1 x 2-hour lecture weekly
1 x 2-hour tutorial weekly
1 x 50-minute workshop weekly
1 of MATH1122, MATH1204
Enrolment not permitted
ENGR8761 has been successfully completed
Assumed knowledge
An understanding of fundamental concepts of calculus and linear algebra.
Topic description
First order ODE (Existence and uniqueness, separable, exact equations), linear ODE (Existence and Uniqueness, constant coefficient homogenous, variable coefficient homogenous, constant coefficient nonhomogeneous), boundary value problems.

Vectors and the geometry of Space, dot and cross product, equations of lines and planes; Vector Functions, derivatives and integrals of vector functions, velocity and acceleration in space; Partial Derivatives, tangent planes and approximation, chain rule, directional derivatives, maximum and minimum values. Double and Triple Integrals. Vector Fields, Line integrals. Curl and Divergence, Stokes’ Theorem. The Divergence Theorem.
Educational aims
This topic equips the students with the skills needed to solve mathematical problems with several variables, linear systems, and differential equations. These provide the mathematical pre-requisites that the student needs for the second and higher year Engineering topics. The focus is on the application of the mathematical ideas to Engineering problems.
Expected learning outcomes
At the completion of the topic, students are expected to be able to:

  1. Understand and be able to apply Multivariate Calculus to Engineering problems
  2. Understand and be able to apply Differential Equations to Engineering problems