Announcements
Course Description: Real Analysis I
General Information
Real Analysis I is a rigorous introduction to the theory behind calculus and real-valued functions. This course provides the mathematical foundation needed to understand advanced concepts in pure and applied mathematics. It emphasizes logical reasoning, precise definitions, and proof-based understanding of limits, continuity, and the real number system.
Main Concepts Covered
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The field and order axioms of ℝ
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Sequences and convergence
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Limits of functions
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Continuity and types of discontinuities
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Infinite series and convergence criteria
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The Intermediate Value and Extreme Value Theorems
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Compactness, completeness, and introductory topology
Course Requirements
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A solid understanding of elementary calculus and mathematical logic
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Active engagement with weekly problem sets and readings
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Regular attendance and participation in discussions
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Willingness to construct and critique mathematical proofs
Assessment Methods
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CAT 1 – Week 5
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CAT 2 – Week 10
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Final Exam – Week 15 (exact date to be announced)
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Assignments – Issued biweekly and submitted via Moodle
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Participation – Bonus marks available for active engagement
Course Facilitators
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Mr. David Mochache (Lead Instructor)
Email: dmnyakweba@gmail.com
Some sessions will also be conducted by:
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Mr. Wangila
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Mrs. Mureithi
Please refer to the course calendar for facilitator schedules.