Daniel MarquèsDaniel MarquèsTechnological DirectorTechnological Director

Maths for MoreMaths for Moredani@mathsformore.comdani@mathsformore.com

WIRIS CAS University

WIRIS CAS University

• WIRIS CAS version adequate to the University education

– First year in Calculus and Linear Algebra

• Currently used at– Open University of Catalonia– Technical University of Catalonia– Universidad Complutense de Madrid

Not so strange

• Originally WIRIS a University oriented software

• Most algorithms needed at University level are used at Secondary Education– Often it is only a matter of the

input size or complexity.

We keep the same principle:

• Make it as easy as possible for students and teachers.

Specific features 1/5

• In general, solve the same kind of problems, but more difficult – Because the input is greater or more

complex (dimension, degree, number of variables, parameters, complex numbers, ...)

Specific features 2/5

• 3D geometry and representation– Linear geometry and representation– Surface and curves plot

Specific features 3/5

• Algebra of polynomials– gcd, lcm of univariate and

multivariate polynomials– multivariate rational functions– New functions

• Resultants, Square Free decomposition, Groebner basis, complex roots, ...

Specific features 4/5

• Linear algebra– Greater dimensions– Kernel and rank functions– Eigenvectors and Eigenvalues

Specific features 5/5

• Calculus– Advanced limits– Series convergence study– Power series expansions– Differential equations

• Finite fields

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