( SF Mathematics as a whole subject within the Natural Science Moderatorships )
Lecturer: Dr. Ralph Kenna

Requirements/prerequisites: Course 1S

Duration:
Number of lectures per week: 3

Assessment: None

End-of-year Examination: One 3-hour annual examination

Description:

• Functions of several variables. Vector calculus. Differential operator and its properties.
  Anton (Calculus): Chapter 15.

• Probability and Statistics
  Kreysig: from Chapter 22-23 (excluding topics covered in 1S).

• Multiple integrals, change of variables, Jacobians. Line, surface and volume integrals. Gauss's theorem and Stokes' theorem.
  Anton (Calculus): Chapters 16-17.

Textbooks:

Essential References

1. Howard Anton, Calculus: a new horizon , published by Wiley.
2. Erwin Kreyszig, Advanced Engineering Mathematics, published by Wiley.

Recommended references

1. S. Wolfram, Mathematica a system for doing mathematics by computer, Addison-Wesley, published by Wolfram Media and Cambridge University Press.

2. G. B. Thomas & R.L. Finney, Calculus and Analytic Geometry, published by Addison Wesley.

Oct 11, 2000