Methods in Calculus

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Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

Tutorial Videos

Leibnitz's Theorem – introduction | ExamSolutions

Leibnitz's Theorem – introduction | ExamSolutions by ExamSolutions

Methods in Calculus 1 • Differentiation: Leibnitz's Theorem • FP1 Ex7A • 🧩

Methods in Calculus 1 • Differentiation: Leibnitz's Theorem • FP1 Ex7A by Bicen Maths

Leibnitz's Theorem – Example | ExamSolutions

Leibnitz's Theorem – Example | ExamSolutions by ExamSolutions

7.1 Leibnitz's theorem and nth derivatives (FP1 – Chapter 7: Methods in calculus)

7.1 Leibnitz's theorem and nth derivatives (FP1 – Chapter 7: Methods in calculus) by Hinds Maths

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 1-5

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 767a: Determine the nth derivative of a product using Leibnitz’s theorem. (not yet active)
• 767b: Determine the nth derivative of a product involving a hyperbolic function, using Leibnitz’s theorem. (not yet active)
• 767c: Find a general result, in terms of n, for the nth derivative of a product. (not yet active)
• 767d: Use Leibtnitz’s theorem to find a coefficient of a Taylor series expansion. (not yet active)
• 767: Exam Practice: Leibnitz’s theorem

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Online Platform

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

Tutorial Videos

AQA A-Level Further Maths D7-03 Limits: Introducing l'Hôpital's Rule

AQA A-Level Further Maths D7-03 Limits: Introducing l'Hôpital's Rule by TLMaths

Edexcel A Level Further Maths Further Pure 1 | L'Hopital's Rule

Edexcel A Level Further Maths Further Pure 1 | L'Hopital's Rule by AJMaths

7.2 L'Hospital's rule (FP1 – Chapter 7: Methods in calculus)

7.2 L'Hospital's rule (FP1 – Chapter 7: Methods in calculus) by Hinds Maths

L'hopital's rule

L'hopital's rule by The Organic Chemistry Tutor

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No Live Lesson from Bicen Maths Yet

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 6-9

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 768a: Use L’Hopital’s rule once to evaluate a limit that involves the indeterminate form 0/0 or ±∞/±∞ (not yet active)
• 768b: Use L’Hopital’s rule twice to evaluate a limit that involves the indeterminate form 0/0 or ±∞/±∞ (not yet active)
• 768c: Use L’Hopital’s rule to evaluate a limit involving textrmcosec x, cot x and sec x (not yet active)
• 768d: Use L’Hopital’s rule to evaluate limits involving 1^∞ or 0 × ∞ (not yet active)
• 768: Exam Practice: L’Hopital’s rule

Enrichment Video

Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus

3Blue1Brown: Limits, L'Hôpital's rule, and epsilon delta definitions

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Online Platform

• Bossmaths interactive 2×2 transformations and questions

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

Tutorial Videos

The Weierstrass Substitution (Introduction) | ExamSolutions

The Weierstrass Substitution (Introduction) | ExamSolutions by ExamSolutions

weierstrass substitution for integrations, intro

weierstrass substitution for integrations, intro by blackpenredpen

7.3 Weierstrass substitution (FP1 – Chapter 7: Methods in calculus)

7.3 Weierstrass substitution (FP1 – Chapter 7: Methods in calculus) by Hinds Maths

The Weierstrass Substitution (part 2) | ExamSolutions

The Weierstrass Substitution (part 2) | ExamSolutions by ExamSolutions

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No Live Lesson from Bicen Maths Yet

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• Dr Frost Slides 10-12

Extra Questions

• Dr Frost Questions (very short)

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 769a: Use t-formulae to turn a more complex trigonometric integration into a simpler one in terms of t. (not yet active)
• 769b: Use t-formulae to integrate a more complex trigonometric expression. (not yet active)
• 769c: Determine a definite integral using a tangent half-angle substitution. (not yet active)
• 769: Exam Practice: Tangent half-angle substitution (t-formulae or Weierstrass substitution) for integration

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Online Platform

• Bossmaths interactive 3×3 transformations and questions

External Whole Topic Past Paper Style Questions

• WW Dr Frost Style QQQs (Version 1) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
• WW Dr Frost Style QQQs (Version 2) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
• WW Dr Frost Style Summary Sheet Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)

Worksheets

• Physics & Maths Tutor
  • FP1 Ch.7 Methods in Calculus: Questions by topic