Future Students - Courses

Foundation Mathematics

Unit Code: HMS101

Duration	Contact Hours	Campus	Prerequisite	Corequisite
1 Semester	5 Hours per Week	Hawthorn	Any mathematical subject at VCE level.	Nil

Duration

Contact Hours

Campus

Prerequisite

Corequisite

1 Semester

5 Hours per Week

Hawthorn

Any mathematical subject at VCE level.

Nil

Credit Points: 12.5 Credit Points

Aims & Objectives:

To provide students with mathematical knowledge and skills needed to support their concurrent and subsequent engineering studies.
To provide students with a thorough grounding in mathematics.
To lay a foundation for further studies in engineering mathematics.

Teaching Methods:

Lectures (36 hours), tutorials / seminars (24 hours)

Assessment:

Assignments, Tests and closed book exam

Generic Skills Outcomes:

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

Are capable in their chosen professional areas
Are informed and knowledgeable in the area
Have an appreciation of areas of uncertainty within a body of knowledge
Have pertinent skills and abilities
Understand the relationship between theory and practice
Have the ability to effectively communicate using a range of media and in varied contexts
Have the general capacity for flexibility and curiosity
Have a broad understanding of the role of technology in our society

Content:

Number: calculation, notations, rounding and accuracy, indices, fractions and ratios.

Mensuration and trigonometry: units of measurement, angles, radian and degree measures, classification of triangles, definitions of trigonometric ratios, right-angled triangles, trigonometric functions, inverse trigonometric functions, simple mensuration formulas for areas and volumes.

Algebra: general manipulation, transposition of formulas, solution of simple equations and inequations, simple systems of 2 or 3 equations, arithmetic and geometric progressions.

Functions and Graphs: linear functions, power functions, simple polynomials and rational functions, quadratic polynomials (including completing the square, formula), general polynomials, factors, factor theorem, division, algebraic fractions, rational fractions, trigonometric functions and inverses, exponential and logarithmic functions, interpretation of graphs of functions, function modelling.

Differentiation: ideas and simple rules, product, quotient and chain rules, rates, linear approximations and error analysis, simple one-variable optimization, stationary and inflexion points on a curve, introduction to partial derivatives and many-variable optimization.

Integration: ideas and simple rules, including numerical integration, easy substitutions (e.g. linear), use of short tables of integrals, simple areas and volumes.

Note: A graphics calculator will be used extensively in this unit.

Reading Materials:

Course notes will be available.
Graphics calculator