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 AMSP, 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 2018—2019
Subject  Date and time  Venue 

Division by Zero  Tuesday 22nd January, 1630—1830  Hicks LT6 
Proof  Tuesday 29th January, 1630—1830  Hicks LT1 
Coordinate Geometry  Tuesday 5th February, 1630—1830  Arts Tower LT2 
Trigonometry  Tuesday 12th February, 1630—1830  Arts Tower LT2 
Inequalities  Tuesday 26th February, 1630—1830  Arts Tower LT1 
Calculus  Tuesday 5th March, 1630—1830  Arts Tower LT2 
Vectors  Tuesday 12th March, 1630—1830  Arts Tower LT2 
Numbers, sequences, series  Tuesday 19th March, 1630—1830  Arts Tower LT2 
Hyperbolic functions  Tuesday 26th March, 1630—1830  Arts Tower LT1 
Complex numbers  Tuesday 30th April, 1630—1830  Arts Tower LT1 
Proof and series  Tuesday 7th May, 1630—1830  Arts Tower LT2 
Mechanics, Probability and Stats I (with Prof Alan Zinober) 
Wednesday 8th May, 1630—1830  Hicks I12 
Differential equations  Tuesday 14th May, 1630—1830  Arts Tower LT2 
Mechanics, Probability and Stats II (with Prof Alan Zinober) 
Thursday 9th May, 1630—1830  Hicks I12 
Mechanics, Probability and Stats III (TBC) (with Prof Alan Zinober) 
Thursday 16th May, 1630—1830  Hicks I12 
Mechanics, Probability and Stats IV (TBC) (with Prof Alan Zinober) 
Friday 17th May, 1630—1830  Hicks I12 
STEP 1: mock exam  TBC  TBC 
STEP 2: mock exam  TBC  TBC 
STEP 3: mock exam  TBC  TBC 
Click here to see the timetable from 2017—2018 
Timetable 2017—2018


Click here to see the timetable from 2016—2017 
Timetable 2016—2017

