ESSENTIAL MATHEMATICS - 2023/4

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

Module Leader

GINOSSAR Eran (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:

 

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

Alternative Assessment

None.

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
  


• 
  ability to interpret and write short computer programs
  

 

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 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

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:

• 
  44h of combined lectures and tutorials as 4h/week x 11 weeks. 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.

Reading list

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

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 2023/4 academic year.