| 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:
- Develop and apply recognised processes to examine mathematical problems essential to further study in engineering and surveying.
- Interpret and solve a range of authentic simple engineering problems involving mathematical concepts relevant to this course.
- 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 鈥� Cartesian coordinates (in 2D) , scalars and vectors, addition of vectors and scalar product | 15.00 |
| 5. | Matrix algebra 鈥� 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 鈥� areas and volumes of simple shapes, application of formula to solve area and volumes of complex shapes | 10.00 |
| 7. | Calculus 鈥� 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
(Available on course 精东传媒appDesk.)
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
| Description | Group Assessment |
Weighting (%) | Course learning outcomes |
|---|---|---|---|
| Problem Solving 1 | No | 30 | 1,2,3 |
| Problem Solving 2 | No | 30 | 1,2,3 |
| Quiz | No | 10 | 1 |
| Problem Solving 3 | No | 30 | 1,2,3 |