# Mathematics for Product Design (H1039)

15 credits, Level 4

Autumn teaching

In this module, you cover topics including:

• Numbers: basic number theory, dimensions, units, constants, ratios, bases, powers and logarithms, imaginary numbers, functions.
• Algebra: manipulation of equations, simultaneous and quadratic equations, common factors and denominators, simple iteration, matrix algebra.
• Geometry: area and volume of common shapes, trigonometric functions, Pythagoras, angles, simple plane geometry (intersecting lines, properties of circles, triangles etc.), vectors.
• Graphs: 2-D representation of data in Cartesian and polar coordinate systems, logarithmic scales, bar charts, gradients and rates of change, area under the curve and Simpson's Rule, curve fitting.
• Statistics: average, median, mode, standard deviation, the normal distribution and Student's T distribution.
• Calculus: simple differentiation and integration of functions of a single variable and (crucially) relating it to graphical and physical information.

### Teaching

60%: Lecture
40%: Practical (Workshop)

### Assessment

50%: Coursework (Report)
50%: Examination (Computer-based examination)