Mathematics 1
G Coldicutt
4 points * 39 lecture hours, 13 tutorial hours * First semester * Caulfield
Objectives Ability to perform a variety of operations in differential and integral calculus and complex and vector algebra and apply these operations to appropriate engineering problems.
Synopsis Revision including differentiation and integration. Exponential, logarithmic, circular and periodic functions including piecewise periodic functions. Application of differential calculus to kinematics. Implicit and logarithmic differentiation. Introductory vector algebra. Complex algebra including polar form, de Moivre'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 Examination (3 hours): 70% * Test: 20% * Assignment: 10%
Prescribed texts
Department of Mathematics MAC1901 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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