Numerical Methods and Statistical Analysis for Chemical Engineering

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NUMERICAL METHODS AND 2713007
FREE PDF 2713007
Code: 2713007 Credits: 4 Semester 1 CE

Numerical Methods and Statistical Analysis for Chemical Engineering

Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.

Numerical Methods and Statistical Analysis for Chemical Engineering Syllabus — Unit-wise Content

The official GTU curriculum for Numerical Methods and Statistical Analysis for Chemical Engineering (subject code 2713007) as prescribed for CE · Semester 1 divides the course into 8 units, covering 31 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.

Download the official syllabus PDF (2713007)

Unit 1 Approximations and Errors

4 lecture hours

  • Types of Errors
  • Significant figures
  • Accuracy of Numbers
  • Error Propagation

Unit 2 Solution of Non Linear Algebraic Equations

7 lecture hours

  • Bracketing Methods (Bisection
  • Method of False Position or Regula Falsi
  • etc.) and Newton- Raphson Method

Unit 3 Solution of Linear Algebraic Equations

8 lecture hours

  • Matrix inversion
  • Gauss Elimination
  • Gauss-Jordan Method
  • Gauss- Seidel Iteration Method

Unit 4 Interpolation & Curve Fitting

8 lecture hours

  • Method of Least Squares
  • Linear and Polynomial Regression
  • Lagrange Interpolating Polynomials
  • Spline Interpolation
  • Cubic Spline

Unit 5 Numerical Integration

7 lecture hours

  • Newton-Cotes Integration Formulas
  • Trapezoidal Rule and Simpson’s Rules

Unit 6 Ordinary Differential Equations

8 lecture hours

  • Euler’s Method
  • Modifications and Improvements in Euler’s Method
  • Runge-Kutta Methods
  • Boundary Value Problems
  • Shooting method

Unit 7 Partial Differential Equations

  • Elliptic (Explicit method-finite difference) 6 11

Unit 8 Probability and Statistics

6 lecture hours

  • Probability Distributions
  • Random Variables
  • Sampling Distributions
  • Confidence Interval
  • Stochastic Processes
  • Standard Deviation
  • Variance, etc

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