Solved question paper for M-3 Dec-2024 (B-TECH 3rd)
Solved Question Paper
Mathematics-3 Dec-2024
PTU • B-TECH • Information Technology • 3rd • Dec-2024
mathematics-3 previous year question papers on BRpaper are organized for students of Punjab Technical University’s Bachelor of Technology program in the Information Technology stream, 3rd semester. This section makes it easier to browse subject-wise old question papers for mathematics-3, so students can review how questions are typically framed in past exams and get a sense of the exam pattern. Many students search for mathematics-3 syllabus while preparing for exams, and this page is built to support exactly that kind of subject-wise browsing and revision. BRpaper is not the official website of Punjab Technical University or any institution, and it does not publish official notices or academic updates.
These Questions are downloaded from www.brpaper.com. You can also download previous years question papers of 10th and 12th (PSEB & CBSE), B-Tech, Diploma, BBA, BCA, MBA, MCA, M-Tech, PGDCA, B-Com, BSc-IT, MSC-IT.
1. Fourier series: Periodic Functions, Euler’s Formula. Even and odd Functions, Half range
expansions, Fourier series of different waveforms.
2. Laplace transformations: Laplace transforms of various standard functions, properties of
Laplace transform
3. Partial Differential Equations: Formation of Partial Differential Equations, linear Partial
Differential Equations, Homogeneous Partial Differential Equations with constant coefficients.
4. Functions of complex variables: Limits, continuity and derivatives of the function of complex
variables, Analytic function, Cauchy- Riemann equations, conjugate functions.
5. Linear Systems and Eigen- Values: Gauss – elimination method, gauss- Jordan method, GaussSeidel
iteration method, Rayleigh’s Power method for Eigen values and Eigenvectors.
6. Differential Equations: Solutions of Initial values problems using Eulers, modified Eulers
method and Runge- kutta (upto fourth order) methods.
7. Probability distribution: Binomial, Poisson and Normal distribution.
8. Sampling Distribution & testing of Hypothesis: Sampling, Distribution of means and
variance, Chi- Square distribution, t- distribution, F- distribution. General concepts of hypothesis,
Testing a statistical Hypothesis, One and two tailed tests, critical region, Confidence interval
estimation. Single and two sample tests on proportion, mean and variance.
Solved Questions
Solved-
Examine continuity of $f(x,y)= rac{xy}{x^2+y^2}$, $(x,y)
eq (0,0)$ at $(0,0)$.Very Short Answer 2 Marks Dec-2024 • PTU B-TECHExisting answers are stored as HTML; you can edit directly without converting to Markdown.
-
If $u=x^3+y^3-3axy$, show that $ rac{partial^2 u}{partial ypartial x}= rac{partial^2 u}{partial xpartial y}$.Very Short Answer 2 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
State Cauchy convergence criterion.Very Short Answer 2 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Discuss convergence of $sum rac{1}{n^p}$, $(p>0)$ using Cauchy's integral test.Very Short Answer 2 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Discuss uniform convergence of series.Very Short Answer 2 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Define Euler's equation.Very Short Answer 2 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Solve $y=px+e^{-p}$.Very Short Answer 2 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Solve $(1+e^{x/y}),dx+e^{x/y}(1-x/y),dy=0$.Very Short Answer 2 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Solve $(D^3+D)y=0$.Very Short Answer 2 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Solve $x^2 y''-xy'+y=0$.Very Short Answer 2 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Find the volume of the greatest rectangular parallelepiped that can be inscribed in the ellipsoid $ rac{x^2}{a^2}+ rac{y^2}{b^2}+ rac{z^2}{c^2}=1$.Long Answer 5 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Discuss convergence of the sequence $left{1+ rac{1}{n}
ight}^n$.Long Answer 5 Marks Dec-2024 • PTU B-TECHExisting answers are stored as HTML; you can edit directly without converting to Markdown.
-
Discuss the convergence of the series $sum_{n=1}^{infty} rac{(-1)^{n-1}}{n^2+1}$.Long Answer 5 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Solve $(xy^2-e^{1/3})dx-x^2ydy=0$.Long Answer 5 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Solve by the method of variation of parameters $ rac{d^2y}{dx^2}+y=cosec x$.Long Answer 5 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Evaluate $iint_R x^2y^2,dx,dy$, where $R$ is $x^2+y^2le 1$ by changing to polar coordinates.Long Answer 10 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Solve $y-2px= an^{-1}(xp^2)$.Long Answer 10 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
-
Solve $(1+x)y- rac{d^2y}{dx^2}+ (1+x) rac{dy}{dx}+y=2sin(log(1+x))$.Long Answer 10 Marks Dec-2024 • PTU B-TECH
Existing answers are stored as HTML; you can edit directly without converting to Markdown.
