
Description
This programme formalises the notion of finding the area of a bounded region by 'square counting'. It defines the Riemann integral through area and proves that a continuous function is integral thr...ough area and prove that a continuous function in integrable. This programme goes on to prove the fundamental theorem of calculus which states that an integral on a continuous function gives rise to a primitive.
This programme formalises the notion of finding the area of a bounded region by 'square counting'. It defines the Riemann integral through area and proves that a continuous function is integral thr...ough area and prove that a continuous function in integrable. This programme goes on to prove the fundamental theorem of calculus which states that an integral on a continuous function gives rise to a primitive.
Module code and title: | M203, Introduction to pure mathematics |
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Item code: | M203; 26 |
First transmission date: | 1980 |
Published: | 1980 |
Rights Statement: | |
Restrictions on use: | |
Duration: | 00:21:41 |
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Producer: | James Burge |
Contributors: | Alan Best; Colin Rourke |
Publisher: | BBC Open University |
Keyword(s): | Area; Fundamental Theorem of Calculus; Primitive; Riemann Integral; Square Counting |
Master spool number: | HOU3254 |
Production number: | FOUM060W |
Videofinder number: | 4104 |
Available to public: | no |