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:

• Linear Algebra with Applications
  Anton & Rorres: Review of Chapters 1 (systems of Linear Equations and Matrices), 2 (Determinants) and 3 (Vectors in 2-space and 3-space; 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 1-4 (excluding parts already covered in 1S2); Chapter 11, 11.1-11.3.

Essential References

1. Erwin Kreyszig, Advanced Engineering Mathematics, (7th edition) Wiley, 1993.
2. Howard Anton and Chris Rorres, Elementary Linear Algebra applications version, (8th edition) Wiley 2000. 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.

Oct 11, 2000