. "Multivariate mathematics applied"@en . . "6" . "Contents:\nlinear algebra: matrices, eigenvalues and eigenvectors;\ncomplex numbers;\nordinary differential equations: separation of variables and variation of constants; systems of linear differential equations; systems of non-linear differential equations and classification of steady states;\nnumerical methods for ordinary differential equations: difference quotients and the Euler method; systems of differential equations; trapezoidal rule and Runge-Kutta; discretization errors; error propagation, stability and stiffness;\nintegration in two or three dimensions: limits of integration; coordinate systems and the Jacobian;\nintroduction to partial differential equations: flow models, diffusion and convection; boundary and initial conditions; steady states;\nvector fields: flow fields and force fields; the gradient and the laws of Fick, Fourier and Darcy; the potential function; divergence and the Laplace operator;\nFourier series for partial differential equations: separation of variables and the Sturm-Liouville problem; boundary value problems and Fourier series;\nuse of computer software.\nLearning outcomes:\nAfter successful completion of this course students are expected to be able to:\nexplain and apply concepts, methods and techniques from linear algebra, calculus, vector calculus and numerical mathematics;\napply mathematical knowledge, insights and methods to solve problems in the technological sciences using a systematic approach;\ncritically reflect upon the results;\ncorrectly report mathematical reasoning and argumentation;\ninterpret and evaluate the results in terms of the (physical, chemical, biological) problem that was modelled mathematically;\nuse mathematical software (Maple) in elaborating mathematical models." . . "Presential"@en . "TRUE" . . "Algebra"@en . . . . . . . . . . . . . . . . . . . . . "Master in Environmental Sciences"@en . . "https://www.wur.nl/en/education-programmes/master/msc-programmes/msc-environmental-sciences.htm" . "120"^^ . "Presential"@en . "The Environmental Sciences master's programme in Wageningen has its roots in the natural, technological and social sciences. Students will gain insight into the socio-economic causes and the characteristics of pollution and degradation of the natural environment, including the effects on human beings, the atmosphere, ecosystems and other organisms. This two-year programme is based on an interdisciplinary approach. Students learn to develop analytical tools and models, as well as technologies, socio-political arrangements and economic instruments to prevent and control the wicked environmental and sustainability issues like climate change, biodiversity loss and resource depletion."@en . . "2"@en . "FALSE" . . "Master"@en . "Thesis" . "2314.00" . "Euro"@en . "19600.00" . "Mandatory" . "Graduates find jobs at many different organisations. Professional job possibilities can be found as:\r\n\r\nA researcher at a university or a research institute\r\nAn adviser at governmental authorities (ministries, provinces and municipalities) or waterboards\r\nAn engineer or a consultant in the industry"@en . "4"^^ . "TRUE" . "Downstream"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .