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February 2012
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Mathematics IIM

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Description

This course extends the concepts and techniques of calculus and linear algebra which were introduced in Mathematics IA and Mathematics IMA, emphasising their inter-relationships and applications to the sciences and financial areas and continues to develop problem solving skills in mathematics.


Objective

To extend the concepts and techniques of calculus and linear algebra which were introduced in Mathematics IM. This subject, emphasising their inter-relationships and applications to the sciences and financial areas and continues to develop student's problem solving skills in mathematics.


Content

Topics covered are: Calculus: Applications of the derivative; functions of two variables; Taylor series; differential equations, techniques of integration. 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
Stuart Johnson
Lecturer for this course

Delivery

65 hours lectures, tutorials and computer practicals


Assessment

3 hour exam, small percentage for assignments, tests


Graduate attributes


Linkage past

Prerequisite is a Pass in Maths IA.


Linkage present

This course continues to lay the foundations for all studies in mathematics, engineering, computer science, statistics, the physical sciences and finance.


Linkage future

This course or the alternative MATHS 1011 Mathematics IA and MATHS 1012 Mathematics IB, is a prerequisite for all Level II mathematics, statistics and physics subjects.


Restrictions

Cannot be counted with 1012 Mathematics IB.


Recommended text

Calculus 5th Ed, Stewart, J. (Brooks Cole), OR Calculus: Single and Multivariable 3rd or 4th Ed, Hughes-Halett et al (John Wiley) AND Linear Algebra and its Applications 3rd Ed Lay, D. (Addison Wesley Longman), OR Elementary Linear Algebra Applications 8th Ed, Anton, H. & Rorres, C. (John Wiley 1994).