Please ensure you check the module availability box for each module outline, as not all modules will run each academic year.
Department: Mathematical Sciences
||Available in 2019/20
- Normally, A level Mathematics at grade A or better and AS
level Further Mathematics at grade A or better, or
- Linear Algebra I (MATH1071)
Excluded Combination of Modules
- Mathematics for Engineers and Scientists (MATH1551), Single
Mathematics A (MATH1561), Single Mathematics B (MATH1571) may not be taken with or after this
- This module is designed to follow on from, and reinforce, A level
- It will present students with a wide range of mathematics ideas in
preparation for more demanding material later.
- Aim: to introduce crucial basic concepts and important mathematical
- A range of topics are treated each at an elementary level
to give a foundation of basic definitions, theorems and computational
- A rigorous approach is expected.
- Elementary functions of a real variable.
- Limits, continuity, differentiation and
- Ordinary Differential Equations.
- Fourier series.
- Calculus of functions of many variables
- Partial differential equations and method of separation of variables
- Fourier transforms
- By the end of the module students will: be able to solve a range of predictable or less predictable problems in Calculus,
- have an awareness of the basic concepts of theoretical mathematics in Calculus,
- have a broad knowledge, and a basic understanding and working knowledge of each of the
- have gained confidence in approaching and applying calculus to novel problems.
- Students will have enhanced skills in the following areas: modelling, spatial awareness, abstract reasoning and numeracy.
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.
- Tutorials provide active engagement and feedback to the
- Weekly homework problems provide formative assessment to guide
students in the development of their knowledge and skills. They
also aid the development of students' awareness of the required standards
- Initial diagnostic testing and associated supplementary
problems classes fill in gaps related to the wide variety of syllabuses
available at Mathematics A-level, and provide extra support to the course.
- The examination provides a final assessment of the achievement
of the student.
Teaching Methods and Contact Hours
||3 per week in terms 1, 2 or 3 per week in term 2 (alternating fortnightly with Problems Classes), 2 revision lectures in term 3.
||Weekly in weeks 2-10, fortnightly in weeks 13-19, and one in week 21.
||Fortnightly in weeks 14-20
||Weekly in weeks 2-10 and 12-20
|Preparation and Reading
||Component Weighting: 100%
||Length / duration
||Component Weighting: %
||Length / duration
■ 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
If you have a query about a specific module or degree programme, please contact the appropriate department
If you have a question about Durham's modular degree programmes, please visit our FAQ webpage
. If you have a question about modular programmes that is not covered by the FAQ, or a query about the on-line Faculty Handbook, please contact us using the Comments and Questions form