SageMath: Foundations of Computational Mathematics

In today's data-driven world, computational tools are essential for understanding and solving complex mathematical problems. This course introduces you to SageMath, a powerful open-source mathematics software system. By the end of this course, you will be proficient in using SageMath to perform a wide range of mathematical operations, from symbolic algebra and calculus to numerical analysis and data visualization, equipping you with practical skills for academic and professional applications. What you'll learn: * Learn to install and navigate the SageMath environment, understanding its core components. * Master symbolic computation for algebra, calculus, and equation solving within SageMath. * Apply numerical methods for linear algebra, optimization, and solving differential equations. * Understand how to generate and interpret 2D and 3D plots for visualizing mathematical concepts. * Practice writing basic SageMath scripts to automate mathematical tasks and integrate Python functionalities. * Explore foundational concepts of using SageMath for basic data exploration and scientific problem-solving. This course begins with an introduction to the SageMath environment and its fundamental syntax, progressing through symbolic and numerical computations. You will then learn to visualize mathematical functions and data, concluding with practical applications and scripting techniques. This course is designed for absolute beginners with no prior experience in SageMath or computational mathematics, and requires no prerequisites beyond basic mathematical understanding. Begin your journey into the world of computational mathematics and unlock the power of SageMath.