Q.1
14 Marks(a)
Find modulus and principal argument of z .
(c)
Solve the given system of linear equations by Gauss-elimination method.
Also asked in Summer 2025 Q3c OR
Gujarat Technological UniversitySummer 2026 examination
GTU 2141905 Complex Variables and Numerical Methods Summer 2026 Question Paper & PDF
B.E. · Mechanical Engineering · Semester 4 · Subject code 2141905
- Total
- 70 marks
- To pass
- 23 marks (33%)
- Duration
- 2.5 Hours 10:30 AM – 1:30 PM
- Questions
- 5 with internal choice
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13 of 25 questions are types of question GTU sets again with new data. Each is marked below with the years it appeared.See all 12 repeated 2141905 questions, most asked first
Q.2
14 Marks(a)
Sketch Is it connected?
(c)
Show that is a harmonic function. Also find its harmonic conjugate.
Also asked in Summer 2025 Q5b OR
OR
(c)
Show that .
Q.3
14 Marks(a)
Determine and sketch the region where vertices are i, under the transformation
Also asked in Summer 2025 Q5a OR
(b)
Evaluate along the parabola from to
OR
(a)
Classify the singularities of .
(b)
Discuss the convergence of and also find the radius of convergence.
Also asked in Summer 2025 Q4b OR
(c)
Evaluate
Q.4
14 Marks(a)
Prove that .
(b)
By Newton-Raphson method find the positive root of upto 3 decimal places.
Also asked in Summer 2025 Q3b
(c)
Apply Gauss-elimination method to solve the following system of linear equations:
.
Also asked in Summer 2025 Q3c OR
OR
(b)
From the following data, find the number of person earning weekly wages between 100 and 110 rupees. Wages inRs. Below 80 80-100 100-120 120-140 140-160 No. of Person(in thousand) 250 120 100 70 50
Q.5
14 Marks(a)
Write Gaussian formula for one, two and three points.
(b)
Using Taylor’s Series method, to solve . Also find .
(c)
Apply Runge-Kutta method of fourth order to calculate y , given that and
OR
(b)
Determine the interpolating polynomial of degree three using Lagrange’s interpolation for the table given below: x -1 0 1 3 y 2 1 0 -1
(c)
Solve the following equations by Gauss-Seidel method correct up to two decimal places.
Also asked in Summer 2025 Q2c OR
More Complex Variables and Numerical Methods papers
Questions repeat across sessions. Working through two or three papers shows you which topics GTU asks most.
Other Semester 4 subjects
BE Mechanical
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About this paper
Official Gujarat Technological University (GTU) examination paper for Complex Variables and Numerical Methods (Summer 2026, B.E. · Mechanical 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.