School of Mathematics School of Mathematics
Course 2S2 Mathematics for Science Students 2000-01  ( SF Students of Mathematics as a whole subject within the Natural Science Moderatorships )
Lecturer: Dr. S. McMurry

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.

End-of-year Examination: A three hour final examination held in June covers the entire course. A 3 hour supplemental examination also covers the entire course.

Description:

• Fourier Analysis
Kreysig: Chapter 10 (Fourier Series and Fourier Transforms)

• Ordinary Differential Equations with Applications, Special Functions, Introduction to Partial Differential Equations
Kreysig: from Chapters 1-4 (excluding parts already covered in 1S2); Chapter 11, 11.1-11.3.

• 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). Applications.

Textbooks:

Essential References

1. Erwin Kreyszig, Advanced Engineering Mathematics, (7th edition) Wiley, 1993.
2. Howard Anton and Chris Rorres, Elementary Linear Algebra applications version, (7th edition) Wiley 1994. OR Howard Anton, Elementary Linear Algebra, (7th edition) Wiley 1994.
3. Howard Anton, Calculus: a new horizon (6th edition), Wiley, 1998.

Recommended references

1. S. Lipschutz, Linear Algebra (Schaum's Outline Series).
2. S. Wolfram, Mathematica a system for doing mathematics by computer, Addison-Wesley (3rd edition) 1996, published by Wolfram Media and Cambridge University Press.

Nov 19, 2001

File translated from TEX by TTH, version 2.70.
On 19 Nov 2001, 09:40.