Programming is the backbone of computer science, and mastering these...
Programming Theory Notes for Computer Science




Programming Fundamentals
Ever wondered how programs store and manage information? Variables are like containers that hold values which can change as your program runs - think of them as boxes you can put different things in. Constants, on the other hand, are values that stay the same throughout your program's execution, like mathematical constants such as pi.
Understanding data types is crucial for writing effective code. You'll work with strings (text like "John Smith"), integers (whole numbers like 5000), real/float numbers (decimals like 3437.50), booleans (TRUE/FALSE values), and characters (single letters like 'M'). Each type serves a specific purpose and affects how your program processes information.
Data structures help organise multiple pieces of information efficiently. One-dimensional arrays store lists of values under a single name, whilst two-dimensional arrays create tables with rows and columns. Records are particularly useful because they let you store different data types together in one structure.
Top Tip: Think of arrays like filing cabinets - one-dimensional arrays are single drawers, whilst two-dimensional arrays are entire cabinets with multiple drawers and folders.

Programming Constructs and Testing
Your programs need structure to work properly, and that's where programming constructs come in. Sequences run code line by line in order, selections choose different code paths based on conditions (like IF statements), and iterations repeat sections of code until certain conditions are met.
Testing your programs properly is absolutely essential for catching problems before they cause bigger issues. Normal data testing uses realistic, valid input that your program should handle easily. Boundary data testing pushes the limits by using values at the edge of acceptable ranges. Erroneous data testing deliberately uses invalid input to ensure your program handles errors gracefully.
You'll encounter three main types of program errors during development. Syntax errors happen when you break the programming language's rules (like misspelling commands). Logic errors occur when your code runs but produces wrong results. Runtime errors crash your program during execution, often from impossible operations like dividing by zero.
Remember: Good testing isn't about proving your program works - it's about finding where it might break so you can fix it!

Trace Tables and Subprograms
Trace tables are your best friend for tracking how programs execute step by step. They help you follow variables through loops and calculations, showing exactly what happens at each stage. When creating trace tables, always include your range in the first row and move to a new row for each step of execution.
Looking at the worked example, the program sets Start to 1 and End to 4, then loops through each Index value, calculating Index * Index for the output. This systematic approach helps you spot errors and understand program flow much more easily.
Subprograms are reusable chunks of code that make programming much more efficient. They keep your code simple and readable, eliminate repetition by letting you call the same function multiple times, and allow you to create custom functions tailored to your specific needs. Think of them as recipes you can use whenever you need to perform the same task.
Pro Tip: If you make a mistake in your trace table, start fresh rather than trying to correct it - clean tables are much easier to follow and mark!
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Programming Fundamentals
Ever wondered how programs store and manage information? Variables are like containers that hold values which can change as your program runs - think of them as boxes you can put different things in. Constants, on the other hand, are values that stay the same throughout your program's execution, like mathematical constants such as pi.
Understanding data types is crucial for writing effective code. You'll work with strings (text like "John Smith"), integers (whole numbers like 5000), real/float numbers (decimals like 3437.50), booleans (TRUE/FALSE values), and characters (single letters like 'M'). Each type serves a specific purpose and affects how your program processes information.
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