Mathematics 2
D Bull
4 points * 39 lecture hours, 13 tutorial hours * Second semester * Caulfield * Prerequisites: MAC1901
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
Examinations (3 hours): 70% * Tests: 20% * Assignments: 10%
Prescribed texts
Department of Mathematics MAC1912 problem sets Monash U, 1994
Recommended texts
James G Modern engineering mathematics Addison-Wesley
Stroud K A Engineering mathematics: Programmes and problems 3rd edn, Macmillan, 1987