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A continuation of EMTH118. Topics covered include methods and Engineering applications of calculus, differential equations, and linear algebra, along with an introduction to probability. This course is a prerequisite for many courses in engineering mathematics and other subjects at 200 level.
EMTH119 consolidates concepts from EMTH118 and introduces more advanced ideas in calculus and linear algebra. It includes applications of this mathematics to applied and engineering problems.It also incorporates some study of probability. It is a prerequisite for many courses in engineering mathematics and other subjects at the 200-level.Topics: Differential equations. First-order ordinary differential equations with applications. Second-order ordinary differential equations with applications.Sequences and mathematical induction. Applications of differentiation to approximation. Approximation by Taylor polynomials. Landau’s notation and order of magnitude.Matrices and determinants. Probability. Sets and probability. Discrete random variables. Continuous random variables. Expectation, mean, and variance.Techniques and applications of integration. Integration of rational functions.Arc length. Improper integrals. Vector Geometry Projections. Parallel and intersecting planes. Intersection and distance problems.
to provide the necessary mathematical concepts and techniques required in engineering subjects to consolidate and extend the ideas and techniques the concepts of calculus and linear algebra and their applications to increase understanding of the mathematical foundations of the topics studied to practice the application of mathematical concepts and techniques to understanding and solving problems to introduce computer software used to solve mathematical problems
MATH102, MATH108 or EMTH118
MATH103, MATH109, MATH199
Anton, Howard., Bivens, Irl., Davis, Stephen;
Calculus: Early Transcendentals;
Wiley (9th edition or 8th edition also suitable).
General information for students
Domestic fee $808.00
International fee $4,550.00
* 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.