Further Calculus
We have below bronze, silver and gold tutorials for our Higher Maths Further Calculus topic. Typically as you work through the modules, the difficulty of the skills increase by one step ensuring smooth progression. Simply click on the video to play it and pause it at the relevant points for you to attempt the questions. Each tutorial has a corresponding worksheet for you to download if additional practice is required. Make sure you have a pen and paper handy! Be sure to mark your work for every exercise attempted and record your score and time taken in your recording grid.
Essential prior knowledge:-
Higher Maths; Topic 6 and topic 9
- Differentiation
- Integration
Contents:-
13.1 - Further differentiation
13.2 - Further integration
13.1 - Further differentiation
At bronze level in this module we learn how to differentiate expressions in brackets. At silver level, we learn how to differentiate simple trigonometric expressions.
At gold level, we learn how to differentiate trigonometric expressions with brackets. Remember to try all of these questions!
Video 134: Outcome 1 - Further differentiation with brackets. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 135: Outcome 2 - Further differentiation with trigonometry. Remember to copy down the worked examples and take notes. These will help you revise and remember!
Video 136: Outcome 3 - Further differentiation with brackets and trigonometry. This is the final video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?
13.2 - Further Integration
At bronze level, in this module, we learn how to integrate expressions involving a bracket. At silver level we learn how to integrate simple, trigonometric expressions.
At gold level, we learn how to evaluate definite integrals, in the form of trigonometric functions, with radian limits.
Video 137: Outcome 1 - With brackets. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 138: Outcome 2 - With trigonometry. Remember to copy down the worked examples and take notes. These will help you revise and remember!
Video 139: Outcome 3 - Evaluating definate integrals with radian limits. This is the final video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?
Past Paper Questions
SQA Exam Questions
You will find below a collection of Further Calculus SQA past paper questions. You should click on a question, pause the video when instructed and give the question your best shot. Then un-pause the video and watch the worked solution. If the question is from paper 1 you should NOT use a calculator. You should make this section a regular place to come back to when revising. Even if you get the correct answer, it is recommended that you try all these questions more than once at various stages throughout the year.
13.1 - Further Differentiation
- 2023 Paper 2 Question 5
- 2022 Paper 1 Question 12
- 2019 Paper 1 Question 6
- 2018 Paper 1 Question 3
- 2017 Paper 1 Question 3
- 2017 Paper 2 Question 11
- 2016 Paper 2 Question 10
- 2016 Paper 2 Question 11
- Specimen Paper 1 Question 10
- 2010 Paper 2 Question 6(a)
- 2007 Paper 1 Question 10
- 2006 Paper 1 Question 5
- 2006 Paper 2 Question 9
- 2005 Paper 1 Question 5
- 2004 Paper 1 Question 6
- 2003 Paper 2 Question 6
- 2000 Paper 2 Question 8
- 1999 Paper 2 Question 10
13.2 - Further Integration
Congratulations!
You have completed this module - well done! Remember to go back and redo any areas of weakness, that's how we improve. If you are happy with all areas, go back to the main menu and pick another topic to practice!
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