Essential Mathematics 2: Calculus
Your upfront cost: $0
- 20 Sep 2021
The University of South Australia, UniSA, is ranked in the top 10 universities nationally and amongst the very best young universities in the world. They offer over 200 world-class degrees that are informed by industry and delivered with a highly practical approach to teaching and learning. In fact, they are South Australia’s number one university for graduate careers. They are a valuable partner with Open Universities Australia.
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By the end of this 10-week course, you’ll be able to:
- Apply elementary manipulative skills to solve mathematical problems
- Formulate simple applied problems in mathematical language
- Use the principles of elementary differential and integral calculus in the solution of applied problems
- Graphs of equations and functions
- Limits and continuity
- Slope of a line and the derivative
- Properties of derivatives; maximum and minimum problems
- The chain rule; implicit differentiation and the sign of the derivative
- Rectilinear motion; related rates and higher-order derivatives
- Graph sketching and sine and cosine functions
- Graphing sine and cosine & other trigonometric functions
- Antiderivatives and the definite integral
- The fundamental theorem and area and arc length
- The natural logarithm and the exponential function
- L'Hôpital's Rule; Exponential Growth and Decay and Trigonometric Substitutions
No eligibility requirements
No additional requirements
Calculus concerns the rate of change of a function with respect to its variable, which is geometrically represented by the slope of a curvilinear trajectory. All of science and engineering, including economics and finance, use calculus as a main tool. Understanding the technical aspects of today's information technology is not possible without calculus, and calculus has and will continue to have a crucial role in the development of the technologies of the future.
The main devices in calculus are limits of real functions and their properties. The use of limits enables us to understand change simply and precisely. This is how areas of irregular shapes can be computed exactly, and how physical processes involving change can be fully understood.
UniSA Online’s 10-week short courses give you the flexibility to upskill in a certain area, stay current with developments in your field, diversify your knowledge, or even explore a new direction in your career – without having to commit to the time and cost of a full university degree.
Delivered 100% online, you’ll be able to study where and when it suits you. Access online academic and student support seven days a week, fit study around work and life commitments, view learning resources 24/7, and log in to the interactive online environment anywhere, any time and on any device.
This is a course from UniSA Online’s Associate Degree in Engineering.
Current study term: 19 Sep 21 to 26 Nov 21
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