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Calc 3 16.9 Notes: The Divergence Theorem
Alexandra Niedden
17,5 тыс. подписчиков
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200 видео с канала:
Alexandra Niedden
Calc 3 16.9 Notes: The Divergence Theorem
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Calc 3 16.8 Notes: Stokes' Theorem
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Calc 3 16.7 Notes: Surface Integrals
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Calc 3 16.5 Notes: Curl & Divergence
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Calc 3 16.4 Notes: Green's Theorem
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Calc 3 16.3 Notes: The Fundamental Theorem for Line Integrals
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Calc 3 16.2 Notes: Line Integrals
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Calc 3 Notes 16.1: Vector Fields
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Calc 3 15.2 Notes: Double Integrals over General Regions
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Calc 3 15.9 Notes: Change of Variables in Multiple Integrals
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Calc 3 15.8 Notes: Triple Integrals in Spherical Coordinates
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Calc 3 15.7 Notes: Triple Integrals in Cylindrical Coordinates
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Calc 3 15.6 Notes: Triple Integrals
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Calc 3 15.5 Notes: Surface Area
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Calc 3 15.3 Notes: Double Integrals in Polar Coordinates
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Calc 3 15.1 Notes: Double Integrals Over Rectangles
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Calc 3 14.6 Notes: Directional Derivatives and the Gradient Vector
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Calc 3 14.8 Notes: Lagrange Multipliers
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Calc 3 14.7 Notes: Maximum and Minimum Values
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Calc 3 14.5 Notes: The Chain Rule
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Calc 3 14.4 Notes: Tangent Planes and Linear Approximations
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Calc 3 14.3 Notes: Partial Derivatives
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Calc 3 14.2 Notes: Limits & Continuity
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Calc 3 13.4 Notes: Motion in Space - Velocity & Acceleration
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Calc 3 13.3 Notes: Arc Length & Curvature
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Calc 3 13.2: Derivatives and Integrals of Vector Functions
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Calc 3 13.1: Vector Functions and Space Curves
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Calc 3 12.6 Notes: Cylinders & Quadric Surfaces
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Calc 3 12.5 Notes: Equations of Lines & Planes
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Calc 3 12.4 Notes: The Cross Product
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Calc 3 12.3 Notes: The Dot Product
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Calc 3 12.2 Notes: Vectors
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Calc 3 12.1 Notes: Three-Dimensional Coordinate Systems
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Ch 8 Review & 8.3 Sampling Distributions for Proportion
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Ch 9 Day 8: Linear Programming part 2
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Ch 9 Day 7: Linear Programming part 1
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Ch 10 Day 1: Introduction to Matrices & Operations with Matrices
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2.2 Warm-Up: Definition of Derivative & Differentiability
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Ch 9 Day 3: 9.3 Nonlinear Systems
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Ch 9 Day 3: 9.2 Systems of Linear Equations in 3 Variables
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Ch 4 Day 7: Exponential & Logarithmic Word Problems
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Ch 4 Day 6: Logarithmic Equations
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Ch 4 Day 5: Exponential Equations
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Ch 4 Day 3: Logarithmic Functions
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Ch 4 Day 2: Exponential Functions (Graphing!)
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Ch 4 Day 1: Inverse Functions
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Ch 3 Day 9: Rational Graphs #1
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Ch 3 Day 5: Fundamental Theorem of Algebra
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Ch 3 Day 4: Zeros of Polynomial Functions
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Ch 3 Day 3: Zeros & Graphing Polynomials
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4.1: Preliminary Theory - Linear Equations (1/3)
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Ch 3 Day 2: End Behavior, Zeros, & Graphs
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Prelim Review Day 7: Applications
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Prelim Review Day 6: Function Operations, Translations, & Symmetry
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Prelim Review Day 4: Functions, Domain/Range, & Zeros
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Prelim Review Day 3: Rational & Radical Equations
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Prelim Review Day 2: Quadratics!
