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Unit information: Mathematical Investigations in 2024/25

Please note: Programme and unit information may change as the relevant academic field develops. We may also make changes to the structure of programmes and assessments to improve the student experience.

Unit name Mathematical Investigations
Unit code MATH10009
Credit points 20
Level of study C/4
Teaching block(s) Teaching Block 1 (weeks 1 - 12)
Unit director Dr. Bouyer
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

Unit Information

Why is this unit important?

This unit will help you in your transition from school to university. You will learn general mathematical skills needed to study advanced mathematics, such as reading and understanding formal mathematical text, writing mathematics in a clear understandable way, and solving unseen mathematical problems that require going beyond straightforward algorithms. Based on selected examples from Further Mathematics, you will learn about great ideas in mathematics. You will learn about mathematical experience, history of selected discoveries, and mathematical community. You will also learn how to give and receive feedback and reflect on your learning. The whole unit will help foster a community by providing an opportunity to make friends and work with other students.

How does this unit fit into your programme of study?

This unit will deepen your knowledge of main mathematical concepts known from Further Mathematics and foster your independent study skills as well as your professional communication skills. These skills are needed to thrive as a mathematician and will be needed for other level C/4 units.

Your learning on this unit

An overview of content

The main mathematical material, based on selected topics from A-Level Further Mathematics, with elements of historical background will be presented in lectures. There will be workshops which will help you put that knowledge into practice while learning general mathematical skills needed in all other mathematical units. There will also be tutorials where you will work in groups on two mini-projects, with the aim to foster independent study skills.

How will students, personally, be different as a result of the unit

At the end of the unit, students will be able to read written mathematics critically and present mathematical arguments verbally and in written form. They will know how to apply formal mathematics in problem solving, including new and unfamiliar context. They will be confident in being able to do independent work and will have learned essential mathematical and interpersonal skills.

Learning outcomes:

Students will be able to

  • apply selected concepts of A-Level Further Mathematics to problem solving,
  • work effectively in groups and independently on mathematical problems with suitable guidance,
  • present mathematical arguments and write short reports (in LaTeX),
  • independently explore new topics in mathematics.

How you will learn

The activities include:

  • Plenary lectures
  • Weekly workshops
  • Weekly group meetings with supervisor
  • Guided independent study

How you will be assessed

Tasks which will help you learn and prepare for summative tasks (formative)

  • Weekly worksheets done in class as a group – this will help you consolidate learning done in lectures and will help you with summative quizzes
  • A group mini-project (Project 1) on which you will receive regular feedback to implement for your summative mini-project (Project 2)

Tasks which will count towards your unit mark (summative)

100% continuous assessment, coming from (but not limited to) a mixture of online quizzes, written project report, and project presentation.

When assessment does not go to plan

The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit. In a typical situation the reassessment will be by a written project and/or an online quiz. Moreover, the Board of Examiners will take into account any exceptional circumstances.

Resources

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. MATH10009).

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.

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