 # Modiwl BIC-0004:Maths 3 (Further)

### Ffeithiau’r Modiwl

Rhedir gan Marketing: Bangor International College

10 Credyd neu 5 Credyd ECTS

Semester 1 a 2

Trefnydd: Mrs Laura McKenzie

### Amcanion cyffredinol

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

### Cynnwys cwrs

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

### Meini Prawf

#### da

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.

#### ardderchog

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

#### trothwy

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.

1. Evaluate the resultant effect of combined forces

2. Make logical deductions

3. Use vector methods in simple applications

4. Select appropriate mathematical methods for the solution of problems

5. Apply appropriate techniques to problems in unfamiliar situations

### Dulliau asesu

class test 1 15
class test 2 15
final exam 70

Oriau
Practical classes and workshops 50
Private study 50

• Rhifedd - Medrusrwydd wrth ddefnyddio rhifau ar lefelau priodol o gywirdeb
• Hunanreolaeth - Gallu gweithio mewn ffordd effeithlon, prydlon a threfnus. Gallu edrych ar ganlyniadau tasgau a digwyddiadau, a barnu lefelau o ansawdd a phwysigrwydd
• Hunanymwybyddiaeth & Ystyried - Bod yn ymwybodol o'ch cryfderau, gwendidau, nodau ac amcanion eich hun. Gallu adolygu ,cloriannu a myfyrio'n rheolaidd ar eich perfformiad eich hun ac eraill.

### Sgiliau pwnc penodol

• Demonstrate numeracy skills required as a basis for further studies in Economics, Financial Accounting and Management
• Demonstrate an understanding and ability to apply concepts, principles and theories underpinning physics, mathematics and computing to relevant situations
• Demonstrate numeracy skills required as a basis for future studies in Computing and Engineering programmes
• Apply numeracy skills required as a basis for further studies in the Social Sciences; such as using statistical models
• Demonstrate an understanding and ability to apply concepts, principles and theories underpinning physics, mathematics and computing to relevant situations
• Develop an awareness of the relevance of physics and mathematics to the field of engineering