Mathematics for Computing
Computer Science and Electronic Engineering (School of)
Undergraduate: Level 4
Thursday 03 October 2019
Friday 26 June 2020
25 April 2019
Requisites for this module
BSC G610 Computer Games,
BSC G612 Computer Games (Including Year Abroad),
BSC I610 Computer Games (Including Placement Year),
BENGG420 Computer Networks,
BENGG421 Computer Networks (Including Year Abroad),
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),
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 GH56 Information and Communication Technology,
BSC GH5P Information and Communication Technology (Including Year Abroad),
BSC I102 Information and Communication Technology (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)
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.
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.
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
Propositions and logical operators. Truth tables. De Morgan's laws. Algebraic rules and inference. Logical identities, Tautologies and Contraditions
Fundamental Principle of Counting. Ordered and unordered selections. Selections with and without replacement. Permutations and combinations. Counting methods.
Set notation and basic concepts. Definition of sets through propositions. Set intersection, union and complementation. Venn diagrams. Cardinality. Cartesian products. Sample spaces and events.
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.
Lectures and Problem Classes.
Additional support is provided by the Talent Development Centre. Participants not having AS or A level mathematics should take a diagnostic test to see whether they would benefit from this extra support.
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
||Progress Test 1 - Week 6
||Progress Test 2 - Week 10
||Progress Test 3 - Week 18
||Progress Test 4 - Week 22
||Progress Test 5 - Week 25
||120 minutes during Summer (Main Period) (Main)
Module supervisor and teaching staff
Dr Nigel Newton
School Office, email: csee-schooloffice (non-Essex users should add @essex.ac.uk to create full e-mail address), Telephone 01206 872770
No external examiner information available for this module.
Available via Moodle
Of 88 hours, 77 (87.5%) hours available to students:
11 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).
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