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Contents
- Whole Topic Notes
- 6A Introduction to the Taylor Series
- 6B Finding Limits
- 6C Series Solutions of Differential Equations
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Word Doc
Dr Frost
- Dr Frost AS Core Pure Argand Diagrams Section
- Dr Frost AS Core Pure Argand Diagrams Slides
- Blank Notes to Follow Slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
Notes
- Physics & Maths Tutor
- FP1 Ch.6 Taylor Series: Cheat sheet
6A Introduction to the Taylor Series
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
Taylor's Series Expansions – Derivation : ExamSolutions Maths Revision by ExamSolutions
Taylor Series example in ascending powers of (x-a) : ExamSolutions Maths Revision by ExamSolutions
Taylor Series 1 • The formula • FP1 Ex6A by Bicen Maths
6.1 Taylor Series (FP1 – Chapter 6: Taylor Series) by Hinds Maths
Download Blank Notes
Word Doc
Download Slides
2A Slides (Courtesy of Owen134866)
Dr Frost resources
No Live Lesson from Bicen Maths Yet
Download Blank Notes
Word Doc
(Courtesy of King’s Chester Maths Department)
Download Slides
- 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
- 764a: Determine the Taylor expansion of a function f(x) as powers of (x-a) (not yet active)
- 764b: Determine the Taylor expansion of a function f(x+a) as powers of x (not yet active)
- 764c: Determine the Taylor expansion of a function f(x) as powers of (x-a) involving more complex trigonometric expressions. (not yet active)
- 764d: Determine the Taylor expansion of a function f(x+a) as powers of x involving more complex trigonometric expressions. (not yet active)
- 764f: Use a Taylor expansion to find an approximation to a value. (not yet active)
- 764: Exam Practice: Taylor series
Other resources
Enrichment Video
3Blue1Brown: Taylor series
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
Online Platforms
- Khan Academy
- Taylor & Maclaurin polynomials: Videos & practice
Worksheets
- MadAsMaths (T. Madas)
- Series Expansions Taylor Basic Q1–4; Taylor Standard Q1–3 (difficulty 3–4 of 5)
6B Finding Limits
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
AQA A-Level Further Maths D7-01 Limits: Finding a Limit using Maclaurin Series Example 1 by TLMaths
Maclaurin series to evaluate a limit (KristaKingMath) by Krista King
A Level Further Maths by AJMaths
Download Blank Notes
Word Doc
Download Slides
2B Slides (Courtesy of Owen134866)
Dr Frost resources
Download Blank Notes
Word Doc
(Courtesy of King’s Chester Maths Department)
Download Slides
- 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
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 2×2 transformations and questions
6C Series Solutions of Differential Equations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
Solving differential equations by Taylor's series : ExamSolutions Maths Revision by ExamSolutions
A Level Further Maths by AJMaths
Taylor Series Solutions to Initial Value Problems – 2nd Order by Mathispower4u
Download Blank Notes
Word Doc
Download Slides
2C Slides (Courtesy of Owen134866)
Dr Frost resources
Download Blank Notes
Word Doc
(Courtesy of King’s Chester Maths Department)
Download Slides
- 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
- 766a: Use the Taylor method to find a series solution of a differential equation in powers of x, where x0 = 0 (not yet active)
- 766b: Use the Taylor method to find a series solution of a differential equation in powers of x-a, where x0 = a (not yet active)
- 766: Exam Practice: Series solution of differential equations using Taylor series
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 3×3 transformations and questions
Worksheets
- MadAsMaths (T. Madas)
- Series Expansions ODE Taylor Basic Q1–3; ODE Taylor Standard Q1–3 (difficulty 2–3 of 5)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for Further Pure 1 Taylor Series
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.6 Taylor Series: Questions by topic