We are supporting and developing a complete program in applied
mathematics education from introductory undergraduate to graduate
level. The program is characterized by the following
**main features:**

- The program is based on a synthesis of mathematics, computation and application
- The program is based on new literature, giving a new unified presentation from start based on constructive mathematical methods including a computational methodology for differential equations
- The program contains, as an integrated part, software on different levels of complexity
- The student acquires solid skills of implementing computational methods and developing applications and software on a Matlab platform
- The synthesis of mathematics and computation opens the mathematics education to applications, and gives a basis for the effective use of modern mathematical methods in mechanics, physics, chemistry and applied subjects
- The synthesis building on constructive mathematics gives a synergetic effect allowing the study of complex systems already in the basic education, including the basic models of mechanical systems, heat conduction, wave propagation, elasticity, fluid flow, electro-magnetism, reaction-diffusion, molecular dynamcis and corresponding coupled multi-physics problems
- The program increases the motivation of the student by applying mathematical methods to interesting and important concrete problems already from the start
- Emphasis may be put on problem solving, project work and presentation
- The program gives theoretical and computational tools and builds confidence
- The program contains most of the traditional material from basic courses in analysis and linear algebra
- The program includes much material often left out in traditional programs such as constructive proofs of all the basic theorems in analysis and linear algebra and advanced topics such as nonlinear systems of algebraic/differential equations
- Emphasis is put on giving the student a solid understanding of basic mathematical concepts such as real numbers, Cauchy sequences, Lipschitz continuity, and constructive tools for solving algebraic/differential equations, together with an ability to utilize these tools in advanced applications such as molecular dynamics.

The program is realized through a series of books:

Applied Mathematics: Body & Soul Vol I-III [Springer Autumn 2003] Applied Mathematics: Body & Soul Vol IV Dynamical Systems Applied Mathematics: Body & Soul Vol V Fluid Dynamics Applied Mathematics: Body & Soul Vol VI Solid Mechanics Applied Mathematics: Body & Soul Vol VII Electromagnetics [to appear 2003/4] Computational Differential Equations [Studentlitteratur/Cambridge 1996] |

and through various pieces of software referred to as the Mathematics Laboratory.

The full program is since the Fall of 2001 implemented for the 180 students of engineering and bio-engineering at Chalmers.