Sequences and Series

Dublin City University

Course Description

  • Course Name

    Sequences and Series

  • Host University

    Dublin City University

  • Location

    Dublin, Ireland

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • 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

    Description
    This module introduces students to the principles and practice of mathematical analysis via the study of sequences and series. There will be an emphasis on constructing rigorous mathematical proofs of results from analysis. Students will also learn how to use diagrams and informal ideas to develop their knowledge and skills in this area of mathematics. Students will attend interactive lectures in which the class build some definitions of mathematical constructs, and engage in creating convincing mathematical arguments and proofs to support given statements.

    Learning Outcomes
    1. apply the epsilon-X formulation of statements involving convergence of sequences and series;
    2. construct rigorous arguments using the epsilon-X formulation and be able to distinguish between rigorous and informal arguments;
    3. construct and analyse their own examples and counterexamples of mathematical objects arising in analysis;
    4. use different structured approaches to solve problems in mathematical analysis.

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 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.