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STEP Support Programme

Integration by parts

09-S1-Q7

Trigonometric and exponential functions, sum to product formula.

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[STEP I 2009 Question 7 (Pure)]

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04-S3-Q7

Recurrence formula, greatest value, inequality, logarithm.

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[STEP III 2004 Question 7 (Pure)]

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98-S2-Q4

Recurrence formula, trigonometric integral.

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[STEP II 1998 Question 4 (Pure)]

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95-S3-Q2

Recurrence formula.

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[STEP III 1995 Question 2 (Pure)]

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94-S3-Q1

Reduction formula, hyperbolica functions.

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[STEP III 1994 Question 1 (Pure)]

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94-S2-Q2

Polynomials, nth derivatives, degree of polynomials.

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[STEP II 1994 Question 2 (Pure)]

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90-S2-Q8

Identity.

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[STEP II 1990 Question 8 (Pure)]

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87-S3-Q2

Trigonometric function, sine, cosine function, recurrence relation, iteration, odd, even.

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[STEP II 1987 Question 2 (Pure)]

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Spec-S3-Q6

Recurrence relation, integral, sech, hyperbolic function.

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[STEP III Specimen Question 6 (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)