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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2012/2013
- ARCHIVE as at 1 September 2012 for reference only
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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Applicable Mathematics 1 (MATH08027)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Course typeStandard AvailabilityAvailable to all students
Credit level (Normal year taken)SCQF Level 8 (Year 1 Undergraduate) Credits10
Home subject areaMathematics Other subject areaMathematics for Physical Science & Engineering
Course website https://info.maths.ed.ac.uk/teaching.html Taught in Gaelic?No
Course description*In 2011-12, this course is available only to students retaking it and will be assessed on an 'exam only' basis.*

Basic rules of algebra; numbers and errors. Sequences and series; permutations and combinations, Binomial theorem. Polynomials and their roots, partial fractions. Basic vector algebra; scalar product and geometry. Complex numbers: cartesian, polar form and de Moivre's theorem.
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Co-requisites
Prohibited Combinations Students MUST NOT also be taking Mathematics for Informatics 1a (MATH08046) OR Mathematics for Informatics 1b (MINF08001) OR Applicable Mathematics 1 (Foundation) (MATH08028) OR Solving Equations (MATH08002)
Other requirements B-Grade at Higher Mathematics OR B-Grade at A-level Mathematics OR equivalent
Additional Costs None
Information for Visiting Students
Pre-requisitesNone
Displayed in Visiting Students Prospectus?No
Course Delivery Information
Not being delivered
Summary of Intended Learning Outcomes
Revision of basic arithmetic and algebra
1. Ability to manipulate numbers and symbols
2. Ability to round numbers and calculate decimal places and significant figures
3. Ability to sum arithmetic and geometric series
4. Ability to enumerate permutations and combinations and evaluate binomial coefficients
5. Ability to expand expressions using the binomial theorem
6. Ability to complete the square for quadratics and to solve quadratic equations
7. Ability to factor polynomials with integer roots
8. Ability to divide polynomials and construct partial fractions, graphing the result

Vectors
1. Understanding position and free vectors
2. Ability to distinguish between directed line segments and vectors
3. Ability to compute the dot product, compute angles and recognise orthogonality
4. Ability to resolve vectors
5. Ability to perform simple geometrical analyses

Complex numbers
1. Ability to perform simple arithmetic in cartesian form, including calculation of conjugate and modulus
2. Ability to represent complex numbers on an Argand Diagram
3. Ability to represent simple straight lines and circles in complex number notation
4. Ability to calculate with the polar form
5. Ability to use de Moivre's Theorem to calculate powers
6. Ability to use Euler's formula to find simple roots and fractional powers
Assessment Information
Coursework: 15%
Degree Examination: 85%
Special Arrangements
None
Additional Information
Academic description Not entered
Syllabus Not entered
Transferable skills Not entered
Reading list Not entered
Study Abroad Not entered
Study Pattern Not entered
Keywordsam1
Contacts
Course organiserDr Noel Smyth
Tel: (0131 6)50 5080
Email: N.Smyth@ed.ac.uk
Course secretaryMs Marieke Blair
Tel: (0131 6)50 5048
Email: M.Blair@ed.ac.uk
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