| Semester 2, 2023 Online | |
| Units : | 1 |
| School or Department : | School of Mathematics, Physics & Computing |
| Grading basis : | Graded |
| Course fee schedule : | /current-students/administration/fees/fee-schedules |
Staffing
Course Coordinator:
Requisites
Enrolment is not permitted in MAT1100 if ENM1500 or MAT2100 or MAT1102 or ENM1600 or ENM2600 has been previously completed
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 Year 11 Mathematics B (or Mathematical Methods or equivalent), 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.
Students without this level should take MAT1000 prior to doing this course. Students contemplating enrolment in MAT1100 who are not familiar with the content of at least Queensland Year 11 Maths B or Queensland Year 11 Mathematical Methods, or Queensland Year 12 General Mathematics or their equivalents (e.g., TPP7182 Mathematics Tertiary Preparation 2) should contact the examiner before enrolling. In your e-mail, please state your course of study and your mathematics background.
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 UniSQ 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 |