CE141-4-AP-CA:
Mathematics for Computing
2019/20
Computer Science and Electronic Engineering (School of)
Colchester Campus & Apprenticeship Location
Autumn & Spring
Undergraduate: Level 4
Current
Thursday 03 October 2019
Friday 20 March 2020
15
25 April 2019
Requisites for this module
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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
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.
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 |
Description |
Deadline |
Coursework weighting |
| Coursework |
Progress Test 1 - Week 6 |
|
20% |
| Coursework |
Progress Test 2 - Week 10 |
|
20% |
| Coursework |
Progress Test 3 - Week 18 |
|
20% |
| Coursework |
Progress Test 4 - Week 22 |
|
20% |
| Coursework |
Progress Test 5 - Week 25 |
|
20% |
| Exam |
Main exam: 180 minutes during Summer (Main 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
Reassessment
Module supervisor and teaching staff
Dr Nigel Newton, email: njn@essex.ac.uk.
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
No
No
No external examiner information available for this module.
Available via Moodle
Of 49 hours, 41 (83.7%) hours available to students:
8 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).
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