////MA207 Exam Solutions 2010-2014

MA207 Exam Solutions 2010-2014

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MA207 Exam Solutions 2010-2014. A mixture of hand written and typed solutions.

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MA207 Exam Solutions 2010-2014.
A mixture of hand written and typed solutions.

Course content of MA207

This is a second course in quantitative methods, following on directly from Quantitative Methods (Mathematics) (MA107). This course will contain further algebra and calculus. As with the course MA107, the emphasis will be on applications in economics and finance. Topics covered: Matrix methods in portfolio analysis. Linear independence. Rank of a matrix. Eigenvalues and eigenvectors. Diagonalisation. Linear systems of recurrence equations. Markov process. Second-order recurrence equations. Macroeconomic models. Vector geometry. Gradient and directional derivative. Tangent hyperplanes and the optimal bundle. Resource allocation and Pareto efficiency. Orthogonal matrices and quadratic forms. Critical points of quadratic functions. Taylor’s approximation. Optimisation of functions of two or more variables.

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