School Of Computing, Engineering And Mathematics

Advanced Mathematics for BusinessWestern Sydney University Unit Code: 200026.3


Student Contribution Band: 2

Level: 2

Credit Points: 10

300673 Mathematics 1B

About this Unit
This unit extends the concepts presented in Mathematics 1A and Mathematics 1B and introduces advanced mathematical concepts for solving real world problems such as asset allocation and option pricing. The unit will include first order linear differential equations, the binomial no-arbitrage pricing model, multivariate calculus, optimisation of functions of several variables, Lagrange multipliers with application to maximizing the expected utility which is at the heart of the Capital asset pricing model, construction and properties of the Wiener process, solving first order linear differential equations, and derivation of the fundamental solution for the heat equation. The unit will also include evaluation of eigen-values and eigen-vectors and diagonalisation of matrices.

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