# Mathematics

## Description

Mathematics for Construction Management, Quantity Surveying and Building Economics and Architectural Technology Year 1.  Gain the understanding and skills necessary to measure, monitor and quantify change in economic, energy and ecological systems.  Apply measurement, estimation, calculation and comparison to gauge ecosystem health that lead to preferred futures.

## Learning Outcomes

1. Perform calculations involving fractions, percentages and ratios.  Formulate calculations for VAT inclusive and exclusive invoicing.

2. Manipulate units, including squared and cubic units, in the metric system.  Determine use of scientific notation for linear, squared and cubed units.  Be prepared to estimate costs and measurements .

3. Understand calculations involving indices, laws of indices and logs.

4. Simplify algebraic expressions, find factors for algebraic expressions. Solve linear and quadratic equations.  Solve equations involving surds and indicies.

5. Convert from radians to degrees and visa versa.

6. Perform calculations for graphing lines, simultaneous equations, quadratic equations and mix of each.  Plot and measure points in 2 and 3-D for surveying purposes.

7. Determine solutions for right-angled and other triangles. Find areas of triangles using various methods. Perform calculations using Simpson's Rule, Trapezoidal Rule and Mid-Ordinate Rule

8. Calculate the surface areas and volumes of regular and irregular solids. Calculate the surface areas and volumes for composite shapes including frustra.

9. Apply the compound interest and depreciation formulae.  Perform calculations involving the time value of money. Interpret APR, NPV and IRR calculations.

10. Calculate summary measures for data manually and/or using statistical function on calculator.

Credits
05
% Coursework 50%
% Final Exam 50%