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MATH141 - Foundations of Engineering Mathematics
Intention
This subject provides the first stage of Mathematics for Engineering (and other interested) students.
The aim of this subject is to develop ideas, concepts and skills in Mathematics, especially applied skills, for application in later subjects.
It is anticipated that students commencing their studies with MATH141 will continue on with MATH142 in Spring Session.
Clientele
All Engineering students who satisfy the following:
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NSW HSC Mathematics (2 Unit) Band 2 or higher
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or equivalent
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Engineering students who have completed NSW HSC Mathematics Extension 2 (or equivalent) may consider taking MATH187 instead.
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.
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Mature age Engineering students (that is, those who have taken a substantial break between School studies and University studies) are encouraged to enrol in MATH141, despite their level of HSC Mathematics.
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Formal Prerequisites
Either a mark of at least 65 in MATH151 OR in NSW HSC Examination: Mathematics - Band 2 or better.
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 MATH141. The content of this disc will provide you with a healthy start.
Content
Students in MATH141 are taught the following.
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Fundamentals of Calculus
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Summary of background material required for survival in first-year Calculus subjects.
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Functions
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Revision of functions; domain and range; inverse functions; functions defined parametrically.
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Elementary Calculus
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Introduction to differentiation rules and techniques; introduction to integration, including definite and indefinite integrals; evaluating integrals using elementary techniques.
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Linear Algebra and Vector Geometry
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Introduction to matrices; solving systems of equations using matrix methods; determinants; applications to vector geometry in three dimensions.
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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 Calculus;
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(ii)
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demonstrate a basic knowledge of the principles and techniques in Linear Algebra;
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(iii)
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apply principles and techniques from Linear Algebra in the context of three-dimensional Vector Geometry;
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(iv)
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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 within an engineering context and think logically and analytically through problems.
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