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Contents
- Whole Topic Notes
- 8A Solving First Order Differential Equations
- 8B Solving Second Order Differential Equations
- 8C Simpson’s Rule
- 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.8 Numerical Methods: Cheat sheet
8A Solving First Order Differential Equations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
Numerical Methods 1 • Introduction • FP1 Ex8A by Bicen Maths
8.1 Solving first order differential equations (FP1 – Chapter 8: Numerical methods) by Hinds Maths
A Level Further Maths | Further Pure 1 | Euler's Method by AJMaths
Euler's method | Differential equations| AP Calculus BC | Khan Academy by Khan Academy
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
- 771a: Use Euler’s method to find approximate solutions to first-order differential equations, using one iteration. (not yet active)
- 771b: Use Euler’s method to find approximate solutions to first-order differential equations, using two or more iterations. (not yet active)
- 771c: Use Euler’s method to find approximate solutions to first-order differential equations involving hyperbolic functions. (not yet active)
- 771d: Use Euler’s method to find approximate solutions to coupled first-order differential equations. (not yet active)
- 771e: Use the improved Euler’s method yr+1 = yr-1 + 2hf(xr,yr) for solving first order differential equations. (not yet active)
- 771: Exam Practice: Euler’s method for numerical solutions to first-order differential equations
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
Online Platforms
- Khan Academy
- Euler’s method: Videos & practice
Worksheets
- MadAsMaths (T. Madas)
- Numerical Methods for Differential Equations 1st Order Q1–14 (difficulty 2–3 of 5)
8B Solving Second Order Differential Equations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
8.2 Solving Second-Order Differential Equations (FP1 – Chapter 8: Numerical methods) by Hinds Maths
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
- 774a: Use Euler’s method to find approximate solutions to second-order differential equations. (not yet active)
- 774b: Use Euler’s method to find approximate solutions to second-order differential equations that also contain the first derivative. (not yet active)
- 774: Exam Practice: Euler’s method for numerical solutions to second order differential equations (not yet active)
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 2×2 transformations and questions
Worksheets
- MadAsMaths (T. Madas)
- Numerical Methods for Differential Equations 2nd Order Q1–9 (difficulty 2–4 of 5)
8C Simpson’s Rule
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
Numerical Integration – Simpson's Rule : ExamSolutions Maths Revision by ExamSolutions
AQA A-Level Further Maths J1-04 Numerical Methods: Simpson's Rule Example by TLMaths
A Level Further Maths | Further Pure 1 | Simpson's Rule by AJMaths
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
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 3×3 transformations and questions
Worksheets
- Mathshelper (Jon Stone)
- MadAsMaths (T. Madas)
- Numerical Integration Simpson’s Rule Q1–20 (difficulty 2–4 of 5)
Activities
- The Chalkface
- Numerical Integration: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for Further Pure 1 Differential Equations
Download PPQs as WW Powerpoint for Further Pure 1 Simpson’s Rule
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
- MathedUp
- Physics & Maths Tutor
- FP1 Ch.8 Numerical Methods: Questions by topic