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|
| Offered by:
Department of Applied Engineering Design and Production
(AKP) |
| No credit points with: 95313 |
| Compulsory: 94110 |
| Recommended semester:
3rd semester |
| Examination:
Approval of compulsory activities is a prerequisite for taking part in the ex. Written exam
(13 point scale
) |
| Contact person: |
Mogens Waidtløw, AKP, Building 358, Tel. +45 4525 5587 |
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Aim: Training the mathematical way of thinking. Enable the students to use mathematical methods in solving technical problems. The student should be able to:
a. Make calculations with functions of two variables in connection with tangent planes, the directional derivatives, the approximating polynomium of second order and extrema.
b. Calculate line integrals and work integrals. calculate simple plan integrals.
c. Make calculations in elementary statistics.
d. Set up testing hypothesis and perform simple tests. |
Contents: a. Functions of two variables. Tangent planes, gradients and directional derivatives. Critical points. Taylors formula and decision of extremes.
b. Line integrals and work integrals. Plan integrals in cartesian and polar coordinates.
c. Theory of probability. Statistical distributions, mean value and standard deviation. Normal- Binormial- and Poisson distribution. Descriptive statistics. Estimation of parameters. Confidence intervals.
d. Test of hypothesis. test of means and variances of normal distribution. Chi-square "Goodness of fit" - test. |
