EMTH119-22S2 (D) Semester Two 2022 (Distance)

Engineering Mathematics 1B

15 points

Start Date: Monday, 18 July 2022
End Date: Sunday, 13 November 2022
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 31 July 2022
  • Without academic penalty (including no fee refund): Sunday, 2 October 2022


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.

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.

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.



MATH103, MATH109, MATH199

Course Coordinator

Phillipa Gourdie

Indicative Fees

Domestic fee $1,002.00

International fee $5,625.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

All EMTH119 Occurrences