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Curricular information is subject to change
On successful completion of this module the student should appreciate the shortcomings in the Riemann integral and the necessity for the introduction of the Lebesgue integral; be familiar with the basic theory of sigma algebras, measurable functions and integrable functions; know the conditions under which it is possible to swap limits and integration; be familiar with applications of measure theory to functional analysis, potential theory and other areas of mathematics.
|Student Effort Type||Hours|
|Specified Learning Activities||
|Autonomous Student Learning||
A first course in Mathematical Analysis equal or equivalent to MATH10320 is required.Learning Recommendations:
It is recommended that students have taken first courses in Calculus and Metric Spaces, equal or equivalent to MATH10350 and MATH30090, respectively.
|Description||Timing||Component Scale||% of Final Grade|
|Continuous Assessment: Continuous Assessment||Throughout the Trimester||n/a||Standard conversion grade scale 40%||No||
|Examination: Written examination.||2 hour End of Trimester Exam||No||Standard conversion grade scale 40%||No||
|Resit In||Terminal Exam|
|Spring||Yes - 2 Hour|
• Group/class feedback, post-assessment
Not yet recorded.