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The course is divided into two halves, the first covers probability theory and the second covers statistics. The course covers: Sample space, Events, Basic set theory, Axioms of probability. Conditional probability, Independent events…

Basic probability theory, random variables in one and several dimensions, multivariate Gaussian distribution, convergence of random variables and distributions, conditional distributions. Moment generating functions and characteristic…

The course treats: Markov chains: model graphs, Markov property, transition probabilities, persistent and transient states, positive and null persistent states, communication, existence and uniqueness of stationary distribution, and…

The course treats stochastic processes in discrete and continuous time. The main elements are: Models for stochastic dependence.Concepts of description of stationary stochastic processes in the time domain: expectation, covariance, and…

The student chooses in consultation with supervisors and examiner an independent examination assignment comprising 15 credits. The assignment can either be linked to current scientific projects at the Division of Mathematical Statistics or…

The course treats: The real numbers: axioms, examples of proofs of basic arithmetical rules. The elementary functions, polynomials, rational functions, the exponential function and the natural logarithm, the trigonometric functions…

The course treats: Elementary logic and set theory Basic properties of the natural numbers and the integers: induction, divisibility, Euclid’s algorithm Basic properties of polynomials: divisibility, Euclid’s algorithm Complex…

The course treats: Functions of several variables, basic topology in R^n. Continuity, theorems about continuous functions. Differentiable functions, gradients and directional derivatives. Taylor's formula. Extreme values…

Variable substitution, inverse and implicit functions, curve and surface integrals, Green's formula, Gauss Divergence Theorem, Stokes Theorem are treated.

The course treats Matrices: matrix operations, matrix inverse, matrix rank Determinants: definition and properties Linear spaces: subspace, span, linear dependence/independence, basis, dimension Euclidean spaces: scalar product,…

The course treats: Properties of the real numbers R: completeness axiom, Cauchy sequences, cardinality of rational and irrational numbers. Topology in Rn: open and closed sets, p-norms, convergence, compactness and the Bolzano…

The course treats: Basic properties of Fourier series of functions in one variable. Exponential form and trigonometric form. Riemann-Lebesgue lemma. Elementary conditions for pointwise and uniform convergence. Gibbs phenomenon. Basic…

The course treats: Number theory: divisibility, prime numbers, the Euclidean algorithm, Chinese remainder theorem, modular arithmetic Sets, functions and relations, equivalence relations Combinatorics: the four cases of counting with…

The aim of the course is to give necessary knowledge of digital image analysis for further research within the area and to be able to use digital image analysis within other research areas such as computer graphics, image coding, video…

The course treats basic theory of analytic functions: Elementary properties of analytic functions in one variable. Complex differentiability and Cauchy-Riemann equations. Calculation rules. Elementary examples of analytic functions:…

The course treats: Existence and uniqueness of solutions to initial value problems for systems of ordinary differential equations. Approximation of solutions and continuous dependence on parameters. Linear systems with variable and…

The course treats variational problems with and without constraints, Euler equations with and without constraints, Legendre, Jacobi and Weierstrass necessary condition for local minimum, Hilbert invariant integral and Weierstrass…

The course treats: Number theory: the fundamental theorem of arithmetic, modular artithmetic. Groups: definition, basic examples of groups, subgroups, normal subgroups, factor groups, isomorphisms and homomorphisms, Lagrange's theorem,…

The course treats multiplicative number theoretic functions, Möbius inversion formula, properties of Euler's totient function, primitive roots and indices, quadratic residues, the Legendre symbol and its properties, the quadratic…

The course treats: quadratic forms and matrix factorisation, convexity, separating planes and Farkas’ Lemma, the theory of optimization with and without constraints, Lagrange functions, Karush-Kuhn-Tucker theory, duality, methods for…

The course comprises: Matrices and determinants. Linear spaces. Spectral theory.The Jordan normal form. Matrix factorizations. Matrix polynomials and matrix functions. Norms. Scalar products. Singular values. Normal matrices…

The degree project requires a literature survey and specialised studies. Furthermore, a number of compulsory activities are included, in the form of teaching sessions and seminars that treat e.g. scientific writing in English and Swedish,…

