CE141-4-FY-CO:
Mathematics for Computing

The details
2023/24
Computer Science and Electronic Engineering (School of)
Colchester Campus
Full Year
Undergraduate: Level 4
Current
Thursday 05 October 2023
Friday 28 June 2024
15
28 July 2023

 

Requisites for this module
(none)
(none)
(none)
(none)

 

CE294

Key module for

BSC G610 Computer Games,
BSC G612 Computer Games (Including Year Abroad),
BSC G620 Computer Games (Including Foundation Year),
BSC I610 Computer Games (Including Placement Year),
BENGG420 Computer Networks,
BENGG421 Computer Networks (Including Year Abroad),
BENGG520 Computer Networks (Including Foundation Year),
BENGI120 Computer Networks (Including Placement Year),
BSC G400 Computer Science,
BSC G401 Computer Science (Including Year Abroad),
BSC G403 Computer Science (Including Foundation Year),
BSC I101 Computer Science (Including Placement Year),
MSCIG402 Computer Science,
MSCII100 Computer Science (Integrated Masters, Including Placement Year),
BENGH650 Computer Systems Engineering,
BENGH651 Computer Systems Engineering (Including Year Abroad),
BENGH750 Computer Systems Engineering (Including Foundation Year),
BENGHP50 Computer Systems Engineering (Including Placement Year),
BENGGH46 Computers with Electronics (Including Foundation Year),
BENGGH4P Computers with Electronics,
BENGGH4Q Computers with Electronics (Including Year Abroad),
BENGI1H6 Computers with Electronics (Including Placement Year),
BSC G111 Computing,
BSC G112 Computing (Including Year Abroad),
BSC G113 Computing (Including Placement Year),
BSC GH01 Computing and Electronics,
BSC GH02 Computing and Electronics (Including Year Abroad),
BSC GH03 Computing and Electronics (Including Placement Year),
BSC GH3P Computing and Electronics (Including Foundation Year),
BENGH169 Neural Engineering with Psychology,
BENGH170 Neural Engineering with Psychology (including Placement Year),
BENGH171 Neural Engineering with Psychology (including Year Abroad),
BENGH172 Neural Engineering with Psychology (Including Foundation Year),
BSC H167 Neural Technology with Psychology,
BSC H168 Neural Technology with Psychology (including Year Abroad),
BSC H176 Neural Technology with Psychology (including Placement Year),
BSC I400 Artificial Intelligence,
BSC I401 Artificial Intelligence (Including Foundation Year),
BSC I402 Artificial Intelligence (including Placement Year),
BSC I403 Artificial Intelligence (including Year Abroad)

Module description

The module will cover fundamental mathematics for computer scientists inclulding the application of propositional logic, the use of counting methods including permulations and combinations, the application of basic notions of sets (illustrated through Venn diagrams), the application of probability on simple problems, and the solving of problems in linear algebra using vectors and matrices.

Module aims

The aim of this module is to cover fundamental mathematics for Computer Scientists. It does not assume A-level mathematics, and the emphasis and delivery will be on understanding the key concepts as they apply to Computer Science.

Module learning outcomes

After completing this module, students will be expected to be able to:

1. Apply propositional logic to simple problems
2. Use counting methods including permutations and combinations
3. Apply the basic notions of sets, and illustrate answers through Venn diagrams
4. Use methods of probability on simple problems
5. Solve problems in linear algebra using vectors and matrices

Module information

Outline Syllabus:

Propositional Logic:
Propositions and logical operators. Truth tables. De Morgan's laws. Algebraic rules and inference. Logical identities, Tautologies and Contraditions

Combinatorics:
Fundamental Principle of Counting. Ordered and unordered selections. Selections with and without replacement. Permutations and combinations. Counting methods.

Sets:
Set notation and basic concepts. Definition of sets through propositions. Set intersection, union and complementation. Venn diagrams. Cardinality. Cartesian products. Sample spaces and events.

Probability:
Experiments and outcomes. Sample space, events, relative frequency and probability. Mutual exclusivity and independence. Counting methods. Conditional probability. Mean and variance. The binomial distribution.

Vectors and Matrices:
Basic definitions. Addition and multiplication of matrices, multiplication by scalars. Inversion of 2x2 matrices. Applications. Transformations of the plane. Solving simultaneous equations in two unknowns.

Learning and teaching methods

Lectures and Problem Classes. Additional support is provided by Skills for Success. Participants not having AS or A level mathematics should take a diagnostic test to see whether they would benefit from this extra support.

Bibliography

This module does not appear to have any essential texts. To see non - essential items, please refer to the module's reading list.

Assessment items, weightings and deadlines

Coursework / exam Description Deadline Coursework weighting
Coursework   Progress Test 1    20% 
Coursework   Progress Test 2    20% 
Coursework   Progress Test 3    20% 
Coursework   Progress Test 4    20% 
Coursework   Progress Test 5    20% 
Exam  Main exam: In-Person, Open Book (Restricted), 120 minutes during Summer (Main Period) 
Exam  Reassessment Main exam: In-Person, Open Book (Restricted), 120 minutes during January 
Exam  Reassessment Main exam: In-Person, Open Book (Restricted), 120 minutes during September (Reassessment Period) 

Exam format definitions

  • Remote, open book: Your exam will take place remotely via an online learning platform. You may refer to any physical or electronic materials during the exam.
  • In-person, open book: Your exam will take place on campus under invigilation. You may refer to any physical materials such as paper study notes or a textbook during the exam. Electronic devices may not be used in the exam.
  • In-person, open book (restricted): The exam will take place on campus under invigilation. You may refer only to specific physical materials such as a named textbook during the exam. Permitted materials will be specified by your department. Electronic devices may not be used in the exam.
  • In-person, closed book: The exam will take place on campus under invigilation. You may not refer to any physical materials or electronic devices during the exam. There may be times when a paper dictionary, for example, may be permitted in an otherwise closed book exam. Any exceptions will be specified by your department.

Your department will provide further guidance before your exams.

Overall assessment

Coursework Exam
40% 60%

Reassessment

Coursework Exam
40% 60%
Module supervisor and teaching staff
Dr Yuli Yang, email: yuli.yang@essex.ac.uk.
Dr Yuli Yang
School Office, email: csee-schooloffice (non-Essex users should add @essex.ac.uk to create full e-mail address), Telephone 01206 872770

 

Availability
Yes
No
Yes

External examiner

No external examiner information available for this module.
Resources
Available via Moodle
Of 90 hours, 18 (20%) hours available to students:
67 hours not recorded due to service coverage or fault;
5 hours not recorded due to opt-out by lecturer(s), module, or event type.

 

Further information

Disclaimer: The University makes every effort to ensure that this information on its Module Directory is accurate and up-to-date. Exceptionally it can be necessary to make changes, for example to programmes, modules, facilities or fees. Examples of such reasons might include a change of law or regulatory requirements, industrial action, lack of demand, departure of key personnel, change in government policy, or withdrawal/reduction of funding. Changes to modules may for example consist of variations to the content and method of delivery or assessment of modules and other services, to discontinue modules and other services and to merge or combine modules. The University will endeavour to keep such changes to a minimum, and will also keep students informed appropriately by updating our programme specifications and module directory.

The full Procedures, Rules and Regulations of the University governing how it operates are set out in the Charter, Statutes and Ordinances and in the University Regulations, Policy and Procedures.