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ENM1500 Introductory Engineering Mathematics

Semester 1, 2022 Springfield On-campus
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 : /current-students/administration/fees/fee-schedules

Staffing

Examiner:

Overview

Students entering tertiary studies in engineering and surveying require expertise in mathematics and problem solving. This course will provide students with basic mathematical competencies for tertiary studies in engineering and surveying.

This course integrates mathematical concepts to provide students with an introduction to the mathematical fundamentals required for engineering and surveying. Topics included are: basic algebra, functions and graphing, exponential, logarithmic and trigonometric functions, geometry, vectors in two dimensional space, matrices and an introduction to differentiation and integration.

Course learning outcomes

On completion of this course students will be able to:

  1. Develop and apply recognised processes to examine mathematical problems essential to further study in engineering and surveying.
  2. Interpret and solve a range of authentic simple engineering problems involving mathematical concepts relevant to this course.
  3. Effectively communicate mathematical concepts and express mathematical solutions to problems in a variety of forms.

Topics

Description Weighting(%)
1. Algebra - algebraic indices and fractions, solving linear and quadratic equations, factorisation, simultaneous equations 10.00
2. Relations and Functions - analytical geometry, definition of functions and relations, graphs of straight lines, parabolas, graphical solution of equations 5.00
3. Trigonometry - trigonometric ratios and basic identities, solution of triangles, trigonometric functions and graphs, solution of trigonometric equations. 15.00
4. Vectors – Cartesian coordinates (in 2D) , scalars and vectors, addition of vectors and scalar product 15.00
5. Matrix algebra – definition and notation, matrix form of linear sets of algebraic equations; basic operations, matrix multiplication, the inverse matrix, matrix solution of sets of algebraic equations (limited to the manual solution of small systems (2x2) and exposure to software solutions (e.g. EXCEL) for solving 3x3 or larger systems). 15.00
6. Geometry – areas and volumes of simple shapes, application of formula to solve area and volumes of complex shapes 10.00
7. Calculus – Introduction to differentiation and integration 20.00
8. Exponential and Logarithmic Functions - exponential and logarithmic functions and graphs, solution of exponential and logarithmic equations 10.00

Text and materials required to be purchased or accessed

Allyn J. Washington & Michelle Boué 2019, Basic Technical Mathematics with Calculus: SI Version, 11th edn, Pearson.
¾«¶«´«Ã½app Book (current year), Course ENM1500 Introductory Engineering Mathematics, USQ Distance Education Centre, Toowoomba.
(Available on course ¾«¶«´«Ã½appDesk.)
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.

Student workload expectations

To do well in this subject, students are expected to commit approximately 10 hours per week including class contact hours, independent study, and all assessment tasks. If you are undertaking additional activities, which may include placements and residential schools, the weekly workload hours may vary.

Assessment details

Approach Type Description Group
Assessment
Weighting (%) Course learning outcomes
Assignments Written Problem Solving 1 No 30 1,2,3
Assignments Written Problem Solving 2 No 30 1,2,3
Assignments Written Quiz No 10 1
Assignments Written Problem Solving 3 No 30 1,2,3
Date printed 10 February 2023