All submissions must have a completed cover sheet (see Appendix A) attached to your submission.
The five tasks for this assignment are all similar. They require you to select and summarise topics from the module and outline where that topic can be applied in the real world, ideally within your organization, to make it more relevant. A worked example will demonstrate one of those applications of the topic in practice. Finally, you will review and reflect on the application of the topic.
Please select five sections from the ten covered in the module – Your choice depends on which sections you have a greater knowledge and understanding of the theory and how it can be applied to the real world:
- Algebraic Equations
- Propositional and Predicate Logic
- Set Theory
- Relations and Functions
- Algorithms and Pseudocode
- Mathematical Proof
- Linear Algebra
- Sequences and Series
- Probability and Statistics
- Graph Theory
For each of the five sections, then select a topic from within that section – Again your choice is dependent on your knowledge and understanding of the topic and how it can be applied to the real world.
For each of the five topics – Five tasks in all:
- Summarise the theory and key points of the selected topic
- List and briefly describe areas and activities that your selected topic can be applied to within the real world, ideally your organization
- Demonstrate using a worked example of how your selected topic can be applied to ONE of your listed areas and activities
- Review and reflect on the application of the selected topic generally and to your example including advantages, disadvantages, and improvements
Repeat these sub-tasks is for each of the five sub-topics / tasks.
Where appropriate use diagrams, graphs, and mathematical equations or formulas to illustrate and explain your answers. Within Word there is an option to create mathematical equations and symbols – Simply click Insert from the main top-bar menu and then Equation or Symbols from the far-right hand side of the Insert sub-menu.
To help you get started and set the context here are some ideas:
- Algebraic Equations – Can be used to model problems by creating expressions that can be evaluated.
- Propositional and Predicate Logic – Can be used to model rules and reasoning to determine whether a given argument is valid or not.
- Set Theory – Can be used to model scenarios, organize things into groups and perform operations on those things.
- Relations and Functions – Can be used to model scenarios, the relationships, and functions between objects in different groups.
- Algorithms and Pseudocode – Can be used to model the logic to solve computational problems.
- Mathematical Proof – Can be used to construct and determine if a mathematical argument is correct or not.
- Linear Algebra – Can be used in graphics and games design, geometry and solving linear equations.
- Sequences and Series – Can be used to calculate the next value or term in a sequence or the sum of all values in a series
- Probability and Statistics – Can be used to model scenarios where there is the uncertainty of outcomes, evaluate that uncertainty and help make decisions.
- Graph Theory–can be used to model networks and relationships and determine feasible and optimal routes