Leagan Gaeilge
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If you are looking for the page for the current academic year, please see nuigalway.blackboard.com, or contact the module's lecturer. |
MA180-2/MA190/MA186 Mathematics - Semester 2 Calculus
These are the web pages for...
See also:
- pages for Semester 1 Algebra and Calculus;
- pages for Semester 2 Algebra.
| News | Details | Course notes | Tutorials | Assignments | Links and FAQ |
News and Announcements
Some news, announcements and information about this module will be posted here. This is in addition to any announcements made in lectures.
- 20/01/13: Tutorials start this week → more details.
- 20/01/13: The homework assignment of Semester 2 is open. Deadline is 10am on Feb 1st. → more details.
- 01/01/13: First lecture will be Monday, Jan 7th at 1pm in AM250.
Course Information
| Course codes: | MA180 (Science), MA185 (Arts) and MA190 (Computer Science and Information Technology). | ||
| Lecturers: |
Dr Niall Madden, Room
ADB-2013, Arás de Brún.
Email: Niall.Madden@NUIGalway.ie Dr Rachel Quinlan, Room ADB-1007, 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. | ||
Course and Lecture Notes
The course notes are divided into three Chapters:
- Chapter 1: The real numbers;
- Chapter 2: Sequences and series (to be posted soon); and
- Chapter 3: Integral Calculus (to be posted in several weeks).
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 |
Links, and Frequently Asked Questions
- SUMS: Support for Undergraduate Mathematics Students is a free drop-in support centre for all NUI Galway students who are taking any mathematics course. It is located in Aras de Brun, C116, and is open Monday-Thursday, 2pm-5pm.
- Many typical questions are answered in the First Year Information Handbook
- A mathematical theorem explained through the medium of interpretive dance.
School of Mathematics, Statistics and Applied Mathematics
National University of Ireland, Galway, University Road, Galway, Ireland.
Phone: +353 (0)91 492332 (direct) , +353 (0)91 524411 x2332 (switchboard)
Fax: +353 (0)91 494542 Email: Mary.Kelly@nuigalway.ie
This page was last updated Friday, September 04
National University of Ireland, Galway, University Road, Galway, Ireland.
Phone: +353 (0)91 492332 (direct) , +353 (0)91 524411 x2332 (switchboard)
Fax: +353 (0)91 494542 Email: Mary.Kelly@nuigalway.ie
This page was last updated Friday, September 04