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- Author:
-
Ciubotaru, Dan
- Subject:
- Mathematics and Statistics
- Institution Name:
- M.I.T.
- Collection:
-
MIT OpenCourseWare
- Grade Level:
- Post-secondary
- Abstract:
Analysis I covers Fundamentals of Mathematical Analysis: Convergence of Sequences and Series, Continuity, Differentiability, Riemann Integral, Sequences and Series of Functions, Uniformity, Interchange of Limit Operations. Three versions of the course are available. Each option shows the utility of abstract concepts and teaches understanding and construction of proofs. Option A chooses less abstract definitions and proofs, and gives applications where possible. Option B is more demanding and is for students with more mathematical maturity; it places more emphasis on Point-Set Topology and N-Space, whereas Option A is concerned primarily with the Real Line. Option C is a variant of Option B, with further instruction and practice in written and oral communication.
- Languages:
- English
- Material Type:
- Activities and Labs, Assessments, Full Course, Homework and Assignments, Syllabi
- Media Format:
- Text/HTML, Downloadable docs
- Conditions of Use:
-
Creative Commons Attribution-Noncommercial-Share Alike 3.0
No restrictions on your remixing, redistributing, or making derivative works.
Give credit to the author, as required.
Your remixing, redistributing, or making derivatives works comes with some
restrictions, including how it is shared.
Your redistributing comes with some restrictions. Do not remix or make
derivative works.
Copyrighted materials, available under Fair Use and the TEACH Act for US-based
educators, or other custom arrangements. Go to the resource provider to see
their individual restrictions.
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