## ED2SS1-Subject Specialism 2: Mathematics – Exploring progression

Module Provider: Institute of Education
Number of credits: 20 [10 ECTS credits]
Level:5
Terms in which taught: Spring / Summer term module
Pre-requisites:
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Current from: 2017/8

Module Convenor: Mr Marc Jacobs

Type of module:

Summary module description:
A deep understanding of progression lies at the heart of subject knowledge for effective teaching. This module focuses on the importance of progression at post-A level, specifically through calculus. Building on the various types of proof encountered in ED1SS1, both aspects of calculus that will be familiar after A level maths, as well as those that are new will be explored and explained.

Aims:
• To deepen and extend mathematical subject knowledge
• To gain insight into key principles of calculus as well as its applications, both theoretical and practical
• To further enhance students’ enjoyment of and confidence in using mathematics and increase their ability to solve problems

Assessable learning outcomes:
On successful completion of the module, students will be able to:
• apply theorems on limits of functions
• apply techniques of differentiation and integration in a variety of contexts
• find Maclaurin series of various functions
• apply and analyse numerical integration techniques
• manipulate complex numbers

Students will gain an appreciation of the importance of the limit concept in the progression of ideas related to both the theory and practice of calculus. Their subject knowledge will be secured as key concepts are explored to both consolidate ideas from A level maths, geometrical ideas, as well as new applications.

Outline content:
This module will involve studying calculus

- limits of functions
- differentiation: from first principles; using rules; maxima/minima problems
- integration: from first principles; using rules; applications to areas and volumes
- numerical integration: trapezium and Simpson’s rule and analysis
- Maclaurin series
- elementary functions
- complex numbers

Brief description of teaching and learning methods:

This module will be delivered in interactive sessions, which include lecturing, discussion and practical activities. Sessions will require some pre-reading, and students should be prepared to contribute their views and work collaboratively. Working on problem sheets both independently and collaboratively will be an integral element of the module, alongside more extended investigation and enquiry.

Reading List: Single Variable Calculus: Early Transcendentals (2nd Edition) William L. Briggs

Contact hours:
 Autumn Spring Summer Lectures 0 50 0 Tutorials 0 5 5 Guided independent study 0 140 0 Total hours by term 0.00 195.00 5.00 Total hours for module 200.00

Summative Assessment Methods:
 Method Percentage Written assignment including essay 50 Set exercise 50

Summative assessment- Examinations:
n/a

Summative assessment- Coursework and in-class tests:

Selected problem sheets and investigations (2,500 words equivalent).

Formative assessment methods:
Throughout the module students will complete problem sheets to provide students with regular formative feedback on their work.

Penalties for late submission:
The Module Convener will apply the following penalties for work submitted late:

• where the piece of work is submitted after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for that piece of work will be deducted from the mark for each working day[1] (or part thereof) following the deadline up to a total of five working days;
• where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

• The University policy statement on penalties for late submission can be found at: http://www.reading.ac.uk/web/FILES/qualitysupport/penaltiesforlatesubmission.pdf
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

Assessment requirements for a pass:
40% aggregate

Reassessment arrangements:
Resubmission of a comparable assignment during the summer resit period.