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ED2SS1 - Subject Specialism 2: Mathematics ô€€– Exploring progression

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ED2SS1-Subject Specialism 2: Mathematics ô€€– Exploring progression

Module Provider: Institute of Education
Number of credits: 20 [10 ECTS credits]
Level:5
Terms in which taught: Spring term module
Pre-requisites:
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Current from: 2021/2

Module Convenor: Mr Marc Jacobs
Email: m.l.jacobs@reading.ac.uk

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 contextsÌý

• find Maclaurin series of various functions

• apply and analyse numerical integration techniques

• manipulate complex numbers


Additional outcomes:
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 calculusÌý




  • 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 analysisÌý

  • 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.



ÌÇÐÄ̽»¨ List: Single Variable Calculus: Early Transcendentals (2nd Edition) W illiam L. Briggs


Contact hours:
<
Ìý Autumn Spring Summer
Lectures 0 24 0
Tutorials 0
Guided independent study: 0 176 0
Ìý Ìý Ìý Ìý
Total hours by term 0 200 0