P Norton (Caulfield and Clayton) and A Carr (Gippsland)
4 points · 39 lectures and 12 tutorial/laboratory hours · First/second semester, Caulfield, Clayton · Second semester, Gippsland · First/second semester, Distance · Prerequisites: VCE Specialist Mathematics 3/4 or ENG1901 · Prohibited combinations: MAC1912, MAT1910, MAT1920, GAS1642
Objectives The student is expected to consolidate and expand her/his knowledge and skills in calculus and algebra, study advanced differential calculus, and investigate applications particularly for use in other engineering subjects, and establish the groundwork for further studies in engineering mathematics.
Synopsis Fundamentals of matrix operations and properties, linear transformations and determinants. Limits, continuity and differentiability. Partial differentiation and geometric applications. Solution of second order linear ordinary differential equations with constant coefficients. Hyperbolic functions. Functions from algebraic, graphic and numeric perspectives. Numerical integration. Further methods and applications of integration. Improper integrals. Sequences and series. Use of computer algebra systems.
Assessment Examination (3 hours): 70% · Assignments and tests: 30%
Recommended texts
Stewart J Calculus 3rd edn, Brooks-Cole, 1995 which is
packaged together with Heuvers K and others Linear algebra for calculus
Brooks-Cole, 1991
James G Modern engineering mathematics 2nd edn, Addison-Wesley, 1996
Osterbee A and Zorn P Calculus Saunders, 1997