MA12410 Mathematics by Computer
Introductory description
The module provides an overview of using the computer as a tool to provide intuition, guide and test hypotheses, enhance understanding and make predictions on mathematical questions. It particularly aims at learning how to use computerbased mathematical tools (chiefly Python) through individual and group work.
Module aims
The first aim is to learn Python. The second aim is to get experience work in a group on computer based mathematical project.
Outline syllabus
This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.
Term 1:
 Fundamentals of programming in Python: input/output, conditional statements, functions, loops, lists, arrays and plotting.
 Mathematics using Python: solving equations, properties of functions, visualisation of functions and data; elementary number theory and abstract algebra, sequences and series, vectors and matrices, symbolic algebra, differential equations, probability, statistics and data analysis.
Term 2:
Group project and presentation
Learning outcomes
By the end of the module, students should be able to:
 Learn foundations of programming in Python
 Use Python for: plotting data, curves and surfaces; vectors and matrices; symbolic algebra and solving equations, solving differential equations; statistics and data analysis.
 Learn how to manage a group project
 Develop research skills and practice presentation skills
Indicative reading list
 M Lutz, Learning Python, O'Reilly Media Inc., 3rd edition, 2007.
 JV Guttag, Introduction to Computation and Programming Using Python, MIT Press, 2nd edition, 2016.
View reading list on Talis Aspire
Subject specific skills
At the end of the module, students will be able to use software (currently Python but it may change in future, depending on the industry trends) to create simple programs and perform interactive analysis. They will understand rudimentary computer programming control structures and graph functions. They will use the computer to study various topics in mathematics including algebra, number theory, sequences and series, vectors and matrices, differential equations, probability, statistics and data analysis.
Transferable skills
The module will teach students basic computer skills and their relationship with mathematics. It will encourage them to use the computer as an exploratory tool research and equip them with foundational programming knowledge. They will also learn to work in a group.
Study time
Type  Required 

Lectures  4 sessions of 1 hour (4%) 
Online learning (scheduled sessions)  7 sessions of 1 hour (7%) 
Private study  89 hours (89%) 
Total  100 hours 
Private study description
Work on quizzes, work on assignments and independent work on the group project with some guidance.
Costs
No further costs have been identified for this module.
You do not need to pass all assessment components to pass the module.
Assessment group A2
Weighting  Study time  

Quizzes  20%  
3 moodle quizzes 

Individual Assignment  30%  
3 individual assignments submitted as Jupyter files 

Group Project  50%  
Assessment contains three subcomponents: group presentation (10%), group report (30%) and individual report (10%) 
Assessment group A3
Weighting  Study time  

Quizzes  10%  
Individual Assignment  40%  
Group Project  50% 
Assessment group R2
Weighting  Study time  

Reassessment tasks  assignment  100%  
Instead of a group project the students will need to submit an extended individual assignment related to both the Jupyter and project tasks 
Assessment group R3
Weighting  Study time  

Reassessment tasks  assignment  100% 
Feedback on assessment
Formative feedback available from the personal tutor throughout year. Assessment of earlier components is available during the year.
Courses
This module is Core for:
 Year 1 of UMAAG105 Undergraduate Master of Mathematics (with Intercalated Year)

UMAAG100 Undergraduate Mathematics (BSc)
 Year 1 of G100 Mathematics
 Year 1 of G100 Mathematics
 Year 1 of G100 Mathematics

UMAAG103 Undergraduate Mathematics (MMath)
 Year 1 of G100 Mathematics
 Year 1 of G103 Mathematics (MMath)
 Year 1 of G103 Mathematics (MMath)
 Year 1 of UMAAG106 Undergraduate Mathematics (MMath) with Study in Europe
 Year 1 of UMAAG1NC Undergraduate Mathematics and Business Studies
 Year 1 of UMAAG1N2 Undergraduate Mathematics and Business Studies (with Intercalated Year)
 Year 1 of UMAAGL11 Undergraduate Mathematics and Economics
 Year 1 of UECAGL12 Undergraduate Mathematics and Economics (with Intercalated Year)
 Year 1 of UMAAG101 Undergraduate Mathematics with Intercalated Year
This module is Option list C for:

UMAAGV17 Undergraduate Mathematics and Philosophy
 Year 1 of GV17 Mathematics and Philosophy
 Year 1 of GV17 Mathematics and Philosophy
 Year 1 of GV17 Mathematics and Philosophy