Q.1
14 Marks(a)
Find the complete integral of
(b)
State
1)Liouville's Theorem
2)Maximum-modulus theorem
(c)
Define Harmonic Function. Show that is harmonic in some domain and find a harmonic conjugate of
Also asked in Summer 2025 Q1c
Gujarat Technological UniversitySummer 2026 examination
GTU 3140610 Complex Variables and Partial Differential Equations Summer 2026 Question Paper & PDF
B.E. · Civil Engineering · Semester 4 · Subject code 3140610
- Total
- 70 marks
- To pass
- 23 marks (33%)
- Duration
- 2.5 Hours 10:30 AM – 1:00 PM
- Questions
- 5 with internal choice
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10 of 25 questions are types of question GTU sets again with new data. Each is marked below with the years it appeared.See all 8 repeated 3140610 questions, most asked first
Q.2
14 Marks(a)
Define Residue at simple pole. Discuss
(b)
Solve
(c)
State Cauchy's Residue theorem. Evaluate by using Cauchy's Residue theorem
Also asked in Summer 2025 Q2b, Summer 2025 Q2c
OR
Q.3
14 Marks(b)
Describe how to construct the Mobius transformation that maps onto respectively
Also asked in Summer 2025 Q3c
(c)
Evaluate where is the circle
OR
(a)
Evaluate where is the unit circle
(b)
Describe how to construct the Mobius transformation that maps onto respectively
Also asked in Summer 2025 Q3c
(c)
Evaluate where
Q.4
14 MarksOR
Q.5
14 Marks(a)
Express the complex number in polar form
(b)
Find the particular integral of
OR
(a)
Find the principal argument of
(b)
Find the particular integral of
More Complex Variables and Partial Differential Equations papers
Questions repeat across sessions. Working through two or three papers shows you which topics GTU asks most.
Other Semester 4 subjects
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About this paper
Official Gujarat Technological University (GTU) examination paper for Complex Variables and Partial Differential Equations (Summer 2026, B.E. · Civil Engineering, Sem 4). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.
Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.