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Prelim Review Day 1: Interval Notation, Order of Operations, Polynomials, & Complex Numbers
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Ch 2 Day 22: 2.5 Properties of Graphs
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Ch 2 Day 21: 2.5 Properties Of Graphs
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16.8: Stokes' Theorem
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Ch 2 Day 10: 2.3 Linear Functions
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Ch 2 Day 9: 2.3 Linear Functions
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Ch 1 Day 21: 1.5 Inequalities (Part 2)
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15.8: Triple Integrals in Spherical Coordinates
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Math Applications Notes: Days 16 & 17
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14.7: Maximum and Minimum Values (2/2)
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14.3: Partial Derivatives
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Ch P Day 2: P.1 The Real Number System
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Day 3 10.3 RREF
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Day 2 10.2 Algebra of Matrices
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Day 1 10.2 Algebra of Matrices
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Ch 9 Day 8 Notes: 9.5 Systems of Inequalities
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Ch 9 Day 7 Notes: 9.5 Inequalities in 2 Variables
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AP Statistics Ch 13 Notes: Inference for Slope
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AP Statistics 12.2 Notes: Chi Square Test for Homogeneity (PART 3)
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AP Statistics 12.2 Notes: Chi Square Test for Independence (PART 2)
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AP Statistics 12.1 Notes: Chi Square Goodness of Fit
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AP Statistics 11.3 Notes: Two-Sample Inference for Proportion
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AP Statistics 11.2 Notes: Matched Pairs Procedures
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AP Statistics 11.1 Notes: Inference for Two Samples - Mean
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CA Day 6
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CA Ch 3 Day 10: 3.5 Rational Graphs
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CA Ch 3 Day 11: 3.5 Rational Graphs
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AP Statistics 10.4 Notes: Hypothesis Test for Mean
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8.2 Solving Exponential Functions
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8.1 Graphing & 8.2 Solving Exponential Functions
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Applications Part 2
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Applications Part 1
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8-4 Solving Logarithmic Equations
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8.3: Logarithms & Logarithmic Functions
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7-6 Rational Exponents
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7-5 Operations with Radical Expressions (PART 1)
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7-2 Inverse Functions & Relations
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7-1 Operations on Functions (PART 2)
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6.7/6.8: Roots and Zeros Notes
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6.6: The Remainder & Factor Theorems
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6.5: Solving Polynomial Equations (PART 2)
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6.5: Solving Polynomial Equations (PART 1)
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6.4: Analyze Graphs of Polynomial Functions
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6.3: Polynomial Functions
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6.2: Dividing Polynomials
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6.1: Operations with Polynomials (Part 2)
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5.6: The Quadratic Formula and the Discriminant
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5.4: Complex Numbers (PART 2)
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5.4: Complex Numbers (PART 1)
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5.5: Completing the Square
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Simplifying Roots & Square Root Method
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5.3: Solving Quadratic Equations by Factoring (PART 2)
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5.3: Solving Quadratic Equations by Factoring (Part 1)
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3.4: Optimization with Linear Programming (PART 2)
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3.4: Optimization with Linear Programming (PART 1)
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3.3: Solving Systems of Inequalities by Graphing
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3.1: Solving Systems of Equations by Graphing
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3.2: Solving Systems of Equations Algebraically (PART 2)
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3.2: Solving Systems of Equations Algebraically (PART 1)
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2.8 Graph Linear Inequalities
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2.6 Special Functions - Piecewise
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Linear Modeling
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2.3 Rate of Change & Slope
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2.1 Relations and Functions Notes (part 2)
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2.1 Relations and Functions Notes (part 1)
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Matrix Review (2/3)
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8.2: Homogeneous Linear Systems
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8.1: Preliminary Theory - Linear Systems (2/2)
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8.1: Preliminary Theory - Linear Systems
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Matrix Review (3/3)
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Matrix Review (1/3)
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Special Right Triangles Review
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Right Triangle Trigonometry Review
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6.2: Solutions about Ordinary Points
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6.1: Review of Power Series (1/2)
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6.1: Review of Power Series (2/2)
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11.6: Areas of Regular Polygons
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11.2: Areas of Trapezoids, Rhombuses & Kites
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4.1: Preliminary Theory - Linear Equations (3/3)
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4.1: Preliminary Theory - Linear Equations (2/3)
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3.1: Linear Models
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Picard's Method
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2.5: Solutions by Substitutions (2/2)
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2.5: Solutions by Substitutions (1/2)
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8.5: Use Properties of Trapezoids and Kites
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16.9: The Divergence Theorem
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16.7: Surface Integrals (2/2)
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16.7: Surface Integrals (1/2)
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16.6: Parametric Surfaces & Their Areas (2/2)
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16.6: Parametric Surfaces & Their Areas (1/2)
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Trigonometry! Sine, Cosine, & Tangent
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16.5: Curl & Divergence
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16.4: Green's Theorem
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16.3: The FundamentalTheorem for Line Integrals
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16.2: Line Integrals (2/2)
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16.2: Line Integrals (1/2)
