Registry
Module Specifications
Archived Version 2003 - 2004
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Module Title |
Mathematics for Scientists 2
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Module Code |
MS223
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School |
School of Mathematical Sciences
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Online Module Resources
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| Module Co-ordinator | Dr Brien Nolan | Office Number | X138F |
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Level |
2
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Credit Rating |
5
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Pre-requisite |
None
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Co-requisite |
None
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Module Aims
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To give a thorough grounding in probability, statistics and calculus of several variables as required for the successful understanding and solution of problems in science.
To understand how mathematics can be used as a tool for solving scientific problems and a language for communicating information.
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Learning Outcomes
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7 To improve mathematical skills and knowledge essential in science.
7 To develop skills in deductive reasoning and communication of scientific results.
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Indicative Time Allowances
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Hours
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Lectures |
2
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Tutorials |
1
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Laboratories |
0
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Seminars |
0
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Independent Learning Time |
72
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Total |
75
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Placements |
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Assignments |
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NOTE
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Assume that a 5 credit module load represents approximately 75 hours' work, which includes all teaching, in-course assignments, laboratory work or other specialised training and an estimated private learning time associated with the module.
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Indicative Syllabus
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· Sets: Definitions; set operations; set identities. Russell's paradox.
· Probability: Random experiments; axioms of probability; independent events; conditional probability; Bayes' theorem.
· Random variables and probability densities: Discrete and continuous random variables; characteristics of random variables; probability distributions and densities.
· Some important probability densities: How to count; the binomial, Poisson, Pascal and normal distributions.
· Statistical inference: Point estimates and confidence intervals; the central limit theorem; hypothesis tests.
· Vector calculus and functions of several variables: Vectors; scalar and cross product; applications. Scalar and vector fields; partial derivatives; div, grad and curl; surfaces; optimization
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| Assessment | | Continuous Assessment | 30% | Examination Weight | 70% |
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Indicative Reading List
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J.J. Kinney, Statistics for Science and Engineering, Addison-Wesley 2002.
R.L. Finney and G. B. Thomas, Calculus, Addison-Wesley 1994.
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Programme or List of Programmes
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| AC | BSc in Chemical and Pharmaceutical Sc. |
| AS | BSc in Analytical Science |
| CF | BSc in Chemistry with French |
| CG | BSc in Chemistry with German |
| SE | BSc Science Education |
| Archives: | |
