units

MTH1030

Faculty of Science

18 September 2017 22 November 2024
Monash University

Undergraduate - Unit

This unit entry is for students who completed this unit in 2012 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

print version

6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSL

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

LevelUndergraduate
FacultyFaculty of Science
OfferedClayton First semester 2012 (Day)
Clayton Second semester 2012 (Day)
Gippsland Second semester 2012 (Day)
Gippsland Second semester 2012 (Off-campus)
Coordinator(s)Semester One - Dr Leo Brewin; Semester Two - Mr Simon Teague (Clayton), Dr John Arkinstall (Gippsland)

Synopsis

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.

Outcomes

On completion of this unit, students will:

  1. understand the key steps of the scientific method and how these are applied to modelling of simple physical phenomena;
  2. have developed skills in solving systems of linear equations;
  3. have developed skills in integral calculus;
  4. have developed skills in manipulating matrices and determinants;
  5. have developed skills in finding eigenvalues and eigenvectors of a square matrix;
  6. have developed skills in solving the differential equations that arise from simple models of population growth and oscillations;
  7. be able to use vectors to represent lines and planes;
  8. be able to prepare and write a scientific report which includes presentation of results from simple numerical models and the use of Excel to perform calculations;
  9. understand the use of Taylor series in approximating functions; and
  10. be able to use the remainder term in Taylor series to estimate the error term in truncating a series.

Assessment

Examination (3 hours) 60%
Reports, assignments and tests: 40%
Students must pass the examination to be awarded a pass grade.

Chief examiner(s)

Dr Leo Brewin (First semester)
Mr Simon Teague (Second semester)

Contact hours

Three 1-hour lectures and one 2-hour computer laboratory per week

Prerequisites

MTH1020 or VCE Specialist Mathematics units 3 and 4 (with an average grade of B or above in the written examination components)

Prohibitions

MTH1035, MTH1085