Multi-variable Calculus

The course aims for students to gain insight and skills in real multivariable analysis – in particular within areas of relevance to applications in technology and the physical sciences. <br> The course is set for students to gain the necessary background knowledge for advanced level Mathematics courses as well as application-oriented courses, e.g., Image analysis and Learning and self-organizing systems. <br> Upon completion of the course the student shall be able to: - account for both the formal definition and the practical meaning/application of typical concepts, e.g., limits, extremalvalues, and double/triple integrals. - solve given problems – both more extensive assignments with access to reference material and computer programs, and more limited ”paper-and-pen-only” problems.. - demonstrate a critical appraisal of the value/answer obtained from solving a problem. - weigh the merits and appropriateness of different solution methods. - demonstrate a basic skill in phrasing a computational problem in mathematical terms and, decide whether the problems can be solved exactly or if approximate methods must be used