This subject builds on the foundational concepts, methods and techniques introduced in MA1000. The aim is to develop knowledge and advanced analytical skills in specific areas of: Differential Calculus, Integral Calculus, Complex Numbers, Differential Equations, Infinite Series, Vectors and Matrices, and Systems of Linear Equations. Several topics are covered in each section in order to provide students with the fundamental knowledge required for more advanced mathematics.

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[Anti-requisite] MA1002 Offerings: All

[Pre-requisite] MA1000 OR MA1011 OR MA1009

[Pre-requisite] MA1000 OR MA1011 OR MA1009 Offerings: All

MA1003 - Mathematical Techniques

Mathematical Techniques

Perform algebra and arithmetic on complex numbers and solve equations involving complex numbers using rectangular, polar and exponential forms.


Apply algebraic methods to vectors and matrices, including the determinant and its properties, that build to the systematic solution of a system of linear equations.


Use methods of differential calculus to investigate and analyse different functions, including linear approximations and Newton's method. Demonstrate integration techniques, both analytical and numerical, and use these techniques for standard Engineering applications


Communicate mathematical thinking incorporating the concepts and methods presented in the subject


Use solution methods for introductory first and second order differential equations and apply these methods to word problems


Use convergence tests to determine properties of infinite series and power series. Determine power series representations of functions
