Learn Numerical Methods Using C++

Master the fundamentals of numerical methods and learn to implement it in C++.

What you'll learn

Understanding the basic concepts of numerical methods and their applications in solving mathematical problems

Familiarity with common numerical methods for solving non-linear equations, systems of linear equations, interpolation, extrapolation, numerical differentiation

Proficiency in coding and implementing numerical methods in C++, using appropriate libraries

Knowledge of the use of numerical methods in scientific and engineering problems.

Requirements

A basic understanding of calculus and linear algebra.

Familiarity with basic mathematical concepts such as functions, limits, derivatives and integrals.

Understanding of the concept of mathematical modeling and solving mathematical problems in general.

Description

This course, "Learn numerical methods using C++," is an in-depth exploration of the fundamental concepts and techniques used in numerical computing. The course is designed to help students master the art of numerical methods using C++ programming language. The course will cover a wide range of topics, including optimization, interpolation, numerical integration and other common algorithms used in numerical computing.Throughout the course, students will learn how to implement these algorithms in C++ and will gain practical skills for solving real-world problems. The course will also explore the advantages and limitations of different numerical methods and will teach students how to analyze the performance and accuracy of their implementations. Advanced topics such as error analysis and the use of libraries for numerical computing will also be covered.The course is designed for students with a basic understanding of programming and mathematics, and is suitable for anyone interested in numerical methods, whether you are a student, researcher or a professional. By the end of the course, students will have a deep understanding of numerical methods and will be proficient in implementing them using C++. They will also be able to analyze the performance and accuracy of their implementations and will be well-prepared to apply numerical methods to solve problems in a wide range of fields such as engineering, physics, finance, and more. This course is a valuable resource for anyone looking to expand their knowledge of numerical methods and programming in C++.

Overview

Section 1: Introduction

Lecture 1 Lecture 1: Overview of numerical methods and their applications

Section 2: Root-Finding Methods

Lecture 2 Bisection method

Lecture 3 Implementation of Bisection Method in C++

Lecture 4 Newton-Raphson method

Lecture 5 Implementation of Newton Raphson Method in C++

Lecture 6 Secant method

Lecture 7 Implementation of Secant Method in C++

Section 3: Systems of linear equations

Lecture 8 Gaussian Elimination Method

A course on numerical methods using C++ is typically designed for students studying mathematics, engineering, physics, computer science, or other related fields. This course is ideal for students who are interested in learning about the use of computers to solve mathematical problems.,It is also suitable for students who have an interest in numerical analysis, computational science, or any field that requires the use of numerical methods to solve problems.,This course can also be helpful for students who plan to pursue graduate studies in fields such as numerical analysis, computational science, or engineering.