This unit of study aims to provide a basic understanding of single variable calculus and its engineering applications. During classes students are encouraged to work in groups to apply techniques to the solution of mathematical exercises and basic engineering problems.
The unit begins with a consolidation of the student's knowledge of basic algebra including the solution of linear, polynomial, exponential and logarithmic equations. Calculus topics include limits, differentiation, integration, integration techniques, definite integral and the fundamental theorem of calculus. Applications of calculus include optimisation problems, related rates, area and volumes between curves; and separable first order differential equations. 

Unit details

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Unit code:

Learning Outcomes

On successful completion of this unit, students will be able to:
  1. Solve and graph variety of mathematical functions.  
  2. Perform basic differentiation and integration.  
  3. Apply calculus techniques to engineering-related problems.  


Assessment type Description Grade
Assignment Two sets of engineering related problems 20%
Test Three in-class tests/quizzes 45%
Test Final Test 35%

Required reading

There are no required textbooks for this unit. All notes, tutorials and any additional materials will be provided via the Learning Management System (VU Collaborate). The following texts are recommended only:

The Calculus Lifesaver 1st ed
Adrian Banner (2017)
Princeton University Press

Calculus Volume 1
OpenStax (2018)
OpenStax CNX

Textbook content produced by OpenStax is published under Creative Commons Attribution Licence 4.0 (CC BY-NC-SA) . Available as a pdf download from

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