Calculus

Summary module description:
This module covers core topics in calculus.

Aims:
To build on and develop students' understanding of pre-university mathematics, especially the calculus and to extend this into two or more dimensions. Techniques of solution of ordinary differential equations of the first and second order, and simple applications will also be presented. Emphasis will be placed on appreciation of the real world applications of such mathematics.

Assessable learning outcomes:
By the end of this module students are expected to be able to:

demonstrate problem-solving skills;
differentiate and integrate functions of single and multiple variables;
find and classify extrema of a function of single and multiple variables;
derive the Taylor polynomial of a function of single and multiple variables;
solve elementary first and second order differential equations;
model simple applications.

Additional outcomes:
Students will aquire some skill in using the computer package Maple, and an appreciation of some real world applications of their mathematics.

Outline content:
This module reinforces and extends the calculus topics encountered in school courses. Its objectives are to introduce some of the basic "tools of the trade" and to develop the skills recquired to solve a range of problems using these tools. Methods are developed intuitively rather than by means of rigorous proofs. Applications of the various techniques will be given.

Brief description of teaching and learning methods:
Lectures, supported by problem sheets and tutorials.

Summative Assessment Methods:
Written exam 70%
Set exercise 20%
Class test administered by School 10%

Other information on summative assessment:
One examination, one class test, and a number of assessed exercise sheets.

Formative assessment methods:
Problem sheets

Penalties for late submission:
The Module Convener will apply the following penalties for work submitted late, in accordance with the University policy.
where the piece of work is submitted up to one calendar week after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for the piece of work will be deducted from the mark for each working day (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.

Length of examination:
3 hours

Requirements for a pass:
A mark of 40% overall