Essential Mathematics 2: Calculus - 2016

Unit summary


  • Level of Study: Undergraduate Level 1
  • Study load: 0.125 EFTSL
  • Delivery method: Fully Online
  • Prerequisites: Yes
  • Duration: 13 weeks
  • Government loans available: FEE-HELP, HECS-HELP
  • Availability for 2016: SP1 , SP2 , SP3 , SP4
  • Availability for 2017: SP1 , SP2 , SP3 , SP4
  • Assessment: Assignment 1 (20%) , Assignment 2 (20%) - Learn more

Unit provided by

2016 Fees
Domestic 1,114.00
HECS 1,114.00
International 1,364.00

This unit 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.

At the completion of this unit students will be able to:

  1. apply elementary manipulative skills to solve mathematical problems
  2. formulate simple applied problems in mathematical language
  3. use the principles of elementary differential and integral calculus in the solution of applied problems.
  • Assignment 1 (20%)
  • Assignment 2 (20%)
  • Invigilated Exam (50%)
  • Quizzes — Online quizzes: 2 (10%)
For more information on invigilated exams see Exams and results

Equivalent units

You cannot enrol in this unit if you have successfully completed any of the following unit(s) because they are considered academically equivalent:

Mandatory conditional prerequisites

You must either have successfully completed the following unit(s) before starting this unit, or currently be enrolled in the following unit(s) in a prior study period; or enrol in the following unit(s) to study prior to this unit:

Please note that your enrolment in this unit is conditional on successful completion of these prerequisite unit(s). If you study the prerequisite unit(s) in the study period immediately prior to studying this unit, your result for the prerequisite unit(s) will not be finalised prior to the close of enrolment. In this situation, should you not complete your prerequisite unit(s) successfully you should not continue with your enrolment in this unit. If you are currently enrolled in the prerequisite unit(s) and believe you may not complete these all successfully, it is your responsibility to reschedule your study of this unit to give you time to re-attempt the prerequisite unit(s).

If you have completed equivalent study at another university, please contact a Student Advisor for advice.

  • Additional materials — Students will require Windows Vista, Windows 7 or higher. UniSA does not support Windows XP.
  • Audio/Visual equipment — Audio headset with microphone are required to access weekly consultation and help desk facilities..
  • Broadband access — Recommended
  • Other special requirement — 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 unit addresses the following topics.

1Graphs of equations, functions and their graphs
2Limits, continuity
3The slope of a tangent line, the derivative
4More on the derivative, maximum and minimum problems
5The chain rule, implicit differentiation, the sign of the derivative
6Rectilinear motion, related rates, higher-order derivatives
7Graph sketching, sine and cosine functions
8Graphs and derivatives of sine and cosine functions, the tangent and other trigonometric functions
9Antiderivatives, the definite integral
10the Fundamental theorem of calculus, area and arc length
11The natural logarithm, the exponential function
12L' Hopital's rule, exponential growth and decay, trigonometric substitutions

This unit is delivered using the following methods and materials:

Instructional Methods

  • Audio/Video conferencing
  • Discussion Forum/Discussion Board
  • Embedded Multimedia
  • Glossary
  • Online Quizzes/Tests
  • Online assignment submission
  • Podcasting/Lecture capture
  • Standard Media
  • Streaming Multimedia
  • Web links
  • Wikis

Print based materials

  • Welcome Letter

Online materials

  • Audio/Video - Streaming
  • Online Assessment
  • Printable format materials
  • Quizzes
  • Resources and Links

This unit is a core requirement in the following courses:

This unit may be eligible for credit towards other courses:

  1. Many undergraduate courses on offer through OUA include 'open elective' where any OUA unit can be credited to the course. You need to check the Award Requirements on the course page for the number of allowed open electives and any level limitations.
  2. In other cases, the content of this unit might be relevant to a course on offer through OUA or elsewhere. In order to receive credit for this unit in the course you will need to supply the provider institution with a copy of the Unit Profile in the approved format, which you can download here. Note that the Unit Profile is set at the start of the year, and if textbooks change this may not match the Co-Op textbook list.

Textbooks are subject to change within the academic year. Students are advised to purchase their books no earlier than one to two months before the start of a unit.

Click on the titles of the listed books below to find out more:

Required textbooks

  • Schaum's Outline Of Beginning Calculus


    ISBN: 9780071635356


    Supplier:Go to The Co-op Bookshop

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