Канал: Epiplexis

Crystalline Prisms: My failure to understand them (NYC Open Book, March 20, 2024)

Crystalline Prisms: My failure to understand them (NYC Open Book, March 20, 2024)

Getting started: How to make a webpage

Getting started: How to make a webpage

Insertion sort

Insertion sort

Visualizing with Grapher

Visualizing with Grapher

16.7-6 Example: Disconnected boundary

16.7-6 Example: Disconnected boundary

16.7-5 Example: Verifying Stokes

16.7-5 Example: Verifying Stokes

16.7-3 Interpretation

16.7-3 Interpretation

16.7-2 Stokes' theorem

16.7-2 Stokes' theorem

16.7-1 Curl

16.7-1 Curl

16.6-9 Example: Center of mass

16.6-9 Example: Center of mass

16.6-8 Example: Implicit flux

16.6-8 Example: Implicit flux

16.6-7 Example: Parametric flux

16.6-7 Example: Parametric flux

16.6-6 Example: Piecewise smooth (cube)

16.6-6 Example: Piecewise smooth (cube)

16.6-5 Example: Mass of bowl

16.6-5 Example: Mass of bowl

16.6-4 Masses and moments

16.6-4 Masses and moments

16.6-3 Surface integrals of vector fields

16.6-3 Surface integrals of vector fields

16.6-2 Orientations

16.6-2 Orientations

16.6-1 Surface integrals

16.6-1 Surface integrals

16.5-8 Example: Band of paraboloid

16.5-8 Example: Band of paraboloid

16.5-7 Example: Torus

16.5-7 Example: Torus

16.5-6 Example: Sphere

16.5-6 Example: Sphere

16.5-5 Example: Cone

16.5-5 Example: Cone

16.5-4 Surface area of implicit surfaces

16.5-4 Surface area of implicit surfaces

16.5-3 Surface area

16.5-3 Surface area

16.5-2 Parametrizing a cone

16.5-2 Parametrizing a cone

16.5-1 Parametric vs implicit

16.5-1 Parametric vs implicit

16.4-5: Example: (x-y)𝐢 + (2x+y)𝐣

16.4-5: Example: (x-y)𝐢 + (2x+y)𝐣

16.4-4 Example: 2xy𝐢 - y𝐣

16.4-4 Example: 2xy𝐢 - y𝐣

16.4-3 Green's theorem

16.4-3 Green's theorem

16.4-2 Divergence / Flux density

16.4-2 Divergence / Flux density

16.4-1 Circulation density

16.4-1 Circulation density

16.3-7 Example: Integrating exact forms

16.3-7 Example: Integrating exact forms

16.3-6 Example: Finding potential functions 2

16.3-6 Example: Finding potential functions 2

16.3-5 Example: Finding potential functions

16.3-5 Example: Finding potential functions

16.3-4 Exact differential forms

16.3-4 Exact differential forms

16.3-3 Component Test

16.3-3 Component Test

16.3-2 "Fundamental theorem of calculus"

16.3-2 "Fundamental theorem of calculus"

