# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2012/2013

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# Undergraduate Course: Applicable Mathematics 2 (MATH08031)

 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 *This course is available only to students retaking it and will be assessed on an 'exam only' basis.* Matrices, inverses and determinants, linear equations and Gaussian elimination. Power series with radius of convergence, Taylor-Maclaurin series and applications. Vector geometry: vector and triple products, lines and planes in space. Descriptive statistics, sample mean and variance. Best least squares fit. Probability theory: conditional probability and independence. Distributions: binomial, Poisson, uniform, exponential, normal.
 Pre-requisites Students MUST have passed: Applicable Mathematics 1 (MATH08027) OR Solving Equations (MATH08002) Co-requisites Prohibited Combinations Students MUST NOT also be taking Mathematics for Informatics 2a (MINF08002) OR Mathematics for Informatics 2b (MATH08047) OR Geometry & Convergence (MATH08003) Other requirements None Additional Costs None
 Pre-requisites None Displayed in Visiting Students Prospectus? No
 Not being delivered
 Series 1. Understanding the nature of power series and the radius of convergence 2. Ability to undertake simple calculations using the geometric, binomial, exponential and trigonometric series 3. Ability to construct Maclaurin and Taylor series Matrix algebra 1. Ability to add, multiply and compute the transpose 2. Ability to solve linear equations using Gaussian elimination 3. Ability to compute the inverse (2x2, 3x3) 4. Ability to compute the determinant (2x2, 3x3) 5. Understanding the link between matrix, determinant and solution of equations 6. Ability to solve homogeneous equations Vector geometry 1. Ability to calculate the equations of lines and planes in 3D 2. Ability to calculate the vector product and the scalar and vector triple products 3. Ability to solve various intersection problems involving lines and planes Descriptive Statistics 1. Ability to calculate quartiles, means and standard deviations from sample data and understanding the meaning of these measures 2. Understand the use of least squares for line fitting. Probability 1. Ability to apply simple counting methods to determine probabilities 2. Understanding the addition and multiplication rules of probability and using them in simple calculations 3. Ability to calculate using conditional probabilities 4. Understanding the importance of statistical independence Distributions 1. Understanding simple discrete distributions and the ability to calculate means and variances 2. Ability to calculate probabilities from the binomial distribution 3. Understanding simple continuous distributions and the ability to calculate means and variances. 4. Ability to calculate using uniform, Poisson and exponential distributions 5. Ability to calculate Normal distribution probabilities using a table of the Standard Normal 6. Ability to calculate confidence intervals for means
 Coursework: 15% Degree Examination: 85%
 None
 Academic description Not entered Syllabus Not entered Transferable skills Not entered Reading list Not entered Study Abroad Not entered Study Pattern Not entered Keywords am2
 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
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