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February 2012
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Mathematics IB

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Description

This course, together with MATHS 1011 Mathematics IA, provides an introduction to the basic concepts and techniques of calculus and linear algebra, emphasising their inter-relationships and applications to engineering, the sciences and financial areas; introduces students to the use of computers in mathematics; and develops problem solving skills with both theoretical and practical problems.


Objective

To provide an introduction to the basic concepts and techniques of calculus and linear algebra, emphasising their inter-relationships and applications to engineering, the sciences and financial areas; to introduce students to the use of computers in mathematics; and to develop problem solving skills with both theoretical and practical problems.


Content

Topics covered are: Calculus: Applications of the derivative; functions of two variables; Taylor series; differential equations. Algebra: The real vector space, eigenvalues and eigenvectors, linear transformations and applications of linear algebra.

 
Year Semester Level Units
2012 S,1,2 1 3
Adrian Koerber
Lecturer for this course

Delivery

65 hours lectures, tutorials, and computer practicals


Assessment

Ongoing assessment 30%, exam 70%.


Graduate attributes


Linkage past

Prerequisite a Division 1 Pass in Mathematics IA.


Linkage present

This subject lays the foundations for all studies in mathematics, engineering, computer science, statistics, the physical sciences and finance; and is useful for students in bioligical sciences, economics and social sciences.


Linkage future

This subject, (or the alternative Mathematics IA plus Mathematics IIM) is a prerequisite for all Level II mathematics, statistics and physics subjects.


Restrictions

None.


Recommended text

Calculus, 5th Ed, Stewart, (Brooks/Cole). Linear Algebra and its Applications 3rd Ed, Lay. (Addison Wesley Longman)