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A first course in the methods and applications of engineering mathematics. Topics include calculus, linear algebra, and modelling techniques. This Course is designed for engineering students who have done well in NCEA Mathematics with calculus.
A pass in EMTH118 allows entry into EMTH119 and also prepares students for EMTH171 and ENGR102. Topics:Linear equations and matrices; functions, limits and continuity; vector geometry; differentiation; applications of differentiation; integration; and applications of integration, including an introduction to first order differential equations.
Students who have succeeded in this course will be able to:Define the key concepts in:systems of linear equationsmatrix algebrafunctions and their inverses as the basis for mathematical modelsfunctions and their graphsvector geometrysingle-variable calculusDescribe and interpret:the connection between matrices and linear systemssolutions of linear systems geometrically, and in the context of engineering and modelling problemsthe connection between differential and integral calculussolutions of first order differential equations in engineering contextsthe description of lines and planes using vectorsUse techniques from the course to:solve systems of linear equations by Gaussian eliminationevaluate limits of functions and solve continuity problemsuse vector geometry to solve angle, distance, and intersection problemsfind derivatives and use them in engineering and modelling applicationsfind integrals and use them in engineering and modelling applicationssolve separable first order differential equationsIdentify the appropriate method of solution for problems in linear algebra and calculus.
1) MATH101, or2) NCEA 14 Credits (18 strongly recommended) at level 3 Mathematics (including the standards 'Apply differentiation methods in solving problems (91578)' and 'Apply integration methods in solving problems (91579)'), or3) Cambridge: D at A level oran A at AS level in Mathematics, or4) IB: 4 at HL or5 at SL in Mathematics, or5) approval of the Head of School based on alternative prior learning.
MATH102, MATH108, MATH199
, David Rodda
and Phillipa Gourdie
Note: To pass this course you must obtain a final mark of at least 50% and obtain at least 40% in the final examination.
Recommended reading:Stewart, James: Calculus Early Transcendentals. 8th edition. ISBN: 9781305272378
General information for students
Domestic fee $975.00
International fee $5,500.00
* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.
For further information see
Mathematics and Statistics.