MTH1030 - Techniques for modelling - 2017

6 points, SCA Band 2, 0.125 EFTSL

Undergraduate - Unit

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.



Organisational Unit

School of Mathematical Sciences


Associate Professor Burkard Polster

Unit guides



  • First semester 2017 (Day)
  • Second semester 2017 (Day)


Solution of systems of linear equations using Gaussian elimination; matrices, determinants, eigenvalues and eigenvectors; introduction to vectors; methods of integration - substitutions and integration by parts; solution of first-order ordinary differential equations - separable, use of integrating factor; solution of second-order linear ordinary differential equations with constant coefficients and applications; Taylor series and series convergence; the remainder term.


On completion of this unit students will be able to:

  1. Understand the basic concepts of linear algebra, recognise and manipulate elements of vector spaces;
  2. Formulate and solve equations involving vectors and matrices, including for three-dimensional geometry;
  3. Identify and evaluate improper integrals;
  4. Solve simple first and second order differential equations, and formulate them for applications to physical systems;
  5. Compute Taylor series expansions, with remainder, for functions of one variable;
  6. Apply Taylor series and l'Hopital's rule to compute limits;
  7. Understand and compute the convergence properties of infinite series;
  8. Provide written reports that contain complete mathematical arguments.


Examination (2 hours): 60% (Hurdle)

Continuous assessment: 40%

Hurdle requirement: To pass this unit a student must achieve at least 50% overall and at least 40% for the end-of-semester exam.

Workload requirements

Three 1-hour lectures and one 2-hour support class per week

See also Unit timetable information

Chief examiner(s)

This unit applies to the following area(s) of study


MTH1020 or VCE Specialist Mathematics units 3 and 4 with a study score of at least 30


ENG1005, ENG1091, MTH1035