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MAM601 Mathematics A 30.0 ECTS credits | |
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TIMEPERIOD: LANGUAGE:Swedish EXAMINER Yuanji Cheng Univ lekt PREREQUISITES COURSE AIM The course is intended to give an introduction to some fields of mathematics that are important for applications. CONTENTS Calculus: Real numbers, functions, limits, continuity, the derivative, the mean-value theorem, optimization problems, integration, applications of integration, complex numbers, differential equations. Algebra and combinatorics: Set theory, logic, mathematical induction, number theory, functions, relations, permutations, combinations. Linear algebra: Systems of linear equations, matrix algebra, linear transformations, linear independence,determinants, vector spaces, eigenvalues, eigenvectors. TEACHING EXAMINATION COURSE GRADE SCALE: ITEMS/CREDITS | |
| Written exam | 7.50ECTS |
| Written exam | 7.50ECTS |
| Written exam | 15.00ECTS |
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COURSE LITERATURE Dunkels- Klefsjö-Nilsson-Näslund: Mot bättre vetande i matematik, Studentlitteratur. Robert A Adams: Calculus, a complete course, Addison-Wesley. Dunkels-Ekblom-Grennberg-Hedberg-Hensvold-Näslund-Kallioniemi: Derivator, integraler och sånt ...del 2, Studentlitteratur. Anders Vretblad. Algebra och kombinatorik, Gleerups. Howard Anton: Elementary linear algebra, Wiley. |
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