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01001 Advanced Calculus A
Danish title: Matematisk analyse A (forelæsningsversion)
Language: Danish Credit points: 5
Type: Open University
Language: Danish

Previous course: C0101
No credit points with: 01000/C0100/01010/C0110/01011/C0111/01020/ C0120/01021/C0121/C0101
Prerequisite: 98001/98003
Recommended semester: 1st semester
Scope and form: Lectures and problem solving
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 B and Advanced Calculus 3 a foundation for physical and technical applications as well as further study 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. Taylor's formula and l'Hospital's rule, improper integrals. Continuous and differentiable functions of several real variables. Gradients. Partial derivatives. Taylor's formula for functions of several real variables. Conical sections and surfaces. Level curves and level surfaces. Use of MAPLE on the above subjects.