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# BCA Semester-V^{th} - Numerical Methods Syllabus

Here you will find the syllabus of fourth subject in BCA Semester-V^{th},
which is Numerical Methods.

**Important** - The syllabus may vary from college to college.

## Numerical Methods Units

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

- Roots of Equations
- Interpolation and Extrapolation
- Numerical Differentiation Numerical Integration
- Solution of Linear Equation
- 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
- General Quadratic formula
- 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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