ESSENTIAL MATHEMATICS - 2027/8

Module Overview

This module provides essential mathematical skills required for the physical sciences programme. It develops the underpinning mathematics needed by physical scientists and supports students with different levels of mathematical preparation on entry to the University. The mathematics units are delivered through supervised self study to allow flexible learning patterns. Teaching is supported by tutorial classes where students receive guidance and feedback while developing their mathematical skills.

The module consolidates and extends mathematical knowledge beyond Advanced Level A2 standard, including algebra, functions, complex numbers, series, calculus, and basic matrix methods. It provides the mathematical foundation required for subsequent Level FHEQ 4 mathematics components and for introductory physics modules at Level FHEQ 4.

Module provider

Mathematics & Physics

Module Leader

YUKSEL Esra (Maths & Phys)

Number of Credits: 15

ECTS Credits: 7.5

Framework: FHEQ Level 4

Module cap (Maximum number of students): N/A

Module Availability

Semester 1

Prerequisites / Co-requisites

None.

Module content

Indicative content includes the following mathematics units:

• Complex numbers and their representation
• Algebra of complex numbers
• Series, including definitions and basic concepts
• Calculus, including fundamental concepts of differentiation and integration
• Matrix algebra and basic matrix operations
• Vector spaces
• Functions of matrices, transpose and conjugates
• Trace and determinant of a matrix
• Inverse of a matrix and special matrices

Assessment pattern

Alternative Assessment

N/A

Assessment Strategy

The assessment strategy is designed to provide students with the opportunity to demonstrate:

• recall of subject knowledge
• the ability to apply mathematical knowledge to unseen problems of a nature similar to those studied in class

Thus, the summative assessment for this module consists of:

• five bi-weekly take-home online quizzes (5% each, 25% in total)
• one final 2-hour closed-book, invigilated written examination (75%)

Formative assessment and feedback

Supervised sessions involve academics and postgraduate demonstrators who engage with students on a one-to-one basis in a classroom setting to provide verbal feedback. In addition, bi-weekly mathematics quizzes on SurreyLearn provide students with opportunities for practice and regular feedback, with results available shortly after completion.

Module aims

• To provide the background knowledge and practice required to develop confidence in the language, notation, and application of key mathematical skills beyond Advanced Level (A2) standard, including algebra, functions, real and complex numbers, and differential and integral calculus.

Learning outcomes

Methods of Teaching / Learning

Methods of Teaching and Learning

The learning and teaching strategy is designed to:

• equip students with essential mathematical knowledge
• develop the ability to apply mathematical methods to problems relevant to the physical sciences
• provide a mathematical foundation that supports the study of introductory physics and further study of mathematics

The learning and teaching methods include:

Combined lectures and tutorials. In addition to lectures, tutorials will introduce topics, provide explanations and comments, and offer guidance to students on the different topics listed above in the Module Contents. Formative feedback is provided through tutorial questions that students can attempt.

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

Reading list

https://readinglists.surrey.ac.uk
Upon accessing the reading list, please search for the module using the module code: PHY1034

Other information

The School of Mathematics and Physics is committed to developing graduates with strengths in Employability, Digital Capabilities, Global and Cultural Capabilities, Sustainability, and Resourcefulness and Resilience. This module is designed to allow students to develop knowledge, skills, and capabilities in the following areas:

Digital Capabilities: Students use digital tools and online resources throughout the module, including SurreyLearn for accessing materials and participating in monitored discussion boards where mathematical ideas can be communicated. Online quizzes and coursework further support the development of students¿ digital skills.

Employability: This module develops fundamental mathematical skills relevant to both industry and academia. Through problems in module notes, tutorials, and coursework, students gain core mathematical knowledge while developing transferable skills such as problem solving and the clear communication of mathematical ideas.

Resourcefulness and Resilience: Problem solving is a central part of this module. Through tutorial exercises and assessments, students develop analytical thinking and persistence when approaching mathematical challenges. The module provides a supportive learning environment where students are encouraged to ask questions and seek guidance, helping them build confidence and resilience in their academic work.

Programmes this module appears in

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2027/8 academic year.