Monash University Handbook 2011 Undergraduate - Unit

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.

Synopsis

Linear algebra: vectors and matrices, Matrix algebra with applications to flow problems and Markov chains; matrix inversion methods. Probability and combinatorics: elementary probability theory, random variables, probability distributions, expected value; counting arguments in combinatorics; statistics. Calculus: Differation and partial differentiation; constructing Taylor series expansions.

Objectives

At the completion of this unit students will have:

• knowledge of linear algebra, elementary probability theory, statistics and elementary calculus;
• an understanding of the basics of linear algebra, the principles of probability and experimental design, counting principles in combinatorics, and the fundamentals of calculus;
• skills to do counting arguments with combinatorial objects, use Bayes' Theorem, manipulate matrices, differentiate functions of several variables and construct Taylor series for functions.

Assessment

Examination (3 hours): 70%; In-semester assessment: 30%

Chief examiner(s)

Dr Thomas Hall

Contact hours

3 hrs lectures/wk, 1 hr laboratory/wk

Prohibitions

MAT1841