GTU · First Year Common · Semesters 1 and 2

GTU 3110014 Mathematics - 1 (Maths 1) Old Question Papers & Solutions PDF

Q: Are these GTU 3110014 Mathematics - 1 papers valid for both Regular and Remedial exams?

Yes. Gujarat Technological University (GTU) follows the same 70-mark syllabus, exam blueprint, and 23-mark passing cutoff for both Regular and Remedial (ATKT/backlog) examinations. All 7 past exam sessions (2023 – 2026) serve as comprehensive preparation for either attempt.

Q: How can I download GTU 3110014 Mathematics - 1 old question papers PDF?

You can download official GTU 3110014 original question paper PDFs directly from the table above with 1 click and zero deceptive ads or wait timers. Every paper also includes interactive online questions with AI study prompts.

Q: What is the passing mark for GTU Mathematics - 1 (3110014)?

The external theory exam carries 70 marks. The minimum passing cutoff is 23 marks (33%). Exam duration is 2.5 hours.

Q: What is the GTU exam pattern for 3110014?

The examination contains 5 main questions of 14 marks each, totaling 70 marks. Questions 2 through 5 provide internal OR choices, typically split into 3-mark, 4-mark, and 7-mark questions.

Official Gujarat Technological University (GTU) old question papers PDF (Regular & Remedial) and step-by-step solved questions for Mathematics - 1 (Maths 1) across 2023 – 2026 examinations.

7 papers, 2023 – 202670 marks23 to pass2.5 hours

35 questions GTU asked more than onceAsked in all 7 papers: Discuss the maxima and minima of the function

3x^2 - y^2 + x^3

.See list

Exam papers

Summer 20265 questions · 70 marks · Solutions included

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Winter 20255 questions · 70 marks · Solutions included

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Summer 20255 questions · 70 marks · Solutions included

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Winter 20245 questions · 70 marks

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Summer 20245 questions · 70 marks

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Winter 20235 questions · 70 marks

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Summer 20235 questions · 70 marks

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Most repeated questions

35 questions GTU set in two or more of 7 papers, most repeated first. Tap a year to open that paper at the question.

