Introduction to Sage

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About Course

ntroduction to Sage is a foundational course designed to provide students with a comprehensive understanding of the Sage mathematical software system. Sage is a powerful open-source mathematics software system that integrates various mathematics software packages into a single, unified interface. This course will introduce students to the basic functionality of Sage, including mathematical computation, symbolic manipulation, and data visualization.

Throughout the course, students will learn how to use Sage to perform various mathematical tasks such as calculus, algebra, number theory, and linear algebra. Additionally, students will explore the capabilities of Sage for symbolic computation, allowing them to manipulate mathematical expressions and equations symbolically. The course will also cover techniques for data visualization using Sage, enabling students to create plots and graphs to represent mathematical functions and data sets.

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What Will You Learn?

  • Introduce students to the Sage mathematical software system
  • Teach students how to perform mathematical computation using Sage
  • Enable students to manipulate mathematical expressions symbolically with Sage
  • Familiarize students with data visualization techniques using Sage
  • Develop students' problem-solving skills through practical exercises and projects

Course Content

Introduction to Sage
Overview of Sage software Installation and setup

Basic Mathematical Computation with Sage
Arithmetic operations Solving equations Calculus operations

Symbolic Computation with Sage
Manipulating symbolic expressions Simplification and expansion Equation solving symbolically

Linear Algebra with Sage
Matrices and vectors Operations on matrices Solving systems of linear equations

Data Visualization with Sage
Plotting functions and data Customizing plots Visualizing mathematical concepts

Advanced Topics (Elective)
Number theory with Sage Graph theory with Sage Differential equations with Sage

Projects and Practical Applications
Real-world applications of Sage Hands-on projects to reinforce learning

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