YMX0233 Mathematical analysis II

Section outline

• Select section General information

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  General information

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  • Select activity Introduction to the course

    

    Introduction to the course Page
  • Select activity Course info (link to study information system)

    

    Course info (link to study information system) URL
  • Select activity YMX0233 Mathematical analysis II extended syllabus

    

    YMX0233 Mathematical analysis II extended syllabus File PDF
  • Select activity Teacher general announcements

    

    Teacher general announcements Forum
  • Select activity Course participant's forum (ask questions from a teacher/other participants)

    

    Course participant's forum (ask questions from a teacher/other participants)
  • Select activity Course feedback

    

    Course feedback
• Select section Functions of several variables

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  Functions of several variables

  Functions of two and three variables. The graph of function of two variables. Limit and continuity of function of two variables

  • Select activity Lecture: Functions of several variables

    

    Lecture: Functions of several variables File
  • Select activity Video lecture: Functions of several variables

    

    Video lecture: Functions of several variables External tool
  • Select activity Exercises 1

    

    Exercises 1 File
• Select section Partial derivatives

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  Partial derivatives

  Partial derivatives of functions of two and three variables. Total differential. Partial derivatives of higher order.

  • Select activity Lecture 2: Partial derivatives

    

    Lecture 2: Partial derivatives File
  • Select activity Video lecture: Partial derivatives

    

    Video lecture: Partial derivatives External tool
  • Select activity Exercises 2

    

    Exercises 2 File
• Select section Application of partial derivatives

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  Application of partial derivatives

  Gradient of scalar field. Divergence and cull of vector field. Local extrema of function of two variables

  • Select activity Lecture: Applications of partial derivatives

    

    Lecture: Applications of partial derivatives File
  • Select activity Video lecture: Applications of partial derivatives

    

    Video lecture: Applications of partial derivatives External tool
  • Select activity Exercises 3

    

    Exercises 3 File
• Select section Double integral

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  Double integral

   Double integral. Evaluation of double integral. Double integral in polar coordinates

  • Select activity Lecture 4: Double integral

    

    Lecture 4: Double integral File
  • Select activity Exercises 4

    

    Exercises 4 File
  • Select activity Video lecture: applications of partial derivatives and double integral

    

    Video lecture: applications of partial derivatives and double integral External tool
• Select section Triple integral

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  Triple integral

  Triple integral. Evaluation of triple integral. Triple integral in cylindrical coordinates

  • Select activity Lecture 5: Triple integral

    

    Lecture 5: Triple integral File
  • Select activity Exercises: Triple integral and volume

    

    Exercises: Triple integral and volume File
  • Select activity Video lecture: double and triple integral

    

    Video lecture: double and triple integral External tool
• Select section Line integral

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  Line integral

  Line integral of scalar field. Line integral of vector field. Green's formula. Path independent line integrals

  • Select activity Lecture 6: Line integral

    

    Lecture 6: Line integral File
  • Select activity Exercises: Line integral

    

    Exercises: Line integral File
  • Select activity Line integral

    

    Line integral URL
  • Select activity Video lecture: Line integral

    

    Video lecture: Line integral External tool
  • Select activity Video lecture: line integral and number series

    

    Video lecture: line integral and number series External tool
• Select section Surface integral

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  Surface integral

  Surface integral with respect to area of the surface. Surface integral over the projection of the surface

  • Select activity Lecture 7: Surface integral

    

    Lecture 7: Surface integral File
  • Select activity Exercises 7

    

    Exercises 7 File
• Select section Series

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  Series

  The series. The tests for convergence of series.

  • Select activity Lecture 8: Series

    

    Lecture 8: Series File
  • Select activity Exercises 8

    

    Exercises 8 File
  • Select activity Video lecture on 2nd of May: series

    

    Video lecture on 2nd of May: series External tool
• Select section Individual exercises

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  Individual exercises

  Here You can find individual exercises provided with answers at the end of the file

  • Select activity YMX0233 individual exercises

    

    YMX0233 individual exercises File
• Select section YMX0233 Mathematical Analysis II exam

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  YMX0233 Mathematical Analysis II exam

  • Select activity Sample questions for theoretical exam

    

    Sample questions for theoretical exam File