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16.1: Vector Fields
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5.6 Vertical Motion
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15.7: Triple Integrals in Cylindrical Coordinates
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15.6: Triple Integrals
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15.5: Surface Area
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15.4: Applications of Double Integrals
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15.3: Double Integrals in Polar Coordinates
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Ch 3, Day 5: Linear Optimization (part 2)
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Day 5: 3-4 Optimization with Linear Programming
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15.2: Double Integrals over General Regions
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6.3: Use Similar Polygons
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15.1: Double Integrals over Rectangles
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14.7: Maximum and Minimum Values (1/2)
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14.6: Directional Derivatives and the Gradient Vector (2/2)
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14.6: Directional Derivatives and the Gradient Vector (1/2)
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14.5: The Chain Rule
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14.4: Tangent Planes and Linear Approximations (2/2)
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14.4: Tangent Planes and Linear Approximations (1/2)
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6.2: Use Proportions in Geometry Problems
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Day 6 Linear Modeling (Cricket Chirps)
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14.2: Limits and Continuity
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14.1: Functions of Several Variables
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13.4: Motion in Space: Velocity & Acceleration (1/2)
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13.4: Motion in Space: Velocity & Acceleration (2/2)
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13.3: Arc Length and Curvature (2/2)
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13.3: Arc Length & Curvature (1/2)
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1.7: Finding Perimeter, Circumference, & Area
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13.2: Derivatives and Integrals of Vector Functions (2/2)
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13.2: Derivatives and Integrals of Vector Functions (1/2)
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13.1: Vector Functions & Space Curves
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12.6: Cylinders & Quadric Surfaces
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12.5: Equations of Lines and Planes (2/2)
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12.5: Equations of Lines & Planes (1/2)
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12.3: The Dot Product (2/2)
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12.3: The Dot Product (1/2)
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12.4: The Cross Product
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12.2: Vectors (2/2)
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12.2: Vectors (1/2)
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12.1: Three-Dimensional Coordinate Systems
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Interval Notation
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12.6: Nonhomogeneous Boundary Value Problems, Day 2
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12.6: Nonhomogeneous Boundary Value Problems, Day 1
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12.4: Wave Equation
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12.3: Heat Equation
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12.2: Classical PDE's and BVP's
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12.1: Separable Partial Differential Equations
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11.3: Fourier Cosine and Sine Series, Day 2
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Канал: Alexandra Niedden
Calc 3 16.9 Notes: The Divergence Theorem
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Calc 3 16.8 Notes: Stokes' Theorem
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Calc 3 16.7 Notes: Surface Integrals
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Calc 3 16.5 Notes: Curl & Divergence
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Calc 3 16.4 Notes: Green's Theorem
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Calc 3 16.3 Notes: The Fundamental Theorem for Line Integrals
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Calc 3 16.2 Notes: Line Integrals
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Calc 3 Notes 16.1: Vector Fields
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Calc 3 15.2 Notes: Double Integrals over General Regions
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Calc 3 15.9 Notes: Change of Variables in Multiple Integrals
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Calc 3 15.8 Notes: Triple Integrals in Spherical Coordinates
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Calc 3 15.7 Notes: Triple Integrals in Cylindrical Coordinates
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Calc 3 15.6 Notes: Triple Integrals
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Calc 3 15.5 Notes: Surface Area
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Calc 3 15.3 Notes: Double Integrals in Polar Coordinates
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Calc 3 15.1 Notes: Double Integrals Over Rectangles
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Calc 3 14.6 Notes: Directional Derivatives and the Gradient Vector
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Calc 3 14.8 Notes: Lagrange Multipliers
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Calc 3 14.7 Notes: Maximum and Minimum Values
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Calc 3 14.5 Notes: The Chain Rule
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Calc 3 14.4 Notes: Tangent Planes and Linear Approximations
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Calc 3 14.3 Notes: Partial Derivatives
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Calc 3 14.2 Notes: Limits & Continuity
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Calc 3 13.4 Notes: Motion in Space - Velocity & Acceleration
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Calc 3 13.3 Notes: Arc Length & Curvature
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Calc 3 13.2: Derivatives and Integrals of Vector Functions
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Calc 3 13.1: Vector Functions and Space Curves
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Calc 3 12.6 Notes: Cylinders & Quadric Surfaces
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Calc 3 12.5 Notes: Equations of Lines & Planes
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Calc 3 12.4 Notes: The Cross Product
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Calc 3 12.3 Notes: The Dot Product
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Calc 3 12.2 Notes: Vectors
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Calc 3 12.1 Notes: Three-Dimensional Coordinate Systems
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Ch 8 Review & 8.3 Sampling Distributions for Proportion
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Ch 9 Day 8: Linear Programming part 2
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Ch 9 Day 7: Linear Programming part 1
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Ch 10 Day 1: Introduction to Matrices & Operations with Matrices
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2.2 Warm-Up: Definition of Derivative & Differentiability
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Ch 9 Day 3: 9.3 Nonlinear Systems
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Ch 9 Day 3: 9.2 Systems of Linear Equations in 3 Variables
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Ch 4 Day 7: Exponential & Logarithmic Word Problems
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Ch 4 Day 6: Logarithmic Equations
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Ch 4 Day 5: Exponential Equations
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Ch 4 Day 3: Logarithmic Functions
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Ch 4 Day 2: Exponential Functions (Graphing!)
