Undergraduate Course: Applicable Mathematics 1 (MATH08027)
Course Outline
School  School of Mathematics 
College  College of Science and Engineering 
Course type  Standard 
Availability  Available to all students 
Credit level (Normal year taken)  SCQF Level 8 (Year 1 Undergraduate) 
Credits  10 
Home subject area  Mathematics 
Other subject area  Mathematics for Physical Science & Engineering 
Course website 
https://info.maths.ed.ac.uk/teaching.html 
Taught in Gaelic?  No 
Course description  *In 201112, 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. 
Information for Visiting Students
Prerequisites  None 
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 
Keywords  am1 
Contacts
Course organiser  Dr Noel Smyth
Tel: (0131 6)50 5080
Email: N.Smyth@ed.ac.uk 
Course secretary  Ms Marieke Blair
Tel: (0131 6)50 5048
Email: M.Blair@ed.ac.uk 