Discuss the maxima and minima of the function $3x^2 - y^2 + x^3$ .
4 marksSame type asked in 7 of 7 papers
Summer 2026 Q3b OR Winter 2025 Q3c OR Summer 2025 Q3c Winter 2024 Q3c OR Summer 2024 Q4c Winter 2023 Q3c Summer 2023 Q4c
Evaluate the integral
$\int_0^1 \int_0^{2x} e^{x^2} \, dy \, dx$ by changing the order of integration.
4 marksSame type asked in 7 of 7 papers
Summer 2026 Q4b Winter 2025 Q4c Summer 2025 Q4c Summer 2025 Q4b OR Winter 2024 Q4c OR Summer 2024 Q4c OR Winter 2023 Q4b Summer 2023 Q5c
Solve the following system of equations using Gauss Jordan Method:
$\begin{aligned} x + 2y - z &= 1 \\ x + y + 2z &= 9 \\ 2x + y - z &= 2 \end{aligned}$
7 marksSame type asked in 6 of 7 papers
Summer 2026 Q5c Winter 2025 Q5c Winter 2024 Q1c Summer 2024 Q4b OR Winter 2023 Q1c Summer 2023 Q5b
Obtain the Fourier series of the function
$f(x) = \begin{cases} 0 & \text{if } -\pi < x \le 0 \\ x & \text{if } 0 \le x < \pi \end{cases}$
7 marksSame type asked in 5 of 7 papers
Winter 2025 Q2c Winter 2025 Q2c OR Winter 2024 Q2c Winter 2024 Q2c OR Summer 2024 Q1c Winter 2023 Q2c OR Summer 2023 Q2c Summer 2023 Q2c OR
Find the eigen values and eigen vectors for the matrix
$A = \begin{bmatrix} 3 & -1 & 1 \\ -1 & 5 & -1 \\ 1 & -1 & 3 \end{bmatrix}$
7 marksSame type asked in 5 of 7 papers
Summer 2026 Q5c OR Summer 2025 Q2c Summer 2024 Q5c OR Winter 2023 Q2c Summer 2023 Q1c
Find the tangent plane and normal line of the surface $x^3 + y^3 + z^3 = 3$ at the point $(1, 1, 1)$ .
4 marksSame type asked in 5 of 7 papers
Winter 2025 Q3b Summer 2025 Q3b Winter 2024 Q1a Winter 2023 Q3b OR Summer 2023 Q2b
Find the rate of change of $xyz$ in the direction normal to the surface $x^2 y + xy^2 + yz^2 = 3$ at point $P(1, 1, 1)$ .
4 marksSame type asked in 5 of 7 papers
Summer 2026 Q3b Summer 2025 Q3b OR Winter 2024 Q2a Summer 2024 Q4a OR Winter 2023 Q3b
Evaluate
$\lim_{x \to 0} \frac{x - \sin x}{x^3}$
3 marksSame type asked in 5 of 7 papers
Summer 2026 Q1a Winter 2025 Q1a Summer 2024 Q1a Winter 2023 Q1a Summer 2023 Q1a
If $\frac{4}{x} + \frac{9}{y} + \frac{16}{z} = 25$ then by Lagrange’s method find the values of $x, y$ and $z$ which makes $x + y + z$ maximum.
7 marksSame type asked in 4 of 7 papers
Summer 2026 Q3c Winter 2025 Q3c Summer 2025 Q3c OR Winter 2023 Q3c OR
Evaluate
$\int_0^1 \int_0^{\sqrt{1-x^2}} \int_0^{\sqrt{1-x^2-y^2}} xyz \, dz \, dy \, dx$
7 marksSame type asked in 4 of 7 papers
Summer 2026 Q4c OR Winter 2025 Q4b OR Summer 2024 Q5a OR Summer 2023 Q2a