Explore all data
PTU
PU Chandigarh
- BCOM |
- BA/BSC |
- BCA |
- MA |
- PGDCA |
- MCOM |
- MSC-Math |
- Addon |
- BBA |
- B-ARCH |
- B-LIB |
- B-EDU |
- B-PHAR |
- BA-HONS-ECON |
- BA-HONS-SS |
- BE |
- MA-Punjabi |
- MA-English |
- MA-History |
- MCA |
- MBA |
- MBA-CIT |
- MBA-Executive |
- MCOM-AF |
- MCOM-BE |
- MCOM-BI |
- MCOM-MEFB |
- BSC-Agri |
- BSC-FD |
- BSC-HS |
- ME-CSE |
- ME-IT |
- ME-ME |
- ME-ECE |
- MSC-Chemistry |
- MSC-Physics |
- MSC-Botany |
- MSC-Zoology |
- MA-Economics |
- MA-Hindi |
- LLB |
- BPED |
- LLM |
- BFA |
- B. Voc |
- BHM |
- BTM |
- M. Arch |
- M. Pharm |
- MFA |
- MTM |
- MHM |
- M.ED |
- M-Lib |
- MPED |
- MFDM |
- MGL |
- Shastri |
- M.TECH |
- ME-CHEMICAL |
- ME-FT |
- ME-ELECTRIC |
- M.TECH-ME |
- M.TECH-NN |
- M.E-BIO |
- MA-Sociology |
- MA-Political Science |
- MSc Biotechnology |
- MSc IT |
- MSc MB |
PSBTE
- DIPLOMA |
PSEB(School)
- Class 10th |
- Class 12th |
- Class 8th |
PU-PATIALA
- BCA |
- BBA |
- MBA |
- MCOM |
- BCOM |
- BCOM-HONS |
- BSC-NM |
- BA |
- B.EDU |
- BSC-AGRI |
- BA-B.EDU |
- BLIB |
- MSC-IT |
- PGDCA |
- MSC-MB |
- MSC-physics |
- BA-ENGLISH |
- MA-Punjabi |
- MSC-chemistry |
- MSC-maths |
- BSC-Medical |
- MSC-FDT |
- MSC-FN |
- MSC-BT |
- BSC-Hons-BT |
- BSC-CS |
- BSC-Hons-Math |
- BSC-CSM |
- BSC-FT |
HPTSB
- Diploma |
MRSPTU
- B-TECH |
- M-TECH |
- Ph.D (Computer Appli |
- M.Sc (Mathematics) |
- MBA |
- M.Sc (Chemistry) |
- B.Sc (Forensic Scien |
- MBA (Aviation Manage |
- B.Sc (Chemistry) |
- BBA (Aviation Manage |
- B.Sc (Mathematics) |
- BCA |
- M.Sc (Microbiology) |
- M.Planning |
- B.Sc (IT) |
- B.Sc (Dialysis Techn |
- B.Sc (Food Science & |
- B.Sc (Hons.) Mathema |
- M.Sc (Physics) |
- M.Pharmacy |
- B.Sc (MLS-MLT) |
- BMS (ATH) |
- B.Architecture |
- B.Com |
- B.Com (E-Commerce) |
- B.Sc (Operation Thea |
- M.Pharma (Pharmaceut |
- B.Sc (Fashion Design |
- M.Sc (Computer Scien |
- BA (Computer Science |
- B.Sc (Hons.) Agricul |
- B.Sc (Hons.) Aircraf |
- B.Sc (Anesthesia Tec |
- BCA & B.Sc (IT) |
- B.Sc (Graphics & Web |
- B.Sc (Hons.) Physics |
- M.Pharma (Pharmacolo |
- B.Fine Arts |
- MBA (Hospital Admini |
- B.Sc (Hons.) Chemist |
- B.Pharmacy |
- M.Sc (IT) |
- BA (Journalism and M |
- B.Design (Interior D |
- B.Com-M.Com Dual Deg |
- BCA-MCA Dual Degree |
- B.Sc (Physics) |
- B.Sc (Physics) |
- B.Sc (Cardiac Care T |
- M.Com |
- B.Sc (Cardiac Care T |
- M.Com |
- B.Sc (Non-Medical) |
- B.Sc (Non-Medical) |
- Computer Maintenance |
- B.Sc (Optometry) |
- CMPA |
- B.Sc (Fashion Techno |
- Computer Maintenance |
- B.Sc (Optometry) |
- CMPA |
- B.Sc (Fashion Techno |
- BMS (HMCT) |
- B.Com (Aviation, Log |
- BMS (HMCT) |
- BBA |
- B.Com (Aviation, Log |
- BBA |
- M.Sc (Fashion Techno |
- B.Pharmacy (Practice |
- B.Sc (Agriculture) |
- M.Sc (Fashion Techno |
- B.Pharmacy (Practice |
- B.Sc (Agriculture) |
- PGDCA |
- MCA |
- Pharm.D |
- PGDCA |
- B.Com (Hons.) |
- MCA |
- Pharm.D |
- B.Com (Hons.) |
- B.Sc (Food Science) |
- M.Sc (Food Science & |
- B.Sc (Food Science) |
- BBA-MBA Dual Degree |
- M.Sc (Food Science & |
- M.Pharma (Pharmacogn |
- BBA-MBA Dual Degree |
- M.Pharma (Pharmacogn |
FAQ
Frequently Asked Questions
Answers about this subject, solved papers, and preparation.
01 Where can I find mathematics-3 previous year question papers for Bachelor of Technology Information Technology, 3rd semester?
This page lists mathematics-3 question papers uploaded for Punjab Technical University Bachelor of Technology Information Technology, 3rd semester, organized for subject-wise browsing where available.
02 Are these official Punjab Technical University question papers?
BRpaper is not the official website of Punjab Technical University. These papers are shared for reference and revision purposes only and are not official university material.
03 How can previous year mathematics-3 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 mathematics-3 usually cover?
The question papers here relate to the official mathematics-3 syllabus set by the university for this course and semester.
05 Does this page include a mathematics-3 syllabus 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 Bachelor of Technology Information Technology?
Yes, BRpaper organizes papers by university, course, stream, and semester, so you can browse other subjects within the same Punjab Technical University Bachelor of Technology Information Technology.