Essential Mathematics

MTH10010 12.5 Credit Points Hawthorn Available to incoming Study Abroad and Exchange students


  • One Semester or equivalent

Contact hours

  • 60 hours face to face + blended

On-campus unit delivery combines face-to-face and digital learning.

2023 teaching periods


Higher Ed. Semester 2

31 Jul 23 - 29 Oct 23

5 Dec 23

Last self enrolment:
13 Aug 23

31 Aug 23

Last withdraw without fail:
15 Sep 23


Admission into a Bachelor of Engineering (Honours), Bachelor of Aviation or Bachelor of Science course.

Aims and objectives

This unit of study aims to provide students with the mathematical knowledge and skills to support their concurrent and subsequent studies, providing a thorough grounding in mathematics.

Unit Learning Outcomes ULO)
On successful completion of this unit students will be able to: 
1. Identify and apply standard approaches to solve mathematical systems and models 
2. Recognise and compose algebraic and geometric forms of functions, and convert between these forms 
3. Describe the relationship between real life phenomena and functions that model it, the appropriateness of these models, and associated errors 
4. Follow the principles of unbiased sampling, represent data using descriptive statistics and graphical approaches, using the normal distribution to produce interval estimates of parameters 
5. Interpret relationships between variables using correlation, regression and techniques of statistical inference, using key terms appropriately 
6. Use tables of derivatives and integrals for simple functions and identify and use appropriate techniques to differentiate and integrate more complicated functions, including ordinary differential equations 
7. Apply the rules of differentiation and integration to calculate linear approximations of functions, classify stationary points, and compute areas