Mathematics 2
G Coldicutt
4 points * 39 lecture hours, 13 tutorial hours * Second semester * Caulfield * Prerequisites: MAC1901
Objectives Mastery of mathematical concepts and methods pertaining to numerical integration, applications of integration, differential equations, vectors, partial differentiation, series, matrices and linear algebra and their application to engineering problems.
Synopsis Application of definite integrals to volumes, arc lengths, surface areas. Numerical integration: trapezium and Simpson's rules. Vector algebra and vector calculus. Partial differentiation and applications to small increments and errors, maxima and minima, least squares curve fitting. Matrices and determinants: matrix algebra, sets of simultaneous equations, linear transformations, eigenvalues and eigenvectors. Maclaurin series. Series: convergence, power series and applications. First-order differential equations by integrating factor and by separation of variables, applications. Second-order differential equations: solution of homogeneous and non-homogeneous linear equations with constant coefficients, applications.
Assessment Examination (3 hours): 70% * Test: 10% * Assignment: 10% * Tutorial mark: 10%
Prescribed texts
Department of Mathematics MAC1912 problem sets Monash U, 1997
Recommended texts
James G Modern engineering mathematics Addison-Wesley, 1992
Stroud K A Engineering mathematics: Programmes and problems 4th edn, Macmillan, 1995
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