Linear algebra with applications, given Autumn 2017 (in Danish). Supplementary lecture notes on unitary matrices and operators can be seen here.

Mini project: linear algebra on spaces of polynomials, 9--13 October 2017 (in Danish).

Integration theory, given Spring 2017 (in Danish). Supplementary lecture notes can be seen here.

Mini project: linear algebra on polynomials, 10--14 October 2016 (in Danish).

Integration theory, given Spring 2016 (in Danish).

Matematik 3, applied engineering mathematics (EN3+MP3), given Autumn 2015 (in Danish).

Details for Example 6.7.1..

Solutions by Jan-Otto Houghoudt: Exercise 6.2.11. Exercise 6.3.23. Exercise 6.7.19. Exercise 10.2.11. Exercise 10.4.5. Exercise 10.4.9.

Collected old examination problems from 2011-2016.

Solution of examination problems from January 2016, January 2015, August 2015, January 2014, January 2013.

Integration theory, given Spring 2015 (in Danish).

Matematik 3, analysis for engineering students (EN+MP), given Autumn 2014 (in Danish).

Matematik 3, analysis for engineering students (EN+MP), given Autumn 2013 (in Danish).

Collected old examination problems HERE.

Matematik 3, analysis for engineering, physics and nanoscience students, given Autumn 2012 (in Danish).

Optimisation, given autumn 2012 (in Danish).

Integration and Fourier theory, given Spring 2012 (in Danish).

Optimisation, as part of Mat3 and MatOk5, given Autumn 2011.

Linear Algebra and Dynamical Systems on Mat1, given Autumn 2010 (in Danish).

Optimisation as part of Mat3, given Autumn 2010 (in English).

Math1A, given autumn 2009 (in Danish).

Linear Algebra and Dynamical Systems on Mat1, given Autumn 2009 (in Danish).

Integration and Fourier theory, given Spring 2009 (in Danish).

Operator Theory and Functional Analysis, Spring 2009 (in Danish).

Math1A, given autumn 2008 (in Danish).

Linear Algebra and Dynamical Systems on Mat1, given Autumn 2008 (in Danish).

Math2A, Linear Algebra given spring 2008 (in Danish).

Integration and Fourier theory, given Spring 2008 (in Danish).

Linear Algebra and Dynamical Systems on Mat1, given Autumn 2007 (in Danish). Sketch of lectures.

Optimisation as part of Mat3, given Autumn 2007 (in Danish).

Math2A, Linear Algebra given spring 2007 (in Danish).

Math1A, Calculus given autumn 2006 (in
Danish).

Examination problems are available at the web-site of the basis programme,
with supplementary ones here:
Problem A,
Problem B,
Problem C,
Problem D.

Problems of Advanced Optimisation, given
autumn 2006.

NB! The lecture notes on calculus of variations
can be obtained further below on this
page; the exercises are appended to these notes.

Integration and Fourier theory, given Spring 2006 (in Danish). ``Funktionalanalyse og Operatorteori'', Spring 2006 (in Danish).

``Samhørende og partielle differentialligninger'', given Spring 2006 (in Danish). Also available:

- Re-examination problems, August 2006;
- Answers to Re-examination, August 2006;
- Examination problems, June 2006;
- Answers to examination, June 2006;
- Answers to exercises;
- Sketch of lectures.

Optimisation, given Autumn 2005 (in Danish).

**Older Programmes** from Spring 2005 or
earlier.

Notes on Calculus of Variations, used in the Mat3/MatOk5-course "Optimisation" Autumn 2011.

Convex Functions, an Elementary Approach, used in the Mat3/MatOk5-course "Optimisation" Autumn 2011.

Functional Analysis, these are supplementary notes to the course Operators on Hilbert spaces. Old version is available here

Om Riemann-integralet. Noter til matematik 1 (in Danish), these sum up the basic integration theory needed in Analysis 1.

Notat om eksponentialmatricer (in Danish). Here a general result on the entries in an exponential matrix is deduced for the purposes of Mathematics 1.

Notat om Lyapunovfunktioner (in Danish). Here the general stability results, based on Lyapunov functions, are deduced for the purposes of Mathematics 1.

Last modified: Wed Sep 1 13:15:06 CEST 2010