MA1110

1:Sequences.

Description:

This manual covers the properties of sequences through examples. Python scripts are provided for understanding the properties of sequences.

2:Series.

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3:Differentiation.

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4:Continuity.

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MA1220:ELEMENTS OF BASIC CALCULUS-II

1:Functional Series.

Description:

This manual discusses problems related to functional series through examples. Python scripts are provided to supplement the theory.

Numerical Methods

1:Numerical Solution of Ordinary Differential Equations

Description:

Through examples, this manual discusses the numerical solution of ordinary differential equations(ODE) by Taylor series method, Euler’s Method, Euler’s modified method and Runge-Kutta Methods. Python codes are provided for all these methods.

2:Numerical Integration

Description:

Through examples, this manual introduces numerical integration by the Trapezoidal rule, Simpsons 1/3rd and 3/8 Rule and Generalized Quadrature. Python codes are provided for all these methods.

3:Algebraic and Transcendental Equations

Description:

Through examples, this manual introduces methods for solving algebraic and transcendental equations like the bisection method, the method of false position, the iteration method and the Newton-Raphson method Python codes are provided for all these methods.

4:Interpolation and Least Squares

Description:

Through examples, this manual introduces methods for polynomial interpolation and curve fitting like Newton, Lagrange’s and least squares methods. Python codes are provided for all these methods.