| Semester 2, 2022 Toowoomba 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 science and other disciplines require mathematical skills in a wide range of areas, and experience in applying these skills to problem solving in a range of contexts. Assuming that students have basic competencies, this course further explores and develops skills relating to a range of mathematical concepts that are needed in tertiary programs in science. It establishes strong mathematical foundations for computation and modelling. Mathematical applications are explored within a range of contexts.
Assuming current skills at the level of Queensland Senior Secondary School Studies Mathematics B, this course strengthens and further develops algebra, functions, trigonometric, exponential, logarithmic and graphing competencies, and introduces matrices, vectors and calculus. Emphasis is placed on developing strong foundation mathematical skills in these areas for use in tertiary studies, and on exploring and applying these skills to a range of contexts.
Course learning outcomes
On completion of this course students will be able to:
- Develop and apply recognised processes to solve mathematical problems essential for tertiary studies in science, engineering, surveying and business;
- interpret and solve a range of authentic problems involving mathematical concepts relevant to this course;
- effectively communicate the mathematical concepts and arguments contained in this course using appropriate mathematical notation.
Topics
| Description | Weighting(%) | |
|---|---|---|
| 1. | Mathematical writing, communication, and study. | 10.00 |
| 2. | Number calculation, scientific notation and rounding. Basic 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. | 30.00 |
| 3. | Trigonometric functions and identities, inverse trigonometric functions, and their applications to engineering contexts; | 20.00 |
| 4. | Vectors, scalars, and scalar product, basic concepts, and applications. | 10.00 |
| 5. | Matrices, matrix multiplication, the inverse and determinant of a 2x2 matrix, and applications. | 10.00 |
| 6. | Calculus: the concept of gradient and differentiation, differentiation of simple functions, optimization; and applications to engineering and science. | 20.00 |
Text and materials required to be purchased or accessed
(Available on the 精东传媒appDesk in Electronic Form or can be printed on request by the USQ Bookshop.)
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 |
|---|---|---|---|
| Quiz | No | 10 | 1 |
| Problem Solving 1 | No | 30 | 1,2,3 |
| Problem Solving 2 | No | 30 | 1,2,3 |
| Problem Solving 3 | No | 30 | 1,2,3 |