School of Mathematics
Course 2S2 Mathematics for Science Students
SF Students of Mathematics as a
whole subject within the Natural Science Moderatorships
Mr E. Prodanov
none (except 1S)
Number of lectures per week:
2.5, including one tutorial every two weeks
Corrected exercises contribute 10% of the final mark.
A three hour final examination held in
June covers the entire course.
A 3 hour supplemental examination also covers the entire course.
- Linear Algebra with Applications
Anton & Rorres: Review of Chapter 1 (systems of Linear
Equations and Matrices); Chapter 2 (Determinants); Chapter 4
(Euclidean vector spaces); Chapter 5 (General vector spaces
- simple treatment); Chapter 6 (Inner product spaces -
6.1, 6.2, 6.4); Chapter 7 (Eigenvalues and eigenvectors).
- 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 1-4 (excluding parts already covered in
1S2); Chapter 11, 11.1-11.3.
- Erwin Kreyszig, Advanced Engineering Mathematics, (7th
edition) Wiley, 1993.
- Howard Anton and Chris Rorres, Elementary Linear Algebra
applications version, (7th edition) Wiley 1994.
Howard Anton, Elementary Linear Algebra, (7th edition) Wiley 1994.
- Howard Anton, Calculus: a new horizon
(6th edition), Wiley, 1998.
- S. Lipschutz, Linear Algebra (Schaum's Outline Series).
S. Wolfram, Mathematica a system for doing mathematics by computer,
Addison-Wesley (3rd edition) 1996, published by Wolfram Media and
Cambridge University Press.
Oct 8, 1999