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MATH161 - Mathematics 1E, Part 1
Intention
This subject provides the first stage of Mathematics for Engineering--and other interested--students who have an average Mathematics background or who commence their university studies in July.
The aim of this subject is to develop ideas, concepts and skills in Mathematics, especially applied skills, for application in later subjects.
The content of MATH161 is exactly identical to that of MATH141, but it is offerred in Spring Session (starting in July) with fewer contact hours and more emphasis on personal study. It is anticipated that students commencing their studies with MATH161 will continue on with MATH162 in Summer Session.
Clientele
Students eligible to take MATH161 are those who satisfy the following:
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NSW HSC Mathematics (2 Unit) Band 2 or higher, or
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NSW HSC Mathematics Extension 1 Band 2 or higher, or
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NSW HSC Mathematics Extension 2 any band;
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or equivalent
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Further Notes.
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Engineering students who have completed NSW HSC General Mathematics should enrol in MATH010 through the Enabling Mathematics Program run by the Faculty of Engineering, commencing in Autumn session.
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Students who enrol in MATH161 and need to continue with 200 level Mathematics subjects other than MATH283 (for example, Physics students, Mathematics students) should be aware that they require a mark of 65 or higher in the follow-on subject MATH162 to continue with those 200 level subjects. It is recommended that these students wait until Autumn Session and commence their studies with MATH187.
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Formal Prerequisites
Either a mark of at least 65 in MATH151 OR in NSW HSC Mathematics (2 Unit).
Assumed knowledge
It is assumed that students have completed NSW HSC Mathematics (2 Unit). If any of the skills learnt during school years are "rusty", we recommend some bridging work before attempting MATH161. The content of this disc will provide you with a healthy start.
Content
Students in MATH161 are taught the following.
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Fundamentals
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Summary of background material required for survival in first-year Calculus subjects.
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Linear Algebra
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Introduction to matrices; solving systems of equations using matrix methods, determinants and applications.
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Differentiation
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Revision of functions; introduction to differentiation rules and techniques.
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Integration
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Introduction to integration, including definite and indefinite integrals; evaluating integrals using elementary techniques.
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Polar Coordinates
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Introduction to polar coordinates, including plotting points, converting to Cartesian and sketching polar graphs.
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Vector Geometry
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Introduction to vectors in three dimensions and their applications to elementary geometry.
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After successful completion of this subject the student should be able to:
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(i)
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demonstrate a basic knowledge of the principles and techniques in Mathematics;
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(ii)
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demonstrate problem solving skills and the ability to analyse the final results;
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(iii)
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apply general mathematical principles, think logically and analytically.
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