Essential Mathematics 2: Calculus
UndergraduateUSA-MATH10772025
Combine algebra, geometry, and limits to solve maths problems dealing with changes and rates of change. By studying calculus, you’ll unlock powerful tools for use in physics, engineering, and economics. Covers differential and integral calculus.
Enrol today with instant approval and no entry requirements
- Study method
- 100% online
- Assessments
- Subject may require attendance
- Enrol by
- 14 Sept 2025
- Entry requirements
- No ATAR needed, No prior study
- Duration
- 10 weeks
- Start dates
- 7 Apr 2025,
- 22 Sept 2025
- Price from
- $2,300
- Upfront cost
- $0
- Loan available
- FEE-HELP available
Essential Mathematics 2: Calculus
About this subject
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
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 up-skill 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.
This is a course from UniSA Online’s Associate Degree in Engineering. When studying this course as a "single subject", prior knowledge from MATH 1076 or equivalent will support your success.
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.
Should your course have an exam it will be scheduled for Australian Central Standard Time or Australian Central Daylight Time, depending on the time of the year.
- Problem solving exercise, Test/Quiz (50%)
- RPNOW Exam (Online) (50%)
For textbook details check your university's handbook, website or learning management system (LMS).
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Entry requirements
No entry requirements
Additional requirements
- Other requirements - Students must be aged 17 or older by the time teaching commences for their course of study, in accordance with UniSA’s Selection and entry to programs policy.
Study load
- 0.125 EFTSL
- This is in the range of 10 to 12 hours of study each week.
Equivalent full time study load (EFTSL) is one way to calculate your study load. One (1.0) EFTSL is equivalent to a full-time study load for one year.
Find out more information on Commonwealth Loans to understand what this means to your eligibility for financial support.
Student feedback
6 student respondents between 4 June - 6 Dec 2024.
100%of students felt the study load was manageable
100%of students felt this subject helped them gain relevant skills
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