Certificate in Math Topology for Data Science

Name: Certificate in Math Topology for Data Science
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The Certificate in Math Topology for Data Science is a comprehensive course that bridges the gap between advanced mathematics and data science. This certification program highlights the importance of topology in data analysis, machine learning, and artificial intelligence.

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AboutThisCourse

With the increasing demand for data scientists who possess a strong mathematical foundation, this course is essential for career advancement in the data science industry. The program equips learners with essential skills in topological data analysis, algebraic topology, and computational topology. It also covers the application of topology in big data, social networks, and machine learning algorithms. By the end of the course, learners will have a deep understanding of how topology can be used to extract valuable insights from complex data sets, making them highly valuable in various industries such as finance, healthcare, technology, and research institutions.

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CourseDetails

• Topological Spaces: Introduction to topological spaces, open and closed sets, basis, and subbasis.
• Continuity: Definition and properties of continuous functions, sequential continuity, and uniform continuity.
• Compactness: Compact topological spaces, Heine-Borel theorem, and compactness in metric spaces.
• Connectedness: Connected and disconnected spaces, path components, and locally path-connected spaces.
• Convergence of Functions: Pointwise and uniform convergence, Dini's theorem, and Arzela-Ascoli theorem.
• Homotopy and Homology: Definition and properties of homotopic functions, homology groups, and singular homology.
• Fixed-Point Theorems: Brouwer's fixed-point theorem, Schauder's fixed-point theorem, and Lefschetz fixed-point theorem.
• Manifolds: Definition and properties of manifolds, differential forms, and integration of differential forms.
• Algebraic Topology: Fundamental group, covering spaces, and van Kampen's theorem.

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ProficiencyEnglish
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FastTrack GBP £140

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ThreeFourHoursPerWeek
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StandardMode GBP £90

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TwoThreeHoursPerWeek
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CERTIFICATE IN MATH TOPOLOGY FOR DATA SCIENCE

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London School of International Business (LSIB)

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05 May 2025

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