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Level 4 Diploma in Cyber Security

Assignment workshop: research, planning and referencing

CYB402 · Mathematics for Computer Science — Week 13 of 16

CourseCYB402
Week13 of 16
SemesterI
TutorOnline in the course chat

This week’s topics

Assignment workshop: research, planning and referencing

  1. Unpacking the assignment brief and criteria
  2. Finding and evaluating sources
  3. Planning and referencing

What you will be able to do

  • 1.1 Describe what is meant by binary representation.
  • 1.2 Explain how to change between bases.
  • 1.3 Explain how numbers are represented in binary.
  • 1.4 Evaluate the use of binary representation in the field of computer science.
  • 2.1 Describe a range of mathematical proof techniques.
  • 2.2 Describe the possible algebraic operations in set theory.
  • 2.3 Explain the key principles of (Boolean) propositional logic.
  • 2.4 Use truth tables to detail the possible outcomes of binary logical operators.
  • 2.5 Analyse the similarities between Boolean logical operators and Boolean algebra in set theory.
  • 2.6 Evaluate mathematical proof techniques and the circumstances under which they may be appropriate.
  • 3.1 Describe the key principles of modular arithmetic and finite fields.
  • 3.2 Explain a range of key number theoretic theorems and proofs.
  • 3.3 Analyse the differences between ordinary and modular arithmetic.
  • 3.4 Evaluate the use of modular arithmetic and prime numbers in security applications such as cryptography and hashing.
  • 4.1 Describe what is meant by a sequence and a series.
  • 4.2 Explain the difference between arithmetic and geometric series and sequences.
  • 4.3 Use appropriate notation to represent sequences.
  • 5.1 Describe what is meant by vectors and matrices.
  • 5.2 Use row-reduction to convert a matrix to echelon form.
  • 5.3 Solve linear systems of equations using matrices.
  • 5.4 Analyse the significance of the determinant of a matrix.
  • 5.5 Use a range of techniques to decompose matrices and evaluate their usefulness.

Activity

Plan the unit assignment against every criterion; source and reference the evidence.

Study materials

Further resources

  • Writing Guide, 14.1: Peer-reviewed and other credible sources · PDF · OpenStax Writing Guide with Handbook (2021), 14.1 on journals, books and credible non-academic sources, pp. 456–461 · for registered students
  • Writing Guide with Handbook, ch. 12.6: Integrating sources and quotations · PDF · OpenStax (2021), section 12.6 on signal phrases, reporting verbs and quoting accurately; pp. 411–413 · for registered students
  • College Success, 3.7: Time and Task Management · PDF · OpenStax College Success (2020, updated 2023), 3.7: planning long-term tasks and building a timeline, pp. 94–101 · for registered students
Materials marked “for registered students” open in the student portal, which is set up as soon as you receive final acceptance.
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Course plan
  • Week 1: Number bases: binary, denary and hexadecimal, and convertin…
  • Week 2: Binary in computer science: binary addition and overflow, t…
  • Week 3: Propositional logic: Boolean operators and truth tables
  • Week 4: Set theory: Venn diagrams, notation, union, intersection an…
  • Week 5: Proof techniques: induction and strong induction, contradic…
  • Week 6: Finite fields and modular arithmetic: algebras, identities …
  • Week 7: Number-theoretic theorems (Fermat's little theorem, Euler's…
  • Midterm: Midterm evaluation
  • Week 9: Sequences and series: arithmetic, geometric and harmonic pr…
  • Week 10: Vectors and matrices: matrix multiplication, inverses and s…
  • Week 11: Matrix types and properties (trace, determinant), LU decomp…
  • Week 12: Applying Mathematics for Computer Science in practice: case…
  • Week 13: Assignment workshop: research, planning and referencing
  • Week 14: Assignment workshop: drafting, feedback and improvement
  • Week 15: Review and coursework completion
  • Final: Final assessment and submission
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