Type: | Open University Language: Danish |
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Previous course: C0120
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No credit points with: 01000/C0100/01001/C0101/01002/C0102/ 01003/C0103/01021/C0121/C0120
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Prerequisite: 01010/01011.01012/01013/01014 (senest samtidig)
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Recommended semester: 2nd semester
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Scope and form: 2 lecture modules and 3 hours of problem solving in groups per week.
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Examination: Written exam (13-scale)
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Remarks: Students who wish to take Advanced Calculus 2 a second time must enroll course 01021.
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Department: Department of Mathematics
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Aim: In conjunction with Advanced Calculus 1 and Advanced Calculus 3 to provide a foundation for physical and technical applications as well as further study within pure and applied mathematics.
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Contents: Continuous and differentiable functions of several real variables. Gradients. Partial derivatives. Taylor's formula for functions of several real variables. Conical sections and surfaces. Tangents and tangent planes. Level curves and level surfaces. Extrema. Maximum and minimum. Multiple integrals, curve integrals and surface integrals. Flux, circulation, divergence and curl of a vector field. Gauss' theorem, Stokes' theorem. Potential functions. Applications.
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