Show 25 more repeated questionsHide the 25 more

Expand $e^x \sinh x$ in powers of $x$ upto $x^4$ .
4 marksSame type asked in 4 of 7 papers
Summer 2026 Q5b OR Winter 2025 Q5b Summer 2025 Q5b Winter 2023 Q5a
Check the convergence of the series
$\sum_{n=1}^\infty \frac{5^n + 6^n}{7^n}$
4 marksSame type asked in 4 of 7 papers
Summer 2026 Q2b Winter 2025 Q2b Winter 2023 Q5b OR Summer 2023 Q4a
Find the inverse of the matrix using Gauss-Jordan elimination method:
$A = \begin{pmatrix} 1 & 2 & 3 \\ 2 & 3 & 0 \\ 0 & 1 & 2 \end{pmatrix}$
7 marksSame type asked in 3 of 7 papers
Summer 2025 Q2c OR Winter 2024 Q5b OR Summer 2024 Q5b OR
Find the length of the parabola $x^2 = 4y$ which lies inside the circle $x^2 + y^2 = 6y$ .
7 marksSame type asked in 3 of 7 papers
Winter 2024 Q4c Summer 2024 Q2c OR Summer 2023 Q3b OR
Discuss the convergence of the series
$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \dots$ . If convergent then find it's sum.
4 marksSame type asked in 3 of 7 papers
Summer 2026 Q1b Winter 2025 Q1b Summer 2023 Q1b
State sandwich theorem for sequence. Show that the sequence $u_n = \frac{\sin n}{n}$ converges to zero.
3 marksAsked in 3 of 7 papers
Summer 2025 Q5a OR Winter 2024 Q3a Summer 2024 Q2a
Find the rank of the matrix $A$ by reducing it to row echelon form:
$A = \begin{bmatrix} 1 & 1 & -1 & 1 \\ 1 & -1 & 2 & -1 \\ 3 & 1 & 0 & 1 \end{bmatrix}$
3 marksSame type asked in 3 of 7 papers
Summer 2026 Q5a Winter 2025 Q5a OR Winter 2023 Q2a
If $z = e^{xy}, x = t \cos t, y = t \sin t$ then find $\frac{dz}{dt}$ at $t = \frac{\pi}{2}$ .
3 marksSame type asked in 3 of 7 papers
Summer 2026 Q3a OR Winter 2025 Q3a OR Winter 2023 Q3a
Find Fourier series of $f(x) = \frac{(\pi - x)}{2}$ in the interval $(0, 2\pi)$ . Hence deduce that
$\frac{\pi}{4} = 1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \dots$
7 marksAsked in 2 of 7 papers
Summer 2026 Q2c Summer 2024 Q3c OR
Find the Fourier series of $f(x) = x^2$ in the interval $-\pi \le x \le \pi$ . Hence deduce that
$\frac{1}{1^2} - \frac{1}{2^2} + \frac{1}{3^2} - \dots = \frac{\pi^2}{12}$
7 marksAsked in 2 of 7 papers
Summer 2026 Q2c OR Summer 2025 Q1c
Compute
$\int_0^2 \int_0^{\sqrt{2x-x^2}} \frac{x}{x^2+y^2} \, dy \, dx$ by transforming into polar coordinates.
7 marksAsked in 2 of 7 papers
Summer 2025 Q4c OR Summer 2024 Q5c
A rectangular box without a lid is to be made from $12\text{ m}^2$ of cardboard. Find the maximum volume of such box.
7 marksAsked in 2 of 7 papers
Winter 2024 Q3c Summer 2023 Q4c OR
Evaluate
$\iint_R x \, dx \, dy$ , where $R$ is the region bounded by triangle with vertices $(0, 0), (0, 1)$ and $(1, 1)$ , using the transformations $x = u, y = uv$ .
7 marksSame type asked in 2 of 7 papers
Winter 2025 Q4c OR Summer 2023 Q5c OR
Find the cosine series for $f(x) = \pi - x$ in the interval $0 < x < \pi$ .
4 marksSame type asked in 2 of 7 papers
Winter 2024 Q3b OR Summer 2024 Q4b
Apply Cayley-Hamilton theorem to
$A = \begin{bmatrix} 1 & 2 \\ 2 & -1 \end{bmatrix}$ and deduce that $A^8 = 625 I$ .
4 marksSame type asked in 2 of 7 papers
Summer 2024 Q5b Summer 2023 Q5b OR
Evaluate
$\int_0^a \int_y^a \frac{x}{x^2 + y^2} \, dx \, dy$ by transforming into Polar coordinates.
4 marksSame type asked in 2 of 7 papers
Summer 2026 Q4b OR Winter 2023 Q4c OR
Expand $x^4 - 3x^3 + 2x^2 - x + 1$ in powers of $(x - 3)$ .
4 marksSame type asked in 2 of 7 papers
Winter 2024 Q2b Summer 2024 Q2b
Evaluate
$\int_0^3 \frac{dx}{(x - 1)^{\frac{2}{3}}}$
4 marksSame type asked in 2 of 7 papers
Winter 2024 Q3b Summer 2024 Q3a OR
Find the area of the surface of revolution generated by revolving the curve $x = y^3$ from $y = 0$ to $y = 2$ .
4 marksSame type asked in 2 of 7 papers
Summer 2025 Q2b Summer 2024 Q2c
Define Beta function and evaluate
$\int_0^1 x^3 (1 - \sqrt{x})^5 \, dx$
4 marksSame type asked in 2 of 7 papers
Summer 2024 Q1b Summer 2023 Q3a OR
Verify Cayley-Hamilton theorem for the matrix
$A = \begin{bmatrix} 1 & 4 \\ 2 & 3 \end{bmatrix}$
3 marksAsked in 2 of 7 papers
Summer 2026 Q5a OR Winter 2025 Q5a
Calculate
$\int_0^2 \int_1^z \int_0^{yz} xyz \, dx \, dy \, dz$
3 marksAsked in 2 of 7 papers
Summer 2025 Q4a OR Winter 2024 Q4a OR
Evaluate
$\int_0^\infty \frac{dv}{(1+v^2)(1+\tan^{-1} v)}$
3 marksAsked in 2 of 7 papers
Winter 2024 Q5a OR Summer 2024 Q3a
Evaluate:
$\lim_{x \to 0} [x^{-2} - \csc^2 x]$
3 marksAsked in 2 of 7 papers
Summer 2025 Q1a Winter 2024 Q1b
If $u = f(x - y, y - z, z - x)$ , show that
$\frac{\partial u}{\partial x} + \frac{\partial u}{\partial y} + \frac{\partial u}{\partial z} = 0$
3 marksSame type asked in 2 of 7 papers
Winter 2025 Q3a Summer 2025 Q3a OR