This course is intended to cover fundamental questions on the very substance of science and the scientific method; on what distinguishes good and proper science from pseudoscience, from charlatanry and plain cheating; the relation between…

In this course we will learn about a gender perspective on Science and Technology. The course starts with a theoretical part, where we look at what we know from research and investigations. During this you will familiarise yourself with…

The course gives you  fundamental skills in data handling using Python. The focus is on exploratory data analysis, leveraging visualizations and data summaries to extract insights from datasets. Additionally, the course covers data…

The course covers broad programming aspects essential for scientists.  The following aspects are addressed: Use of UNIX-based operating systems, such as Linux Overview of the use of programming in various scientific fields …

Chamber music interaction between singers and instrumentalists develops a deeper understanding of phrasing, tempo, ornamentation, gesture and sound, with both historically informed performance practice and spontaneous ”musicking”. The…

The course is for you who want to integrate self reflection and techniques to meet tentions in your work and studies as a musician. Methods and reflecting perspectives are combined to understand the complexity in professional musicianship…

Together we play both Swedish folk music and folk music from the rest of the world. You will learn how to play mainly by using aural skills. You therefore need to be fairly independent on your instrument, but do not need to have played…

This is course is a continuation of MUHG77 Folk- och världsmusikensemble. You will play in a folk music ensemble, where we perform both Swedish folk music and folk music from the rest of the…

The purpose of this course is to explore and create alternative interpretations of music performance with different forms of art and methods outside the musical instrument, by creating a new artwork, a “Plastic Extension” of a music piece…

Building up on the basic experiences and skills from the Baroque course 1 (MUHB66), the participants will deepen their knowledge in practical projects exploring the specifics of national styles, as well as historically informed playing…

The teaching consists of a mix between group lessons and individual work such as exercises and preparation.

 Read more about independent courses at Malmö Academy of Music

The course deals primarily with economic decision making concerning consumption and production. The course starts with a treatment of the underlying principles that guide an individual's optimal consumption decisions under both certainty…

This course starts with an introduction to descriptive statistics, probability theory and inference. Thereafter, the course treats problems connected with establishing and quantifying the relationship between different economics variables…

The course provides a deepened overview of macroeconomic theory. It deepens the content of the introductory course by adopting a more thorough analysis and problematizing the streangths and weaknesses of different theories and models, both…

The course includes a history of the development of the Swedish welfare state and considers arguments for and against the Nordic welfare state model. The course proceeds by covering a range of the many tools at the disposal of policymakers…

Health economics comprises economic analyses of health and health care. The main aim of the course is to provide a good knowledge of how economic theory and methodology can help us understand the underlying conditions and characteristics…

The course begins with development gaps, and the relationships between per capita income and other measures of development. Thereafter it reviews the theories of economic growth and the development process. It focuses on the role of…

The course looks at economic theories and the process of integration, with a focus on European integration. The first part of the course examines various trade policy measures, their economic effects and the role of the WTO in…

The course deals with the mechanisms behind and the effects of international trade. To begin with, the gains from trade, as well as a few key results relating to trade policy, are derived under the assumptions of a generic neoclassical…

This is a course in both theoretical and applied portfolio analysis. Topics covered include problems related to mean-variance theory, index models, equilibrium and arbitrage pricing models, theories about efficient markets, valuation and…

The course covers: Basic iterative methods for linear and non-linear systems of linear equations, matrix factorisations and condition number; Convergence of iterative methods; Interpolation and quadrature; Discretisation of…

The course covers: Direct and/or iterative solution methods for various linear algebra problems such as linear systems of equations, eigenvalue problems and the least-squares method,  Matrix and vector norms, orthogonalisation,…

The degree project requires a literature survey and specialised studies. Furthermore, a number of compulsory activities are included, in the form of teaching sessions and seminars that treat e.g. scientific writing in English and Swedish,…

The course consists of an overview of the scientific and philosophical literature on three interconnected topics: the nature of conscious and unconscious processes including different models of mind-brain interactions,…

PSYE61 is an introductory course to human and artificial cognition. During the course, you will learn both about how artificial intelligence (AI) can be used to understand human behavior and how psychological phenomena in people can…