Year:11/12
Department:Physics
Level:Part I
Learning Hours:80
Credit Points:8
Weight:0.2
Course Convenor:Professor RWL Jones
Status:Live
Assessment Rules
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CMod description
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The
module describes the meaning and operation of integration, and covers the area
under a curve, definite and indefinite integrals, limits, systematic methods of
integrating functions, leading to an introduction to differential equations,
linear first and second order, characteristic equations and particular
integrals.
Curriculum Design: Outline Syllabus
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Geometric area under a graph. The relation between anti-derivatives and the signed area generated by a graph
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Limit of a sum represented by a definite integral
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Definite integrals and area
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Indefinite and improper integrals
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Systematic techniques for integration
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Integration by parts
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Integration by substitution (change of integration variable)
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Simplification
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Integrals over lines
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Parametric evaluation of integrals over lines
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Introduction to integration over areas and volumes
Based on FLAP modules M5.1,2,3,4,5 and Jordan & Smith chapters 14,15,16,17,33
Educational Aims: Subject Specific: Knowledge, Understanding and Skills
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To provide a firm grounding in integration techniques.
Learning Outcomes: Subject Specific: Knowledge, Understanding and Skills
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On completion of the module, students should be able to :
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understand the fundamental principle of single-variable integration and recognise its relation to the area under a graph
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integrate directly a variety of basic functions of one variable
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use systematic techniques to tackle more complicated integrals of one variable
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tackle important basic integrals over lines, areas and volumes
Curriculum Design: Select Bibliography
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(E) FLAP mathematics package.
(E) D W Jordan & P Smith Mathematical Techniques, OUP
