Mathematical Methods II

National University of Ireland, Galway

Course Description

  • Course Name

    Mathematical Methods II

  • Host University

    National University of Ireland, Galway

  • Location

    Galway, Ireland

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • Prerequisites

    Admission to this course is subject to the agreement of the Head of the Discipline offering the course and will depend on the applicant's academic background in the relevant subject area.

  • Course Level Recommendations

    Lower

    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

  • ECTS Credits

    5
  • Recommended U.S. Semester Credits
    2
  • Recommended U.S. Quarter Units
    3
  • Overview

    This is a mathematical methods course that considers the following topics: Laplace transforms, vector calculus, multiple integration and integral theorems.

    Learning Outcomes
    calculate the Laplace transforms of some elementary functions;
    calculate the inverse Laplace transform of some elementary functions using standard techniques;
    solve various initial value problems for ordinary differential equations using Laplace transforms;
    calculate the gradient and directional derivative of a scalar field and be able to interpret these quantities;
    calculate the divergence and curl of a vector field and be able to interpret these quantities;
    find the normal of a surface, find the tangent plane to a surface, and calculate surface integrals;
    calculate volume integrals and be able to verify the divergence theorem for elementary volumes and vector fields.

Course Disclaimer

Courses and course hours of instruction are subject to change.

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.

ECTS (European Credit Transfer and Accumulation System) credits are converted to semester credits/quarter units differently among U.S. universities. Students should confirm the conversion scale used at their home university when determining credit transfer.

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

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.