Essential Mathematics 2: Calculus
Increase your maths skills and tackle problems using calculated and methodical techniques. Interpret mathematical calculus principles. Learn differential ways to express numbers using exponential and logarithmic functions to solve various equations.
Your upfront cost: $0
Subjects may require attendance
- 26 May 2019
- 25 Aug 2019
- 24 Nov 2019
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.
At the completion of this subject students will 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, functions and their graphs
- Limits, continuity
- The slope of a tangent line, the derivative
- More on the derivative, maximum and minimum problems
- The chain rule, implicit differentiation, the sign of the derivative
- Rectilinear motion, related rates, higher-order derivatives
- Graph sketching, sine and cosine functions
- Graphs and derivatives of sine and cosine functions, the tangent and other trigonometric functions
- Antiderivatives, the definite integral
- the Fundamental theorem of calculus, area and arc length
- The natural logarithm, the exponential function
- L' Hopital's rule, exponential growth and decay, trigonometric substitutions
- Audio/Video conferencing
- Discussion forum/Discussion Board
- Embedded Multimedia
- Embedded Multimedia
- Online Quizzes/Tests
- Online assignment submission
- Podcasting/Lecture capture
- Standard Media
- Streaming Multimedia
- Virtual Classroom
- Web links
- Audio-Video streaming
- Online Assessment
- Printable format materials
- Resources and Links
- Online Assessment
You cannot enrol in this subject if you have successfully completed any of the following subject(s) because they are considered academically equivalent:
You must either have successfully completed the following subject(s) before starting this subject, or currently be enrolled in the following subject(s) in a prior study period; or enrol in the following subject(s) to study prior to this subject:
Please note that your enrolment in this subject is conditional on successful completion of these prerequisite subject(s). If you study the prerequisite subject(s) in the study period immediately prior to studying this subject, your result for the prerequisite subject(s) will not be finalised prior to the close of enrolment. In this situation, should you not complete your prerequisite subject(s) successfully you should not continue with your enrolment in this subject. If you are currently enrolled in the prerequisite subject(s) and believe you may not complete these all successfully, it is your responsibility to reschedule your study of this subject to give you time to re-attempt the prerequisite subject(s)
- EquipmentDetails - Audio headset with microphone are required to access weekly consultation and help desk facilities.
- OtherDetails -
Students will require Windows 7 or higher. UniSA does not support Windows XP. To pass this unit a student must achieve 50% in the overall assessment and a minimum of 40% of the available marks in the final examination.
This subject aims to increase confidence and ability in mathematical skills, to provide an introduction to the understanding of mathematical principles of differential and integral calculus and to introduce systematic problem solving techniques. It includes an introduction to exponential and logarithmic functions; differential calculus and integral calculus.
- Assignment 1 (20%)
- Assignment 2 (20%)
- Online quizzes: 2 (10%)
- Invigilated Exam (50%)
Click on the titles of the listed books below to find out more:
Textbook information is pending.
Associate Degree in Engineering
- Restricted - Core Subject Civil Engineering
- Restricted - Major in Civil Engineering
- Restricted - Core Subject in Mechanical Engineering
- Restricted - Major in Mechanical Engineering