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Unit information: Further Foundations of Mathematics in 2019/20

Please note: It is possible that the information shown for future academic years may change due to developments in the relevant academic field. Optional unit availability varies depending on both staffing and student choice.

Unit name Further Foundations of Mathematics
Unit code MATH00001
Credit points 20
Level of study
Teaching block(s) Teaching Block 2 (weeks 13 - 24)
Unit director Dr. Harris
Open unit status Not open

IELTS minimum 5.5 overall with a minimum of 5 in writing and 4.5 in all other components or equivalent

Students should have the appropriate qualifications in Mathematics at the equivalent of QCA level 2



School/department School of Mathematics
Faculty Faculty of Science


The unit will develop students' understanding of integral calculus, differential equations, vectors and matrices to a level equivalent to QCA level 3. The unit will prepare students on foundation and preliminary year programmes for entry or progression into higher level qualifications in the physical, life or biomedical sciences and quantitative social sciences that require a more advanced understanding of mathematics.

Intended learning outcomes

Subject-specific Intended Learning Outcomes

At the end of the unit students should be able to:

  • use numerical methods to find areas under curves, etc.
  • integrate simple functions and know the physical meaning of the integral.
  • work with functions of two or more variables
  • manipulate and use matrices
  • use vectors

Teaching details

36 x 1-hour lecture

12 x 1-hour tutorial

Assessment Details

Assessment for Learning/Formative Assessment

Weekly problems sheets, with feedback provided during weekly tutorials

Assessment of Learning/Summative Assessment

2.5 hour written examination

Reading and References

Recommended Reading

Many textbooks cover the material taught in this unit, for example:

  • Understanding Pure Mathematics, A.J. Sadler and D.W.S. Thorning (Oxford University Press 1995)

Further Reading

You may also find the following books helpful:

  • Help yourself to algebra, Hugh Neill (Longman 1996)
  • Mind the Gap, bridging the gap between GCSE and AS Maths, Roger Cahalin, Alessandra Desbottes & Suzanne Doyle (Coordination Group Publications 2002)