ENGR8761 Engineering Mathematics GE

2019

4.5

1 x 2-hour lecture weekly
1 x 1-hour tutorial-2 weekly
1 x 2-hour tutorial-1 weekly
1 x 1-hour workshop weekly

ENGR2711 has been successfully completed

An understanding of the fundamental concepts of calculus and linear algebra, such as obtained from MATH1121 Mathematics 1A and MATH1122 Mathematics 1B

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.

This topic equips the students with the skills needed to solve engineering problems with several variables 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.

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 Linear Algebra to Engineering problems
3. Understand and be able to apply Differential Equations to Engineering problems
4. Understand and discuss aspects of the practical implementation of mathematics principles in engineering problems