Linear Algebra
Subject MAST10007 (2014)
Note: This is an archived Handbook entry from 2014.
Credit Points:  12.50 

Level:  1 (Undergraduate) 
Dates & Locations:  This subject is not offered in 2014. 
Time Commitment:  Contact Hours: Summer Semester: 6 x one hour lectures per week, 2 x one hour practice classes per week, 2 x one hour computer laboratory classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week, 1 x one hour computer laboratory class per week Total Time Commitment: Estimated total time commitment of 120 hours 
Prerequisites:  A study score of at least 27 in VCE Specialist Mathematics 3/4, or equivalent, or one of Subject Study Period Commencement: Credit Points: 
Corequisites:  None 
Recommended Background Knowledge:  None 
Non Allowed Subjects:  Students may only gain credit for one of Subject
Bachelor of Science students are permitted to complete a maximum of three level1 Mathematics and Statistics subjects. They are not permitted to complete all four of MAST10005, MAST10006, MAST10007 and MAST10010. 
Core Participation Requirements: 
For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements of this entry. 
Subject Overview: 
This subject gives a solid grounding in key areas of modern mathematics needed in science and technology. It develops the concepts of vectors, matrices and the methods of linear algebra. Students should develop the ability to use the methods of linear algebra and gain an appreciation of mathematical proof. Little of the material here has been seen at school and the level of understanding required represents an advance on previous studies. Systems of linear equations, matrices and determinants; vectors in real nspace, cross product, scalar triple product, lines and planes; vector spaces, linear independence, basis, dimension; linear transformations, eigenvalues, eigenvectors; inner products, least squares estimation, symmetric and orthogonal matrices. 

Learning Outcomes: 
Students completing this subject should:

Assessment: 
Summer semester: Five assignments, either written or online, due at weekly intervals during semester amounting to a total of up to 25 pages (10%), one 45minute written computer laboratory test held at the end of semester (10%), and a 3hour written examination in the examination period (80%). Semester 1 and 2: Ten assignments, either written or online, due at weekly intervals during semester amounting to a total of up to 25 pages (10%), one 45minute written computer laboratory test held at the end of semester (10%), and a 3hour written examination in the examination period (80%). 
Prescribed Texts:  None. 
Recommended Texts:  Elementary Linear Algebra Applications Version (H. Anton and C. Rorres), 10th edn, Wiley, 2010. 
Breadth Options:  This subject potentially can be taken as a breadth subject component for the following courses: You should visit learn more about breadth subjects and read the breadth requirements for your degree, and should discuss your choice with your student adviser, before deciding on your subjects. 
Fees Information:  Subject EFTSL, Level, Discipline & Census Date 
Generic Skills: 
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:

Notes: 
This subject is available for science credit to students enrolled in the BSc (both pre2008 and new degrees), BASc or a combined BSc course. Students with a score of 40 or more in VCE Specialist Mathematics 3/4 are strongly encouraged to enrol in both
instead of both
Students with a study score of 29 in VCE Specialist Mathematics 3/4 or equivalent, are eligible to enrol in MAST10005 Calculus 1, MAST10006 Calculus 2 or MAST10007 Linear Algebra. Such students should seek course advice before completing their enrolment. Students require access to a computer with the software package MATLAB installed. This package is currently available in every openaccess campus laboratory.

Related Course(s): 
Bachelor of Biomedicine 
Related Majors/Minors/Specialisations: 
BENG Chemical Engineering stream BENG Chemical and Biomolecular Engineering stream BENG Civil Engineering stream BENG Electrical Engineering stream BENG Mechanical Engineering stream BENG Software Engineering stream Civil (Engineering) Systems major Environmental Engineering Systems major Environments Discipline subjects Geomatics (Geomatic Engineering) major Science credit subjects* for pre2008 BSc, BASc and combined degree science courses Sciencecredited subjects  new generation BSCI and BENG. Selective subjects for BBMED 
Related Breadth Track(s): 
Electrical Engineering Mathematics and Statistics Mathematics for Economics Mechanical Engineering 
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