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01020 Advanced Calculus 2 (Comprehensive version)
Danish title: Matematisk analyse 2 (grupperegningsversion)

Type: Å, Language: DDD
Credit points: 7,5 point
Previous course: C0120
Offered by: Department of Mathematics (MAT)
No credit points with: 01000/C0100/01001/C0101/01002/C0102/ 01003/C0103/01021/C0121/C0120
Prerequisite: 01010/01011.01012/01013/01014 (senest samtidig)
Recommended semester: 2nd semester
Scope and form: 2 lecture modules and 3.5 hours of problem solving in groups per week.
Examination: Written exam (13 point scale )
Remarks: Students who wish to take Advanced Calculus 2 a second time must enroll course 01021.
Contact person: Per W. Karlsson, MAT, Building 303, Tel. +45 4525 3050
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.
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.