Calculus using MATLAB


About the Course

This course introduces Calculus concepts implemented in MATLAB.


Introduction to Matlab

MATLAB, which stands for MATrix LABoratory, is a high-level programming language and environment for numerical computing, data analysis, and visualization. It's widely used by engineers and scientists for tasks ranging from basic calculations to complex algorithm development and modeling. MATLAB excels at handling matrices and arrays, making it a powerful tool for solving problems expressed in mathematical notation.


Experiments

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1.First and Second order derivatives of functions of a single variable.

Description

First and Second order derivatives of functions of a single variable

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2.Evaluating maxima or minima of a single variable function using Taylors series.

Description

First and Second order derivatives of functions of a single variable

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3.Verifying Rolle’s and Lagrange’s Mean Value Theorems

Description

To verify Rolle’s and Lagrange’s Mean Value Theorems for a given function using MATLAB.

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4.Taylor Series Approximation of Functions

Description

Approximating transcendental functions like sin(x),cos(x),e^x,log(1+x), etc.

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5.Partial Derivatives and Gradient Visualization

Description

First and Second order derivatives of functions of a single variable

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6.Jacobian Matrix and Functional Dependence

Description

To grasp and analyse the fundamental principles and formation of the Jacobian matrix.

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