MA181-4-SP-CO:
Discrete Mathematics

The details
2020/21
Mathematics, Statistics and Actuarial Science (School of)
Colchester Campus
Spring
Undergraduate: Level 4
Current
Sunday 17 January 2021
Friday 26 March 2021
15
14 July 2020

 

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

 

(none)

Key module for

BSC L1G2 Economics and Mathematics (Including Placement Year),
BSC LG11 Economics and Mathematics,
BSC LG18 Economics and Mathematics (Including Foundation Year),
BSC LG1C Economics and Mathematics (Including Year Abroad),
BSC G100 Mathematics,
BSC G102 Mathematics (Including Year Abroad),
BSC G103 Mathematics (Including Placement Year),
BSC G104 Mathematics (Including Foundation Year),
MMATG198 Mathematics,
BSC 5B43 Statistics (Including Year Abroad),
BSC 9K12 Statistics,
BSC 9K13 Statistics (Including Placement Year),
BSC 9K18 Statistics (Including Foundation Year),
BSC G1G4 Mathematics with Computing (Including Year Abroad),
BSC G1G8 Mathematics with Computing (Including Foundation Year),
BSC G1GK Mathematics with Computing,
BSC G1IK Mathematics with Computing (Including Placement Year),
BSC G1F3 Mathematics with Physics,
BSC G1F4 Mathematics with Physics (Including Placement Year),
BSC GCF3 Mathematics with Physics (Including Year Abroad),
BSC I1G3 Data Science and Analytics,
BSC I1GB Data Science and Analytics (Including Placement Year),
BSC I1GC Data Science and Analytics (Including Year Abroad),
BSC I1GF Data Science and Analytics (Including Foundation Year),
MSCIG199 Mathematics and Data Science

Module description

This module gives an introduction to the mathematics of sets and relations, and also mathematicsal proof techniques, including prrof by induction. For students outside of the Department, an appropriate A level in Mathematics (or equivalent) is required for this module. If you are unsure whether you meet this criteria please contact mathsug@essex.ac.uk before attempting to enrol.

Module aims

This module introduces two essential tools needed to study mathematics: sets (including relations) and logic (including proof by induction).

Module learning outcomes

On completion of this module students should have a basic knowledge of sets and relations together with an appreciation of mathematical proof techniques, including proof by induction.

Module information

Syllabus

This module introduces sets and relations on sets, including composition of binary relations, equivalence relations and partial orders, countable and uncountable sets, proof by induction, recursion and logic.

Learning and teaching methods

Teaching will be delivered in a way that blends face-to-face classes, for those students that can be present on campus, with a range of online lectures, teaching, learning and collaborative support.

Bibliography

  • Epp, Susanna S. (2019) Discrete mathematics with applications, Pacific Grove: Cengage.

The above list is indicative of the essential reading for the course. The library makes provision for all reading list items, with digital provision where possible, and these resources are shared between students. Further reading can be obtained from this module's reading list.

Assessment items, weightings and deadlines

Coursework / exam Description Deadline Coursework weighting
Coursework   Assignment 1     
Coursework   Assignment 2     
Exam  Main exam: 150 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

Coursework Exam
20% 80%

Reassessment

Coursework Exam
20% 80%
Module supervisor and teaching staff
Dr Georgios Amanatidis, email: georgios.amanatidis@essex.ac.uk.
Dr Georgios Amanatidis, Dr Alexei Vernitski & Professor Chris Saker
Dr Georgios Amanatidis (georgios.amanatidis@essex.ac.uk), Dr Alexei Vernitski (asvern@essex.ac.uk), Professor Chris Saker (cjsake@essex.ac.uk)

 

Availability
Yes
No
No

External examiner

No external examiner information available for this module.
Resources
Available via Moodle
Of 1873 hours, 0 (0%) hours available to students:
1873 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).

 

Further information

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