# Engineering Mathematics – Numerical Analysis & more

Quick engineering math lectures.
Instructor:
J Aatish Rao
9 students enrolled
Good grasp over numerical analysis portion of engineering mathematics.
Newton Raphson method, Secant method, Bisection method, Trapezoidal & simpson's rule

This course is focused upon engineering mathematics. After completing the tutorial, you will be able to understand the basic advantageous knowledge of numerical analysis techniques. Certain bonus lectures are also included.

This course is specifically designed for engineering students who suffers a lot of problems while dealing with numerical analysis. HAPPY LEARNING !!

### Introduction to Numerical analysis

1
Newton Raphson Method

In numerical analysis, Newton's method (also known as the NewtonRaphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function.

2
Secant Method

In numerical analysis, the secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function f. The secant method can be thought of as a finite-difference approximation of Newton's method

3
Bisection Method

The bisection method in mathematics is a root-finding methodthat repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. .... The method is also called the interval halving method, the binary searchmethod, or the dichotomy method

4
Trapezoidal & SImson's 1/3 Rule

In mathematics, and more specifically in numerical analysis, the trapezoidal rule (also known as the trapezoid rule or trapezium rule) is a technique for approximating the definite integral. . The trapezoidal rule works by approximating the region under the graph of the function as a trapezoid and calculating its area.

Use multiple-segment Simpson's 1/3 rule of integration to solve integrals, and 5. derive the true error formula for multiple-segment Simpson's 1/3 rule. The trapezoidal rule was based on approximating the integrand by a first order polynomial, and then integrating the polynomial over interval of integration.

1
Order & Degree of differential equations.
2
CAYLEY Hamilton theorem - Matrices

In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Rowan Hamilton) states that every square matrix over a commutative ring (such as the real or complex field) satisfies its own characteristic equation.

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3
Laplace & Inverse Laplace
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