 The current and official versions of the course specifications are available on the web at https://www.usq.edu.au/course/specification/current.
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# ENM1600 Engineering Mathematics

 Semester 2, 2022 Online Units : 1 Faculty or Section : Faculty of Health, Engineering and Sciences School or Department : School of Mathematics, Physics & Computing Grading basis : Graded Course fee schedule : https://www.unisq.edu.au/current-students/administration/fees/fee-schedules

## Staffing

Examiner: Trevor Langlands

## Overview

Students entering tertiary studies in engineering and surveying require mathematical skills in a wide range of areas and experience in applying these skills to problem solving in engineering contexts. In particular, the techniques of calculus, matrices, and vectors are fundamental for modelling and analysis in a wide range of applications. This course further develops the skills and understanding of the mathematical concepts which underpin the investigative tools used in engineering and surveying. This course provides opportunity for students to extend their mastery of these topics and explore applications in engineering and surveying.

This course builds on the Queensland Mathematics B content and further develops algebra, function, trigonometric, exponential, logarithm and graphing competencies, and introduces matrices, vectors and calculus. Emphasis is placed on developing strong skills in these areas within an engineering context and on exploring and applying these skills to a range of engineering and surveying applications.

## Course learning outcomes

On completion of this course students will be able to:

1. examine and apply mathematical techniques and skills to solve problems essential to further study in engineering and surveying
2. interpret and solve a range of authentic engineering problems involving mathematical concepts relevant to this course
3. effectively communicate mathematical concepts and arguments using appropriate notation
4. use computational aids for graphing, matrix manipulation, concept development and problem solving in algebra and calculus within engineering and surveying contexts.

## Topics

Description Weighting(%)
1. Number calculation, scientific notation and rounding. Geometry, Algebra, including factorizing, solving equations and inequalities. Function concepts, linear, quadratic, polynomial and rational functions, exponential and logarithmic functions and their graphs. Inverses, compositions and asymptotes, and applications to engineering contexts. 10.00
2. Trigonometric functions and identities, inverse trigonometric functions, and their applications to engineering contexts. 20.00
3. Vectors algebra and cross product, application to describe lines and planes in space. 25.00
4. Matrix algebra; inverse and determinants; application to solving linear equations in engineering. 20.00
5. Calculus: the concept of gradient and differentiation, differentiation of functions, optimization; higher derivatives and engineering applications; definite and indefinite integrals; integration techniques and application of calculus to engineering and surveying problems. 25.00

## Text and materials required to be purchased or accessed

Glyn James 2019, Modern Engineering Mathematics, 6th edn, Prentice Hall, Harlow.
Study Book (current year), Course ENM1600 Engineering Mathematics, USQ Distance Education Centre, Toowoomba.
(Available on course StudyDesk.)
Scientific calculator (non-graphical and non-programmable) having options for calculation of simple elementary functions: sinx, cosx, ex, lnx, etc. The typical model example is the calculator CASIO fx-100AU.