Requirements/prerequisites: None

Duration:
Number of lectures per week: 3, including 1 tutorial

Assessment:

End-of-year Examination:

Description:

• Liinear Algebra:
  • Systems of linear equations and matrices
  • Determinants
  • Vectors in 2-space and 3-space
  • Eigenvalues and eigenvectors, diagonalization
  • Application to differential equations, quadratic forms, LU decomposition, least squares method..

• Probability and Statistics:
  • Probabilities, mutual exclusivity and independence
  • Conditional probbaility and Bayes' theorem
  • Binomial, Poisson and normal distributions

• Differential equations: First order, separating variables, exact, linear. Second and higher order linear with constant coeffecients.
• Introduction to partial derivatives, conic sections, polar coordinates.
• Complex variable, difference equations.

Textbooks:
H. Anton, Elementary Linear Algebra (7th ed), Wiley, 1994. (Chapters 1-3, sections 4.2, 4.3, 6.1, 6.2, 8.1, 8.3)
G. B. Thomas & R. L. Finney, Calculus and Analytic Geometry (9th edition), Addison-Wesley 1996. (Sections 9.1-9.3, 9.6, 9.7, 12.3).

Nov 13, 2000