SlideShare une entreprise Scribd logo

Lesson 30: Stokes's Theorem

•
•
Matthew Leingang
Matthew Leingang

Stokes's Theorem is the 3D version of Green's Theorem.

FormationTechnologie
1  sur  16
Télécharger pour lire hors ligne
Section 13.7 Stokes’s Theorem Math 21a April 28, 2008 . . Image: Flickr user Al Giordino . . . . . .
Announcements ◮ Final Exam: 5/23 9:15 am (tentative) ◮ Office hours Tuesday, Wednesday 2–4pm SC 323 ◮ Problem Sessions: Mon, 8:30; Thur, 7:30; SC 103b . . . . . .
Outline Last Time: Surface and Flux integrals Stokes’s Theorem Statement Proof Worksheet Next Time: The Divergence Theorem . . . . . .
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem
Lesson 30: Stokes's Theorem

Recommandé

Stoke’s theorem
Stoke’s theoremStoke’s theorem
Stoke’s theorem
Abhishek Chauhan
 
Lesson 22: Optimization Problems (handout)
Lesson 22: Optimization Problems (handout)Lesson 22: Optimization Problems (handout)
Lesson 22: Optimization Problems (handout)
Matthew Leingang
 
Green's theorem in classical mechanics and electrodynamics
Green's theorem in classical mechanics and electrodynamicsGreen's theorem in classical mechanics and electrodynamics
Green's theorem in classical mechanics and electrodynamics
Corneliu Sochichiu
 
Application of Gauss,Green and Stokes Theorem
Application of Gauss,Green and Stokes TheoremApplication of Gauss,Green and Stokes Theorem
Application of Gauss,Green and Stokes Theorem
Samiul Ehsan
 
4.4 Fundamental Theorem of Calculus
4.4 Fundamental Theorem of Calculus4.4 Fundamental Theorem of Calculus
4.4 Fundamental Theorem of Calculus
Sharon Henry
 
584 fundamental theorem of calculus
584 fundamental theorem of calculus584 fundamental theorem of calculus
584 fundamental theorem of calculus
goldenratio618
 
Euler Identity
Euler IdentityEuler Identity
Euler Identity
Ahmad Kamal
 
Lesson 27: Evaluating Definite Integrals
Lesson 27: Evaluating Definite IntegralsLesson 27: Evaluating Definite Integrals
Lesson 27: Evaluating Definite Integrals
Matthew Leingang
 

Recommandé

Stoke’s theorem
Stoke’s theoremStoke’s theorem
Stoke’s theorem
Abhishek Chauhan
 
Lesson 22: Optimization Problems (handout)
Lesson 22: Optimization Problems (handout)Lesson 22: Optimization Problems (handout)
Lesson 22: Optimization Problems (handout)
Matthew Leingang
 
Green's theorem in classical mechanics and electrodynamics
Green's theorem in classical mechanics and electrodynamicsGreen's theorem in classical mechanics and electrodynamics
Green's theorem in classical mechanics and electrodynamics
Corneliu Sochichiu
 
Application of Gauss,Green and Stokes Theorem
Application of Gauss,Green and Stokes TheoremApplication of Gauss,Green and Stokes Theorem
Application of Gauss,Green and Stokes Theorem
Samiul Ehsan
 
4.4 Fundamental Theorem of Calculus
4.4 Fundamental Theorem of Calculus4.4 Fundamental Theorem of Calculus
4.4 Fundamental Theorem of Calculus
Sharon Henry
 
584 fundamental theorem of calculus
584 fundamental theorem of calculus584 fundamental theorem of calculus
584 fundamental theorem of calculus
goldenratio618
 
Euler Identity
Euler IdentityEuler Identity
Euler Identity
Ahmad Kamal
 
Lesson 27: Evaluating Definite Integrals
Lesson 27: Evaluating Definite IntegralsLesson 27: Evaluating Definite Integrals
Lesson 27: Evaluating Definite Integrals
Matthew Leingang
 
Lesson 21: Surface Area
Lesson 21: Surface AreaLesson 21: Surface Area
Lesson 21: Surface Area
Matthew Leingang
 
Lesson 29: Integration by Substitution
Lesson 29: Integration by SubstitutionLesson 29: Integration by Substitution
Lesson 29: Integration by Substitution
Matthew Leingang
 
Lesson 24: Antiderivatives
Lesson 24: AntiderivativesLesson 24: Antiderivatives
Lesson 24: Antiderivatives
Matthew Leingang
 
