# Foundations of Mathematics B

## Course summary

Course code: MATH1149
Level: 0
Credits: 30
School: Architecture, Computing and Hums
Department: Mathematical Sciences
Course Coordinator(s): Stephen Lakin

## Specification

### Aims

This course aims to strengthen the studentâ€™s mathematical background and provide a solid foundation in preliminary mathematics to prepare the student for embarking on level four mathematics. It aims to prepare students to progress onto the first year of the BSc Mathematics programme, by developing key skills in mathematics, statistics and decision mathematics. Throughout the intention will be to introduce students to practical applications of the course material, introducing elements of popular mathematics where possible.

### Learning outcomes

On successful completion of this course a student will be able to:
1
Demonstrate knowledge of key mathematical concepts and select appropriate methodology to solve problems.
2
Analyse, interpret and present data.
3
Understand and apply algorithms of decision mathematics.
4
Present mathematical and statistical arguments clearly and accurately.

### Indicative content

Number patterns (e.g. Pascalâ€™s Triangle); functions; binomial expansion; partial fractions; implicit differentiation; integration by inspection; statistics, including discrete random variables, handling data, interpretation and presentation of data, integration for expected values, Normal and Binomial distributions, correlation and regression; basic probability; algorithms for decision mathematics (e.g. sorting and bin packing algorithms); networks; vectors; complex numbers; sequences and series; parametric equations; real world problems (e.g. statistical case studies including considerations of sustainability); popular and contemporary topics in mathematics.

### Teaching and learning activity

Lectures, workshops, tutorials, seminar discussion, groupwork in varying proportions depending on the material to be covered.

### Assessment

Coursework Assignment 1 - 15%
LO - 1, 2, 4.
An individual assignment, assessing material from term 1.

Coursework Assignment 2 - 15%
LO - 1-4
An individual assignment, assessing material from term 2.

Exam - 70%
LO - 1-4
Final exam.

Nature of FORMATIVE assessment supporting student learning:
Weekly tutorial exercises