Undergraduate Course: Applicable Mathematics 2 (MATH08031)
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 08 (Year 1 Undergraduate) |
Credits |
10 |
| Home subject area |
Mathematics |
Other subject area |
Mathematics for Physical Science & Engineering |
| Course website |
http://student.maths.ed.ac.uk |
|
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| Course description |
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. |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 2, Available to all students (SV1)
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WebCT enabled: Yes |
Quota: 540 |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| Central | Lecture | | 1-11 | | 09:00 - 09:50or 12:10 - 13:00 | | | | | Central | Lecture | | 1-11 | | | | | 09:00 - 09:50or 12:10 - 13:00 |
| First Class |
Week 1, Tuesday, 09:00 - 09:50, Zone: Central. Appleton Tower, Lecture Theatre 4 |
| Additional information |
Lectures: Tu, F 0900 or 1210
Tutorials: Wed at 0900, 1000, 1110, 1210, 1305 or 1400(shared with MAT-1-mm2) |
Summary of Intended Learning Outcomes
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
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Assessment Information
Coursework: 15%
Degree Examination: 85%
at least 40% must be achieved in each component. |
| Please see Visiting Student Prospectus website for Visiting Student Assessment information |
Special Arrangements
| Not entered |
Contacts
| Course organiser |
Dr Noel Smyth
Tel: (0131 6)50 5080
Email: N.Smyth@ed.ac.uk |
Course secretary |
Mrs Joy Clark
Tel: (0131 6)50 5059
Email: joy.clark@ed.ac.uk |
|
copyright 2010 The University of Edinburgh -
1 September 2010 6:17 am
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