Lesson 25: Areas
Lesson 25: AreasLesson 25: Areas
Lesson 25: Areas
Matthew Leingang
 
Introduction
IntroductionIntroduction
Introduction
Matthew Leingang
 
Lesson 23: Newton's Method
Lesson 23: Newton's MethodLesson 23: Newton's Method
Lesson 23: Newton's Method
Matthew Leingang
 
Lesson 22: Triple Integrals
Lesson 22: Triple IntegralsLesson 22: Triple Integrals
Lesson 22: Triple Integrals
Matthew Leingang
 
Lesson 15: Linear Approximation and Differentials
Lesson 15: Linear Approximation and DifferentialsLesson 15: Linear Approximation and Differentials
Lesson 15: Linear Approximation and Differentials
Matthew Leingang
 
My PhD Thesis as I presented in my Preliminary Exam.
My PhD Thesis as I presented in my Preliminary Exam. My PhD Thesis as I presented in my Preliminary Exam.
My PhD Thesis as I presented in my Preliminary Exam.
Manmohan Dash
 
Lesson 28: The Fundamental Theorem of Calculus
Lesson 28: The Fundamental Theorem of CalculusLesson 28: The Fundamental Theorem of Calculus
Lesson 28: The Fundamental Theorem of Calculus
Matthew Leingang
 
Inquiry-Based Learning Opportunities for Secondary Teachers and Students
Inquiry-Based Learning Opportunities for Secondary Teachers and StudentsInquiry-Based Learning Opportunities for Secondary Teachers and Students
Inquiry-Based Learning Opportunities for Secondary Teachers and Students
Matthew Leingang
 
Lagrange
LagrangeLagrange
Lagrange
Hữu Trần
 
Lesson 15: Gradients and level curves
Lesson 15: Gradients and level curvesLesson 15: Gradients and level curves
Lesson 15: Gradients and level curves
Matthew Leingang
 
Lesson 22: Applications to Business and Economics
Lesson 22: Applications to Business and EconomicsLesson 22: Applications to Business and Economics
Lesson 22: Applications to Business and Economics
Matthew Leingang
 
Final Review II
Final Review IIFinal Review II
Final Review II
Matthew Leingang
 
Lesson 31: Numerical Integration
Lesson 31: Numerical IntegrationLesson 31: Numerical Integration
Lesson 31: Numerical Integration
Matthew Leingang
 
Lesson 30: Integration by Parts
Lesson 30: Integration by PartsLesson 30: Integration by Parts
Lesson 30: Integration by Parts
Matthew Leingang
 
Euler’s formula
Euler’s formulaEuler’s formula
Euler’s formula
Rahul Sharma
 
Lesson 1: Functions
Lesson 1: FunctionsLesson 1: Functions
Lesson 1: Functions
Matthew Leingang
 
Lesson 20: Integration in Polar Coordinates
Lesson 20: Integration in Polar CoordinatesLesson 20: Integration in Polar Coordinates
Lesson 20: Integration in Polar Coordinates
Matthew Leingang
 
Making Lesson Plans
Making Lesson PlansMaking Lesson Plans
Making Lesson Plans
Matthew Leingang
 
Streamlining assessment, feedback, and archival with auto-multiple-choice
Streamlining assessment, feedback, and archival with auto-multiple-choiceStreamlining assessment, feedback, and archival with auto-multiple-choice
Streamlining assessment, feedback, and archival with auto-multiple-choice
Matthew Leingang
 

Contenu connexe

En vedette

Lesson 24: Antiderivatives
Lesson 24: AntiderivativesLesson 24: Antiderivatives
Lesson 24: Antiderivatives
Matthew Leingang
 

En vedette (20)

Lesson 21: Surface Area
Lesson 21: Surface AreaLesson 21: Surface Area
Lesson 21: Surface Area
 
Lesson 29: Integration by Substitution
Lesson 29: Integration by SubstitutionLesson 29: Integration by Substitution
Lesson 29: Integration by Substitution
 
Lesson 24: Antiderivatives
Lesson 24: AntiderivativesLesson 24: Antiderivatives
Lesson 24: Antiderivatives
 
Lesson 25: Areas
Lesson 25: AreasLesson 25: Areas
Lesson 25: Areas
 
Introduction
IntroductionIntroduction
Introduction
 
Lesson 23: Newton's Method
Lesson 23: Newton's MethodLesson 23: Newton's Method
Lesson 23: Newton's Method
 
Lesson 22: Triple Integrals
Lesson 22: Triple IntegralsLesson 22: Triple Integrals
Lesson 22: Triple Integrals
 
Lesson 15: Linear Approximation and Differentials
Lesson 15: Linear Approximation and DifferentialsLesson 15: Linear Approximation and Differentials
Lesson 15: Linear Approximation and Differentials
 
My PhD Thesis as I presented in my Preliminary Exam.
My PhD Thesis as I presented in my Preliminary Exam. My PhD Thesis as I presented in my Preliminary Exam.
My PhD Thesis as I presented in my Preliminary Exam.
 
