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Some news, announcements and information about this module will be posted here. This is in addition to any announcements made in lectures.
Course codes: | MA180 (Science), MA185 (Arts) and MA190 (Computer Science and Information Technology). | ||
Lecturers: |
Dr Niall Madden, Room
ADB-1013, Arás de Brún.
Email: Niall.Madden@NUIGalway.ie Dr Rachel Quinlan, Room ADB-G007, Arás de Brún. Email: rachel.quinlan@nuigalway.ie |
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Lectures: | Monday 13:00--14:00 in AM250
Tuesday 10:00--11:00 in the Cairnes lecture theatre |
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First Lecture: | Monday, 7th Jan. | ||
Workshops: | TBA | ||
Course Content: | The real numbers, sequences and series; integral calculus. | ||
Course notes: | Will be posted here in coming soon | ||
Recommended texts: | TBA. | ||
Course website: | Information and course documents will be posted here, and also on NUIGalway.Blackboard.com. Also, we'll use Blackboard for announcements and for posting grades. | ||
Assessment: | There will be 6 online homeworks on Algebra and Calculus during the semester, as well as a single 2-hour exam at the end of the semester. |
The course notes are divided into three Chapters:
These are the primary source of information on the mathematics contained in this course.
In addition, below you'll find the slides used in lectures. You should think of these as abbreviated versions of the full notes. In addition, I've posted annotated versions of the notes; these include the scribbles that I added in class. I don't think they are worth printing, but they might be useful when reviewing your own notes.
1. | Mon 07/01/13 | Lecture 1 | Introduction to the course, and the the real numbers. | annotated |
2. | Tue 08/01/13 | Lecture 2 | Finite and infinite sets. And cardinality. | annotated |
3. | Mon 14/01/13 | Lecture 3 | Bijective correspondences. Countably infinite sets. | annotated |
4. | Tue 15/01/13 | Lecture 4 | Counting the rationals. Towards counting the reals. | annotated |
5. | Mon 21/01/13 | Lecture 5 | Counting the reals. | annotated |
6. | Tue 22/01/13 | Lecture 6 | Supremum and Infimum. | annotated |
7. | Mon 28/01/13 | Lecture 7 | The Axiom Completeness, and the concept of convergence. | annotated |
8. | Tue 29/01/13 | Lecture 8 | Convergence of sequences. | annotated |
9. | Mon 04/02/13 | Lecture 9 | Monotonic sequences. | annotated |
10. | Tue 05/02/13 | Lecture 10 | Monotonic sequences. | annotated |
11. | Mon 11/02/13 | Lecture 11 | Introduction to series | annotated |
12. | Tue 12/02/13 | Lecture 12 | Power Series | No annotations today. |
13. | Mon 18/02/13 | Lecture 13 | Maclaurin and Taylor Series | annotated |
14. | Tue 19/02/13 | Lecture 14 | Taylor Series and applications | annotated |
15. | Mon 25/02/13 | Lecture 15 | Areas under curves | |
16. | Tue 26/02/13 | Lecture 16 | The Fundamental Theorem of Calculus | |
17. | Mon 04/03/13, Tuesday 05/03/13 | Lectures 17 and 18 | The Indefinite Integral and finding antiderivatives - substitution | |
17. | Mon 11/03/13, Tuesday 12/03/13, Monday 18/03/13 | Lectures 19, 20 and 21 | Integration by parts, and integrating rational functions | |
18. | Mon 25/03/13 | Lecture 22 | Improper integrals |