between Parallel Planes

Lecture 12 3 Dot Product Intro

Lecture 12 3 Dot Product Intro

4 Gradient and Tangent Spheres Example

4 Gradient and Tangent Spheres Example

Lecture 1 Vector Introduction

Lecture 1 Vector Introduction

5 Change of Variables in 3D

5 Change of Variables in 3D

Newton's Second Law with Example

Newton's Second Law with Example

Lecture 1 Vector Tension Example

Lecture 1 Vector Tension Example

Lecture 1 3D Coordinates

Lecture 1 3D Coordinates

4 Introduction to Spherical Coordinates

4 Introduction to Spherical Coordinates

Cylinders

Cylinders

6 Intro to Vector Fields

6 Intro to Vector Fields

Mathematica Hyperbolic Paraboloid

Mathematica Hyperbolic Paraboloid

Mathematica Elliptic Paraboloid

Mathematica Elliptic Paraboloid

3 Changing to Cyclinderical Coordinates and Back

3 Changing to Cyclinderical Coordinates and Back

2 Fast Rate of Change

2 Fast Rate of Change

4 Lagrange Multiplier Example B

4 Lagrange Multiplier Example B

3 Lagrange Multiplier Example A

3 Lagrange Multiplier Example A

Introduction to Arclength

Introduction to Arclength

Line of Intersection between 2 Planes

Line of Intersection between 2 Planes

Mathematica Paraboloid of 1 Sheet

Mathematica Paraboloid of 1 Sheet

Mathematica Paraboloid of 2 Sheets

Mathematica Paraboloid of 2 Sheets

7 Mathematica Vector Fields

7 Mathematica Vector Fields

3 Introduction to the Chain Rule

3 Introduction to the Chain Rule

3 Introduction to Surfaces and the Gradiant

3 Introduction to Surfaces and the Gradiant

10 Funky Regions Double Integral

10 Funky Regions Double Integral

4 Double Integral Example

4 Double Integral Example

9 Switch the Bounds of a Triple Integral

9 Switch the Bounds of a Triple Integral

5 Petal Integral Example

5 Petal Integral Example

8 The Chain Rule and Related Rates

8 The Chain Rule and Related Rates

6 Volume Using Polar Coordinates

6 Volume Using Polar Coordinates

1 Center of Mass

1 Center of Mass

1 Definition of Differentiability

1 Definition of Differentiability

5 Using Spherical Coordinates

5 Using Spherical Coordinates

1 Intro to Polar Coordinate Integration

1 Intro to Polar Coordinate Integration

1 Double Integrals

1 Double Integrals

3 Double Integrals 3

3 Double Integrals 3

2 Defintion of the Gradient

2 Defintion of the Gradient

2 Cylinderical Coordinates Intro

2 Cylinderical Coordinates Intro

7 Intro to the Triple Integral

7 Intro to the Triple Integral

2 Double Integrals B

2 Double Integrals B

9 Curl and Divergence

9 Curl and Divergence

8 Triple Integrals over More General Regions

8 Triple Integrals over More General Regions

3 Integrating in Polar Coordinates

3 Integrating in Polar Coordinates

3 Comments on Line Integrals

3 Comments on Line Integrals

1 Intro to Line Integrals

1 Intro to Line Integrals

2 General Polar Regions

2 General Polar Regions

2 Scalar Line Integrals and an Example

2 Scalar Line Integrals and an Example

4 Polar Integral Example

4 Polar Integral Example

2 Technical Bits of Fundamental Theorem of Line Integrals

2 Technical Bits of Fundamental Theorem of Line Integrals

6 Intro to Green's Theorem

6 Intro to Green's Theorem

3 Conservative Vector Fields

3 Conservative Vector Fields

7 Regions with Holes

7 Regions with Holes

5 Conservation of Energy

5 Conservation of Energy

8 Reformations of Green's Theorem

8 Reformations of Green's Theorem

1 Intro to Fundamental Theorem of Line Integrals

1 Intro to Fundamental Theorem of Line Integrals

4 Surface Area of Parametrized Surfaces

4 Surface Area of Parametrized Surfaces

3 Tangent Vectors of Parametrized Surfaces

3 Tangent Vectors of Parametrized Surfaces

5 Orientation Example

5 Orientation Example

2 Some Examples

2 Some Examples

1 Intro to Parameterized Surfaces

1 Intro to Parameterized Surfaces

6 Intro to Flux

6 Intro to Flux

4 Example of a Conservative Vector Field

4 Example of a Conservative Vector Field

8 Surface Integral Final Example

8 Surface Integral Final Example

2 Example of Surface Integral

2 Example of Surface Integral

3 Application of Surface Integrals

3 Application of Surface Integrals

4 Orientation and Closed Surfaces

4 Orientation and Closed Surfaces

1 Intro to Surface Integrals

1 Intro to Surface Integrals

7 Example of Flux

7 Example of Flux

2 Statement of Stokes Theorem and Example

2 Statement of Stokes Theorem and Example

3 Line Integral Using Stokes Theorem

3 Line Integral Using Stokes Theorem

7 Unclosed Surfaces Example

7 Unclosed Surfaces Example

1 Intro to Stokes Theorem

1 Intro to Stokes Theorem

5 Intro to Divergence Theorem

5 Intro to Divergence Theorem

4 Surfaces with Same Boundary

4 Surfaces with Same Boundary

Exam 2 Chain Rule Problem

Exam 2 Chain Rule Problem

Exam 2 Acceleration, Velocity, and Position Problem

Exam 2 Acceleration, Velocity, and Position Problem

6 Divergence Theorem Example

6 Divergence Theorem Example