Essential Mathematics 2: Calculus

• • 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

Special requirements

No special 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.