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G28 - (Year 11 to Year 12) Calculus without algebra using primary school arithmetic and Excel.
(Year 11 To Year 12)
Session Description
The Fundamental Theorem of Calculus that connects the two branches of differential and integral calculus is one of the greatest milestones and discoveries in the history of Mathematics. Although algebra is used to prove this important theorem, students who struggle with algebra miss out on appreciating how derivatives and integrals are intimately related. However, without any algebra, we can show the fact of this theorem using only the four operations of arithmetic (primary school maths!) and Excel. We will analyse functions such as polynomials, trigonometric, exponential, logarithmic and others by dividing them into 100 (or more) rectangles. Then calculating dy/dx (using subtractions and divisions) and areas (using multiplications and additions), the original function can be reconstructed after differentiation and integration, hence showing the inverse nature of these two branches of calculus.
KEY TAKEAWAYS:
1. A non-algebraic demonstration of the fundamental theorem of calculus.
2. Use of primary school arithmetic (addition, subtraction, multiplication and division) to demonstrate the fundamental theorem of calculus.
3. Use of simple operations in Excel to demonstrate the fundamental theorem of calculus.
Remember: Delegates should be familiar with the fundamental theorem of calculus and have a basic working knowledge of Excel. You are invited to bring you laptop with Excel installed so you can implement the demonstration of this theorem.
KEY TAKEAWAYS:
1. A non-algebraic demonstration of the fundamental theorem of calculus.
2. Use of primary school arithmetic (addition, subtraction, multiplication and division) to demonstrate the fundamental theorem of calculus.
3. Use of simple operations in Excel to demonstrate the fundamental theorem of calculus.
Remember: Delegates should be familiar with the fundamental theorem of calculus and have a basic working knowledge of Excel. You are invited to bring you laptop with Excel installed so you can implement the demonstration of this theorem.