Future Students - Courses

Engineering Mathematics 1P

Unit Code: HMS111P

Duration	Contact Hours	Campus	Prerequisite	Corequisite
1 Semester	48 hours	Hawthorn	Nil	Nil

Credit Points: 12.5 Credit Points

Related Course/s:

A unit of study in the Bachelor of Engineering (Product Design Engineering).

Aims & Objectives:

To provide students with a thorough grounding in mathematics
To develop students' ability to use mathematics with understanding in engineering situations
To provide students with the mathematical knowledge and skills needed to support their concurrent and subsequent engineering studies
To lay a foundation for further studies in engineering mathematics

Teaching Methods:

Lectures (48 Hours)

Assessment:

6 Fortnightly Assignments (2.5% each), Mid-semester test (20%), Project (15%), Final Examination (50%)

Generic Skills Outcomes:

This unit will contribute to helping students achieve some of the attributes expected of Swinburne graduates as set out in the Higher Education Learning and Teaching Strategic Development Plan. The material chosen for this unit reflects the mathematical and quantitative knowledge and skills expected in your chosen profession, and will be linked as far as possible, through choices of examples and problems, with current professional practice.

The graduate attributes which relate to this unit help to produce students who:

Are capable in their chosen professional areas: Students will attain mathematical and statistical knowledge and skills that will support their professional work. This will include abilities in critical enquiry, an awareness of the relationship between mathematical and statistical theory and practice and an appreciation of the limitations of mathematical and statistical models.
Are adaptable and manage change: Problem-solving and research skills are parts of mathematical and statistical abilities and enable students to investigate problems and issues of their own devising as well as those covered in this unit.
Are aware of environments: Using appropriate technology will be an important part of this subject and will assist students to develop a socially responsible awareness of the role of technology in society. The development of mathematical, statistical and research skills will contribute to students being able to evaluate the impact of their professional decisions that have economic, social or environmental implications.

Content:

Vectors

Vectors. Scalar product and applications. Vector product and applications.

Algebra

Quadratic and cubic equations in one variable: analytical and CAS solutions. Inequalities in one variable: solutions using a number line and CAS. Transformations in formulae and equations.

Functions and Graphs

Review of types of common functions including polynomial functions, rational functions, trigonometric functions hyperbolic functions, inverse functions. Domains, limits and asymptotic behaviour.

Statistics

Graphical and numerical summaries of single variable data. Bivariate data analysis including cross tabulations, correlation and regression models. Residual analysis and transformations.

Differentiation

CAS and derivatives. Applications: rates, approximations including Taylor polynomials. Implicit differentiation. Optimisation. Applications in graphs including stationary points, points of inflexion, and curvature. Indeterminate forms and limits.

Integration

CAS and antiderivatives. Some background of general techniques. Integration. Applications to areas, volumes, centroids, surface areas. Numerical integration. Improper integrals.

Note: A graphics calculator with computer algebra system will be used extensively in this unit.

Reading Materials:

Course notes will be available.
Graphics calculator: TI-89 or equivalent.