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Foundation · Computing

Mathematics for University Study

Unit 02 — Core — Semester 1

UnitUnit 02
CategoryCore
Credits20
Guided Learning Hours120

Course Description

Consolidates numerical, algebraic and logical skills relevant to computing — number systems and binary conversion, algebra and Boolean logic, and basic statistics and problem-solving.

Course Objectives

To build the numerical and logical fluency required for undergraduate computing study.

Key Topics

  1. Denary, binary and hexadecimal conversion
  2. Binary addition
  3. Simple linear equations
  4. Truth tables for logic gates (AND, OR, NOT)
  5. Mean, median and mode
  6. Flowcharts for problem-solving

Course Outline (selected teaching weeks, Semester 1)

WeekTopic & Activity
2Number Systems
AC1.1 Convert denary numbers to binary and hexadecimal. AC1.2 Perform simple binary addition.
Maths Lab: The Logic of 0s and 1s.
5Algebra & Logic
AC2.1 Solve simple linear equations. AC2.2 Construct truth tables for logic gates (AND, OR, NOT).
Lab: Designing Simple Logic Circuits.
7Formative Assessment
Midterm assessment: draft assignment reviewed with tutor feedback.
1-to-1 feedback sessions with tutors.
9Data & Problem Solving
AC3.1 Calculate mean, median and mode from a dataset. AC3.2 Use flowcharts to represent problem-solving steps.
Workshop: Algorithms & Flowcharts.
Final exam weekFinal Assessment Submission
Final submission of all units of the semester.
Portfolio finalisation and semester review.

Learning Outcomes

  1. Convert between number systems used in computing and perform binary addition.
  2. Solve simple linear equations and construct truth tables for logic gates.
  3. Calculate mean, median and mode, and use flowcharts to represent problem-solving steps.
Assessment

Assessed by coursework (no written examination) — an assignment, report or presentation set at the start of Semester 1. A formative draft is reviewed with tutor feedback as the unit’s midterm assessment during the teaching weeks, and the final version is submitted in the final exam week at the end of the semester. Graded Pass, Merit or Distinction, with plagiarism-checked submissions (Turnitin) and a signed Learner Declaration Form.

Learning Resources
  • BCBT IT Lab — dedicated workstations for coding and digital-literacy work
  • VS Code, Python IDLE, and standard web browsers
  • Virtual Learning Environment (VLE), Turnitin, W3Schools, Codecademy
  • BCBT Digital Library — academic English & introductory computing texts
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