Which branches take this subject

GTU's syllabus lists 3110014 for 45 branches. One set of papers serves all of them.

Semester 1: 45 branches

Aeronautical Engineering, Artificial Intelligence and Data Science, Artificial Intelligence and Machine Learning, Automobile Engineering, Bio-Technology, Biomedical Engineering, Chemical Engineering, Chemical Engineering (Green Technology & Sustainability Engineering), Chemical Technology, Civil & Infrastructure Engineering, Civil Engineering, Computer Engineering, Computer Science & Design, Computer Science & Engineering, Computer Science & Engineering (Artificial Intelligence and Machine Learning), Computer Science & Engineering (Cyber Security), Computer Science & Engineering (Data Science), Computer Science & Engineering (Internet of Things and Cyber Security Including Block Chain Technology), Electrical Engineering, Electronics & Communication Engineering, Electronics & Instrumentation Engineering, Electronics and Communication (Communication System Engineering), Electronics Engineering, Environmental Engineering, Environmental Science & Technology, Food Engineering & Technology, Food Processing Technology, Industrial Engineering, Information & Communication Technology, Information Technology, Instrumentation & Control Engineering, Manufacturing Engineering, Mechanical Engineering, Mechatronics Engineering, Metallurgy Engineering, Mining Engineering, Nano Technology, Plastic Technology, Plastics Engineering, Power Electronics, Production Engineering, Robotics and Automation, Rubber Technology, Smart & Sustainable Energy, Textile Technology

Other Semester 1 subjects

3110001Chemistry7 papers 3110002English7 papers 3110003Programming for Problem Solving7 papers 3110004Basic Civil Engineering7 papers 3110005Basic Electrical Engineering7 papers 3110006Basic Mechanical Engineering6 papers 3110007Environmental Sciences7 papers 3110011Physics7 papers 3110013Engineering Graphics & Design7 papers 3110015Mathematics - 26 papers

Common questions

Are these GTU 3110014 Mathematics - 1 papers valid for both Regular and Remedial exams?

Yes. Gujarat Technological University (GTU) follows the same 70-mark syllabus, exam blueprint, and 23-mark passing cutoff for both Regular and Remedial (ATKT/backlog) examinations. All 7 past exam sessions (2023 – 2026) serve as comprehensive preparation for either attempt.

How can I download GTU 3110014 Mathematics - 1 old question papers PDF?

You can download official GTU 3110014 original question paper PDFs directly from the table above with 1 click and zero deceptive ads or wait timers. Every paper also includes interactive online questions with AI study prompts.

What is the passing mark for GTU Mathematics - 1 (3110014)?

The external theory exam carries 70 marks. The minimum passing cutoff is 23 marks (33%). Exam duration is 2.5 hours.

What is the GTU exam pattern for 3110014?

The examination contains 5 main questions of 14 marks each, totaling 70 marks. Questions 2 through 5 provide internal OR choices, typically split into 3-mark, 4-mark, and 7-mark questions.