Mathematics 1
D Bull
4 points * 39 lecture hours, 13 tutorial hours * First semester * Caulfield
Revision including differentiation and integration. Exponential, logarithmic, circular and periodic fluctuations including sinusoidal and piecewise periodic functions. Application of differential calculus to kinematics and coordinate geometry. Implicit and logarithmic differentiation and differentiation of parametric equations. Introductory vector algebra. Complex algebra including polar/form, deMoivre's theorem and Euler's formula. Inverse circular, hyperbolic and inverse hyperbolic functions. Integration using standard tables, identities and systematic methods. Definite integrals. Application to mean and RMS values, areas. Introduction to Derive software package.
Assessment
Examinations (3 hours): 55% * Tests: 35% * Assignments: 10%
Prescribed texts
Department of Mathematics MAC1901 problem sets Monash U, 1994
James G Modern engineering mathematics Addison-Wesley
Stroud K A Engineering mathematics: Programmes and problems 3rd edn, Macmillan, 1987