This page is for the academic year 2021-22. The current handbook year is 2022-23
Department: Mathematical Sciences
SINGLE MATHEMATICS A
||Available in 2021/22
- Normally, A level Mathematics at Grade A or better, or
Excluded Combination of Modules
- Calculus (MATH1061), Linear Algebra I
(MATH1071), Mathematics for Engineers and Scientists (MATH1551)
may not be taken with or after this
- This module has been designed to supply mathematics relevant to
students of the physical sciences.
- Basic functions and elementary calculus: including
standard functions and their inverses, the Binomial Theorem, basic
methods for differentiation and integration.
- Complex numbers: including addition, subtraction,
multiplication, division, complex conjugate, modulus, argument, Argand
diagram, de Moivre's theorem, circular and hyperbolic
- Single variable calculus: including discussion of real
numbers, rationals and irrationals, limits, continuity,
differentiability, mean value theorem, L'Hopital's rule, summation of series,
convergence, Taylor's theorem.
- Matrices and determinants: including determinants, rules
for manipulation, transpose, adjoint and inverse matrices,
Gaussian elimination, eigenvalues and eigenvectors,
- Groups, axioms, non-abelian groups
- By the end of the module students will: be able to solve a
range of predictable or less predictable problems in
- have an awareness of the basic concepts of theoretical
mathematics in these areas.
- have a broad knowledge and basic understanding of these
subjects demonstrated through one or more of the following topic
areas: Elementary algebra.
- Complex numbers.
- Taylor's Theorem.
- Linear equations and matrices.
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.
- Initial diagnostic testing fills in gaps related to the wide
variety of syllabuses available at Mathematics A-level.
- Tutorials provide the practice and support in applying the
methods to relevant situations as well as active engagement and feedback
to the learning process.
- Weekly coursework provides an opportunity for students
to consolidate the learning of material as the module progresses (there
are no higher level modules in the department of Mathematical Sciences which build on this module). It serves as a guide in the correct
development of students' knowledge and skills, as well as an aid in developing their awareness of standards required.
- The end-of-year written examination provides a substantial
complementary assessment of the achievement of the student.
Teaching Methods and Learning Hours
||3 per week for 21 weeks
||Weekly in weeks 2-10, 12-20, 21.
||Weekly in weeks 2-10 and 12-20.
|Preparation and Reading
||Component Weighting: 90%
||Length / duration
|Component: Continuous Assessment
||Component Weighting: 10%
||Length / duration
|One written assignment each teaching week. Normally it will consist of solving problems from a Problem Sheet and
typically will be 1 or 2 pages long.
45 minute collection paper in the beginning of Epiphany term.
■ 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