- Title: Mathematics 1Q2
- Unit code: MATH19642
- Credit rating: 10
- Level: 1
- Pre-requisite units: Mathematics 1Q1 (MA1004)
- Co-requisite units:
- School responsible: Mathematics
- Member of staff responsible: Dr CDC Steele, Dr Y Chahlaoui, Dr C Dean
- The programme unit aims to provide a second-semester course in calculus and algebra to students with A-level mathematics or equivalent in schools of Electrical and Electronic Engineering, and Chemistry and other schools
- Brief description
- Six lectures: Ordinary Differential Equations: First Order Equations - Homogeneous and Linear Equations. Second Order Equations with constant coefficients; complementary functions and particular integrals, homogeneous and non-homogeneous forms. Special cases with non-constant coefficients.
- Three lectures: PArtial Differentiation: Introduction. Chain rule for partial differentiation. Total derivatives. Theory of errors.
- Three lectures: Series and Limits: Definition of Limits. L'Hopital's Rule. Series - Power Series, Taylor and Maclaurin Series.
- Five lectures : Complex Numbers and Hyperbolic Functions. Complex Numbers: definition, algebraic operations, modules and argument. Argand Diagram, De Moivre's theorem. Hyperbolic Functions : definition, elementry properties, inverse functions, derivatives and integrals. Osborne's Rule.
- Five lectures: Matrices and Determinants: Definition of an m x n matrix. Matrix addition, subtraction, multiplication by a scalar, matrix multiplication; square matrices, determinants and properties; solution of equations; inverse matrices.
- KA Stroud, Engineering Mathematics, Palgrave
- Intended learning outcomes
- Knowledge and understanding: Be familiar with complex numbers, hyperbolic functions, matrices, ordinary differential equations, partial differentiation and series.
- Intellectual skills: Be able to carry out routine operations involving the topics in the syllabus.
- Transferable skills and personal qualities: Have a set of tools and methods that can be applied in the courses given in the host department or in subsequent years.
- Learning and teaching processes
- Two lectures in weeks 1-11. One smallish-group tutorial in weeks 2-12. Revision Classes in week 12.
- Lectures : 22
- Tutorials : 11
- Revision Classes : 2
- Hours of private study : 65
- Coursework 1(week 4) Weighting within unit 6.7%
- Coursework 2(week 7 Weighting within unit 6.7%
- Coursework 3 (week 11) Weighting within unit 6.7%
- 2 hour examination Weighting within unit 80%
The lectures for course 1Q2 (MATH19642) for 2009-10 are as follows
- Wednesday 9 am : Renold/D7
- Friday 9 am : Renold/J17
- Lectures given by Dr Y Chahlaoui and Dr C Dean
- Office hours : Dr Chahloui : 12 noon to 1 pm, Monday and Wednesday
- Office hours : Dr Steele : 12 noon to 1:30 pm Tuesday, 12 noon to 1 pm Friday. Both in GB/C6.
These start week 2. Each student is assigned to a group which meets once per week. The allocation of groups is the same as the 1Q1 groups but the groups may well meet in new rooms for this semester.
1Q2 Tutorials : Chemistry : Friday 10 am (2010-11)
- Group Y1 in Sackville/G37
1Q2 Tutorials : Electrical and Electronic : Friday 12 noon (2009-10)
- Group E2 in Renold/E1 ( Note Change
- Group E3 in Renold/D5
- Group E4 in Sackville/H8
- Group E5 in Sackville/D39
Students in other schools should contact Dr Steele to arrange a tutorial time