Current courses

The description of the course contents can be found in the corresponding module manuals.

Bachelor's degree programmes

Mathematics I - WS 2024/25 (B.Eng./Dual/TZ)

Master's degree programmes

Mathemat. Models & Optimization (MMO) - WS 2024/25

Former courses

Bachelor's degree programmes

Mathematics II - SoSe 2024 (B.Eng./B.Sc./Dual/TZ)

Mathematics I - WS 2023/24 (B.Eng.)

Mathematics II - SoSe 2023 (B.Eng./B.Sc./Dual/TZ)

Mathematics I - WS 2022/23 (B.Eng.)

Mathematics II - SoSe 2022 (B.Eng./B.Sc./Dual/TZ)

Mathematics I - WS 2021/22 (B.Eng./Dual/TZ)

Mathematics II - SoSe 2021 (B.Eng./B.Sc./Dual/TZ)

Mathematics I - WS 2020/21 (B.Eng./Dual/TZ)

Mathematics II - SoSe 2020 (B.Eng./Dual/TZ)

Mathematics I - WS 2019/20 (B.Sc./B.Eng./Dual/TZ)

Mathematics II - SoSe 2019 (B.Sc.)

Mathematics I - WS 2018/19 (B.Sc.)

Mathematics II - SoSe 2018 (B.Sc.)

Mathematics I - WS 2017/18 (B.Sc.)

Mathematics II - SoSe 2017 (B.Sc.)

Mathematics I - WS 2016/17 (B.Sc.)

Mathematics II - SoSe 2016 (B.Sc.)

Mathematics I - WS 2015/16 (B.Sc.)

Mathematics II - SoSe 2015 (B.Eng./B.Sc.)

Mathematics I - WS 2014/15 (B.Eng./B.Sc.)

Mathematics II - SoSe 2014 (B.Eng./B.Sc.)

Mathematics I - WS 2013/14 (B.Eng./B.Sc.)

Mathematics II - SoSe 2013 (B.Sc.)

Mathematics I - WS 2012/13 (B.Sc.)

Master's degree programmes

Colloid and Interface Chemistry - WS 2023/24 (M.Eng./M.Sci.)

Colloid and Interface Chemistry - WS 2022/23 (M.Eng./M.Sci.)

Colloid and Interface Chemistry - WS 2021/22 (M.Eng./M.Sci.)

Colloid and Interfacial Chemistry - WS 2020/21 (M.Eng./M.Sci.)

Colloid and Interfacial Chemistry - WS 2019/20 (M.Eng./M.Sci.)

Colloid and Interfacial Chemistry - WS 2018/19 (M.Eng.)

Colloid and Interface Chemistry - WS 2017/18 (M.Eng.)

Colloid and Interface Chemistry - WS 2016/17 (M.Eng.)

Numerical Optimization - SoSe 2024 in the module MNOA (M.Eng.)

Numerical Optimization - SoSe 2023 in the module MNOA (M.Eng.)

Numerical Optimization - SoSe 2022 in the module MNOA (M.Eng.)

Numerical Optimization - SoSe 2021 (M.Eng.)

Numerical Optimization - SoSe 2020 (M.Eng.)

Numerical Optimization - SoSe 2019 (M.Eng.)

Numerical Optimization - SoSe 2018 (M.Eng.)

Mathemat. Optimization II - SoSe 2017 (M.Eng.)

Mathemat. Optimization II - SoSe 2016 (M.Eng.)

Mathemat. Models - WS 2023/24 in the module MNOA (M.Eng.)

Mathemat. Models - WS 2022/23 in the module MNOA (M.Eng.)

Mathemat. Models - WS 2021/22 in the module MNOA (M.Eng.)

Mathemat. Models - WS 2020/21 (M.Eng.)

Mathemat. Models - WS 2019/20 (M.Eng.)

Mathemat. Models - WS 2018/19 (M.Eng.)

Mathemat. Models - WS 2017/18 (M.Eng.)

Mathemat. Models - WS 2016/17 (M.Eng.)

Mathemat. Models - WS 2015/16 (M.Eng.)

Mathemat. Models - WS 2014/15 (M.Eng.)

Mathemat. Models - WS 2013/14 (M.Eng.)

Enter vita or link

The following link leads to my external research page. Please accept certificate!

2018

• W. Ali, B. Gebert, S. Altinpinar, Th. Mayer-Gall, M. Ulbricht, J. S. Gutmann, K. Graf, On the potential of using dual-function hydrogels for brackish water desalination, Polymers, 2018, 10, 567-588.

2016

• D. Gabriel, A. Karbach, D. Drechsler, J. S. Gutmann , K. Graf, S. Kheirandish, Bound rubber morphology and loss tangent properties of carbon-black-filled rubber compounds, Colloid Polym. Sci., 2016, 294, 501-511.

2015

• W. Ali, B Gebert, T. Hennecke, K. Graf, M. Ulbricht, J. S. Gutmann, Design of Thermally Responsive Polymeric Hydrogels for Brackish Water Desalination: Effect of Architecture on Swelling, Deswelling, and Salt Rejection, ACS Appl. Math. Mater. Interfaces, 2015, 7, 15696-15706.

2013

• H.-J. Butt, K. Graf, M. Kappl, Physics and Chemistry of Interfaces, 3rd edition, Wiley-VCH, 2013.

2012

• C. E. McNamee, M. Kappl, H.-J. Butt, H. Nguyen, S. Sato, K. Graf, Th. W. Healy, Effect of the degree of dissociation of molecules in a monolayer at an air/water interface on the force between the monolayer and a like-charged particle in the subphase, J. Phys. Chem. B, 2012, 116, 13731-13738.

