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Unit information: Introductory 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 Introductory Foundations of Mathematics
Unit code MATH00002
Credit points 20
Level of study
Teaching block(s) Teaching Block 1 (weeks 1 - 12)
Unit director Dr. Russo
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


This unit provides a first course in calculus to a level equivalent to QCA level 3. It will prepare students on foundation and preliminary year programmes for entry or progression into higher level qualifications in the physical, life and biomedical sciences or quantitative social sciences. It is suitable for students who have not taken any mathematics qualifications beyond the equivalent of QCA level 2.

Intended learning outcomes

Subject-specific Intended Learning Outcomes

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

  • perform basic algebraic manipulations
  • sum arithmetic and geometric series
  • solve linear, simultaneous linear, and quadratic equations
  • use numerical methods to find areas under curves, etc.
  • use trigonometry
  • differentiate and integrate simple functions and know the physical meaning of the derivative and integral.

Teaching details

36 x 1-hour lectures

12 x 1-hour tutorials

Assessment Details

Assessment for learning/Formative Assessment

Weekly problem sheets with feedback provided in tutorials

Assessment of learning/Summative Learning

2.5 hour written exam

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)