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01011 Advanced Calculus 1
Danish title: Matematisk analyse 1
Language: Danish Credit points: 5
Type: Open University
Language: Danish

Previous course: C0111
No credit points with: 01000/C0100/01001/C0101/01002/C0102/01003/ C0103/01010/C0110/C0111
Prerequisite: Se kursus 01010
Recommended semester: 1st semester
Scope and form: 1 lecture module, and 1 hour of problem solving per week.
Examination: Written exam (13-scale)
Contact person: Ole Groth Jørsboe, Building 303, Tel. +45 4525 3059, email O.Joersboe@mat.dtu.dk

Department: Department of Mathematics
Aim: To provide in conjunction with Advanced Calculus 2 and Advanced Calculus 3 a foundation for physical and technical applications as well as further studies within pure and applied mathematics.
Contents: First order differential equations, separation of variables. Elementary functions, including hyperbolic functions, inverse hyperbolic functions and inverse trigonometric functions. Partial fraction expansion, techniques of integration. Complex numbers, roots, complex exponential function. Taylor's formula and l'Hospital's rule, improper integrals. N'th order linear differential equations with constant coefficients. Use of MAPLE on the above subjects.