- Title: Mathematics 0F2 - Vectors and Statistics
- Unit code: MATH19842
- Credit rating: 10
- Level: 0
- Pre-requisite units: Mathematics 0B1 (MATH19801) or Mathematics 0C1 (MATH19821)
- Co-requisite units:
- School responsible: Mathematics
- Member of staff responsible: Dr CDC Steele, Mr MK Tso, Dr JH Bagley
- The programme unit aims to provide a basic course in probability theory and vectors for members of the Engineering and Physical Sciences Foundation Year.
- Brief description
- Eleven lectures: Vectors: Scalars and vectors. Magnitude and direction. Addition of vectors. Multiplication by a scalar. Scalar products and projections. Vector Products. 2D and 3D coordinate geometry. Position vectors and unit vectors. Parametric Equations. Vector equations of lines and planes. Shortest distance between two lines.
- Five lectures : Probability: Experiments, outcomes. Sample spaces, events, complements and unions/intersections of events, use of combinations and permutations to evaluate probabilities on finite sample spaces. Conditional probability and independence.
- Three lectures: Random variables: Discrete and continuous random variables. Displaying probability distribution functions. Probability distribution functions as the limits of relative frequency distributions. Mean and sample mean.
- Three lectures: Standard distributions: Binomial, poisson and normal distributions with applications.
- Bostock and Chandler, Mathematics, Core Mathematics for A-level, Stanley Thornes
- KA Stroud, Engineering Mathematics, Palgrave
- MR Spiegel. Schaum's outline of theory and problems of probability and statistics, McGraw-Hill. Available electronically
- MR Spiegel, Schaum's outline of theory and problems of probability and statistics , McGraw-Hill
- JH McColl, Probability , Edward Arnold
- Intended learning outcomes
- Knowledge and understanding: On successful completion of this course, students should be familiar with simple probability and vectors.
- Intellectual skills: Be able to carry out routine operations involving the topics in the syllabus.
- Transferable skills and personal qualities: Have a set of tools and methods that can be applied in the courses given in the host department or in subsequent years.
- Learning and teaching processes
- Two lectures in weeks 1-11. One tutorial (in small groups) in weeks 2-12.
- Lectures : 22
- Tutorials : 10
- Hours of private study : 68
- Coursework 1(week 6) Weighting within unit 10%
- Coursework 2 (week 11 ) Weighting within unit 10%
- 2 hour examination Weighting within unit 80%
This is a second semester course for students in the Foundation Year.
Prior to 2006, this module ran in semester 1 under the title mathematics 0J1.
All students attend two lectures per week. These run from week 1 to week 12. There is a tutorial each week from week 2 to week 12. Attendance will be monitored.
Lecture times and rooms :
The lectures for course 0F2 (MATH19842) for 2012-13 are
- Lecture : Monday 10 am in Renold/C9
- Lecture : Friday 1 pm in Renold/C9
- Lectures given by Mr MK Tso and Dr JH Bagley
- Tutorial time Wednesday 10 am