Lesson 28: The Fundamental Theorem of Calculus
Lesson 28: The Fundamental Theorem of CalculusLesson 28: The Fundamental Theorem of Calculus
Lesson 28: The Fundamental Theorem of Calculus
 
Inquiry-Based Learning Opportunities for Secondary Teachers and Students
Inquiry-Based Learning Opportunities for Secondary Teachers and StudentsInquiry-Based Learning Opportunities for Secondary Teachers and Students
Inquiry-Based Learning Opportunities for Secondary Teachers and Students
 
Lagrange
LagrangeLagrange
Lagrange
 
Lesson 15: Gradients and level curves
Lesson 15: Gradients and level curvesLesson 15: Gradients and level curves
Lesson 15: Gradients and level curves
 
Lesson 22: Applications to Business and Economics
Lesson 22: Applications to Business and EconomicsLesson 22: Applications to Business and Economics
Lesson 22: Applications to Business and Economics
 
Final Review II
Final Review IIFinal Review II
Final Review II
 
Lesson 31: Numerical Integration
Lesson 31: Numerical IntegrationLesson 31: Numerical Integration
Lesson 31: Numerical Integration
 
Lesson 30: Integration by Parts
Lesson 30: Integration by PartsLesson 30: Integration by Parts
Lesson 30: Integration by Parts
 
Euler’s formula
Euler’s formulaEuler’s formula
Euler’s formula
 
Lesson 1: Functions
Lesson 1: FunctionsLesson 1: Functions
Lesson 1: Functions
 
Lesson 20: Integration in Polar Coordinates
Lesson 20: Integration in Polar CoordinatesLesson 20: Integration in Polar Coordinates
Lesson 20: Integration in Polar Coordinates
 

Plus de Matthew Leingang

Streamlining assessment, feedback, and archival with auto-multiple-choice
Streamlining assessment, feedback, and archival with auto-multiple-choiceStreamlining assessment, feedback, and archival with auto-multiple-choice
Streamlining assessment, feedback, and archival with auto-multiple-choice
Matthew Leingang
 

Plus de Matthew Leingang (20)

Making Lesson Plans
Making Lesson PlansMaking Lesson Plans
Making Lesson Plans
 
Streamlining assessment, feedback, and archival with auto-multiple-choice
Streamlining assessment, feedback, and archival with auto-multiple-choiceStreamlining assessment, feedback, and archival with auto-multiple-choice
Streamlining assessment, feedback, and archival with auto-multiple-choice
 
Electronic Grading of Paper Assessments
Electronic Grading of Paper AssessmentsElectronic Grading of Paper Assessments
Electronic Grading of Paper Assessments
 
Lesson 27: Integration by Substitution (slides)
Lesson 27: Integration by Substitution (slides)Lesson 27: Integration by Substitution (slides)
Lesson 27: Integration by Substitution (slides)
 
Lesson 26: The Fundamental Theorem of Calculus (slides)
Lesson 26: The Fundamental Theorem of Calculus (slides)Lesson 26: The Fundamental Theorem of Calculus (slides)
Lesson 26: The Fundamental Theorem of Calculus (slides)
 
Lesson 26: The Fundamental Theorem of Calculus (slides)
Lesson 26: The Fundamental Theorem of Calculus (slides)Lesson 26: The Fundamental Theorem of Calculus (slides)
Lesson 26: The Fundamental Theorem of Calculus (slides)
 
Lesson 27: Integration by Substitution (handout)
Lesson 27: Integration by Substitution (handout)Lesson 27: Integration by Substitution (handout)
Lesson 27: Integration by Substitution (handout)
 
Lesson 26: The Fundamental Theorem of Calculus (handout)
Lesson 26: The Fundamental Theorem of Calculus (handout)Lesson 26: The Fundamental Theorem of Calculus (handout)
Lesson 26: The Fundamental Theorem of Calculus (handout)
 
