# Chemical Engineering Maths (2140505)

Syllabus

Sr. Topics Teaching Hours Module Weightage
1
Approximations and Errors:

Types of Errors, Significant figures, Accuracy of Numbers, Precision, Error Propagation, Applications in Chemical Engineering

4
8 %
2
Solution of Algebraic and Transcendental Equations:

Basic Properties of Equations, Relations between Roots and Coefficients, Descartes Rule of Sign, Synthetic Division of a Polynomial by a Linear Expression, Bracketing Methods (Bisection, Secant, Method of False Position or Regula Falsi, etc.), Convergence of Iterative Methods, Newton Raphson Method, Newton-Raphson Method for Non Linear Equations in Two Variables, Algorithms & Computer Programming for all these Methods in Applications of Chemical Engineering

10
18 %
3
Solution of Linear Equations:

Mathematical Background, Matrix inversion, Gauss Elimination, GaussJordan Method, Gauss-Seidel Iteration Method, Jacobi’s Method, Gauss Seidel Method, Eigen Value Problem, Algorithms & Computer Programming for all these Methods in Applications of Chemical Engineering

8
15 %
4
Curve Fitting:

Method of Least Squares, Fitting a Straight Line and a Polynomial, Fitting a Non-linear Function, Fitting Geometric and Exponential Curves, Fitting a Hyperbola, a Trigonometric Function, etc., Algorithms & Computer Programming of Curve Fitting Methods

5
9 %
5
Finite Differences & Interpolation:

Finite Differences: Forward, Backward and Divided Differences Table, Central Differences, Newton’s Forward, Backward and Divided Differences Interpolation Formula, Interpolation Polynomials, Lagrange Interpolation Formula, Inverse Interpolation, Algorithms & Computer Programming for all these Methods in Applications of Chemical Engineering

7
9 %
6
Numerical Differentiation & Integration:

Differentiation Formula based on Tabulator at Equal and Unequal Intervals, Newton-Cotes Integration Formulas, Trapezoidal Rule and Simpson’s 1/3 and 3/8 Rule, Algorithms & Computer Programming for all these Methods in Applications of Chemical Engineering

9
15 %
7
Ordinary Differential Equations :

Taylor’s Series and Euler’s Method, Modifications and Improvements in Euler’s Method, Runge-Kutta 2 nd Order & 4th Order Methods, Milne’s Predictor-Corrector Methods, Boundary Value Problems, Algorithms & Computer Programming for all these Methods in Applications of Chemical Engineering

9
17 %
8
Partial Differential Equations:

Parabolic, Hyperbolic, Elliptic (Explicit method-finite difference)Applications in Chemical Engineering

5
9 %