Undergraduate MUR-MAS130-2022

Calculus and Matrix Algebra

Compound your calculus and matrix algebra skills across the mathematical spectrum. Examine physical, environmental, biological and engineering systems. Study complex numbers through to vectors and multivariable calculus. Solve complex equations.

From

$1,005 $1,255

Your upfront cost: $0

International student?

Duration

13 weeks

Study method

100% Online

Available loans

HECS-HELP
FEE-HELP

Assessments

100% online

Prior study

Required

Start dates

29 Aug 2022
28 Nov 2022

This research-based university in Perth has a strong interdisciplinary focus and a reputation for outstanding teaching and ground-breaking research. With more than 22,000 students and 2,000 staff from over 90 countries, and campuses in Dubai and Singapore, Murdoch embraces free thinking, shared ideas and knowledge to make a difference, and Open Universities Australia is certainly part of that.

QS RANKING 2022

Times Higher Education Ranking 2022

2022

Subject details

What you'll learn

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

be familiar with a number of new ideas and techniques from calculus and linear algebra, and be aware of their application to solve a variety of real world problems
appreciate the role that computers can play in problem solving (including being aware of their weaknesses), and be able to use a package such as MATLAB or Scientific Notebook to carry out routine calculations
present coherent written reports – both on your solutions to routine and practical problems, and when asked, to give an explanation or justification for certain mathematical claims
draw analogies between seemingly different concepts defined in different contexts
cope with a higher level of abstraction so that more complicated applied problems can be solved, and similarities can be drawn between different problems

Topics covered

- Functions and differentiation revision
- Integration by parts, substitution and trigonometric substitution
- 1st-order differential equations and applications
- Complex numbers
- 2nd-order differential equations
- Infinite sequences and series
- Vectors and geometry in space
- Linear algebra for calculus
- Functions of several variables and partial derivatives

Entry requirements

You must have successfully completed the following subject(s) before starting this subject:

one of

MUR-MAS120-Applied Mathematics
MON-MAT14 (Not currently available)

Others

Or equivalent of advanced high school calculus.

Additional requirements

No additional requirements

Description

Calculus and matrix algebra form the basis of the mathematical knowledge required to model physical, environmental, biological and engineering systems and investigate their behaviour. This subject assumes an understanding of the basic topics and develops them further. Vector and matrix operations, determinants, inverses and eigenvalues will be considered along with differentiation, integration, sequences and series, differential equations, and introductory multivariable calculus. Applications will be considered, with computer algebra packages used to reduce tedious calculations and present results.

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.

Assessments

Your ability to solve relevant mathematical problems will be assessed at regular intervals during the semester via assignments. This assessment is designed to allow you to demonstrate your ability in each of the content areas of the unit and to give you regular feedback on your progress, helping you to identify your areas of strength or weakness during the semester. Assignment solutions and results will be posted progressively on the LMS.

Assignments x 5 (30%)
Timed Online Exam (70%)

Textbooks

Current study term: 28 Nov 21 to 27 Feb 22

Textbooks are not required.

Next study term: 28 Aug 22 to 27 Nov 22

Check the learning management system (LMS) of your university for textbook details.