Group 5

Results: 7134



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81

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
    82

    MAS115 PRESENTATION LAB 5 Start a new file in either TeXworks or TeXmaker, copying the preamble from your most recent document (or use the preamble template on the course website). 1. Further LATEX commands

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    Source URL: mas115.group.shef.ac.uk

    - Date: 2017-10-25 10:51:44
      83

      INTEGRATION BY INSPECTION 5 minute review. Remind students that F (x) is an indefinite integral of f (x) if and only if F 0 (x) = f (x), and that we write Z f (x) dx = F (x) + c. Here f (x) is the integrand and dx is the

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

      - Date: 2017-08-24 06:17:44
        84

        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
          85

          REVISION 5 minute review. Very briefly talk students through what was covered in the course. (I wouldn’t waste time writing this down!) • Functions: curve sketching, binomial theorem, inverse functions, exponential &

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

          - Date: 2017-08-24 06:17:44
            86

            INVERSE FUNCTIONS, EXPONENTIALS AND LOGARITHMS 5 minute review. things like A brief reminder of inverse functions, exp and ln covering

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

            - Date: 2017-08-24 06:17:44
              87

              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
                88

                MORE DETERMINANTS AND INVERSES 5 minute review. Remind students how to compute determinants for any n × n matrix using any row/column. Remind students how to compute the cofactor Cij = (−1)i+j det(Mij ), where Mij is

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

                - Date: 2017-03-15 13:45:45
                  89

                  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
                    90

                    VECTORS 5 minute review. Recap the difference between scalars (numbers) and vectors (arrows). Remind them about magnitudes, and how addition and scalar multiplication works. Please also emphasise that vectors should be

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

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