Handbook 1996 : Faculty of Engineering (Volume 4 page 86)
First Year Engineering subject : Next:618-182 | Prev:618-172 | Search | Help

1. First Year Engineering, Faculty of Engineering (v4, p86) : Next:618-182 | Prev:618-172
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618-181 Mathematics 1R

Credit points: 14.2

Coordinator: Dr. I. R. Aitchinson, Ms. C Mangelsdorf.

Contact: 52 hours of lectures (4 a week) and 26 hours of tutorials (2 a week).

Timetable: Semester one

Objectives:

On completion of this subject students should:

Comprehend:

• the manipulation of vectors, matrices, and systems of linear equation
• the concepts of solid geometry
• the properties of basic functions of calculus
• the classification and principles governing the solution of the basic first and second order differential equations
• the range of calculus skills and techniques necessary for the solution of these differential equations, and the solution methods applicable to each type

Have developed:

• the skills required to solve systems of linear equations
• the skills required to differentiate and integrate the basic functions of calculus
• the skills to work with functions of two variables
• the ability to classify and solve the basic differential equations of first and second order, and the integral and differential calculus skills to achieve these solutions with accuracy and confidence

Appreciate:

• the fundamental concepts in linear algebra and calculus necessary for further serious studies in mathematics
• the role of differential equations in applied mathematics

Content:

Vectors and matrices: matrices, row operations, solution of linear equations, inverses; vectors, scalar product, equations of lines and planes. Calculus: functions of one real variable, differentiation and integration, maxima and minima, Taylor series; approximate integration; functions of several variables, contours, partial differentiation. Differential equations: gradient fields, first-order differential equations (linear via integrating factors, separable and homogeneous); linear differential equations with constant coefficients, particular integrals and complementary functions; applications to damped oscillators and resonance.

Assessment:

Up to 35 pages of written assignments, up to four hours of end-of-semester written examination (one hour of which will be a written examination on differential equations) and in addition class tests totalling not more than 1.5 hours.

First Year Engineering subject : Next:618-182 | Prev:618-172 | Search | Help
Handbook 1996 : Faculty of Engineering (Volume 4 page 86)

Status:          Official 1996
Date created:    Oct  9 1995
Last modified:   Oct  9 1995
Authorised by:   Academic Registrar
Email enquiries: Course_Information@registrar.unimelb.edu.au

Copyright © University of Melbourne 1995,1996.