The University of Southampton
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# GENG0001 Mathematics A

## Module Overview

This module offers an introduction to the algebra and trigonometry that underpin engineering mathematics

### Aims and Objectives

#### Module Aims

• To present the mathematical methods within algebra, trigonometry and vectors which are the foundation of mathematics for Engineering & Physics. • Starting from basic rules, definitions and axioms, to enable you to build a working toolbox of mathematical techniques, concepts and facts for solving problems in pre-calculus mathematics

#### Learning Outcomes

##### Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• The mathematical methods within algebra, trigonometry and vectors which are the foundation of mathematics for Engineering and Physics
##### Transferable and Generic Skills

Having successfully completed this module you will be able to:

• Manage your own learning
• Apply problem solving techniques to familiar and unfamiliar problems
##### Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

• Select and apply appropriate mathematical methods to solve abstract and real-world problems.
• Show confidence in manipulating mathematical expressions, setting up and solving equations and constructing simple proofs

### Syllabus

Revision: Revision of numerical & algebraic skills. Equations and Polynomials: Set up and solve linear simultaneous equations in two and three unknowns using substitution and elimination. Set up and solve quadratic equations using factorisation and formula. Use discriminant of a quadratic equation to determine number and type of roots. Set up and solve pairs of simultaneous equations where one is linear and one is quadratic. Use the remainder theorem to find unknown coefficients for polynomials. Factorise and find any real roots of polynomials using the remainder theorem. Solution of linear and quadratic inequalities. Indices and Logarithms: Understand rational indices (positive, negative & zero) including indices expressed as fractions and use them to simplify algebraic expressions. Be able to express a number in the form x?10n where {x:1?x

### Learning and Teaching

#### Teaching and learning methods

Learning activities include • Individual work on examples, supported by tutorial/workshop sessions/extra support sessions. • Elements of the coursework module GENG0015, may support your learning in this module. Teaching methods include • Lectures, supported by example sheets. • Tutorials/Workshops/Maths support sessions. • Printed notes available through Blackboard and/or through your module lecturer.

TypeHours
Lecture36
Workshops36
Completion of assessment task2
Revision6
Preparation for scheduled sessions35
Follow-up work35
Total study time150

#### Resources & Reading list

Croft & Davison (1998). Mathematics for Engineers.

Stroud, Palgrave (2001). Engineering Mathematics.

Understanding Pure Mathematics Sadler & Thorning.

### Assessment

#### Assessment Strategy

External repeat students will have marks carried forward from the previous year for tests (5%), and therefore exam will contribute 95% of total assessment.

#### Summative

MethodPercentage contribution
Exam  (120 minutes) 95%
In-class Test 5%

#### Referral

MethodPercentage contribution
Exam 95%
Test marks carried forward 5%

#### Repeat Information

Repeat type: Internal & External

### Costs

#### Costs associated with this module

Students are responsible for meeting the cost of essential textbooks, and of producing such essays, assignments, laboratory reports and dissertations as are required to fulfil the academic requirements for each programme of study.

In addition to this, students registered for this module typically also have to pay for:

Please also ensure you read the section on additional costs in the University’s Fees, Charges and Expenses Regulations in the University Calendar available at www.calendar.soton.ac.uk.

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