Modelling with Differential Equations

Victoria University of Wellington

Course Description

  • Course Name

    Modelling with Differential Equations

  • Host University

    Victoria University of Wellington

  • Location

    Wellington, New Zealand

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • Prerequisites

    (MATH 142, 151) or (ENGR 121, 122)

  • Course Level Recommendations

    Upper

    ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

    Hours & Credits

  • Credit Points

    15
  • Recommended U.S. Semester Credits
    3 - 4
  • Recommended U.S. Quarter Units
    4 - 6
  • Overview

    Types of ordinary differential equations and methods of solution (Fourier series, Laplace transforms, numerical algorithms); boundary-value and initial-value problems; systems of equations; qualitative analysis of solutions; applications.

    Course content
    Ordinary differential equations: first order and higher order, methods of solution using integration, series, and numerical methods, modeling and applications. Laplace transforms and application to solving DEs; linear systems of differential equations; Fourier series and transform, applications to solving initial and boundary value problems.


    Course learning objectives
    Students who pass this course should be able to:

    • Recognize and classify various types of ODEs.
    • Apply a variety of techniques, including Maple, for solving ODEs and recognize their limitations.
    • Explain the theory of, and prove simple theorems about ODEs.
    • Interpret the physical relevance of an ODE and construct a simple ODE modeling an application.
    • Express clearly in writing mathematical arguments, providing justification and explanation as appropriate.

Course Disclaimer

Courses and course hours of instruction are subject to change.

Eligibility for courses may be subject to a placement exam and/or pre-requisites.

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Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.

Please reference fall and spring course lists as not all courses are taught during both semesters.

Availability of courses is based on enrollment numbers. All students should seek pre-approval for alternate courses in the event of last minute class cancellations

Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.