24 episodes

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.

Methods of Applied Mathematics Jeremy Levesley, University of Leicester

    • Education

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.

    • video
    Power Series 1

    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.

    • 6 min
    • video
    Power Series 2

    Power Series 2

    Taylor expansion and examples of finding terms

    • 5 min
    • video
    Series 2

    Series 2

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

    • 8 min
    • video
    Series 3

    Series 3

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

    • 2 min
    • video
    Continuity 1

    Continuity 1

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

    • 3 min
    • video
    Differentiation 1

    Differentiation 1

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

    • 6 min
  • © CC-NC-BY

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