COURSE 2S2
SF Maths for Science Students


[Syllabus] [Recommended Texts] [Web Links] [Problem Sheets]

2S2 class mailing list


These pages are only accessible from computers within College. However if you have a computer connected to the internet at home you can gain access using your Trinity username and password. There are instructions on the College ISS pages - see the page on Web Access at http://isservices.tcd.ie/internet/webaccess.php.

Syllabus

This course covers topics of enormous importance in the physical sciences:
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Recommended Texts

  • Erwin Kreyszig, Advanced Engineering Mathematics, (8th edition) Wiley, 1999.
  • Howard Anton and Chris Rorres, Elementary Linear Algebra applications version, (8th edition) Wiley 2000.
  • Howard Anton, Calculus: a new horizon (6th edition), Wiley, 1998.
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Web Links

Thomas' Calculus
Use this for calculus revision.
It also contains 'Expanded Biographies' of mathematicians and scientists who contributed to the development of Calculus, and a supplement on the solution of differential equations.
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Problem Sheets

Problem Sheet 1, Fourier series. See also Kreyszig problems for section 10.2.
Answers to sheet 1

Problem Sheet 2, Fourier series. See also Kreyszig problems for section 10.3 and 10.4.
Answers to sheet 2

Problem Sheet 3, Fourier integrals. See also Kreyszig problems for section 10.8, 10.9 and 10.10.
Answers to sheet 3

Assignment on Fourier series and integrals
Answers to assignment

Revision problems on JF differential equations
Answers to revision problems

Problem Sheet 4, Differential equations
Answers to sheet 4

Problem Sheet 5, Legendre polynomials
Answers to sheet 5

Problem Sheet 6, Extended power series method and Bessel functions
Answers to sheet 6

Problem Sheet 7, Partial Differential Equations
Answers to sheet 7

Problem Sheet 8, Linear independence, rank and nullity of matrices
Answers to sheet 8

Problem Sheet 9, Linear transformations, change of basis, and diagonalisation of matrices.
Answers to sheet 9

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Sara.McMurry@tcd.ie, September 2006