This is an archived handbook for a previous year. The current undergraduate and postgraduate handbooks can be viewed using the links above.

Undergraduate Handbook 2012-2013 (archived)

Module FOUN0267: MATHEMATICAL APPLICATIONS 2

Department: Foundation Year

FOUN0267: MATHEMATICAL APPLICATIONS 2

Type	Level	Credits	Availability	Module Cap	Location
Open	0	10	Available in 2012/2013	None.	Durham and Queen's Campus Stockton

Pre-requisites

None.

Corequisites

Numerical Skills and Research Methods for Scientists (FOUN0331) or Numerical Skills and Research Methods for Social Scientists (FOUN0321)

Excluded Combinations

None.

Aims

to introduce and develop a knowledge of matrices and their applications.
to introduce and develop a knowledge of first and second order differential equations and their applications.
to improve confidence in algebraic and trigonometric manipulation.
to develop students' abilities to apply mathematics to problems based on physical situations.

Content

Matrices 2x2 and nxm, addition, subtraction and multiplication, determinant, transpose and inverse. Applications to simultaneous equations.
addition, subtraction and resolution of co-planar vectors.
displacement, speed, velocity and acceleration.
equations of motion (e.g. v = u + at).
independence of motion in two directions at right angles (e.g. projectiles).
use of F = ma.
calculation of moments, conditions for equilibrium.
conservation of momentum.
Hooke's law, Young's modulus.
First Order Differential equations including separating variables.
Second Order Differential equations.

Learning Outcomes

Subject-specific Knowledge

Subject-specific Skills

By the end of this module the student will have acquired the skills to be able to:
apply mathematics to a variety of problems based on physical situations.
use matrices in a number of mathematical situations.
understand and use first and second order differential equations in a range of situations as appropriate to the syllabus.
confidently manipulate a range of algebraic and trigonometric expressions as required in problems appropriate to the syllabus.

Key Skills

By the end of the module 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.
Manipulative skills and ability to use and apply mathematics will be tested by: a coursework portfolio containing students' solutions to questions or tasks set by the tutor on a weekly basis, an invigilated test and an end of module exam.

Teaching Methods and Learning Hours

Activity	Number	Frequency	Duration	Total Hours	Attendance Monitored
Lectures	11	Weekly	1 hour	11	Yes
Tutorials	22	Weekly	2 hours	22	Yes
Prep ass				30
Prep contact hours				37
Total				100
				0

Summative Assessment

Component	Component Weighting	Element	Element Weighting	Resit Opportunity
Test	40%	Test	100%	Resit
Examination	50%	Examination	100%	Resit
Portfolio of assessed work	10%	Portfolio of assessed work	100%	Resubmission

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.