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01002 Advanced Calculus B (Comprehensive version)
Danish title: Matematisk analyse B (fagpakkeversion)

Type: Å, Language: DDD
Credit points: 7,5 point
Previous course: C0102
Offered by: Department of Mathematics (MAT)
No credit points with: 01003/C0103/01010/C0110/01011/C0111/01020/ C0120/01021/C0121/C0102
Prerequisite: C9801/C9803.01000/01001.01012/01013/01014 (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 follow Advanced Calculus B a second time must enroll course 01003.
Contact person: Ole Jørsboe, MAT, Building 303, Tel. +45 4525 3059
Aim: In conjunction with Advanced Calculus A and Advanced Calculus 3 to provide a foundation for physical and technical applications as well as further study within pure and applied mathematics.
Contents: Complex numbers, roots of polynomials, complex exponential function. N'th order linear differential equations with constant coefficients. Maximum and minimum for functions of several variables. Multiple integrals, curve integrals and surface integrals. Flux, circulation, divergence and curl of a vector field. Gauss' theorem, Stokes' theorem. Potential functions. Applications.