Requirements/prerequisites: none (except 1S)

Duration:
Number of lectures per week: 2.5, including tutorials

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 4 (Euclidean vector spaces); Chapter 5 (General vector spaces - simple treatment) Chapter 7 (Eigenvalues and eigenvectors).

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.

Oct 13, 2005