Recap

Results: 1608



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31

FUNCTIONS 5 minute review. Recap the composition g ◦ f for functions f : A → B and g : B → C, what it means for two functions f, g : A → A to commute and what it means for a function to have an inverse. (Surject

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Source URL: sam-marsh.staff.shef.ac.uk

- Date: 2018-02-09 10:41:13
    32

    COUNTABILITY AND PERMUTATIONS 5 minute review. Recap the definition of a countable set, that is a set in bijective correspondence with N = {1, 2, 3, . . .}, and that this is equivalent to the set having a presentation {

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    Source URL: sam-marsh.staff.shef.ac.uk

    - Date: 2017-03-31 10:19:18
      33

      MACLAURIN AND TAYLOR SERIES 5 minute review. Recap the definitions of Maclaurin and Taylor series, drawing attention to the x − a in the definition of the Taylor series at the point x = a. P f (n) (0) n

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      Source URL: engmaths.group.shef.ac.uk

      - Date: 2017-09-05 07:03:47
        34

        PARTIAL FRACTIONS & INTEGRATION BY PARTS 5 minute review. perhaps with R 1 Recap how partial fractions can be used in integration, d 0

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        Source URL: engmaths.group.shef.ac.uk

        - Date: 2017-08-24 06:17:44
          35

          VECTOR PRODUCTS ˆ , where θ is 5 minute review. Recap the vector product as u × v = |u||v| sin θ n ˆ is a unit vector perpendicular to both u and v the angle between u and v, and n

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          Source URL: engmaths.group.shef.ac.uk

          - Date: 2017-08-24 06:17:44
            36

            IMPROPER INTEGRALS 5 minute review. Recap two types of improper integral: (1) integrals over an infinite domain, and (2) integrals with isolated points where the integrand is not defined. Explain how both may be defined

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            Source URL: engmaths.group.shef.ac.uk

            - Date: 2017-02-28 09:52:11
              37

              ˆ L’HOPITAL’S RULE 5 minute review. Recap how to use l’Hˆopital’s Rule for limits of the form “0/0” (e.g. 2

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              Source URL: engmaths.group.shef.ac.uk

              - Date: 2017-08-24 06:17:44
                38

                DIFFERENTIATION OF VECTORS 5 minute review. Recap the fact that if a vector v depends on time, then we can ˙ and that this is calculated componentwise. differentiate to get dv dt (also written v),

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                Source URL: engmaths.group.shef.ac.uk

                - Date: 2017-12-20 11:54:52
                  39

                  SCALAR PRODUCTS 5 minute review. Recap how the standard unit basis vectors i, j and k work, and cover the fact that ai + bj + ck is often written as (a, b, c). Recap the scalar product, both as u · v = |u||v| cos θ (w

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                  Source URL: engmaths.group.shef.ac.uk

                  - Date: 2017-08-24 06:17:44
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