## CH1M2-Mathematics M2

Module Provider: Chemistry
Number of credits: 10 [5 ECTS credits]
Level:4
Terms in which taught: Spring / Summer term module
Pre-requisites:
Non-modular pre-requisites: This module is COMPULSORY for students on the BSc Chemistry programme who have an A-level pass at grade C-E in Mathematics and OPTIONAL for those with a grade A-B
Co-requisites:
Modules excluded: CH1M Chemistry M
Module version for: 2017/8

Module Convenor: Dr Ann Chippindale

Summary module description:
«p»A mathematics course for chemistry students«/p»

Aims:
To provide students with more advanced mathematical tools needed for the chemistry degree programme.

Assessable learning outcomes:
Students should be able to perform simple calculations on the topics named below both in a mathematical context and as applied in appropriate chemical contexts.

Students will improve their numeracy skills.

Outline content:
Trigonometry: useful relationships, Pythagoras’ theorem, sine rule, cosine rule; properties of important functions, curve sketching, y = cos x, y = sin x, y = tan x etc; radians and degrees, Pi.
Introduction to complex (imaginary) numbers, the complex conjugate.
Further differentiation: specific functions, second differential coefficient for maxima, minima and inflections, applications, partial differentiation, selected methods e.g. chain rule and product rule.
Integration: definition, graphical interpretation, relation to differentiation, definite and indefinite integrals, integration by substitution.
Simple differential equations: method of separation of variables applied to first and second order rate processes (reaction kinetics, population growth).
Basic statistics required for interpretation of data: mean, standard deviation and variance; confidence intervals; significance testing for evidence of systematic error.
Vectors: calculating magnitude and directions of vectors; vector addition and subtraction; vectors multiplied by scalars; dot product (scalar product) and its use to find the angle between two vectors. Students will learn to carry out calculations in these areas on vectors in two and three dimensions.

Brief description of teaching and learning methods:
One one-hour lecture together with one two-hour workshop on related material per week in Spring term. In addition, two workshops at the beginning of the Summer Term.

Contact hours:
 Autumn Spring Summer Lectures 9 Supervised time in studio/workshop 20 5 Guided independent study 40 26 Total hours by term 69.00 31.00 Total hours for module 100.00

Summative Assessment Methods:
 Method Percentage Written exam 80 Class test administered by School 20

Other information on summative assessment:
Students will attend workshops on the material covered in this module. Attendance is compulsory but not all workshops will contribute to the assessment.

Relative percentage of coursework: One Class Test 20%

Formative assessment methods:

Penalties for late submission:
The Module Convenor 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:
1.5 hours

Requirements for a pass:
A mark of 40% overall.

Reassessment arrangements:

Reassessment will be by examination only worth 100%.