Module BIC-0004:Maths 3 (Further)

Module Facts

Run by Marketing: Bangor International College

10 Credits or 5 ECTS Credits

Semester 3

Organiser:

Overall aims and purpose

1) To build on the basic knowledge and techniques acquired in prior studies of Mathematics 2) To provide further development of methods and techniques applicable to studies at level 1 and beyond in degree studies in engineering and computer science

Course content

This module provides the appropriate foundation in mathematical skills to enable students to be successful when they progress to their undergraduate studies in engineering and computer science. Many students will come from educational systems where there has been a strong emphasis placed on Mathematics but it cannot be assumed that this will apply more generally. It is important therefore that the module ensures the strong level of Mathematics required to cope with level 4 and beyond on an engineering or computer science first degree programme. The main topics covered are: Algebra: Binomial expansion of (1+x)n where n is rational; Partial fractions; Functions – Domain and range; Composition of functions; Inverse functions; The modulus function Co-ordinate Geometry: The Circle: Cartesian and parametric equations and conversion between the two forms Trigonometry: The formulae sin, cos and tan (A + or – B); Double angle formulae; Rsin and Rcos; Proving identities; Solving equations; Radian measure, arc length and area. Differentiation: Trigonometric functions including sums, differences, products, quotients, exponential and logarithmic functions; Implicit and parametric functions; Applications to growth and decay Integration: Integration using trig identities, by substitution, partial fractions, and by parts, exponential and logarithmic functions; Use related to volumes of revolution; Solution of first-order differential equations with separable variables Vectors and Vector Methods: In 2 and 3 dimensions; magnitude of a vector; vector addition and multiplication by a scalar; Geometrical interpretation; Position vectors; Vector equations of lines; Scalar Product; its use to find angle between 2 lines and calculating work done by a force (for use in Conservation of Energy) Forces as fixed vectors: Lines of action; Systems of coplanar forces acting on rigid bodies; Parallel forces, moments and couples; Intuitive idea of the Centre of Gravity; Equilibrium of rigid bodies; parallel forces in equilibrium; three force problems; general conditions for equilibrium

Assessment Criteria

good

Student has demonstrated sound, basic knowledge and technique in tackling many of the topics covered in the module and so shown clear suitability for undergraduate degree studies.

excellent

Student has performed effectively in all aspects of the module and has demonstrated a high level of suitability for and can proceed with confidence to undergraduate degree studies

threshold

Student has coped sufficiently well with some aspects of the module to achieve the minimum level of pass to allow progression onto an undergraduate degree programme.

Learning outcomes

1. Evaluate the resultant effect of combined forces

2. Make logical deductions

3. Use vector methods in simple applications

4. Apply appropriate techniques to problems in unfamiliar situations

5. Select appropriate mathematical methods for the solution of problems

Assessment Methods

Type Name Description Weight
class test 1 15
class test 2 15
final exam 70

Teaching and Learning Strategy

Hours
Practical classes and workshops 50
Private study 50

Transferable skills

• Numeracy - Proficiency in using numbers at appropriate levels of accuracy
• Computer Literacy - Proficiency in using a varied range of computer software
• Self-Management - Able to work unsupervised in an efficient, punctual and structured manner. To examine the outcomes of tasks and events, and judge levels of quality and importance
• Critical analysis & Problem Solving - Able to deconstruct and analyse problems or complex situations. To find solutions to problems through analyses and exploration of all possibilities using appropriate methods, rescources and creativity.
• Self-awareness & Reflectivity - Having an awareness of your own strengths, weaknesses, aims and objectives. Able to regularly review, evaluate and reflect upon the performance of yourself and others

Subject specific skills

1. Demonstrate an understanding and ability to apply concepts, principles and theories underpinning physics, mathematics and computing to relevant situations
2. Demonstrate knowledge and use of useful software packages
3. Develop an awareness of the relevance of physics and mathematics to the field of engineering
4. Demonstrate numeracy skills required as a basis for future studies in Computing and Engineering programmes

Core Text Book