 Academic Registry
Programme & Unit Catalogues

## MA10276: Programming, foundations and connections

[Page last updated: 05 August 2021]

Owning Department/School: Department of Mathematical Sciences
Credits: 12 [equivalent to 24 CATS credits]
Notional Study Hours: 240
Level: Certificate (FHEQ level 4)
Period:
Assessment Summary: CW 100%
Assessment Detail:
• Coursework 1 (CW 25%)
• Coursework 2 (CW 25%)
• Coursework 3 (CW 25%)
• Coursework 4 (CW 25%)
Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Requisites: Students must have a grade A in A-level Mathematics or equivalent in order to take this unit.
While taking this module you must take MA10207 AND take MA10209
Aims: The unit is split into two parts: Programming; and Foundations and Connections.

Aims for Programming: To teach Python-based programming and sustainable software engineering for mathematics; design and analyse algorithms.

Aims for Foundations and Connections: To improve the ability of the students to read and write mathematics well; to enable them to develop effective study skills for individual and group working; to introduce students to the beauty, the ubiquity and the importance of university-level mathematics.

Learning Outcomes: After taking the programming part of this unit, students should be able to:
* Write pseudo-code and implement algorithms in Python;
* Apply modern programming paradigms to mathematical problems;
* Demonstrate understanding of principles of software design;
* Analyse the complexity of algorithms;
* Manipulate and analyse data;

After taking the foundations and connections part of this unit, students should be able to:
* Read and manipulate logical statements about mathematical objects;
* Determine the validity of mathematical arguments;
* Formulate and write simple mathematical proofs using construction, contradiction, induction;
* Evaluate and improve upon the clarity of written mathematical arguments;
* Work independently, through planned and effective reading and practice;
* Work in a group, through effective discussion and collaboration;
* Discuss the breadth of modern mathematical research;
* Discuss the importance of mathematics in work and society;
* Present mathematics verbally;
* Formulate constructive feedback for others, and act on feedback received.

Skills: Written and Spoken Communication (T/F A), Reasoning (T/F A), Numeracy (T/F A), Problem Solving (T/F A), Information Technology (T/F A)

Content: Programming:
1. Fundamentals of Python programming
A. Introduction to programming:
* From Specification through algorithms to implementation.
B. Building elements:
* Variables and scope
* Basic data types
* Arrays and strings
C. Control structures:
* Conditionals
* Loops
* Functions and subroutines
* Iteration and recursion
2. Object oriented programming
* Advanced data types
* Encapsulation and interfaces
* Inheritance and abstract classes
3. Understanding and analysing algorithms
A. Common design patterns such as
* recursion, divide-and-conquer and dynamic programming
B. Complexity analysis
* Complexity of common algorithms
* Big-O notation
* Master-Theorem for divide-and-conquer algorithms
4. Sustainable software engineering
* Program design and modularisation
* Testing and systematic debugging
* Version Control
5. Working with data
* data types for mathematical objects
* libraries for manipulating and visualising data

Foundations and Connections:
* Study skills for mathematicians.
* Thinking logically.
* Introduction to definitions, theorems and proofs.
* Techniques of proof, including construction, contradiction, induction.
* Mathematical research at the University of Bath.
* Applications of degree-level mathematics in industry and society.
* Mathematics outreach and advocacy.

Programme availability:

#### MA10276 is Compulsory on the following programmes:

Department of Mathematical Sciences
• USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 1)
• USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 1)
• USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 1)
• USMA-AFB13 : BSc(Hons) Mathematics (Year 1)
• USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 1)
• USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 1)
• USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 1)
• USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 1)
• USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 1)
• USMA-AFM14 : MMath(Hons) Mathematics (Year 1)
• USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 1)
• USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 1)

 Notes: This unit catalogue is applicable for the 2021/22 academic year only. Students continuing their studies into 2022/23 and beyond should not assume that this unit will be available in future years in the format displayed here for 2021/22. Programmes and units are subject to change in accordance with normal University procedures. Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules. Find out more about these and other important University terms and conditions here.