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Ch 4 Day 1: Inverse Functions
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Ch 3 Day 9: Rational Graphs #1
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Ch 3 Day 5: Fundamental Theorem of Algebra
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Ch 3 Day 4: Zeros of Polynomial Functions
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Ch 3 Day 3: Zeros & Graphing Polynomials
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4.1: Preliminary Theory - Linear Equations (1/3)
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Ch 3 Day 2: End Behavior, Zeros, & Graphs
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Prelim Review Day 7: Applications
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Prelim Review Day 6: Function Operations, Translations, & Symmetry
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Prelim Review Day 4: Functions, Domain/Range, & Zeros
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Prelim Review Day 3: Rational & Radical Equations
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Prelim Review Day 2: Quadratics!
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Prelim Review Day 1: Interval Notation, Order of Operations, Polynomials, & Complex Numbers
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Ch 2 Day 22: 2.5 Properties of Graphs
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Ch 2 Day 21: 2.5 Properties Of Graphs
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16.8: Stokes' Theorem
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Ch 2 Day 10: 2.3 Linear Functions
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Ch 2 Day 9: 2.3 Linear Functions
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Ch 1 Day 21: 1.5 Inequalities (Part 2)
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15.8: Triple Integrals in Spherical Coordinates
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Math Applications Notes: Days 16 & 17
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14.7: Maximum and Minimum Values (2/2)
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14.3: Partial Derivatives
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Ch P Day 2: P.1 The Real Number System
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Day 3 10.3 RREF
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Day 2 10.2 Algebra of Matrices
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Day 1 10.2 Algebra of Matrices
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Ch 9 Day 8 Notes: 9.5 Systems of Inequalities
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Ch 9 Day 7 Notes: 9.5 Inequalities in 2 Variables
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AP Statistics Ch 13 Notes: Inference for Slope
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AP Statistics 12.2 Notes: Chi Square Test for Homogeneity (PART 3)
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AP Statistics 12.2 Notes: Chi Square Test for Independence (PART 2)
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AP Statistics 12.1 Notes: Chi Square Goodness of Fit
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AP Statistics 11.3 Notes: Two-Sample Inference for Proportion
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AP Statistics 11.2 Notes: Matched Pairs Procedures
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AP Statistics 11.1 Notes: Inference for Two Samples - Mean
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CA Day 6
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CA Ch 3 Day 10: 3.5 Rational Graphs
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CA Ch 3 Day 11: 3.5 Rational Graphs
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AP Statistics 10.4 Notes: Hypothesis Test for Mean
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8.2 Solving Exponential Functions
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8.1 Graphing & 8.2 Solving Exponential Functions
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Applications Part 2
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Applications Part 1
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8-4 Solving Logarithmic Equations
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8.3: Logarithms & Logarithmic Functions
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7-6 Rational Exponents
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7-5 Operations with Radical Expressions (PART 1)
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7-2 Inverse Functions & Relations
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7-1 Operations on Functions (PART 2)
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6.7/6.8: Roots and Zeros Notes
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6.6: The Remainder & Factor Theorems
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6.5: Solving Polynomial Equations (PART 2)
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6.5: Solving Polynomial Equations (PART 1)
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6.4: Analyze Graphs of Polynomial Functions
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6.3: Polynomial Functions
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6.2: Dividing Polynomials
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6.1: Operations with Polynomials (Part 2)
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5.6: The Quadratic Formula and the Discriminant
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5.4: Complex Numbers (PART 2)
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5.4: Complex Numbers (PART 1)
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5.5: Completing the Square
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Simplifying Roots & Square Root Method
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5.3: Solving Quadratic Equations by Factoring (PART 2)
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5.3: Solving Quadratic Equations by Factoring (Part 1)
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3.4: Optimization with Linear Programming (PART 2)
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3.4: Optimization with Linear Programming (PART 1)
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3.3: Solving Systems of Inequalities by Graphing
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3.1: Solving Systems of Equations by Graphing
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3.2: Solving Systems of Equations Algebraically (PART 2)
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3.2: Solving Systems of Equations Algebraically (PART 1)
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2.8 Graph Linear Inequalities
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2.6 Special Functions - Piecewise
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Linear Modeling
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2.3 Rate of Change & Slope
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2.1 Relations and Functions Notes (part 2)
