This page is for the academic year 2021-22. The current handbook year is 2022-23
Department: Mathematical Sciences
||Available in 2021/22
- Complex Analysis II (MATH2011) and Analysis in Many Variables II (MATH2031)
Excluded Combination of Modules
- To provide the student with basic ideas of measure, integration, and their applications.
- Set theory.
- Metric spaces.
- Advanced concepts in continuity.
- Measure theory.
- Convergence theorems.
- Banach and Hilbert spaces.
- Harmonic analysis.
- By the end of the module students will:
- be able to solve novel and/or complex problems in Analysis.
- have a systematic and coherent understanding of theoretical mathematics in the field of Analysis.
- have acquired a coherent body of knowledge of these subjects demonstrated through one or more of the following topic areas:
- Measure theory.
- Functional analysis.
- Students will have highly specialised and advanced mathematical skills which will be used with minimal guidance in the following areas: Spatial awareness.
- Students will have enhanced problem solving skills.
Modes of Teaching, Learning and Assessment and how these contribute to
the learning outcomes of the module
- Lectures demonstrate what is required to be learned and the application of the theory to practical examples.
- Assignments for self-study develop problem-solving skills and enable students to test and develop their knowledge and understanding.
- Formatively assessed assignments provide practice in the application of logic and high level of rigour as well as feedback for the students and the lecturer on students' progress.
- The end-of-year examination assesses the knowledge acquired and the ability to solve predictable and unpredictable problems.
Teaching Methods and Learning Hours
||2 per week for 20 weeks and 2 in term 3
||Four in each of terms 1 and 2
|Preparation and Reading
||Component Weighting: 100%
||Length / duration
Eight written assignments to be assessed and returned. Other assignments are set for self-study and complete solutions are made available to students.
■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University