Modelling with Differential Equations
Victoria University of Wellington
Wellington, New Zealand
Area of Study
Taught In English
(MATH 142, 151) or (ENGR 121, 122)
Course Level Recommendations
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.
Recommended U.S. Semester Credits3 - 4
Recommended U.S. Quarter Units4 - 6
Hours & Credits
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.
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.
Courses and course hours of instruction are subject to change.
Eligibility for courses may be subject to a placement exam and/or pre-requisites.
Some courses may require additional fees.
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.