**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

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On 13 Nov 2000, 14:41.