Sequences and Series
Dublin City University
Area of Study
Taught In English
Course Level Recommendations
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Recommended U.S. Semester Credits2
Recommended U.S. Quarter Units3
Hours & Credits
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.
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.