Certificate in Math Topology for Data Science
-- viewing nowThe 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.
7,167+
Students enrolled
GBP £ 140
GBP £ 202
Save 44% with our special offer
About this course
100% online
Learn from anywhere
Shareable certificate
Add to your LinkedIn profile
2 months to complete
at 2-3 hours a week
Start anytime
No waiting period
Course Details
• 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.
Career Path
Entry Requirements
- Basic understanding of the subject matter
- Proficiency in English language
- Computer and internet access
- Basic computer skills
- Dedication to complete the course
No prior formal qualifications required. Course designed for accessibility.
Course Status
This course provides practical knowledge and skills for professional development. It is:
- Not accredited by a recognized body
- Not regulated by an authorized institution
- Complementary to formal qualifications
You'll receive a certificate of completion upon successfully finishing the course.
Why people choose us for their career
Loading reviews...
Frequently Asked Questions
Course fee
- 3-4 hours per week
- Early certificate delivery
- Open enrollment - start anytime
- 2-3 hours per week
- Regular certificate delivery
- Open enrollment - start anytime
- Full course access
- Digital certificate
- Course materials
Get course information
Earn a career certificate