Complex Numbers: Monday week 4 (Retest Monday week 5)
Complex Numbers, Hyperbolic Functions and Matrices: Monday week 6 (Retest Monday week 7)
Matrices, Integration: Monday week 8 (Retest Monday week 9)
Differential Equations: Monday week 10 (Retest Monday week 12)

Students scoring less than 7/10 in a test are invited to the retest. At the retest, marks can be increased by a maximum of 4 to a maximum of 7.

Coursework Tests for 1R2 are 9 am in the Computer Cluster in Sackville/G11 on the above dates. Retests are one week later. These tests involve the student interacting with the computer. Week 3 will nivolve a practice session. At this session, students should follow the link to http://mathvle.eps.manchester.ac.uk

These arrangements are similar to those for 1R1 .

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HELM Modules

Download and print the HELM modules on topics relevant to 1R2.

Complex Numbers: Complex arithmetic; Argand diagrams and polar form; Exponential form
Hyperbolic Functions: The hyperbolic function
Matrices: Introduction to matrices; Matrix multiplication; Determinants; The inverse of a matrix
Solution of 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 ODEs; Second Order ODEs; Applications of differential equations (context material)
Further/Partial 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.

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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.

Solutions
2009
2008
2004