B.TechSemester 32023-24Mathematics IiiBAS302
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Mathematics Iii (BAS302) - AKTU Question Paper 2023-24

B.Tech · Semester 3 · Free PDF Download

This is the official AKTU Mathematics Iii Previous Year Question Paper for B.Tech Semester 3, academic session 2023-24. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech
Semester:Semester 3
Session:2023-24
University:AKTU / UPTU

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Questions Asked in 2023-24

Mathematics Iii (BAS302) — complete question paper · 70 marks · 3 Hours

Section AAttempt all questions in brief. 2 x 7 = 14
  • a
    Solve the Partial differential equation 𝑝𝑞 ൌ 3𝑝 ൅ 4𝑞 2 1
  • b
    Tell the classification of the following partial differential equation
  • c
    State convolution theorem on Fourier transformation 2 2
  • d
    For a Binomial distribution, mean is 6 and variance is 4. Determine q. 2 3
  • e
    If Regression Coefficients are 0. 5 and 0.5,what would be the va lue of coefficient of correlation?
  • f
    Find the missing value of the following table
  • g
    Write the formula of T rapezoidal rule. 2 5
Section BAttempt any three of the following: 7 x 3 = 21
  • a
    Examine the partial differential equation
  • b
    Determine the solution of one dimensional heat equation with th e given conditions𝑢ሺ0, 𝑡ሻ ൌ 0, 𝑢ሺ𝑙, 𝑡ሻ ൌ 0, 𝑢ሺ𝑥, 0ሻ ൌ 𝑥
  • c
    From the following data, calculate the equations of line of regression of y on x and x on y
  • d
    Find a positive value of (17)1/3 correct to four decimal places by Newton’s Raphson method
  • e
    Use fourth order Runge –Kutta method to find y(0.2) solving 21; ( 0 ) 0dy yydx  
Section CAttempt any one part of the following: 7 x 1 = 7
  • a
    Solve the Partial differential equation of𝑥ଶ డమ௭
  • b
    By using Charpit’s method to evaluate the solution of 𝑝𝑥 ൅ 𝑞𝑦 ൌ 𝑝𝑞 7 1 4. Attempt any one part of the following: 7 x 1 = 7
  • a
    Determine Fourier Sine transform of the function 𝐹ሺ𝑥ሻ=
  • b
    Solve the following partial differential equation by method of separation of variables
  • a
    Use the method of least squar es to fit the curve y=a+bxfor the following data
  • b
    Compute skewness and Kurtosis ,if the first four moments of a frequency distribution about the value 4 of the variable are 1,4,10 and 45
  • a
    Find a real root of the following equations by the method of fa lse position correct to four decimal places 0353  xx
  • b
    Using Newton’s divided difference formula. Calculate the value of f(6) from the following data
  • a
    Solve the system of equations using gauss Seidel method
  • b
    Evaluate   dx by using Simpson’s one – third rule

Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.

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