The curve C has polar coordinates satisfying the differential equation d^{2}r/dθ^{2} + 4r = 5sin(3θ) for π/5≤θ≤3π/5. When θ=π/2, we have r=1 and dr/dθ=−2. Show that C forms a closed loop whose area is π/5+25(sin(π/5)sin(2π/5))/48. 
This STEP preparation course, a joint effort between Sheffield's School of Mathematics and Statistics and the FMSP, will provide a systematic introduction to the advanced problem solving skills required for STEP examinations.
Classes will be delivered by staff with prior experience in delivering STEP preparation. Some sessions will introduce the additional syllabus material required for the STEP examinations. The course will have fifteen sessions (twelve pure mathematics and three applied). The pure mathematics sessions are on a Tuesday; the applied sessions will be scheduled by January. Also to be scheduled by January for the late Spring are mock examinations in the style of STEP 1, 2 and 3.
This course is free to all students holding university offers who can demonstrate the necessary commitment. Participating students are expected to solve problems in class on whiteboards or on paper. To request places on this course or for further enquiries contact James Cranch at somasoutreach@sheffield.ac.uk: it would help if you give your school, and the universities you've applied to, and the dependence of your offers upon STEP.
Timetable 2017—2018
Subject  Date and time  Venue 

Proof  Tuesday 23rd January, 1630—1830  Hicks G34a 
Division by Zero (with Dr Sam Marsh) 
Tuesday 30th January, 1630—1830  Dainton GRC Seminar Room 
Coordinate Geometry  Tuesday 6th February, 1630—1830  Hicks G34a 
Trigonometry  Tuesday 13th February, 1630—1830  Hicks G34a 
Hicks G34a  
Hicks G34a  
Hicks G34a  
Numbers, sequences, series (with Dr Evgeny Shinder) 
Tuesday 20th March, 1630—1830  Hicks G34a 
Tuesday 17th April, 1630—1830  Hicks G34a  
Complex numbers (with Dr Fionntan Roukema) 
Tuesday 24th April, 1630—1830  Hicks G34a 
Tuesday 1st May, 1630—1830  Hicks G34a  
Tuesday 8th May, 1630—1830  Hicks G34a  
Mechanics, Probability and Stats I  Monday 14th May, 1630—1830  Hicks G34a 
Mechanics, Probability and Stats II  Tuesday 15th May, 1630—1830  Hicks G34a 
STEP 1: mock exam  Tuesday 29th May, 1300—1600  Hicks LT9 
STEP 2: mock exam  Wednesday 30th May, 1300—1600  Hicks LT9 
STEP 3: mock exam  Thursday 31st May, 1300—1600  Hicks LT9 
Click here to see the timetable from 2016—2017 
Timetable 2016—2017

