0B2/1B2 Course Materials
Available Resources
Please note that this year---as in the previous two years---the exam will give a choice of 4 questions, of which you should answer three.
Lecturer’s notes have been put on the web when they differ significantly from the HELM notes. In the case of complex numbers, the HELM notes will be followed quite closely, so there are no separate web notes for these.
Handouts
- Geometry
- Simultaneous equations
- Matrices
- Determinants
- ODE-separation of variables
- ODE--Integrating Factors and Homogeneous Equations
- Partial Differentiation
- Partial Differentiation II
- Surfaces
Example Sheets
Solutions will be available on the 0B2 Blackboard pages and on my webpage here as the semester progresses.
Coursework
There will also be two coursework tests during the term each of which weigh 10% of the unit. These are given in the tutorial classes on the following dates: Coursework I. 9 am Friday 22 February (week 4) Coursework II. 9 am Friday 26 April (week 10)
Further details will appear on the Blackboard area at appropriate times.
HELM Modules
Download and print the HELM modules on topics relevant to 0B2.
- Complex Numbers
- Complex arithmetic
- Argand diagrams and polar form
- Exponential form
- De Moivre's Theorem
- Geometry
- The straight line
- Conic sections (includes circles)
- Tangents and normals (includes perpendicular lines):
- Matrices
- Introduction to matrices
- Matrix multiplication
- Determinants
- The inverse of a matrix
- Solution of Equations (Context - Using matrices and determinants to solve equations)
- Cramer's rule for solving simultaneous equations
- Solving simultaneous equations using the inverse matrix
- Gauss elimination
- Further Integration/ODEs
- Integration by substitution
- Modelling with differential equations
- First Order ordinary differential equations. [Includes, Separation of variables, exact equations and integrating factors).
- Second Order ordinary differential equations.
- Applications of differential equations (context material):
- Further/Partial differentiation
- Parametric differentiation
- Functions of several variables
- Partial derivatives
- Stationary points
- Errors and percentage change
Formula Tables
Download, print and get used to looking up information in these Formula Tables. Your lecturer will be able to confirm if these tables will be provided in exams.
Past exam papers
Download and print exam papers from previous years. Be aware that the syllabus may have changed, making some questions no longer relevant to the course you are taking. The number of questions may also have changed. Please note that from 2010-11 onwards, students will be required to do 3 questions out of 4 rather than 3 questions out of 5 as happened in earlier years.