 # BCA Semester-Vth - Numerical Methods Syllabus

Here you will find the syllabus of fourth subject in BCA Semester-Vth, which is Numerical Methods.

The course code of Numerical Methods is BCA-S304.

## BCA-S304 Units

This course/subject is divided into total of 5 units as given below:

1. Roots of Equations
2. Interpolation and Extrapolation
3. Numerical Differentiation Numerical Integration
4. Solution of Linear Equation
5. Solution of Differential Equations

Now let's expand the above listed units with its syllabus.

## Unit-I Syllabus - Roots of Equations

Here are the list of topics that comes under the syllabus of unit-I, that is roots of equations:

• Bisection Method
• False Position Method
• Newton's Rapheson Method
• Rate of convergence of Newton's method

## Unit-II Syllabus - Interpolation and Extrapolation

Here are the list of topics that comes under the syllabus of unit-II, that is interpolation and extrapolation:

• Finite Differences
• The operator E
• Newton's Forward and Backward Differences
• Newton's dividend differences formulae
• Lagrange's Interpolation formula for unequal Intervals
• Gauss's Interpolation formula
• Sterling formula
• Bessel's formula
• Laplace-Everett formula

## Unit-III Syllabus - Numerical Differentiation Numerical Integration

Here are the list of topics that comes under the syllabus of unit-III, that is numerical differentiation numerical integration:

• Introduction
• Direct methods
• Maxima and Minima of a tabulated function
• Trapezoidal rule
• Simpson's One third rule
• Simpson's three-eight rule

## Unit-IV Syllabus - Solution of Linear Equation

Here are the list of topics that comes under the syllabus of unit-IV, that is solution of linear equation:

• Gauss's Elimination method and Gauss's Siedels iterative method

## Unit-V Syllabus - Solution of Differential Equations

Here are the list of topics that comes under the syllabus of unit-V, that is solution of differential equations:

• Euler's method
• Picard's method
• Fourth-order Runge - Kutta method

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