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Engineering Mathematics-III (B.Tech)

Integral transforms, partial differential equations, complex analysis and statistical techniques for core engineering branches.

6 महीनेअवधि 5Chapters27टॉपिक
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सिलेबस · पाठ्यक्रम

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01Unit 1: Integral Transforms 6 टॉपिक
  1. Fourier integral theorem
  2. Fourier transform and inverse transform
  3. Fourier sine and cosine transforms
  4. Properties and convolution theorem
  5. Z-transform of standard sequences and its properties
  6. Inverse Z-transform and solution of difference equations
02Unit 2: Partial Differential Equations 5 टॉपिक
  1. Formation of PDE by eliminating constants and functions
  2. Lagrange's linear equation (Pp + Qq = R)
  3. Linear PDE of higher order with constant coefficients
  4. Complementary function and particular integral
  5. Classification of second-order PDE
03Unit 3: Applications of Partial Differential Equations 5 टॉपिक
  1. Method of separation of variables
  2. One-dimensional wave equation
  3. One-dimensional heat conduction equation
  4. Two-dimensional Laplace equation
  5. Solution of PDE by Fourier transform
04Unit 4: Complex Analysis 5 टॉपिक
  1. Analytic functions and Cauchy-Riemann equations
  2. Conformal mapping and bilinear transformation
  3. Cauchy's integral formula
  4. Laurent series and singularities
  5. Residue theorem and evaluation of real integrals
05Unit 5: Statistical Techniques 6 टॉपिक
  1. Moments, skewness and kurtosis
  2. Correlation and lines of regression
  3. Curve fitting by the method of least squares
  4. Binomial, Poisson and normal distributions
  5. Testing of hypothesis: t-test, chi-square test and F-test
  6. Statistical quality control charts

परिचय

आप यह कर पाएँगे

  • Find Fourier sine, cosine and complex transforms and Z-transforms of standard functions
  • Form and solve first-order and higher-order linear partial differential equations
  • Solve wave, heat and Laplace equations by the method of separation of variables
  • Apply analytic functions, conformal mapping and residues to engineering problems
  • Use moments, correlation, regression, probability distributions and tests of significance on data

यह किसके लिए है

  • B.Tech second-year students (Semester 3) of Civil, Mechanical, Electrical and Electronics & Communication Engineering under AKTU
  • Students who need step-by-step practice of transforms, PDE and statistics numericals
  • Lateral-entry diploma holders who need extra support in engineering mathematics

आपको क्या चाहिए

  • Engineering Mathematics-I and II
  • Scientific calculator and statistical tables

सवाल

Which syllabus is followed?

The current AKTU (Dr. A.P.J. Abdul Kalam Technical University, Lucknow) B.Tech syllabus of Engineering Mathematics-III (Semester 3, core branches). If your university or college follows a different syllabus, the centre teaches from your own university syllabus.

Is statistics included?

Yes. Unit 5 covers statistical techniques with practice on tables and real data sets.

Do lateral-entry students get help?

Yes. Needed topics of Mathematics-I and II are revised briefly before the related units.

Download the syllabus (PDF)

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