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School of Mathematics

# 1R1 Course Materials

### Available Resources

Any handouts will be placed here.

## Coursework

Coursework Test 1(week 4). Weighting within unit 10%
Coursework Test 2 (week 7). Weighting within unit 10%
Coursework Test 3 (week 9). Weighting within unit 10%
Coursework Test 4 (week 11). Weighting within unit 10%
Retests are available one week later.
2 hour (semester 1) examination. Weighting within unit 60%

Coursework Tests for 1R1 are 9 am in the Computer Cluster in Sackville/G11 on the following dates. Retests are one week later. These tests involve the student interacting with the computer. There will be a familiarisation session 9 am on Monday 12th October. At this session, students should follow the link to mathvle.eps.manchester.ac.uk/

Algebra Test
Monday 19th October (Retest Monday 26th October)
Trigonometry Test
Monday 9th November (Retest Monday 16th November)
Differentiation : Simple Differentiation. Gradients. Product Quotient and Chain Rules , Stationary Points
Monday 23rd November (Retest Monday 30th November)
Integration
Monday 7th December (Retest Monday 14th December)

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

## HELM Modules

Algebra and Functions:
Basic concepts of functions
Graph of a function (context material)
One-to-one and inverse functions
Some common engineering functions (includes polynomial & rational functions)
Exponential function
Logarithms (context material)
Logarithmic function
Solving polynomial equations
Partial fractions
Differentiation:
Introducing differentiation
Using a table of derivatives
Differentiating products and quotients
The chain rule (function of a function)
Maxima and minima (stationary points)
Higher derivatives
Integration:
Basic concepts of integration (includes integration as reverse of differentiation)
Definite integrals
The area bounded by a curve
Integration by parts
Integration by substitution and partial fractions
Integration of trigonometric functions
Vectors:
Basic concepts of vectors
Cartesian components of vectors
The scalar product
The vector product
Lines and planes

### 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.