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STEP Support Programme

Differential equations

04-S2-Q8

First order equation, curve sketching, inequality.

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[STEP II 2004 Question 8 (Pure)]

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03-S2-Q8

Stationary value, first order equation, curve sketching, limit.

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[STEP II 2003 Question 8 (Pure)]

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03-S1-Q8

Chemicals, rate of change, first order equation.

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[STEP I 2003 Question 8 (Pure)]

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01-S1-Q8

Substitution, trigonometry, second order equation.

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[STEP I 2001 Question 8 (Pure)]

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95-S2-Q8

Bacteria in nutrient medium, limit, first order equation.

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[STEP II 1995 Question 8 (Pure)]

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95-S1-Q6

Substitution.

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[STEP I 1995 Question 6 (Pure)]

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94-S3-Q4

Solution curves, curve sketching, tangent.

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[STEP III 1994 Question 4 (Pure)]

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92-S2-Q2

Second order equation, differentiation, hyperbolic functions.

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[STEP II 1992 Question 2 (Pure)]

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91-S3-Q5

Polar coordinates, integration, closed loop, area of region.

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[STEP III 1991 Question 5 (Pure)]

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91-S2-Q8

Quadratic equations, hyperbolic functions, substitution.

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[STEP II 1991 Question 8 (Pure)]

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Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)