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Unit 19, Data structures and algorithms, is a crucial unit of the HND Computing Diploma. This unit provides an introduction to the students regarding the significant concepts of the processing, managing and organising data with efficiency. These things utilise multiple algorithms and structural techniques. This unit initiates with identifying the categories of abstract data that include cues and steps with concrete data structures. These structures utilise binary trees, heaps, linked lists and arrays. The students will acquire the way through which these structures provide the service as a basic way of accessing and storing data, with every distinct advancement offering. The multiple advantages of its reliance on the contact of the unit also focus on the significance of algorithmic procedures based on steps for data manipulation within these structures. It includes the operations that are common, like searching and sorting. The significant emphasis of the unit is on its implementations, which are practical on these structures and algorithms of data in the programming language. Students get the task of coding and designing solutions to the problems of the real world. These issues include the stack implementation for the message with quiz or processing for the buffering task in the system with middleware. The curriculum also requires demonstration of learners for the key operations, for example, transversal, deletion and insertion. It will also assess the learners to handle the errors with strength through validating and handling exceptional implementations with the help of testing. The use of these abstract data types encourages informing, highlighting and encapsulating the hidden information with the fundamental principles in the design oriented with object and software engineering.

This unit caters to the algorithmic assessment effectiveness and efficiency. Students identify the asymptotic analysis which utilises the theta notations Omega and big O to identify the with algorithms that can perform the task, such as data size growth. They also acquired the way to major efficiency with the help of space and time complexity. Moreover, it recognises the trade-off between including one structure of data selection and algorithm over another. In the last part of this unit, the students have the expectation to identify critically the suitability and complexity of their implementations. You can justify the choices of designs and appreciate the advantages of utilising the implementation of independent structures of data in developing maintenance and scalable solutions of software solutions.

Unit Aims

The main objectives of the unit 19 data structure and algorithm, according to HND in computing, are designed for the learning aspects, such as:

  • To understand and examine the ADTs abstract data types, structures of concrete data and algorithms, which include they are character in problem-solving and efficient data management.
  • To specify the categories of abstract data and formal algorithms utilising notations of standardising to explicitly define behaviours and operations.
  • To implement complex structures and algorithms for data in a programming language for solving problems with well-defined computation.
  • To generate skills in validation, testing and error handling for data algorithms and structure implementation to ensure certified correctness and reliability.
  • To analyse and assess the efficiency and effectiveness of data algorithms and structures utilising performance metrics and asymptotic analysis, like space and time complexity.
  • To discover the concept of information hiding and encapsulation in ADTs, recognising their significance in object-oriented programming and software design.
  • To critically justify and evaluate the appropriate structures of data selection and algorithms. Consider implementations and trade-offs, independence for maintainable and scalable solutions.

Learning Outcomes

Unit 19, data structures and algorithms, is one of the crucial parts of the computing subject in the HND diploma, and its learning outcomes are given below.

LO1: Examine abstract data types, concrete data structures and algorithms

  • ADTs abstract data types:
    • ADTs specification with formal notation
  • Structures of data:
    • Set, types, tree, list, queue, stack, array, for example, recursive, passive and active
  • Types of algorithms:
    • Backtracking, brute force, randomised, bound and branch, greedy, conquer and divide, dynamic, recursive
  • Algorithms:
    • Quick, linear search, binary tree of search, binary, solved, insertion, quick, merge, selection, bucket, heap, travelling salesman, transversals of binary tree, find path.

LO2: Specify abstract data types and algorithms in a formal notation

  • Specification of design:
    • Specify ADTs utilising the formal notation, for example ASN.1.
    • Utilise the specification of a program with a non-executable language, for example, VDM and SDL.
    • Issues, for example, difficulties in design patterns, encapsulation, software development, parallelism, efficiency, and information hiding.
  • Creation:
    • Post conditions, error conditions, pre-conditions.

LO3: Implement complex data structures and algorithms

  • Implementation:
    • Apply data and logic structures algorithms, multidimensional arrays, stacks, linked list, hash table, trees, queues, graph algorithm, heap, transversal of trees, searching, harsh functions, scheduling and recursive algorithm, string manipulation, utilising pointer, handle, method, class, utilising an executable language of programming.
    • Generating maintainable and logical code.
  • Debugging and testing:
    • Testing course to certify that they are safe and can handle errors of users, creating and designing the scenarios of test, applying techniques of structure for problem-solving, code debugging, recognising the program structure to resolve and identify issues.

LO4: Assess the effectiveness of data structures and algorithms

  • Optimisation of DSL data structural libraries:
    • DSL limitations, Data structures and their manual selection, theoretical analysis, big O notation, N size, and asymptotic analysis, theoretical analysis.
  • Effectiveness of algorithms:
    • Interpreter or compiler dependencies, benchmarking of run time, usage of resources, parallelism of degree, space, time, performance of power, garbage collection efficiency.

Assessment Criteria

The assessment criteria of Unit 19, data structure and algorithms, have a great association with the learning outcomes, such as,

LO1: Examine abstract data types, concrete data structures and algorithms.

  • 1.1 Create a design specification for data structures, explaining the valid operations that can be carried out on the structures.
  • 1.2 Determine the operations of a memory stack and how it is used to implement function calls in a computer.
  • 1.3 Illustrate, with an example, a concrete data structure for a First in First out (FIFO) queue.
  • 1.4 Compare the performance of two sorting algorithms.
  • 1.5 Analyse the operation, using illustrations, of two network shortest path algorithms, providing an example of each.

LO2: Specify abstract data types and algorithms in a formal notation.

  • 2.1 Specify the abstract data type for a software stack using an imperative definition.
  • 2.2 Examine the advantages of encapsulation and information hiding when using an ADT.
  • 2.3 Discuss the view that imperative ADTs are a basis for object orientation, offering a justification for the view.

LO3: Implement complex data structures and algorithms.

  • 3.1 Implement a complex ADT and algorithm in an executable programming language to solve a well-defined problem.
  • 3.2 Demonstrate how the implementation of an ADT/algorithm solves a well-defined problem.
  • 3.3 Critically evaluate the complexity of an implemented ADT/algorithm.
  • 3.4 Implement error handling and report test results.

LO4: Assess the effectiveness of data structures and algorithms.

  • 4.1 Discuss how asymptotic analysis can be used to assess the effectiveness of an algorithm.
  • 4.2 Interpret what a trade-off is when specifying an ADT, using an example to support your answer.
  • 4.3 Evaluate three benefits of using implementation independent data structures.
  • 4.4 Determine two ways in which the efficiency of an algorithm can be measured, illustrating your answer with an example.

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