Introduction to University Mathematics
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- 10 Jul 2023
Australia’s fourth oldest university, the University of Tasmania, is highly regarded internationally for teaching and academic excellence. The university offers more than 100 undergraduate degrees and more than 50 postgraduate programs across a range of disciplines. The university offers students a diverse range of opportunities, the chance to learn from leading experts, and excellent preparation for their future careers.
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Upon completion of this subject, the student should be able to:
- Use mathematical terminology and notation to convey information related to elementary algebra, functions, graphs and calculus.
- Evaluate expressions and solve equations which contain linear, rational, quadratic, power, exponential, logarithmic or trigonometric expressions.
- Apply the product, quotient and chain rules of differentiation and anti-differentiation rules of integration to functions.
- Plot functions using algebra and calculus techniques to determine the x and y intercepts, and stationary points on the graph of a function.
- Apply algebra properties, function transformations and calculus techniques to interpret and solve simple real-world mathematical problems.
- Refer to Mylo for study topics
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Mathematics, equipped with the powerful tools logic and reasoning, is the key ingredient that enriches all areas of education. A sound knowledge in mathematics not only opens up numerous career options, but also helps to understand the world in which one operates. The subject aims to provide the necessary introductory knowledge that is essential to undertake university studies in mathematics, which require pre-tertiary mathematics background. Students will learn basic concepts of number and algebra, leading to the study of functions in general and the study of special functions such as trigonometric, exponential and logarithmic functions. The concept of the derivative of a function will be discussed from first principles and applied to a range of real-world problems, emphasising the importance of understanding the material conceptually and graphically. Graph sketching and optimisation problems will demonstrate simple applications of the derivative. Students will learn skills of integral calculus, with applications to finding areas under curves.
Students who successfully complete Introduction to University Mathematics will qualify for entry into subjects or degree programs at the University of Tasmania which have pre-tertiary Mathematics Methods 4 MTM514117 or equivalent as a prerequisite, including first year subject Mathematics 1B (TAS-KMA154). The subject may be taken as an elective to support other majors in the BSc or any other degree.
- Mid-semester Hurdle Test (10%)
- Examination (40%)
- Assignment (50%)
For textbook details check your university's handbook, website or learning management system (LMS).