School of Mathematics
School of Mathematics
Course 2S2 Mathematics for Science Students
20002001
(
SF Students of Mathematics as a
whole subject within the Natural Science Moderatorships
)
Lecturer:
R. M. Aron & T. G. Leness
Requirements/prerequisites:
none (except 1S)
Duration:
Number of lectures per week:
2.5, including one tutorial every two weeks
Assessment:
Corrected exercises contribute 10% of the final mark.
Endofyear Examination:
A three hour final examination held in
June covers the entire course.
A 3 hour supplemental examination also covers the entire course.
Description:
 Linear Algebra with Applications
Anton & Rorres: Review of Chapters 1 (systems of Linear
Equations and Matrices), 2 (Determinants) and 3 (Vectors
in 2space and 3space; Chapter 4
(Euclidean vector spaces); Chapter 5 (General vector spaces
 simple treatment); Chapter 6 (Inner product spaces);
Chapter 7 (Eigenvalues and eigenvectors); Chapter 8 (Linear
Transformations); Applications.
 Fourier Analysis
Kreysig: Chapter 10
(Fourier Series, including Complex Fourier Series, Fourier Transforms).
 Ordinary Differential Equations with Applications, Special
Functions, Introduction to Partial Differential Equations
Review and Further Examples from Anton (Calculus) Chapter 10;
Kreysig: from Chapters 14 (excluding parts already covered in
1S2); Chapter 11, 11.111.3.
Textbooks:
Essential References
 Erwin Kreyszig, Advanced Engineering Mathematics, (7th
edition) Wiley, 1993.
 Howard Anton and Chris Rorres, Elementary Linear Algebra
applications version, (8th edition) Wiley 2000.
OR
Howard Anton, Elementary Linear Algebra, (7th edition) Wiley 1994.
 Howard Anton, Calculus: a new horizon
(6th edition), Wiley, 1998.
Recommended references
 S. Lipschutz, Linear Algebra (Schaum's Outline Series).

S. Wolfram, Mathematica a system for doing mathematics by computer,
AddisonWesley (3rd edition) 1996, published by Wolfram Media and
Cambridge University Press.
Oct 11, 2000
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On 11 Oct 2000, 10:55.