# ESSENTIAL MATHEMATICS - 2025/6

Module code: PHY1034

## Module Overview

This module is designed to provide essential underpinning skills for the whole programme in the mathematics needed by physical scientists. The mathematics units of assessment are delivered on a supervised self-study basis - to allow flexible learning patterns to students with different mathematics skills and knowledge levels at University entry. The delivery method is by supported workshop classes and occasional lectures to introduce new topics, as required. The Essential Mathematics module consolidates and enhances mathematical skills to beyond (A2) Advanced Level standard, providing the mathematical foundations needed for subsequent Level FHEQ 4 Mathematics components and for the introductory Physics modules at Level FHEQ 4.

### Module provider

Mathematics & Physics

YUKSEL Esra (Maths & Phys)

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

Independent Learning Hours: 74

Lecture Hours: 22

Tutorial Hours: 22

Guided Learning: 10

Captured Content: 22

Semester 1

None.

## Module content

Indicative content includes:

Mathematics units:

• Finite and infinite series

• Introduction to calculus: limits, continuity, differentiability, asymptotes, Taylor series

• Analysis – elements of differentiation, integration function investigation

• Introducing complex numbers representation

• Complex algebra and Demoivre's theorem

• Matrices

• Determinants and their properties

• Vector spaces (linear independence, basis, dimensions)

• Linear transformations (representations as matrices)

• Orthogonality

## Assessment pattern

Assessment type Unit of assessment Weighting
Online Scheduled Summative Class Test BI-WEEKLY TAKE HOME QUIZZES 40
Examination Online End of Semester Examination - 2 hours 60

N/A

## Assessment Strategy

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

• recall of subject knowledge

• ability to apply mathematical knowledge to unseen problems of a nature similar to those studied inclass

Thus, the summative assessment for this module consists of:

• five take home online quizzes.

• one final mathematics online exam of 2 hours duration.

Formative assessment and feedback

The supervised sessions involve academics and postgraduate demonstrators who engage with the students on a one-to-one basis in a classroom-like setting to provide verbal feedback. There will be bi-weekly formative Mathematics tests (quizzes) on SurreyLearn with instant results available to the student.

## Module aims

• To provide the background knowledge and practice and to build greater confidence in the language, notation and use of underpinning mathematical skills to a beyond Advanced level (A2) standard in algebra, functions, real and complex numbers, and differential and integral calculus.

## Learning outcomes

 Attributes Developed 001 Consistently apply mathematical methods and techniques introduced at A-level, especially integration and differentiation, and understand and make first applications of complex numbers and concepts and properties of series. KCT

Attributes Developed

C - Cognitive/analytical

K - Subject knowledge

T - Transferable skills

P - Professional/Practical skills

## Methods of Teaching / Learning

The learning and teaching strategy is designed to:

• equip students with subject knowledge

• develop skills in applying subject knowledge to physical situations

• provide a basis in mathematics that can be used as a basis for deeper understanding of physics, and for further study of mathematics

The learning and teaching methods include:

• Combined lectures and tutorials. In addition to lectures, tutorials will take place introducing, commenting and advising the students on the different topics according to the order above in 'Module contents'. Formative feedback is provided via tutorial questions which can be attempted.

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.

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: Throughout this module, students will actively integrate digital tools and technologies into the learning process. This includes a blend of face-to-face and online learning, the utilization of online resources, and the cultivation of students' skills in articulating mathematical concepts through monitored discussion boards. Additionally, links to internet-based learning materials via Surrey Learn will complement the learning experience. Both exams and coursework are conducted online.

Employability This module introduces fundamental math skills essential for diverse professional environments, including both industry and academia. Through problems in module notes, tutorials, and assessed-unassessed coursework, learners not only gain crucial mathematical competencies but also develop a set of transferable skills highly prized in workplaces. The module enhances students' capacity to express mathematical concepts clearly and nurtures strong problem-solving skills, enabling them to confidently address real-world challenges.

Resourcefulness and Resilience: Problem-solving is a key component of this module. Throughout the course and assessed coursework, students are encouraged to approach mathematical challenges with inventive solutions, fostering a mindset that values analytical thinking, innovation, and adaptability. The module provides a supportive environment for learners to overcome obstacles by encouraging participation in lectures and tutorials and inviting questions. This resilience extends to challenges in their broader academic and professional journeys.

## Programmes this module appears in

Programme Semester Classification Qualifying conditions
Physics BSc (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Physics with Astronomy BSc (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Physics with Nuclear Astrophysics BSc (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Physics with Quantum Computing BSc (Hons) 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Physics with Nuclear Astrophysics MPhys 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Physics with Astronomy MPhys 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Physics MPhys 1 Compulsory A weighted aggregate mark of 40% is required to pass the module
Physics with Quantum Computing MPhys 1 Compulsory A weighted aggregate mark of 40% is required to pass the module

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 2025/6 academic year.