Calculus and Matrix Algebra

• • 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

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

MUR-MAS120-Applied Mathematics, or MON-MAT14 ;

Others

Or equivalent of advanced high school calculus.

Special requirements

No special requirements

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.

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%)

Current study term: 29 Aug 21 to 28 Nov 21

Next study term: 28 Nov 21 to 27 Feb 22