Methods of Applied Mathematics

Jeremy Levesley, University of Leicester
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Methods of Applied Mathematics

This module aims to introduce the student to fundamental methods in applied mathematics, to give the student experience in using the computer to solve mathematical problems, and to reinforce A level calculus skills.

  1. 2013/08/22

    Power Series 1

    Definition of power series with explanation of summation; radius of convergence; finding radius of convergence. An understanding of series is necessary before tackling power series.

    7 分钟

  2. 2013/08/22

    Power Series 2

    Taylor expansion and examples of finding terms

    6 分钟

  3. 2013/08/22

    Series 2

    Defining convergence and testing for convergence including the alternating series test, ratio test, and comparison test

    8 分钟

  4. 2013/08/22

    Series 3

    Explaining absolute convergence with a look at conditional convergence, rearrangements, and product rule

    2 分钟

  5. 2013/08/06

    Continuity 1

    Official definition and examples, including demonstration of using L'hopital's rule

    3 分钟

  6. 2013/08/06

    Differentiation 1

    Differentiation is the process by which we extract the gradient of a line from the formula of a line.

    7 分钟

  7. 2013/08/05

    Sequences 1

    Sequences are understood by first defining convergence: a sequence ends up at a certain value when it gets to infinity. Limits and closeness.

    9 分钟

  8. 2013/08/05

    Sequences 3

    Referring to sequences as a whole; null sequences; can ignore a finite number of sequence terms without affecting anything; domination; bounded sequences; convergent sequences; subsequences

    6 分钟
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This module aims to introduce the student to fundamental methods in applied mathematics, to give the student experience in using the computer to solve mathematical problems, and to reinforce A level calculus skills.

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