1Q2 Course Materials
Available Resources
Handouts
- Feedback on week 3 questionnaires.
- Lecture 1
- Ordinary Differential Equations
- Partial Differentiation
Example Sheets
The example sheets and solutions will be placed here as the semester progresses.
- Example Sheets 1 and 2 and solutions
- Example Sheets 3 and 4 and solutions
- Example Sheet 5
- Example Sheet 6
- Example Sheet : Matrices
Coursework
Coursework 1 uses the STACK/MOODLE computer system and is due in by Tuesday 2nd March.
Coursework 2 uses the STACK/MOODLE computer system and is due in by Wednesday 12th May.
HELM Modules
Download and print the HELM modules on topics relevant to 1Q2.
- Complex Numbers and Hyperbolic Functions
- Complex arithmetic
- Argand diagrams and polar form
- Exponential form
- De Moivre's theorem
- The hyperbolic function .
- Matrices and Determinants
- 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 .
- Second Order Ordinary Differential Equations
- Modelling with differential equ ations (context material);
- First Order ODEs ;
- Second Order ODEs
- Applications of Differential Equations (context material).
- First Order ODEs ;
- Partial Differentiation
- Functions of several variables (context material);
- Partial derivatives
- Stationary points
- Errors and percentage change
- Polar co-ordinates .
- Series and Limits
- Sequences and Series
- Infinite Series
- Binomial Series (context material);
- Power Series
- Maclaurin and Taylor Series .
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.