Module Title:Discrete Structures and Algorithms II
Language of Instruction:English
Credits: 10
NFQ Level:7
Module Delivered In No Programmes
Teaching & Learning Strategies: As well as traditional lectures students will undertake various take home exercises on topics and problems discussed in class. They will be expected to participate in class discussions on the materials covered therein and describe their methods used to solve problems.
Module Aim: To develop further the language of computational structures with emphasis on the design and analysis of a range of algorithms.
Learning Outcomes
On successful completion of this module the learner should be able to:
LO1 formulate problems using fi rst order logic and give examples of standard techniques of proof;
LO2 relate mathematical induction to recursion and recursively defi ned structures;
LO3 recognise the importance of algorithm complexity;
LO4 describe a variety of non-linear structures for storing data;
LO5 outline a range of algorithms for non-linear structures;
LO6 solve problems using basic mathematical techniques of linear algebra and number theory.
Pre-requisite learning
Module Recommendations

This is prior learning (or a practical skill) that is recommended before enrolment in this module.
No recommendations listed
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed.
1st year Programming or equivalent. 2nd year Discrete Structures and Algorithms I
 

Module Content & Assessment

Indicative Content
Mathematical Logic
review of sets, relations and functions, syllogistic reasoning, predicate logic, methods of proof, resolution principle, formal proofs, mathematical induction.
Recursion and Design Techniques
recursive relations, recursive algorithms, algorithm strategies and design techniques, algorithm complexity, analysis of simple algorithms.
Structures and Applications
trees, balanced trees, tries, hash tables and collision strategies, maps.
Graphics
vectors in 3 dimensions, geometry of lines and planes, transformations and rotations in 2 and 3 dimensions.
Cryptography
linear congruences, primes and prime factorisation, Euler-phi function, public-key cryptography, RSA algorithm.
Assessment Breakdown%
Continuous Assessment20.00%
Practical20.00%
End of Module Formal Examination60.00%
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Other CA will be made up of a selection classroom exams along with some take home sheets 1,2,3,4,5,6 20.00 n/a
No Project
Practical
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Practical/Skills Evaluation Lab assignments and Take home sheets 1,2,3,4,5,6 20.00 n/a
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam 3 hour written exam 1,2,3,4,5,6 60.00 End-of-Semester

SETU Carlow Campus reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Frequency Average Weekly Learner Workload
Laboratory 20 Weeks per Stage 1.00
Estimated Learner Hours 20 Weeks per Stage 4.00
Lecture 20 Weeks per Stage 4.00
Tutorial 20 Weeks per Stage 1.00
Total Hours 200.00