Course: ANALYTICAL AND STOCHASTIC MATHEMATICAL METHODS FOR ENGINEERING 2025-2026 - INP5070357

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Select section INP5070357 - ANALYTICAL AND STOCHASTIC MATHEMATICAL METHODS FOR ENGINEERING 2025-2026 - PROF. PAOLO GUIOTTO

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INP5070357 - ANALYTICAL AND STOCHASTIC MATHEMATICAL METHODS FOR ENGINEERING 2025-2026 - PROF. PAOLO GUIOTTO

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- Select activity Announcements
  
  Announcements Forum
- Select activity Educational Offer Page
  
  Educational Offer Page URL
- Select activity Online Class
  
  Online Class Zoom meeting
- Select activity Course Presentation
  
  Course Presentation File
Select section Accessibilità e Questionario intermedio sull’organizzazione e l’efficacia della didattica

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Accessibilità e Questionario intermedio sull’organizzazione e l’efficacia della didattica

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Select section Analysis

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Analysis
- Select activity Lecture Notes
  
  Lecture Notes File
  
  Updated on Oct 15, 2025 with minor changes to exercises of Ch. 4.
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  Slides
  
  Select activity Class 1, sept 30, 2025
  
  Class 1, sept 30, 2025 File
  
  Sigma algebras: definition and examples. Abstract measures: definition and examples.
  
  Select activity Class 2, oct. 1, 2025
  
  Class 2, oct. 1, 2025 File
  
  Counting measure. Properties of abstract measures: monotonicity, finite additivity and measure of the union/difference, continuity from below and from above, examples.
  
  lebesgue measure: introduction, intervals, definition of outer measure.
  
  Select activity Class 3, oct 3, 2025
  
  Class 3, oct 3, 2025 File
  
  Exercises on abstract measures. Countable sub-additivity. Lebesgue outer measure, main properties.
  
  Select activity Class 4, oct 6, 2025
  
  Class 4, oct 6, 2025 File
  
  Lebesgue class, basic facts and properties. Measurable functions: definition and examples (indicator and simple functions).
  
  Select activity Class 5, oct 7, 2025
  
  Class 5, oct 7, 2025 File
  
  Properties of measurable functions.
  
  Select activity Class 6, oct 10, 2025
  
  Class 6, oct 10, 2025 File
  
  Exercises on Lebesgue measure.
  definition of integral.
  
  Select activity Class 7, oct 13, 2025
  
  Class 7, oct 13, 2025 File
  
  Definition of integral. Chebichev inequality.
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  Videos
  
  Select activity Class 1, part 1/3, Sept 30, 2025
  
  Class 1, part 1/3, Sept 30, 2025 Kaltura Video Resource
  
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  Class 1, part 2/3, Sept 30, 2025 Kaltura Video Resource
  
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  Class 1, part 3/3, Sept 30, 2025 Kaltura Video Resource
  
  Select activity Class 2, Oct 1, 2025
  
  Class 2, Oct 1, 2025 Kaltura Video Resource
  
  Select activity Class 3, oct 3, 2025
  
  Class 3, oct 3, 2025 Kaltura Video Resource
  
  Select activity Class 4, oct 6, 2025
  
  Class 4, oct 6, 2025 Kaltura Video Resource
  
  The video recording has been interrupted by a blackout.
  
  Select activity Class 5, oct 7, 2025
  
  Class 5, oct 7, 2025 Kaltura Video Resource
  
  Select activity Class 6, oct 10, 2025
  
  Class 6, oct 10, 2025 Kaltura Video Resource
  
  Select activity Class 7 1/2, oct 13, 2025
  
  Class 7 1/2, oct 13, 2025 Kaltura Video Resource
  
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  Class 7 2/2, oct 13, 2025 Kaltura Video Resource
  
  Select activity Class 8, part 1/2, Oct 15, 2025
  
  Class 8, part 1/2, Oct 15, 2025 Kaltura Video Resource
  
  Select activity Class 8, part 2/2, Oct 15, 2025
  
  Class 8, part 2/2, Oct 15, 2025 Kaltura Video Resource
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  Homeworks
  
  Select activity Homework solutions
  
  Homework solutions File
  
  Updated Oct 13.
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  Exam
Select section Probability

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Probability