# KC3002 - Introductory Algebra and Statistics

## What will I learn on this module?

You will learn about elementary algebra and statistics necessary to embark on an engineering degree. You will learn the below highlighted topics which is indicative rather than prescriptive:

ALGEBRA:
You will learn:
• arithmetical operations on signed numbers: addition, subtraction, multiplication, division and exponentiation.
• square roots. Fractions. Removing brackets. The order of operations.
• substitution and evaluation of algebraic expressions.
• plotting linear and quadratic functions.
• simplification of algebraic expressions, removing brackets.
• multiplication of polynomials.
• exponents - including negative and fraction exponents.
• factorising expressions including quadratics, difference of squares.
• addition, subtraction, multiplication and division of algebraic fractions.
• solution of linear and quadratic equations - including simultaneous equations.
• the exponential and log functions.
• arithmetic and geometric sequences and series.
• the binomial series.

STATISTICS:
You will learn
• representation of various types of data.
• frequency distributions: histogram, frequency polygon.
• cumulative frequency, cumulative frequency polygon.
• the mean, the mode, median.
• range, mean deviation, variance, standard deviation.

# How will I learn on this module?

You will learn through a combination of lectures, exercise classes/seminars and directed learning. Lectures will introduce the main concepts required and provide suitable examples. Smaller group exercise classes/seminars will allow you to obtain help with specific algebraic or statistical problems.

Assessment consists of two pieces of coursework, weighting 30% and 70% of the final mark, respectively. The first piece is a statistical analysis of a dataset while the second piece focuses on elementary algebra skills and consists of a supervised open book coursework.

Coursework feedback will be provided individually and also generically to indicate where the cohort has a strong or a weaker answer to questions. You will receive both written and oral feedback from the coursework assessment, as well as formative feedback throughout the course, in particular during exercise classes/seminars.

# How will I be supported academically on this module?

You will be supported through lectures and exercise classes/seminars which will provide you with a formal teaching environment for core learning. In particular, exercise classes/seminars will provide you with opportunities for one-to-one interactions. Outside formal scheduled teaching, you will be able to contact the module team (module tutor, module demonstrator when assigned) either via email or the open door policy operated throughout the programme. Further academic support will be provided through technology-enhanced resources via the e-learning portal. You will also have the opportunity to give your feedback formally through periodic staff-student committees and directly to the module tutor at the end of the module delivery.

# What will I be expected to read on this module?

All modules at Northumbria include a range of reading materials that students are expected to engage with. The reading list for this module can be found at: http://readinglists.northumbria.ac.uk

# What will I be expected to achieve?

Knowledge & Understanding:
MLO1. Evaluate, simplify, factorise and manipulate a variety of algebraic expressions and sketch linear and quadratic functions and solve linear and quadratic equations.
MLO2. Use logarithms, exponents and statistical techniques appropriately.

Intellectual / Professional skills & abilities:
MLO3. Reproduce logical mathematical and statistical arguments and ccommunicate mathematical and statistical concepts at a fundamental level.

Personal Values Attributes (Global / Cultural awareness, Ethics, Curiosity) (PVA):
MLO4. Understand the need to work to and meet prescribed deadlines.
MLO5. Demonstrate time and resource management with support.

# How will I be assessed?

Summative Assessments

Summative assessment is by two pieces of coursework to test concepts and method at an appropriate level, for students with varied backgrounds in Mathematics and Statistics.

1. Coursework: closed book assessment, 2 hours (30%)
Module Learning Outcomes addressed: MLO1, 2
Feedback will be made available within 20 working days.

2. Coursework - closed book class test, 2 hours (70%)
Module Learning Outcomes addressed: MLO1, 2, 3, 4, 5
Feedback will be made available within 20 working days.

Formative Assessments

Students are given sheets of questions each week which are completed and discussed in weekly exercise classes/seminars with the module tutor/module demonstrator.

1. Problem-solving/computer-based workshops
Module Learning Outcomes addressed: MLO1, 2, 3

Feedback will take several forms, including verbal feedback during exercise classes/seminars, individual verbal and written comments on the coursework assessments delivered in class and via blackboard as well as collective feedback on the cohort performance.

None

None

# Module abstract

Problem solving through algebra and statistical analyses are important tools for technical professions. The introductory module aims to provide elementary algebra and statistics necessary to embark on a technical degree. Students will learn through a combination of lectures, exercise classes/seminars and directed learning. Lectures will introduce the main concepts required and provide suitable examples. Smaller group exercise classes/seminars will allow students to solve various algebraic or statistical problems.

# What will I learn on this module?

You will learn about elementary algebra and statistics necessary to embark on an engineering degree. You will learn the below highlighted topics which is indicative rather than prescriptive:

ALGEBRA:
You will learn:
• arithmetical operations on signed numbers: addition, subtraction, multiplication, division and exponentiation.
• square roots. Fractions. Removing brackets. The order of operations.
• substitution and evaluation of algebraic expressions.
• plotting linear and quadratic functions.
• simplification of algebraic expressions, removing brackets.
• multiplication of polynomials.
• exponents - including negative and fraction exponents.
• factorising expressions including quadratics, difference of squares.
• addition, subtraction, multiplication and division of algebraic fractions.
• solution of linear and quadratic equations - including simultaneous equations.
• the exponential and log functions.
• arithmetic and geometric sequences and series.
• the binomial series.

STATISTICS:
You will learn
• representation of various types of data.
• frequency distributions: histogram, frequency polygon.
• cumulative frequency, cumulative frequency polygon.
• the mean, the mode, median.
• range, mean deviation, variance, standard deviation.

### Course info

UCAS Code F232

Credits 20

Mode of Study 1 year full-time followed by a further 3 years full-time study or 4 years with a placement (sandwich)/study abroad

Department Mathematics, Physics and Electrical Engineering

Location City Campus, Northumbria University

City Newcastle

Start September 2020

## Mathematics and Physics Foundation Year

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