Panjab University Chandigarh | 2nd
Real Analysis 2
📚 Syllabus - RA2 (MSC-Math 2nd)
UNIT-I
(i) Differentiation: Differentiation of vector-valued functions.
(ii) Functions of several variables: The space of linear transformations on Rn to Rm as a metric space. Differentiation of a vector-valued function of several variables. The inverse function theorem The implicit function theorem.
(iii) Lebesgue measure: Introduction. Outer measure. Measurable sets and Lebesgue measure. A nonmeasurable set. Measurable functions. Littlewood's three principles.
UNIT-II
(iv) The Lebesgue integral: The Lebesgue integral of a bounded function over a set of finite measure. The integral of a non-negative function. The general Lebesgue integral. Convergence in measure.
(v) Differentiation and Integration: Differentiation of monotone functions. Differentiation of anintegral. Absolute continuity. Convex functions.
Contribute to Our Library
Help us expand our collection by uploading your question papers.
About This Question Paper Collection
Browse RA2 2nd question papers for MSC-Math students at Panjab University Chandigarh. This page helps students review question patterns, prepare for exams, and understand how previous papers are structured.
Select a paper below to open year-wise question papers, solutions, or available answer content where listed on BRpaper.
How Students Can Use These Papers
Old question papers for Real Analysis 2 are a quick way to see how Panjab University Chandigarh has structured exams in the past — useful for timing practice and identifying high-priority topics.
Treat them as a supplement, not a replacement, for the latest syllabus and official notices, and use them to build confidence before the actual exam.
FAQ
Frequently Asked Questions
Helpful answers about this subject, papers, and exam preparation.
01 Where can I find Real Analysis 2 previous year question papers for Master of Science in Mathematics, 2nd semester?
This page lists Real Analysis 2 question papers uploaded for Panjab University Chandigarh Master of Science in Mathematics, 2nd semester, organized for subject-wise browsing where available.
02 Are these official Panjab University Chandigarh question papers?
BRpaper is not the official website of Panjab University Chandigarh. These papers are shared for reference and revision purposes only and are not official university material.
03 How can previous year Real Analysis 2 papers help in exam preparation?
Reviewing past papers can help you understand how questions are typically framed, notice commonly repeated topics, and get a sense of the exam pattern before your own exam.
04 What kind of topics does Real Analysis 2 usually cover?
The question papers here relate to the official Real Analysis 2 syllabus set by the university for this course and semester.
05 Does this page include a Real Analysis 2 previous year question paper or solved answers?
This page focuses on providing access to the previous year question papers themselves. A separate question bank or solved answers may not be available for every paper.
06 Can I find papers for other subjects in the same Master of Science in Mathematics?
Yes, BRpaper organizes papers by university, course, stream, and semester, so you can browse other subjects within the same Panjab University Chandigarh Master of Science in Mathematics.
Important
Important Disclaimer
BRpaper is not the official website of Panjab University Chandigarh or any institution. BRpaper organizes available question papers for student reference only. For official notices, date sheets, results, syllabus changes, and academic updates, students should visit the official university website.