This is an archived handbook for a previous year. The current undergraduate and postgraduate handbooks can be viewed using the links above.
Undergraduate Handbook 2009-2010 (archived)
Module FOUN0277: CORE FOUNDATION MATHS 2
Department: Foundation Year [Queen's Campus, Stockton]
FOUN0277: CORE FOUNDATION MATHS 2
| Type | Level | Credits | Availability | Module Cap | Location |
|---|---|---|---|---|---|
| Open | 0 | 10 | Available in 2009/2010 | None. | Queen's Campus Stockton |
Pre-requisites
- Extension Mathematics (FOUN0207) (or equivalent).
Corequisites
- None.
Excluded Combinations
- None.
Aims
- To consolidate the basic concepts of Calculus in the Extension Mathematics module.
- to build on these concepts to include trigonometric and logarithmic functions.
- to introduce and develop understanding of a range of standard techniques for differentiation and integration.
- to improve confidence in algebraic manipulation through the study of additional mathematical techniques.
Content
- Factor Theorem for polynomials.
- differentiation of composite functions (chain rule) and of the sum, product or quotient of two functions.
- derivative of trigonometric and exponential functions.
- second derivatives of standard functions.
- integration of standard trigonometric functions (e.g. sin(squared)x, cos2x).
- the evaluation of integrals by using standard forms, by substitution, by partial fractions and by integration by parts.
Learning Outcomes
Subject-specific Knowledge
Subject-specific Skills
- By the end of the module the students will have acquired the skills to be able to:
- recall, select and use knowledge of appropriate integration and differentiation techniques as needed in a variety of contexts.
- confidently manipulate a range of algebraic expressions as required in problems appropriate to the syllabus.
Key Skills
- By the end of the module the students will:
- be able to communicate effectively in writing
- be able to apply number in the tackling of numerical problems
- be able to demonstrate problem solving skills
Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module
- Theory, initial concepts and techniques will be introduced during lectures.
- Much of the learning, understanding and consolidation will take place through the use of structured worksheets during tutorials and students' own time.
- Ability to recall, select and use knowledge and to manipulate algebra will be tested by: a coursework portfolio containing students solutions to questions or tasks set by the tutor on a weekly basis.
- These tasks will include a number of short invigilated tests.
- an end of year exam.
Teaching Methods and Learning Hours
| Activity | Number | Frequency | Duration | Total Hours | Attendance Monitored |
|---|---|---|---|---|---|
| Lectures | 11 | Weekly | 1 hour | 11 | Yes |
| Tutorials | 11 | Weekly | 2 hours | 22 | Yes |
| Preparation and Reading | 67 | ||||
| Total | 100 |
Summative Assessment
| Component | Component Weighting | Element | Length/Duration | Element Weighting | Resit Opportunity |
|---|---|---|---|---|---|
| End of Module Exam | 60% | end of module exam | 100% | ||
| Portfolio of Assessed Work | 40% | Weekly questions or tasks | 25% | ||
| Short invigilated tests | 75% |
Formative Assessment
Weekly self-testing units
Students who do not attend monitored activities shown under Teaching Methods
and Learning Hours, or who fail to complete the summative or formative
assessment(s) specified above, may be subject to the Academic Progress
procedures defined in the University's General Regulation V, and may be
required to leave the University.