Prior content: CP1 Series, A2 Sequences & Series
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Contents
- Whole Topic Notes
- 2A Method of Differences
- 2B Higher Derivatives for Maclaurin Series
- 2C Maclaurin Series
- 2D Composite Maclaurin Series
- 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
Dr Frost
- Dr Frost A2 Core Pure Series Section
- Dr Frost A2 Core Pure Series Slides
- Blank Notes to Follow Slides PDF1 and PDF2 (Courtesy of Bicen Maths)
Acute Learning Whole Chapter Problem Pairs
Notes
- Physics & Maths Tutor
- CP2 Ch.2 Series: Cheat sheet
2A Method of Differences
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of Bicen Maths)
Download Slides
Extra Questions
- Dr Frost Questions (WW)
- Dr Frost Questions from Old Spec Assembled by Dr Frost
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 723a: Simplify the sum of a subtraction of fractions where consecutive terms cancel. (not yet active)
- 723b: Simplify a sum of quadratic term by writing as the difference of cubes. (not yet active)
- 723c: Simplify the sum of a fractional expression by splitting into (two) partial fractions. (not yet active)
- 723d: Simplify the sum of a subtraction of fractions with more complex cancelling of terms. (not yet active)
- 723e: Simplify the sum of a fractional expression by splitting into (two) partial fractions, with more complex cancelling of terms. (not yet active)
- 723f: Simplify the sum of a fractional expression by splitting into three partial fractions. (not yet active)
- 723g: Simplify a more complex summation of terms that combines method of differences with a summation of constant, linear and quadratic terms. (not yet active)
- 723h: Use a result obtained from the method of differences to find a summation between two more arbitrary bounds. (not yet active)
- 723: Exam Practice: Method of differences for summation of series
Other resources
3Blue1Brown Linear transformations and matrices | Chapter 3, Essence of linear algebra
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 2×2 transformations and questions
Worksheets
- Mathshelper (Jon Stone)
- MathedUp
- MadAsMaths (T. Madas)
- Recurrence Relations Q73 (difficulty 5 of 5)
- Series Summation Practice Differences Basic Q1–8; Differences Standard Q1–8; Differences Hard Q1–3; Differences Enrichment Q1–15 (difficulty 2–5 of 5)
- Pret Homework (@DrBennison)
- Method of Differences (@DrBennison, docx)
2B Higher Derivatives for Maclaurin Series
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of Bicen Maths)
Download Slides
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
Online Platforms
- Khan Academy
- Taylor & Maclaurin polynomials: Videos & practice
Worksheets
- MadAsMaths (T. Madas)
- Series Expansions Maclaurin Standard Q1, 3, 6, 7, 11, 13, 15–18; Maclaurin Hard Q1, 2, 5 (difficulty 3–4 of 5)
2C Maclaurin Series
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of Bicen Maths)
Download Slides
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
- 724b: Derive Maclaurin expansions of standard functions. (not yet active)
- 724c: Derive the Maclaurin expansion of inverse trigonometric functions. (not yet active)
- 724i: State the valid domain for a Maclaurin expansion. (not yet active)
- 724j: Use terms of a Maclaurin expansion to get an expression of a value. (not yet active)
- 724: Exam Practice: Maclaurin series
Other resources
Enrichment Video
3Blue1Brown: Taylor series
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 3×3 transformations and questions
Activities
- Ben Sparks (GeoGebra)
- Maclaurin Series (Taylor Series at 0): GeoGebra
Worksheets
- MadAsMaths (T. Madas)
- Series Expansions Maclaurin Standard Q19; Maclaurin Enrichment Q2 (difficulty 4–5 of 5)
2D Composite Maclaurin Series
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Download Blank Notes
(Courtesy of Bicen Maths)
Download Slides
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
- 724d: Determine the Maclaurin expansion of an expression f(x)g(x) using standard results for f and g. (not yet active)
- 724e: Determine the Maclaurin expansion of an expression f(g(x)) for a standard expansion f. (not yet active)
- 724f: Determine the Maclaurin expansion of an expression f(g(x)) for a standard expansion g. (not yet active)
- 724g: Determine the Maclaurin expansion of an expression f(g(kx)) using standard expansions for both f and g. (not yet active)
- 724h: Determine the Maclaurin expansion of ln(f(x)) by using laws of logs. (not yet active)
- 724k: Determine the Maclaurin expansion using implicit differentiation. (not yet active)
- 724: Exam Practice: Maclaurin series
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 2×2 transformations and questions
Worksheet & Activities
- MEI activities from old FP1
Online Platforms
- Khan Academy
- Maclaurin series of standard functions: Videos & practice
Worksheets
- MadAsMaths (T. Madas)
- Series Expansions Maclaurin Basic Q1–6; Maclaurin Standard Q2, 4, 5, 8–10, 12, 14, 20; Maclaurin Hard Q3, 6, 7; Maclaurin Enrichment Q1; Mixed Series Q1, 2 (difficulty 2–5 of 5)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for Core Pure Series
Download PPQs as WW Powerpoint for Core Pure Differentiation (for Maclaurin 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.)
- Advanced Highers Matrices Exam Questions & Answers
Worksheets
- Jethwa Maths
- 10 Minute Starters: Series
- Physics & Maths Tutor
- CP2 Ch.2 Series: Questions by topic
- MadAsMaths (T. Madas)
- Series Expansions Maclaurin Hard Q4; Maclaurin Enrichment Q3, 5–9 (difficulty 4–5 of 5)
- Dr Austin Maths