## MA1S12: Calculus with applications for Scientists
### Hilary term, 2015
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#### Course outline:
* Application of definite integrals in geometry (area between curves, volume of a solid, length of a plane curve, area of a surface of revolution).
* Methods of integration (integration by parts, trigonometric substitutions, numerical integration, improper integrals).
* Differential equations (separable DE, first order linear DE, Euler method).
* Infinite series (convergence of sequences, sums of infinite series, convergence tests, absolute convergence, Taylor series).
* Parametric curves and polar coordinates.
There are two parts to MA1S12, the other part is Discrete Mathematics with
[Prof. Colm Ó Dúnlaing](http://www.maths.tcd.ie/~odunlain/).
Past exam papers can be found [here](http://www.tcd.ie/Local/Exam_Papers).
#### Lecture times:
* Monday 12pm (MacNeil Theatre)
* Tuesday 12pm (MacNeil Theatre)
* Tuesday 5pm (MacNeil Theatre)
#### Assignments:
* [Homework 1](homework01.pdf), date due: Week 2.
[Tutorial 1](tut01.pdf).
* [Homework 2](homework02.pdf), date due: Week 3.
[Tutorial 2](tut02.pdf) ([Answers](tut02_sol.pdf)).
* [Homework 3](homework03.pdf), date due: Week 4.
[Tutorial 3](tut03.pdf) ([Answers](tut03_sol.pdf)).
* [Homework 4](homework04.pdf), date due: Week 5.
[Tutorial 4](tut04.pdf)
([Answers](tut04_sol.pdf)).
* [Homework 5](homework05.pdf), date due: Week 6.
[Tutorial 5](tut05.pdf)
([Answers](tut05_sol.pdf)).
* [Homework 6](homework06.pdf), date due: Week 8.
[Tutorial 6](tut06.pdf)
([Answers](tut06_sol.pdf)).
* [Homework 7](homework07.pdf), date due: Week 9.
[Tutorial 7](tut07.pdf).
* [Homework 8](homework08.pdf), date due: Week 10.
[Tutorial 8](tut08.pdf).
* [Homework 9](homework09.pdf), date due: Week 11.
[Tutorial 9](tut09.pdf).
* [Homework 10](homework10.pdf), date due: Week 12.
[Tutorial 10](tut10.pdf).
#### Tutorials:
Starting in week 2. Assignments and tutorial work will count for 20% of the marks. There will be final examination in May counting for the remaining 80%.
A1 | Monday | 14:00 | M20 | Leo |
A2 | Thursday | 16:00 | ST107 | Robert |
A3 | Monday | 14:00 | Salmon | Gemma |
A4 | Thursday | 16:00 | M20 | Dillon |
A5 | Wednesday | 13:00 | Synge | Joy |
A6 | Friday | 13:00 | Synge | Leo |
A7 | Friday | 13:00 | CLLT | Laura |
#### Recommended reading:
* *Calculus, Late Transcendentals.* 9th edition by H. Anton, I. Bivens, S. Davis.
We will cover most of Chapters 5, 7, 8, 9, 10 and sections 13.1, 13.3.
Hamilton, Lending S-LEN 515 P23*8 P23*8;1 P23*8;5-10
Hamilton, Counter Reserve 515 P23*8;2-4
* *Calculus, Single Variable.* 9th edition by H. Anton, I. Bivens, S. Davis.
Hamilton 515 P2*8;4, S-LEN 515 P2*8
* *Calculus, Early Transcendentals.* 9th edition by H. Anton, I. Bivens, S. Davis.
Links to the
[Paperback](http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1118092481,descCd-collegeEdNotes.html)
and
[E-book](http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1118379314.html)
versions at wiley.com.
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Questions and comments to