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Computing

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Computing

Computing

Information, algorithms, programming, software, computer systems, networks and data.

Computing Learning Map

Foundations

Computing & Programming Foundations

What this chapter will buildExplain how computers represent information and use abstractions to connect physical devices, programs and human purposes.

Suggested preparation

Start here — no earlier chapter is needed.

Preparation in other areas of study

Mathematics · What Mathematics Is & How to Learn It
Mathematics · Numbers & Arithmetic

What computing can do and how problems become computationalPlanned
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Hardware, software, interfaces and layers of abstractionPlanned
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Bits, binary numbers and finite representationsPlanned
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Text encodings, images, sound and structured dataPlanned
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For deeper background
- Mathematics · Measurement, Scale & Estimation
Integer ranges, floating-point values and representation errorPlanned
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Data, information, storage, compression and transmissionPlanned
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Related areas of study

Mathematics
Physics
Engineering & Technology

What this chapter will buildTurn clear problem statements into stepwise solutions and reason about conditions, examples and correctness.

Suggested preparation

Preparation in other areas of study

Mathematics · Sets, Relations & Mappings
Mathematics · Logic & Proof Methods

Inputs, outputs, requirements and problem specificationsPlanned
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Boolean values, logical operators and truth tablesPlanned
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Decomposition, patterns and useful abstractionsPlanned
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Algorithms, pseudocode and step-by-step tracingPlanned
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Conditions, repetition and state changesPlanned
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Examples, edge cases, invariants and informal correctnessPlanned
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Mathematics

What this chapter will buildWrite and explain small programs using values, variables, control flow and basic input and output.

Suggested preparation

Preparation in other areas of study

Mathematics · First Algebra, Formulas & Graphs

Source code, execution environments and running a programPlanned
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Values, variables, expressions and assignmentPlanned
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Basic data types, operations and conversionsPlanned
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Conditionals, branching and compound conditionsPlanned
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Loops, iteration and terminationPlanned
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User input, output, validation and simple interactionsPlanned
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Building small solutions and explaining their behaviourPlanned
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Related areas of study

Mathematics
Practical Science for Daily Life

What this chapter will buildOrganise programs with functions and collections while reasoning about scope, mutation and reusable components.

Suggested preparation

Preparation in other areas of study

Mathematics · Functions & Algebraic Expressions
Mathematics · Sets, Relations & Mappings

Functions, parameters, return values and contractsPlanned
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Scope, local state and the lifetime of valuesPlanned
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Strings, sequences, sets and key-value collectionsPlanned
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Mutability, aliasing, copying and side effectsPlanned
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Recursion, base cases and the call stackPlanned
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Files, modules, libraries and reusable program structurePlanned
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Mathematics

What this chapter will buildFind and explain program defects systematically and use tests, documentation and tools to support reliable changes.

Suggested preparation

Syntax errors, runtime failures and incorrect behaviourPlanned
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Tracing, breakpoints, logs and minimal reproductionsPlanned
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Test cases, boundaries, assertions and expected behaviourPlanned
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Exceptions, error handling and recoveryPlanned
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Editors, command-line tools, dependencies and environmentsPlanned
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Reading documentation, explaining code and asking useful questionsPlanned
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Version history, small changes and reproducible workPlanned
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Related areas of study

Practical Science for Daily Life
Metascience & Open Research

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