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Applied Mathematics 2 (Spring 2013) |
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| Course code : | M-MAT2-U5 | ||
| ECTS Credits : | 5 | Status : | Not chosen |
| Placement : | 2. & 3. semester | Hours per week : | 4 |
| Length : | 1 semester | Teaching Language : | Danish |
| Principal Content : | Axioms of probability theory, conditional probability, independence, Bayes" rule, the binomial distribution, normal approximation to the binomial distribution, sampling with and without replacement, the hypergeometric distribution, discrete random variables, moments with emphasis on mean value and variance, the geometric and negative binomial distributions, the Poisson distribution, continuous random variables, the normal, exponential, and gamma distributions, cumulative distribution function, the chi-squared distribution, the central limit theorem. Simple methods for graphical and tabular assessments of collected or measured data. Hypothesis testing, estimation of parameters, and construction of confidence intervals in common situations (especially mean values, variances, and proportions). Introduction to regression analysis and analysis of variance. Model formulation. Model control: goodness-of-fit test and test for independence. Applications of Minitab in the above areas. Examples of applications in the engineering sciences. |
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| Teaching method : | The teaching is problem-oriented, based on examples from the engineering sciences. There will be introductory and summing up lectures. Project work in small groups includes computer simulations, use of internet search engines and case studies | ||
| Required prequisites : | MAT1 | ||
| Responsible teacher : | |||