Dept of Mathematics

MAM602 Mathematics B 30.0 ECTS credits

DENNA SIDA FINNS OCKSÅ PÅ SVENSKA

General information about studying at Luleå University
TIMEPERIOD:

LANGUAGE: Swedish

EXAMINER
Lennart Karlberg Univ lekt

PREREQUISITES


COURSE AIM
This course is intended to give an introduction to some fields of mathematics that are important for applications.

CONTENTS
Calculus of several variables: Functions of several variables, partial derivatives, gradient, optimization problems, multiple integration, line integrals, Green«s theorem. Differential equations: First-order differential equations, integrating factors, separable differential equations, second-order linear differential equations, homogeneous equations, nonhomogeneous equations, variation of parameters, Laplace transforms, systems of differential equations, partial differential equations, the heat equation, the wave equation. Discrete mathematics: Number theory, functions, relations, algorithms, latin squares, graph theory. Principles of mathematical analysis: Set theory, functions, the real numbers, limits of functions, continuity, uniform continuity, differentiation, the Riemann integral, sequences of functions, series of functions.

TEACHING


EXAMINATION

COURSE GRADE SCALE:

ITEMS AND CREDITS 
                                                            	7.5 ECTS
                                                            	7.5 ECTS
                                                            	7.5 ECTS
                                                            	7.5 ECTS

COURSE LITERATURE
Adams: Calculus, a complete course, Addison-Wesley. Braun: Differential Equations and Their Applications, Springer. Biggs: Discrete Mathematics, Clarendon Press. Parzynski-Zipse: Introduction to Mathematical Analysis; MacGraw Hill.

REMARKS
Last modified 97-03-05
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