Lesson 25: Evaluating Definite Integrals (slides)
Lesson 25: Evaluating Definite Integrals (slides)Lesson 25: Evaluating Definite Integrals (slides)
Lesson 25: Evaluating Definite Integrals (slides)
 
Lesson 25: Evaluating Definite Integrals (handout)
Lesson 25: Evaluating Definite Integrals (handout)Lesson 25: Evaluating Definite Integrals (handout)
Lesson 25: Evaluating Definite Integrals (handout)
 
Lesson 24: Areas and Distances, The Definite Integral (handout)
Lesson 24: Areas and Distances, The Definite Integral (handout)Lesson 24: Areas and Distances, The Definite Integral (handout)
Lesson 24: Areas and Distances, The Definite Integral (handout)
 
Lesson 24: Areas and Distances, The Definite Integral (slides)
Lesson 24: Areas and Distances, The Definite Integral (slides)Lesson 24: Areas and Distances, The Definite Integral (slides)
Lesson 24: Areas and Distances, The Definite Integral (slides)
 
Lesson 23: Antiderivatives (slides)
Lesson 23: Antiderivatives (slides)Lesson 23: Antiderivatives (slides)
Lesson 23: Antiderivatives (slides)
 
Lesson 23: Antiderivatives (slides)
Lesson 23: Antiderivatives (slides)Lesson 23: Antiderivatives (slides)
Lesson 23: Antiderivatives (slides)
 
Lesson 22: Optimization Problems (slides)
Lesson 22: Optimization Problems (slides)Lesson 22: Optimization Problems (slides)
Lesson 22: Optimization Problems (slides)
 
Lesson 21: Curve Sketching (slides)
Lesson 21: Curve Sketching (slides)Lesson 21: Curve Sketching (slides)
Lesson 21: Curve Sketching (slides)
 
Lesson 21: Curve Sketching (handout)
Lesson 21: Curve Sketching (handout)Lesson 21: Curve Sketching (handout)
Lesson 21: Curve Sketching (handout)
 
Lesson 20: Derivatives and the Shapes of Curves (slides)
Lesson 20: Derivatives and the Shapes of Curves (slides)Lesson 20: Derivatives and the Shapes of Curves (slides)
Lesson 20: Derivatives and the Shapes of Curves (slides)
 
Lesson 20: Derivatives and the Shapes of Curves (handout)
Lesson 20: Derivatives and the Shapes of Curves (handout)Lesson 20: Derivatives and the Shapes of Curves (handout)
Lesson 20: Derivatives and the Shapes of Curves (handout)
 
Lesson 19: The Mean Value Theorem (slides)
Lesson 19: The Mean Value Theorem (slides)Lesson 19: The Mean Value Theorem (slides)
Lesson 19: The Mean Value Theorem (slides)
 

Dernier

Gardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch LetterGardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch Letter
MateoGardella
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
QucHHunhnh
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
ciinovamais
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
PECB
 
Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.
MateoGardella
 

Dernier (20)

fourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writingfourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writing
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdf
 
Gardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch LetterGardella_PRCampaignConclusion Pitch Letter
Gardella_PRCampaignConclusion Pitch Letter
 
Accessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactAccessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impact
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
 
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptxINDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across Sectors
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SD
 
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
 
Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot Graph
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
 
Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.Gardella_Mateo_IntellectualProperty.pdf.
Gardella_Mateo_IntellectualProperty.pdf.
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
SECOND SEMESTER TOPIC COVERAGE SY 2023-2024 Trends, Networks, and Critical Th...
SECOND SEMESTER TOPIC COVERAGE SY 2023-2024 Trends, Networks, and Critical Th...SECOND SEMESTER TOPIC COVERAGE SY 2023-2024 Trends, Networks, and Critical Th...
SECOND SEMESTER TOPIC COVERAGE SY 2023-2024 Trends, Networks, and Critical Th...
 

Lesson 30: Stokes's Theorem

  • 1. Section 13.7 Stokes’s Theorem Math 21a April 28, 2008 . . Image: Flickr user Al Giordino . . . . . .
  • 2. Announcements ◮ Final Exam: 5/23 9:15 am (tentative) ◮ Office hours Tuesday, Wednesday 2–4pm SC 323 ◮ Problem Sessions: Mon, 8:30; Thur, 7:30; SC 103b . . . . . .
  • 3. Outline Last Time: Surface and Flux integrals Stokes’s Theorem Statement Proof Worksheet Next Time: The Divergence Theorem . . . . . .