Introductory Calculus with Applications
UndergraduateMUR-MAS1822025
Previously MUR-MAS120
Course information for 2025 intake View information for 2024 course intake
Learn how to use maths methods to solve problems in science and technology. Topics include the derivative, complex numbers, and the trigonometric functions. Gain confidence applying maths to engineering, science and economics.
- Study method
- 100% online
- Assessments
- 100% online
- Enrol by
- 25 May 2025
- Entry requirements
- Prior study needed
- Duration
- 13 weeks
- Price from
- $1,165
- Upfront cost
- $0
- Loan available
- HECS-HELP and FEE-HELP available
Introductory Calculus with Applications
About this subject
At the completion of this subject students will be able to:
- Use the basic ideas, rules and techniques of differentiation and integration.
- Analyse problems and use a range of calculus techniques to solve them.
- Apply differential equations to mathematical models of physical and biological phenomena.
- Use simple differential equations to describe growth and decay and to solve problems.
- Use trigonometric functions in various applications.
- Express complex numbers in Cartesian and polar form. Do basic algebra of complex numbers.
- Present coherent written solutions to various problems related to the material in the unit.
- Algebra reference
- Linear functions
- Nonlinear functions
- The derivative
- Calculating the derivative
- Graphs and the derivative
- Applications of the derivative
- Exponential and logarithmic functions
- Integration
- Further techniques and applications of integration
- Differential equations
- The Trigonometric functions
- Complex numbers
This subject was previously known as Applied Mathematics.
This subject provides an introduction to differential and integral calculus, and basic ordinary differential equations. The concepts and techniques will be motivated and illustrated using mathematical models in engineering, the physical and biological sciences, commerce, economics, and the social sciences. Other topics include complex numbers and their applications.
You are strongly advised NOT to enrol in MAS182 and MAS164 at the same time. In order to successfully complete MAS182, you will require the knowledge gained from the successful completion of MAS164.
Murdoch University advises that students who do not successfully complete MAS164 before attempting MAS182 usually fail MAS182.
Students who did not study mathematics at school, did not receive good marks, or have not studied mathematics in a long time should enrol in MAS164 before attempting MAS182.
All enrolled students may access Murdoch's Maths Refresher Program. You are advised to review the worksheets in this program before beginning MAS182.
Please Note: If you have not completed MAS164 but can show that you have a good background in the subject, you can apply to have this requirement waived via a Unit Validation Request. https://askmurdoch.custhelp.com/app/askmurdoch/answers/detail/a_id/3276
Some equivalent pre-requisites to MAS164 are: Year 11 Introduction to Calculus, along with a final scaled score of 55% or more in TEE Applicable Mathematics, OR a final scaled score of 55% or more in ATAR Mathematics Methods or WACE Mathematics (3C/3D).
Please Note:All students studying at Murdoch University will need to complete the compulsory unit, Murdoch Academic Passport (MAP100), which only takes 2-3 hours to complete online. Find out more: http://goto.murdoch.edu.au/MurdochAcademicPassport.
The assessment consists of regular assignments and a final examination. All forms of assessment are based on examples covered in the unit notes, lectures and the textbook. Students get feedback on their submitted assignment work during the teaching period. Students are also able to get help and feedback outside of the assessments from tutors during the teaching period.
- Assignments x 4 (40%)
- Timed Online Exam (50%)
- Mid-semester test (10%)
For textbook details check your university's handbook, website or learning management system (LMS).
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Entry requirements
Prior study
You must have successfully completed the following subject(s) before starting this subject:
Equivalent subjects
You should not enrol in this subject if you have successfully completed any of the following subject(s) because they are considered academically equivalent:
MUR-MAS120 (Not currently available)
Others
If you have not completed MAS164 but can show that you have a good background in the subject, you can apply to have this requirement waived via a Unit Validation Request (See link in Description).
Some equivalent pre-requisites to MAS164 are: Year 11 Introduction to Calculus, along with a final scaled score of 55% or more in TEE Applicable Mathematics, OR a final scaled score of 55% or more in ATAR Mathematics Methods or WACE Mathematics (3C/3D).You are strongly advised NOT to enrol in MAS182 & MAS164 at the same time. In order to successfully complete MAS182, you will require the knowledge gained from the successful completion of MAS164.
Murdoch University advises that students who do not successfully complete MAS164 before attempting MAS182 will usually fail MAS182.
Students who did not study mathematics in Year 11 and 12, did not receive good marks, or have not studied mathematics in a long time should enrol in MAS164 before attempting MAS182.
Some equivalent pre-requisites to MAS164 are:
Year 11 Introduction to Calculus, along with a final scaled score of 55% or more in TEE Applicable Mathematics, OR
a final scaled score of 55% or more in ATAR Mathematics Methods or WACE Mathematics (3C/3D).
Additional requirements
No additional requirements
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.
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