1.wolfram alpha: Wolfram alpha is a powerful computing engine, which can solve various mathematical problems, including calculus, linear algebra, probability theory and so on. It also provides detailed problem-solving steps and charts to help students better understand the concepts.

2.Mathematica: Mathematica is a powerful mathematical software, which can perform symbolic calculation, numerical calculation, drawing and data analysis. It provides a wealth of mathematical functions and toolboxes, which are suitable for all branches of higher mathematics.

3.Maple: Maple is a professional mathematical software, which can perform symbolic calculation, numerical calculation, drawing and programming. It provides a wide range of mathematical functions and toolboxes, which are suitable for all fields of advanced mathematics.

4.MATLAB: MATLAB is a software widely used in scientific calculation and engineering, which can perform matrix operation, numerical calculation, drawing and simulation. It provides a wealth of mathematical functions and toolboxes, which are suitable for all branches of higher mathematics.

5.Geogebra: Geogebra is a free mathematical software, which can be used for geometric drawing, algebraic calculation, statistical analysis and data visualization. It provides an intuitive interface and easy-to-use tools, and is suitable for all fields of advanced mathematics.

These softwares have powerful computing power and rich functions, which can help students better understand and apply the concepts and methods of advanced mathematics. At the same time, they also provide an interactive learning and practice environment, which can help students learn independently and consolidate their knowledge.