M5: Multivariable Calculus (2022-23)

Topic outline

• Select topic General

  General

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  • Select activity Announcements

    

    Announcements Forum
  • Select activity Prelims Mathematics Syllabus

    

    Prelims Mathematics Syllabus File
• Select topic Course Materials

  Course Materials
  • Select activity Online Lecture Notes

    

    Online Lecture Notes Folder

    Single PDF with all lecture notes

    
    

  • Select activity Sheet 1

    

    Sheet 1 Assignment

    This sheet covers the material from Lectures 1-2.

    Multiple Planar Integrals.
    

    Change of Variable

    
    

  • Select activity Sheet 2

    

    Sheet 2 Assignment

    This sheet covers the material from Lectures 3-4.

    Multiple Integrals.
    

    Change of Variable

    
    

  • Select activity Sheet 3

    

    Sheet 3 Assignment

    This sheet covers the material from Lectures 5-6.

    Surface Integrals.
    

    Flux Integrals.

    Solid Angle.

    
    

  • Select activity Sheet 4

    

    Sheet 4 Assignment

    This sheet covers the material from Lectures 7-8.

    Div, Grad and Curl.

    Physical interpretation.

    Identities.

    
    

  • Select activity Sheet 5

    

    Sheet 5 Assignment

    This sheet covers the material from Lectures 9-10.

    Green's Theorem.

    Divergence Theorem.

    
    

  • Select activity Sheet 6

    

    Sheet 6 Assignment

    This sheet covers the material from Lectures 11-12.

    Divergence Theorem.

    Examples.

    Consequences.

    
    

  • Select activity Sheet 7

    

    Sheet 7 Assignment

    This sheet covers the material from Lectures 13-14.

    Stokes' Theorem.
    

    Examples.

    Consequences.

    
    

  • Select activity Sheet 8

    

    Sheet 8 Assignment

    This sheet covers the material from Lectures 15-16.

    Gravity.

    Gauss' Flux Theorem.

    Poisson's Equation.