Engineering Mathematics 1B

Description

This occurrence of the course is for approved online students only. On-campus students should enrol in the (C) occurrence of this course.

Students may be required to sit invigilated tests and exams in-person in Christchurch, or with off-campus in-person invigilation, or with online invigilation, depending on the student's location.  Where online invigilation is required the student will need to ensure that they have a suitable internet connection and access to technology including a webcam, and may be required to download and install online invigilation software.   Also see Clashes and alternative arrangements

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:
First-order ordinary differential equations with applications. Review of complex numbers. Second-order ordinary differential equations with applications.
Introduction to convergence of sequences and series. Applications of differentiation to approximation. Approximation by Taylor polynomials. Landau’s notation and order of magnitude.
Determinants, eigenvalues and eigenvectors.
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.
Multivariate differentiation and classification of critical points.