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2.1 Relations and Functions Notes (part 1)
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Matrix Review (2/3)
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8.2: Homogeneous Linear Systems
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8.1: Preliminary Theory - Linear Systems (2/2)
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8.1: Preliminary Theory - Linear Systems
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Matrix Review (3/3)
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Matrix Review (1/3)
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Special Right Triangles Review
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Right Triangle Trigonometry Review
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6.2: Solutions about Ordinary Points
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6.1: Review of Power Series (1/2)
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6.1: Review of Power Series (2/2)
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11.6: Areas of Regular Polygons
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11.2: Areas of Trapezoids, Rhombuses & Kites
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4.1: Preliminary Theory - Linear Equations (3/3)
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4.1: Preliminary Theory - Linear Equations (2/3)
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3.1: Linear Models
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Picard's Method
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2.5: Solutions by Substitutions (2/2)
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2.5: Solutions by Substitutions (1/2)
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8.5: Use Properties of Trapezoids and Kites
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16.9: The Divergence Theorem
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16.7: Surface Integrals (2/2)
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16.7: Surface Integrals (1/2)
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16.6: Parametric Surfaces & Their Areas (2/2)
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16.6: Parametric Surfaces & Their Areas (1/2)
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Trigonometry! Sine, Cosine, & Tangent
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16.5: Curl & Divergence
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16.4: Green's Theorem
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16.3: The FundamentalTheorem for Line Integrals
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16.2: Line Integrals (2/2)
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16.2: Line Integrals (1/2)
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16.1: Vector Fields
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5.6 Vertical Motion
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15.7: Triple Integrals in Cylindrical Coordinates
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15.6: Triple Integrals
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15.5: Surface Area
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15.4: Applications of Double Integrals
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15.3: Double Integrals in Polar Coordinates
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Ch 3, Day 5: Linear Optimization (part 2)
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Day 5: 3-4 Optimization with Linear Programming
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15.2: Double Integrals over General Regions
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6.3: Use Similar Polygons
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15.1: Double Integrals over Rectangles
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14.7: Maximum and Minimum Values (1/2)
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14.6: Directional Derivatives and the Gradient Vector (2/2)
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14.6: Directional Derivatives and the Gradient Vector (1/2)
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14.5: The Chain Rule
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14.4: Tangent Planes and Linear Approximations (2/2)
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14.4: Tangent Planes and Linear Approximations (1/2)
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6.2: Use Proportions in Geometry Problems
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Day 6 Linear Modeling (Cricket Chirps)
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14.2: Limits and Continuity
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14.1: Functions of Several Variables
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13.4: Motion in Space: Velocity & Acceleration (1/2)
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13.4: Motion in Space: Velocity & Acceleration (2/2)
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13.3: Arc Length and Curvature (2/2)
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13.3: Arc Length & Curvature (1/2)
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1.7: Finding Perimeter, Circumference, & Area
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13.2: Derivatives and Integrals of Vector Functions (2/2)
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13.2: Derivatives and Integrals of Vector Functions (1/2)
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13.1: Vector Functions & Space Curves
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12.6: Cylinders & Quadric Surfaces
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12.5: Equations of Lines and Planes (2/2)
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12.5: Equations of Lines & Planes (1/2)
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12.3: The Dot Product (2/2)
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12.3: The Dot Product (1/2)
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12.4: The Cross Product
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12.2: Vectors (2/2)
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12.2: Vectors (1/2)
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12.1: Three-Dimensional Coordinate Systems
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Interval Notation
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12.6: Nonhomogeneous Boundary Value Problems, Day 2
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12.6: Nonhomogeneous Boundary Value Problems, Day 1
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12.4: Wave Equation
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12.3: Heat Equation
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12.2: Classical PDE's and BVP's
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12.1: Separable Partial Differential Equations
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11.3: Fourier Cosine and Sine Series, Day 2
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