Course - Continuous Mathematics HT23

Created: January 14, 2023 | Updated: September 30, 2025 | Read markdown | About these notes | View in context | Study these flashcards

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“Computer science applications increasingly rely on calculus, particularly differentiation of multivariate functions. This course introduces the concept with a view to later applications in Machine Learning, some aspects of Security using information theory, and with relevance to Computer Graphics. It does so by presenting first the mathematical basis and then introductory algorithms for numerical computing. The common point of the course is Taylor’s theorem; we see how some algorithms arise from it, and some others can be analysed using it.”

• Course Webpage
• Lecture Notes
• Other courses this term: Courses HT22^U
• Predecessor to: Course - Machine Learning MT23^U

Notes

• Notes - Continuous Mathematics HT23, Continuity^U
• Notes - Continuous Mathematics HT23, Convergence^U
• Notes - Continuous Mathematics HT23, Convexity^U
• Notes - Continuous Mathematics HT23, Definiteness^U
• Notes - Continuous Mathematics HT23, Derivatives^U
• Notes - Continuous Mathematics HT23, Error^U
• Notes - Continuous Mathematics HT23, Floating point numbers^U
• Notes - Continuous Mathematics HT23, Lagrange multipliers^U
• Notes - Continuous Mathematics HT23, Optimisation^U
• Notes - Continuous Mathematics HT23, Root-Finding^U
• Notes - Continuous Mathematics HT23, Taylor’s theorem^U
• Notes - Continuous Mathematics HT23, Misc^U

Problem Sheets

• Sheet 1, solutions to starred exercises
• Sheet 2, solutions to starred exercises
• Sheet 3, solutions to starred exercises
• Sheet 4, solutions to starred exercises

Lectures

• Lecture - Continuous Mathematics HT23, I^U
• Lecture - Continuous Mathematics HT23, II^U
• Lecture - Continuous Mathematics HT23, III^U
• Lecture - Continuous Mathematics HT23, IV^U
• Lecture - Continuous Mathematics HT23, V^U
• Lecture - Continuous Mathematics HT23, VI^U
• Lecture - Continuous Mathematics HT23, VII^U
• Lecture - Continuous Mathematics HT23, VIII^U
• Lecture - Continuous Mathematics HT23, IX^U
• Lecture - Continuous Mathematics HT23, X^U
• Lecture - Continuous Mathematics HT23, XI^U
• Lecture - Continuous Mathematics HT23, XII^U

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