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Curricular information is subject to change
On completion of this module the student should be able to
1. Compute the supremum and Infimum of sets of real numbers,
2. Prove or disprove elementary statements concerning the supremum and Infimum of sets of real numbers,
3. Show that certain sequences converge or diverge and determine their limits when they converge,
4. Use the Monotone Convergence Theorem to establish various properties of sequences and subsequences,
5. Test for convergence a wide range of series,
6. Be able to distinguish between the concepts of absolute and conditional convergence,
7. Determine the radius of convergence and interval of convergence of a power series
8. Be able to distinguish between countable and uncountable sets,
9. Prove or disprove elementary statements concerning continuous functions.
Student Effort Type | Hours |
---|---|
Lectures | 36 |
Tutorial | 10 |
Autonomous Student Learning | 65 |
Total | 111 |
At least H4 (or equivalent) in Leaving Certificate Mathematics
Description | Timing | Component Scale | % of Final Grade | ||
---|---|---|---|---|---|
Examination: Final Examination | 2 hour End of Trimester Exam | Yes | Standard conversion grade scale 40% | No | 70 |
Continuous Assessment: Online assignments (WeBWorK or similar) | Throughout the Trimester | n/a | Standard conversion grade scale 40% | No | 15 |
Continuous Assessment: Written homework exercises | Throughout the Trimester | n/a | Standard conversion grade scale 40% | No | 15 |
Resit In | Terminal Exam |
---|---|
Autumn | Yes - 2 Hour |
• Group/class feedback, post-assessment
Not yet recorded.