Module 0: Introduction, Motivation and Fundamentals

We introduce numerical analysis as a way of solving mathematical problems resulting from the modelling of physics, and a means of processing and understanting data. The course structure is laid out, and we cover some fundamentals necessary for the main body of the course, namely: Taylor series approximation, computer representation of numbers, and continuity and differentiability of functions. A quick guide to the mathematical notation used in this course is collected in I: Notation.

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Supporting reader: Section 1.1

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None

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Supporting reader: Section 1.1

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None

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Supporting reader: Reader table of contents

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None

Files: mp4, svg

Supporting reader: Section 1.1

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None

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Supporting reader: Section 1.3

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Supporting reader: Sections 1.2.1, 1.2.2

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18:45 - An error: I say there are \(10^9\) numbers in the interval \([10^{13},10^{14}]\) which is far too low. The real value is \(N = (10^{14} - 10^{13}) / 10^{-5} = 9\times 10^{18}\).

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Supporting reader: Sections 1.2.3

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None

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Supporting reader: n/a

Corrections/Notes/FAQs:

Title should be "Functions" instead of "Notation".

Files: svg

Supporting reader: n/a

Corrections/Notes/FAQs:

No video is associated with this svg - it's intended as a reference sheet.

Total time: 2:00:30

dr. R. Dwight ≤r.p.dwight@tudelft.nl≥ - 2024-02-26