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Engineering Mathematics – Numerical Analysis and More

This course is focused on 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 introduces students to a range of powerful numerical methods and approximation techniques that are essential for solving complex engineering problems. Through a combination of theoretical understandingEngineering Mathematics – Numerical Analysis and More

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This course is focused on 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 introduces students to a range of powerful numerical methods and approximation techniques that are essential for solving complex engineering problems. Through a combination of theoretical understanding and practical application, students will gain the necessary skills to analyze, model, and solve mathematical problems encountered in various engineering disciplines. The course focuses on four key numerical methods: Newton-Raphson method, Secant method, Bisection method, and numerical integration techniques such as Trapezoidal rule and Simpson’s rule.

Course Topics:

  1. Introduction to Numerical Methods: Importance and applications in engineering.

  2. Newton-Raphson Method: Derivation, convergence analysis, and implementation.

  3. Secant Method: Advantages, convergence, and application in solving nonlinear equations.

  4. Bisection Method: Algorithm, convergence, and root-finding applications.

  5. Numerical Integration Techniques: Trapezoidal rule and Simpson’s rule, error analysis, and practical implementation.

  6. Applications in Engineering: Solving engineering problems involving nonlinear equations and definite integrals.

By the end of this course, students will have developed a strong understanding of numerical methods and approximation techniques, enabling them to confidently apply these tools to solve complex engineering problems. They will also have gained valuable experience in implementing these methods using computational tools, enhancing their problem-solving and critical thinking skills.

Introduction

1
Course Introduction
00:19

Numerical Analysis

1
Newton Raphson Method
11:25
2
Secant Method
07:03
3
Bisection Method
10:26
4
Trapezoidal and SImson's 1/3 Rule
17:36
5
CAYLEY Hamilton Theorem - Matrices
06:33
6
Laplace and Inverse Laplace
09:29
A solid foundation in calculus, linear algebra, and basic programming concepts is essential for success in this course || Students should have a working knowledge of differentiation, integration, matrix operations, and basic programming constructs.
Engineering graduates & undergraduates || Higher education students || Mathematics students and professionals || Aspirants of GATE/IES/PSU's
You can reach out to instructor through instructor profile (messaging option) on this website. Alternatively, you can contact instructor at jaatishrao@gmail.com for this specific course.

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