## Description

This module is part of the AHEAD suite of modules and provides underpinning knowledge in areas of Mathematics and Chemistry for students who may wish to undertake degree courses in various fields of Biological, Forensic or Food Sciences and Engineering.

## Aims

The aim of this Module is to provide the student with : A knowledge of the necessary Mathematical and Chemical principles needed to provide a solid foundation to allow entry into future degree level courses in the Biological, Forensic and Food Sciences and Civil Engineering.

## Learning Outcomes

By the end of this module the student should be able to:

1.  Master basic numeracy skills associated with the types of standard calculations likely to be encountered in science and engineering degrees.

2.  Understand why mathematical formulae are important in the interrogation of graphed data and be able to apply these where appropriate.

3.  Use various mathematical functions including: Linear, Quadratic and Trignometric types for suitable applications.

4.  Distinguish simple classifications of chemical compounds and relate their structures to their molecular properties.

5.  Appreciate the factors that determine how chemicals interact including acid-base and redox reaction concepts.

## Indicative Content

### 1 BASIC NUMERACY & STATISTICS

Calculation and manipulation of data using Percentages, Indices, Roots, Interest (Simple and Compound), volumes of solids, Frequency tables, Stem/Leaf Diagrams, Probability, and simple equations.

### 2 GRAPHS

Straight line graphs, Gradients, Equations of a straight line, Intercepts. Drawing graphs - Linear equations, Distances between points. Simultaneous linear equations. Trignometric formulae and use in triangles and graphs. Interpreting graphs of function.

### 3 BASIC ALGEBRA

Changing subject of a formulae. Factorisation - common factors, Difference of two squares, Trinomials. Solving simultaneous equations by Substitution and Elimination.

### 4 FUNCTIONS

Introduction to functions - Linear, Quadratic and Trignometric function. Quadratic functions and solving quadratic equations. Factorising Quadratic equations. Trignometric functions - Sine, cosine and tangent. Trignometric formulae.

### 5 DIFFERENTIATION

Introduction to Calculus - Differentiation. Applications and Examples.

### 6 STRUCTURE OF ATOMS AND BONDING

Atomic structure, electron energy levels and orbital shape, The basis of the periodic table. Atomic parameters and their trends. Compounds, types of bonding, intermolecular forces and their roles. Polar and non polar molecules. Importance of hydrogen bonding.

### 7 QUANTITATIVE CHEMISTRY AND MEASUREMENT

Numbers and Units. SI system. Scientific notation. Moles and molar concentrations. Mass-moles and moles- mass calculations. Percentage compositions. Calculating empirical formulae. Balanced equations.

### 8 CHEMICAL REACTION CLASSIFICATION

Fundamental concepts of precipitation, acid-base and redox reactions. Estimating pH of solutions. Introduction to weak acids and bases. Chemical Equilibria. Le Chatelier's principle. Reaction rates. Effect of Temp and chemical concentrations on rates of chemical reactions. Enthalpy. Heat capacity and energy changes.

## Statement on Teaching, Learning and Assessment

The Mathematics and Chemistry elements of the module will be delivered and assessed separately. Both however will be delivered by a series of lectures and supporting tutorials, with online resources via Blackboard designed to provide underpinning knowledge of both chemistry and mathematics and support their application to a range of science and engineering disciplines. Assessment will be by coursework (Chemistry laboratory report) and an examination for Mathematics. It is envisaged that students will work through a tutorial/online resource away from class and that the start of the next session will involve a review of the material before a new topic is considered. Students will also be able to self-test using Blackboard online formative assessments in each subject prior to summative assessments. The chemistry lab report will be based upon a laboratory session where the students will undertake an experiment to generate data which must be graphically presented and interpreted, with additional questions to address regarding the background theory. The feedback week session will be used for feedback on a draft chemistry lab report plus mathematics feedback on a practice test taken before the session. The revision week session will take the form of a mock mathematics exam, with in class feed forward directed to the exam.

## Teaching and Learning Work Loads

 Total 200 Lecture 6 Tutorial/Seminar 22 Supervised Practical Activity 2 Unsupervised Practical Activity 0 Assessment 50 Independent 120

## Guidance notes

Credit Value – The total value of SCQF credits for the module. 20 credits are the equivalent of 10 ECTS credits. A full-time student should normally register for 60 SCQF credits per semester.

## Disclaimer

We make every effort to ensure that the information on our website is accurate but it is possible that some changes may occur prior to the academic year of entry. The modules listed in this catalogue are offered subject to availability during academic year 2019/10 , and may be subject to change for future years.