Mathematics 1 (Pure)
Run by Marketing: Bangor International College
10.000 Credits or 5.000 ECTS Credits
Semester 1 & 2
Organiser: Mrs Laura McKenzie
Overall aims and purpose
1) To introduce students from a range of backgrounds to the mathematical knowledge and aptitude that they will be expected to deploy and demonstrate in their degree studies 2) To ensure that students understand and can use appropriate mathematical language and understand mathematical notation, conventions and units 3) To prepare students for the development of mathematical applications in science, engineering and computer science
This module provides the appropriate foundation in mathematical skills to enable students to be successful in their planned undergraduate studies in the fields of science, 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 in their science, engineering or computer science first degree programme. The main topics covered are: a) Algebra: Review of basic work. Identities. Equations and inequality. Quadratic equations, quadratic functions. Polynomials, remainder theorem, principle of undetermined coefficients. Binomial theorem for positive integers. Rational functions. Simultaneous equations (at least one linear). Curve sketching. Indices and logarithms. Arithmetic and geometric series. b) Differential Calculus: Functions and limits. Differentiation of algebraic functions, chain rule. Logarithmic and exponential functions. Derivative as a rate of change. Tangents, normal. Turning points. Integration as the inverse of differentiation; representation as an area. c) Set Theory and Probability: Algebra of sets, Venn diagrams. Permutations. Relative frequency and probability. Samples. Mutual exclusivity. Laws of probability. d) Experimental Laws: Linear and non-linear relations.
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.
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
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.
- Manipulate mathematical expressions
- Apply mathematical methods and techniques to problem solving at a foundation level
- Demonstrate an understanding of mathematical terminology, notation, conventions and units
- Make inferences from their interpretation of mathematical information
- Demonstrate an ability to interpret in mathematical terms verbal, graphical and tabular information
Teaching and Learning Strategy
|Practical classes and workshops||
The tutors in the college aim to provide a programme of study that covers relevant content material at NQF level 3.
The college uses a wide variety of methods in its teaching delivery. Students will be given an opportunity to develop skills through class based lessons and tutorials, as well as other interactive methods including use of technology and student directed learning. There is an explicit attempt to raise student awareness of the need to use independent study time. We focus on the concept of independent learning from the induction stage and this is reinforced in all classes.
The lessons are supported through the English language module providing an opportunity for students to build confidence and competence in using the sessions to achieve the learning outcomes of the course.
Students will have access to online resources and additional tasks set as homework or groupwork. Tutors will be available through blackboard and in the college to support. Students will also be encouraged to form peer to peer study groups
- Literacy - Proficiency in reading and writing through a variety of media
- 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.
Resource implications for students
Core Text Book
Core Bostock, L and Chandler, S (2000) Core Mathematics for Advanced Level 3rd edition Nelson Thornes Ltd, Cheltenham
Recommended Emmanuel, R et al (2004) Core Mathematics Longman
Courses including this module
Compulsory in courses:
- H61B: BEng Computer Sys Engineering (4yr with Incorp Foundation) year 0 (BENG/CSE1)
- H62B: BEng Electronic Engineering (4yr with Incorp Foundation) year 0 (BENG/ELE1)
- I11B: BSc Computer Information Systems (4 year with Incorp Found) year 0 (BSC/CIS1)
- IN0B: BSc Computer Information Sys for Bus (4 year w Incorp Found) year 0 (BSC/CISB1)
- G40B: BSc Computer Science (4 year with Incorporated Foundation) year 0 (BSC/CS1)
- H64B: BSc Computer Sys Engineering (4yr with Incorp Foundation) year 0 (BSC/CSE1)
- H63B: BSc Electronic Engineering (4yr with Incorp Foundation) year 0 (BSC/ELE1)