| Unit name | Applied Analysis A |
|---|---|
| Unit code | MATH10023 |
| Credit points | 20 |
| Level of study | C/4 |
| Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
| Unit director | Professor. Robbins |
| Open unit status | Not open |
| Units you must take before you take this one (pre-requisite units) |
none |
| Units you must take alongside this one (co-requisite units) |
none |
| Units you may not take alongside this one |
none |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
Why is this unit important?
Analysis is the study of the continuum. It is central to mathematics and its applications, encompassing calculus and the theory of functions. Applied Analysis A provides a rigorous foundation for the theory of functions of a single real variable. Its companion unit, Applied Analysis B, provides an analogous foundation for functions of several real variables.
The emphasis is on calculation and problem-solving, underpinned by theory and computation. On the theoretical side, methods of calculus are developed systematically; definitions and theorems are formulated precisely, and some theorems are proved, so that the scope of the theory is clearly established. On the computational side, algorithms, coding and graphics complement paper-and-pencil-based methods.
How does this unit fit into your programme of study
Calculus and analysis are central to core parts of data science, including optimisation, representations of functions, convexity, probability and statistics. The unit introduces methods of proof and logical rigor.
An overview of content
Topics below are organised thematically rather than in order of presentation.
Real numbers; sequences and series; limits
Learning Outcomes
At the end of the unit, the students should be able to:
The unit will be taught through a combination of
Assessment for learning/Formative assessment:
Assessment of learning/Summative assessment:
If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.
If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. MATH10023).
How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours
of study to complete. Your total learning time is made up of contact time, directed learning tasks,
independent learning and assessment activity.
See the University Workload statement relating to this unit for more information.
Assessment
The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit.
The Board considers each student's outcomes across all the units which contribute to each year's programme of study. For appropriate assessments, if you have self-certificated your absence, you will normally be required to complete it the next time it runs (for assessments at the end of TB1 and TB2 this is usually in the next re-assessment period).
The Board of Examiners will take into account any exceptional circumstances and operates
within the Regulations and Code of Practice for Taught Programmes.