16.3-1 Conservative vector fields and potential functions

16.3-1 Conservative vector fields and potential functions

16.2-6 Flux example

16.2-6 Flux example

16.2-5 Circulation example

16.2-5 Circulation example

16.2-4 Work example

16.2-4 Work example

16.2-3 Flux

16.2-3 Flux

16.2-2 Line integrals of vector fields; Work and circulation

16.2-2 Line integrals of vector fields; Work and circulation

16.2-1 Vector fields

16.2-1 Vector fields

16.1-4 Example 2

16.1-4 Example 2

16.1-3 Example 1

16.1-3 Example 1

16.1-2 Masses and moments

16.1-2 Masses and moments

16.1-1 Line integrals over a curve

16.1-1 Line integrals over a curve

15.8-3 Example 2

15.8-3 Example 2

15.8-2 Example 1

15.8-2 Example 1

15.8-1 Substitutions in multiple integrals

15.8-1 Substitutions in multiple integrals

15.6-4 Moment of inertia example

15.6-4 Moment of inertia example

15.6-3 Center of mass example

15.6-3 Center of mass example

15.6-2 Centroid example

15.6-2 Centroid example

15.6-1 Masses and moments

15.6-1 Masses and moments

15.7-4 Spherical volume form

15.7-4 Spherical volume form

15.7-3 Differential forms

15.7-3 Differential forms

15.7-2 Examples

15.7-2 Examples

15.7-1 Cylindrical and spherical coordinates

15.7-1 Cylindrical and spherical coordinates

15.5-3 General examples

15.5-3 General examples

15.5-2 Volume examples

15.5-2 Volume examples

15.5-1 Triple integrals

15.5-1 Triple integrals

15.4-3 Volume examples

15.4-3 Volume examples

15.4-2 Area examples

15.4-2 Area examples

15.4-1 Polar rectangles

15.4-1 Polar rectangles

15.3-2 Average values

15.3-2 Average values

15.3-1 Area

15.3-1 Area

15.2-2 Limits of integration

15.2-2 Limits of integration

15.1-2 Examples

15.1-2 Examples

14.8-6 Example: multiple constraints

14.8-6 Example: multiple constraints

14.8-5 Example: 20xyz^2

14.8-5 Example: 20xyz^2

14.8-4 Example: xyz=1

14.8-4 Example: xyz=1

14.8-3 Example: x^2 y = 2

14.8-3 Example: x^2 y = 2

14.7-7 Example: absolute extrema

14.7-7 Example: absolute extrema

14.7-6 Example: ln(x+y) + x^2 - y

14.7-6 Example: ln(x+y) + x^2 - y

14.7-5 Example: e^y - ye^x

14.7-5 Example: e^y - ye^x

14.7-4 Example: x^2 - 2xy + 2y^2 - 2x + 2y + 1

14.7-4 Example: x^2 - 2xy + 2y^2 - 2x + 2y + 1

14.7-3 Example: x^2 + 2xy

14.7-3 Example: x^2 + 2xy

14.6-4 Differentials and linearization

14.6-4 Differentials and linearization

14.6-3 Tangent lines of intersecting surfaces

14.6-3 Tangent lines of intersecting surfaces

14.6-2 Tangents / normals of explicit surfaces

14.6-2 Tangents / normals of explicit surfaces

14.6-1 Tangent planes & normal lines of implicit surfaces

14.6-1 Tangent planes & normal lines of implicit surfaces

14.5-2 Gradients

14.5-2 Gradients

14.5-1 Directional derivatives

14.5-1 Directional derivatives

14.4-2 Examples

14.4-2 Examples

14.4-1 The chain rule as matrix multiplication

14.4-1 The chain rule as matrix multiplication

14.3-3 Higher order partial derivatives

14.3-3 Higher order partial derivatives

14.3-4 Partial derivatives and continuity

14.3-4 Partial derivatives and continuity

14.2-3 Limits may not exist

14.2-3 Limits may not exist

14.3-2 Implicit partial differentiation

14.3-2 Implicit partial differentiation

14.3-1 Partial derivatives

14.3-1 Partial derivatives

14.2-4 Extreme Value Theorem

14.2-4 Extreme Value Theorem

14.2-2 Examples

14.2-2 Examples

14.2-1 Limits and Continuity

14.2-1 Limits and Continuity

14.1-1 Functions of several variables

14.1-1 Functions of several variables

14.1-3 Open, closed, and bounded subsets

14.1-3 Open, closed, and bounded subsets

14.1-2 Level curves and surfaces

14.1-2 Level curves and surfaces

13.3-2 Arc Length Parametrization and Unit Tangent Vector

13.3-2 Arc Length Parametrization and Unit Tangent Vector

13.3-1 Arc Length Along a Space Curve

13.3-1 Arc Length Along a Space Curve

13.2-1 Integrals of vector functions

13.2-1 Integrals of vector functions

13.1-3 Functions of constant length

13.1-3 Functions of constant length

13.2-2 Ideal projectile motion

13.2-2 Ideal projectile motion

13.1-1 Curves and their tangents

13.1-1 Curves and their tangents

12.5-6 Angles Between Planes

12.5-6 Angles Between Planes

12.5-5 The Distance from a Point to a Plane

12.5-5 The Distance from a Point to a Plane

12.5-4 Lines of Intersection

12.5-4 Lines of Intersection

12.5-3 An Equation for a Plane in Space

12.5-3 An Equation for a Plane in Space

12.5-2 Distance from a point to a line in Space

12.5-2 Distance from a point to a line in Space

12.5-1 Lines and line segments in space

12.5-1 Lines and line segments in space

12.4-4 Examples

12.4-4 Examples

12.4-3 Box product

12.4-3 Box product

12.4-2 Torque

12.4-2 Torque

12.4-1 Cross product

12.4-1 Cross product

12.3-3 Examples

12.3-3 Examples

12.3-2 Projections

12.3-2 Projections

12.3-1 Dot product and angles

12.3-1 Dot product and angles

12.2-3 Unit vectors

12.2-3 Unit vectors

12.2-2 Addition and scaling

12.2-2 Addition and scaling

12.2-1 Points and vectors

12.2-1 Points and vectors

12.1-4 Examples

12.1-4 Examples

12.1-3 Distances in 3d space

12.1-3 Distances in 3d space

12.1-2 Equations in 3d space

12.1-2 Equations in 3d space

12.1-1 Coordinate Systems

12.1-1 Coordinate Systems