Foundations of Applied Mathematics

Learning Outcomes

• Students who pass this course will be able to:
  
• Use equations and formulae that describe various physical phenomena encountered in science and engineering
  o use basic algebra to simplify expressions and rearrange equations
  o use the rules of exponents
  o solve linear equations and non-linear equations
  o interpret and solve inequalities
  o model linear and quadratic relationships
  o graph and interpret linear, quadratic, exponential and logarithmic models
  o apply equations used to calculate the area and volume of physical objects
  o apply trigonometry to simple geometric calculations
  o interpret the slope and area under a curve in an applied context (such as acceleration, velocity, displacement)
  o calculate an approximation to the area under a curve
  
• Perform calculations using factorials, permutation, & combinations.  
  
• Calculate probabilities using Venn diagrams and tabulated data
  o apply the additive rule, complements, and the multiplicative rule for independent events
  
• Interpret the slope and intercept of a linear model between two variables
  
• Use Excel to:
  o perform numerical calculations.
  o produce data visualisations including bar and pie charts, line charts and scatter plots
  o perform data analysis including data summaries (descriptive statistics), and two way table analyses using Pivot Tables.
  o fit a linear model to bivariate data using simple linear regression.

University Graduate Attributes

This course will provide students with an opportunity to develop the Graduate Attributes specified below:

Critically competent in a core academic discipline of their award Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.

Restrictions

For further information see Mathematics and Statistics .