Further Mathematics for Construction
Apply addition and multiplication methods to numbers that are expressed in different base
systems.
Solve engineering problems using complex number theory.
Perform arithmetic operations using the polar and exponential form of complex numbers.
Deduce solutions of problems using de Moivre’s Theorem.
Test the correctness of a trigonometric identity using de Moivre’s Theorem.
Solve systems of linear equations relevant to construction applications using matrix
methods
Ascertain the determinant of a 3×3 matrix.
Solve a system of three linear equations using Gaussian elimination.
Determine solutions to a set of linear equations using the inverse matrix method.
Validate all analytical matrix solutions using appropriate computer software.
Approximate solutions of contextualised examples with graphical and numerical
methods
Estimate solutions of sketched functions using a graphical estimation method.
Identify the roots of an equation using two different iterative techniques.
Determine the numerical integral of construction functions using two different methods.
Solve construction problems and formulate mathematical models using first-order differential
equations.
Critique the use of numerical estimation methods, commenting on their applicability and the
accuracy of the methods.
Review models of construction systems using ordinary differential equations
Determine first-order differential equations using analytical methods.
Determine second- order homogeneous and non-homogenous differential equations using
analytical methods.
Calculate solutions to linear ordinary differential equations using Laplace transforms.
Evaluate how different models of construction systems use first-order differential equations
to solve structural or environmental problems.
Evaluate first- and second-order differential equations when generating the solutions to