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MAINTENANCE BREAK EVERY MONTH ON THIRD MONDAY System will be unavailable at that time! Following maintenance breaks: 20.07.2026 klo 07.00-09.00(EET) 17.08.2026 klo 07.00-09.00(EET) 21.09.2026 klo 07.00-09.00(EET) 19.10.2026 klo 07.00-09.00(EET) 16.11.2026 klo 07.00-09.00(EET) 21.12.2026 klo 07.00-09.00(EET) * Server and network infrastructure maintenance work is scheduled for the nights between Wednesday and Thursday during the first two weeks of each month, from 00:00 to 06:00 (EET).
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  6. UEF:JohdatusDifferentiaalilaskentaan:2026-2027
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UEF: Johdatus differentiaalilaskentaan 2 op, 2026-2027

  • Teacher
    Janne Gröhn


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  • Digicampus maintenance breaks
    • MAINTENANCE BREAK EVERY MONTH ON THIRD MONDAY
    • System will be unavailable at that time!
    • Following maintenance breaks:
    • 20.07.2026 klo 07.00-09.00(EET)
    • 17.08.2026 klo 07.00-09.00(EET)
    • 21.09.2026 klo 07.00-09.00(EET)
    • 19.10.2026 klo 07.00-09.00(EET)
    • 16.11.2026 klo 07.00-09.00(EET)
    • 21.12.2026 klo 07.00-09.00(EET)
    • *
    • Server and network infrastructure maintenance work is scheduled
    • for the nights between Wednesday and Thursday during the first two weeks of each month, from 00:00 to 06:00 (EET).
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UEF: Johdatus differentiaalilaskentaan 2 op, 2026-2027

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Contents
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      Read before you start!
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      Course completion
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      Lecture course materials
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      Real numbers and absolute value
    • Quiz
      Quiz
      Exercises on absolute value
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      Points on the plane
    • Quiz
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      Exercises on points in the plane
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      Quiz
      Exercises on parabolas
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      Composite functions
    • Quiz
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      Exercises on composite functions
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      Factor theorem for polynomials
    • Quiz
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      Exercises on polynomials
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      1.1. Motivation
    • Quiz
      Quiz
      Exercises on sine, cosine and tangent
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      1.2. Limit of a function
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      1.3. One-sided limits and the squeeze theorem
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      1.4. Limits and infinity
    • Quiz
      Quiz
      Exercises on limits
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      1.5. Continuity
    • Quiz
      Quiz
      Exercises on continuity
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      1.6. Extreme value theorem and intermediate value theorem
    • Quiz
      Quiz
      Exercises on intermediate value theorem
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      2.1. Tangent lines and their slopes
    • Quiz
      Quiz
      Exercises on slope
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      2.2. Derivative
    • Quiz
      Quiz
      Exercises on derivative
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      2.3. Differentiation rules
    • Quiz
      Quiz
      Exercises on differentiation rules
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      2.4. Chain rule
    • Quiz
      Quiz
      Exercises on composite functions and the chain rule
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      2.5. Derivatives of trigonometric functions
    • Quiz
      Quiz
      Exercises on derivatives of trigonometric functions
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      2.6. Higher order derivatives
    • Quiz
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      Exercises on derivatives of all orders
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      2.7. The use of differentials and derivatives
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      2.8. Mean value theorem
    • Quiz
      Quiz
      Exercises on monotonicity
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      2.9. Implicit differentiation
    • Quiz
      Quiz
      Exercises on implicit differentiation