BSc Mathematics with an Integrated Foundation Year / Course details
Year of entry: 2022
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Course unit details:
|Unit level||Level 1|
|Teaching period(s)||Semester 1|
|Offered by||Department of Mathematics|
|Available as a free choice unit?||No|
The course unit aims to provide a basic course in pure mathematical topics for members of the foundation year.
Knowledge and understanding: Be familiar with inequalities and with sets and logic.
Intellectual skills: Be able to carry out routine operations involving the topics in the syllabus.
Transferable skills and personal qualities: Have a set of tools and methods that can be applied in the courses given in the host department or in subsequent years.
13 lectures: Sets. Definition, subsets, simple examples, union, intersection and complement. De Morgan's Laws. Elementary Logic; universal and existential quantifiers. Proof by contradiction and by induction.
7 lectures : Inequalities. Methods of proof for inequalities. Solution of inequalities containing unknown variables. Linear inequalities with one or two variables, systems of liner inequalities with two variables. Some simple problems of linear optimisation. Quadratic inequalities with one variable.
Continuous Assessment from Tutorials - 10 short multiple choice tests at the end of every tutorial class in Weeks 3-12. 9 best results are used to make 30% of the total mark for the course.
Examination. Weighting within unit 70%
LIPSCHUTZ, S., 1998. Schaum's outline of theory and problems of set theory and related topics (2nd ed). McGraw-Hill, London. (ISBN0070381593)
FRANKLIN, J. & DAOUD, A., Proof in Mathematics: An Introduction, Kew Books (Jan 2011)
STEEGE, R. & BAILEY, K., 2010. Schaum's Outline of Intermediate Algebra. McGraw Hill Professional: New York (ISBN9780071629980)
|Scheduled activity hours|
|Independent study hours|
|Hendrik Suess||Unit coordinator|
This course unit detail provides the framework for delivery in 20/21 and may be subject to change due to any additional Covid-19 impact.
Please see Blackboard / course unit related emails for any further updates