Overview
First order ODEs (existence and uniqueness, separable, exact equations, linear equations), second-order ODEs (existence and uniqueness, constant coefficient homogenous, constant coefficient non-homogeneous), 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 … For more content click the Read More button below.
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Tuition pattern
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Aims
This topic aims to equip 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.
Learning outcomes
On completion of this topic you will be expected to be able to:
1.
Understand and be able to apply multivariable calculus to engineering problems
2.
Understand and be able to apply differential equations to engineering problems
3.
Understand and discuss aspects of the practical implementation of mathematics principles in engineering problems
Assessments
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Requisites information
Anti-requisites:
Assumed knowledge
An understanding of the fundamental concepts of calculus and linear algebra such as can be obtained in MATH1121 Mathematics 1A and MATH1122 Mathematics 1B.