A STEP class

The curve C has polar coordinates satisfying the differential equation

d2r/dθ2 + 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.

a curve described in polar coordinates

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 somas-outreach@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
Proof Tuesday 22nd January, 1630—1830 Hicks LT6
Division by Zero 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 April, 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
Differential equations Tuesday 14th May, 1630—1830 Arts Tower LT2
Mechanics, Probability and Stats I TBC TBC
Mechanics, Probability and Stats II TBC TBC
Mechanics, Probability and Stats III TBC TBC
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

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
Inequalities Cancelled (strike) Tuesday 27th February, 1630—1830 Hicks G34a
Calculus Cancelled (strike) Tuesday 6th March, 1630—1830 Hicks G34a
Vectors Cancelled (strike) Tuesday 13th March, 1630—1830 Hicks G34a
Numbers, sequences, series
(with Dr Evgeny Shinder)
Tuesday 20th March, 1630—1830 Hicks G34a
Hyperbolic functions Inequalities Tuesday 17th April, 1630—1830 Hicks G34a
Complex numbers
(with Dr Fionntan Roukema)
Tuesday 24th April, 1630—1830 Hicks G34a
Proof and series Calculus Tuesday 1st May, 1630—1830 Hicks G34a
Differential equations Vectors 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

Subject Date and time Venue
Proof Tuesday 24th January 2017 (1600–1800) Hicks E36
Division by zero Tuesday 31st January 2017 (1600–1800) Hicks E36
Coordinate geometry Tuesday 7th February 2017 (1600–1800) Hicks E36
Trigonometry Tuesday 14th February 2017 (1600–1800) Hicks E36
Half term in Sheffield: no class
Inequalities Tuesday 28th February 2017 (1600–1800) Hicks E36
Calculus Tuesday 7th March 2017 (1600–1800) Hicks E36
Vectors Tuesday 14th March 2017 (1600–1800) Hicks E36
Numbers, sequences, series
(with Dr Evgeny Shinder)
Tuesday 21st March 2017 (1600–1800) Hicks E36
Applied mathematics
(with Prof Alan Zinober)
Monday 27th March 2017 (1600–1800) Hicks G7
(STEP 3) Hyperbolic functions Tuesday 28th March 2017 (1600–1800) Hicks E36
Easter holidays: no classes
Applied and probability 1
(with Prof Alan Zinober)
Monday 24th April 2017 (1600–1800) Hicks G7
(STEP 3) Complex numbers
(with Dr Fionntan Roukema)
Tuesday 25th April 2017 (1600–1800) Hicks E36
(STEP 3) Proof, series, trigonometry Tuesday 2nd May 2017 (1600–1800) Hicks E36
Applied and probability 2
(with Prof Alan Zinober)
Wednesday 3rd May 2017 (1600–1800) Hicks G7
(STEP 3) Differential equations Tuesday 9th May 2017 (1600–1800) Hicks E36
Mock exam (STEP 1) Tuesday 23rd May 2017 (1330-1630) Hicks LT 11
Mock exam (STEP 2) Wednesday 24th May 2017 (1330-1630) Hicks LT 11
Mock exam (STEP 3) Thursday 25th May 2017 (1330-1630) Hicks LT 11