Review and coursework completion

This week’s topics

Review and coursework completion

1. Reviewing the learning outcomes
2. Completing and checking coursework against the criteria
3. Self-assessment

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

Guided review of every criterion; coursework completion clinic and peer review.

Study materials

Further resources

• Writing Guide, ch. 20: Portfolio Reflection · PDF · OpenStax Writing Guide with Handbook (2021), ch. 20 (20.1–20.5): reviewing your work, choosing portfolio evidence and self-assessment, pp. 664–678 · for registered students
• Technology-mediated self-assessment in higher education: a critical review · Open-access article · Cao et al. (2025), Contemporary Educational Technology. Recent review of self-assessment tools and practices in higher education. · for registered students