2011

• C. E. McNamee, M. Kappl, H.-J. Butt, J. Ally, H. Shigenobu, Y. Iwafuji, K. Higashitani, K. Graf, Forces between a monolayer at an air/water interface and a particle in solution: influence of the sign of the surface charges and the subphase salt concentration, Soft Matter, 2011, 7, 10182-10192.

• C. E. McNamee, K. Graf, H.-J. Butt, K. Higashitani, M. Kappl, Interaction between a silica particle and the underside of a polymer monolayer at the air/water interface in the presence of an anionic surfactant, Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2011, 383, 32-40.

2010

• K. Graf, K. Büscher, M. Kappl, S. Moreno-Flores, D. Pum, U. B. Sleytr, J. L. Toca-Herrera,
  The Monolayer Particle Interaction Apparatus: Interaction of colloidal probes and lipid-protein layers at the air-water interface, in Biomimetics in Biophysics: Model Systems, Experimental Techniques and Computation, ed. José L. Toca-Herrera, Transworld Research Signpost, pp. 109-125, Kerala 2010 (ISBN: 978-81-308-0385-2).

• C. E. McNamee, M. Kappl, H.-J. Butt, K. Higashitani, K. Graf, Interfacial Forces between a Silica Particle and Phosphatidylcholine Monolayers at the Air-Water Interface, Langmuir, 2010, 26(18), 14574-14581.

2009

• Y. Karade, S. A. Pihan, W. H. Brünger, A. Dietzel, R. Berger, K. Graf, Determination of crosslink density in ion-irradiated polystyrene surfaces from rippling, Langmuir, 2009, 25, 3108-3114.

• G. Li, K. Graf, Microstructures formation by deposition of toluene drops on polystyrene surface, PCCP, 2009, 11, 7137-7144.

• G. Li, S. M. Flores, Ch. Vavilala, M. Schmittel, K. Graf, Evaporation dynamics of microdrops on self-assembled monolayers of dialkyl disulfides, Langmuir, 2009, 25(23), 13438-13447.

2008

• F. Schönfeld, K. Graf, S. Hardt, H.-J. Butt, Time of evaporation of sessile liquid drops in still air with constant contact radius, International Journal of Heat and Mass Transfer, 2008, 51, 3696-3699.

• H. Payer, T. Haschke, R. Reichardt, G. Li, K. Graf, W. Wiechert, Profile analysis of regularly microstructured surfaces, Fluid Dynamics and Material Processing, 2008, 4(2), 61-76.

• M. Toda, A. N. Itakura, S. Igarashi, K. Büscher, J. Gutmann, K. Graf, R. Berger, Surface stress, thickness, and mass of the first few layers of polyelectrolyte, Langmuir, 2008, 24(7), 3191-3198.

• R. Zhang, T. Cherdhirankorn, K. Graf, K. Koynov, R. Berger, Swelling of cross-linked polystyrene beads in toluene, MNE, 2008, 85, 1261-1264.

• R. Pericet-Camara, E. Bonaccurso, K. Graf, Microstructuring of polystyrene surfaces by non-solvent sessile droplets, ChemPhysChem, 2008, 9, 1738-1746.

• G. Münchow, F. Schönfeld, S. Hardt, K. Graf, Protein diffusion across the interface in aqueous two-phase systems, Langmuir, 2008, 24, 8547-8553.

2007

• T. Haschke, W. Wiechert, K. Graf, E. Bonaccurso, G. Li, F.-T. Suttmeier, Evaporation of solvent microdrops on polymer substrates: from well-controlled experiments to mathematical models and back, Nanoscale and Microscale Thermophysical Engineering (NMTE), 2007, 11, 31-41.

• Y. Karade, K. Graf, W. H. Brünger, A. Dietzel, R. Berger, Oriented nanometer surface morphologies by thermal relaxation of locally cross-linked and stretched polymer samples, MNE, 2007, 84, 797-801.

• G. Li, K. Graf, E. Bonaccurso, D.S. Golovko, A. Best, H.-J. Butt, Evaporation structures of solvent drops evaporating from polymer surfaces: influence of molar mass, Macromol. Chem. Phys., 2007, 208, 2134-2144.

2006

• M. Toda, K. Büscher, K. Graf, A. N. Itakura, R. Berger, Surface stress of polyelectrolyte adsorption measured by micromechanical cantilever sensors, J. Surf. Sci. Nanotechnol, 2006, 4, 1-4.

• K. Büscher, R. Berger, W. Brünger, K. Graf, Surface morphologies in polymers by irradiation with argon ions and consecutive swelling, Microelectronic Engineering, 2006, 83, 819-822.

• N. Loges, K. Graf, L. Nasdala, W. Tremel, Probing Cooperative Interactions of Tailor-Made Nucleation Surfaces and Macromolecules: A Bio-inspired Route to Hollow Micrometer-Sized Calcium Carbonate Particles, Langmuir, 2006, 22, 3073-3080.

• C. Stupperich-Sequeira, K. Graf, W. Wiechert, Modeling and simulation of micro-well formation, Mathematical and Computer Modeling of Dynamical Systems, 2006, 12, 263-276.

• T. Haschke, K. Graf, E. Bonaccurso, G. Li, F.-T. Suttmeier, W. Wiechert, Evaporation of Solvent Microdrops on Polymer Substrates: Crater Geometries and Parameter Sensitivity Analysis, Proceedings of the Second International Conference on Transport Phenomena in Micro and Nanodevices, ed. M. Gad-el-Hak, Paper No. VIII-5, CD Publication, Engineering Conference International, Brooklyn, New York 2006.

• P. Chiranjeevi, K. Graf, J. Kressler, Langmuir monolayer and Langmuir-Blodgett films of amphiphilic triblock copolymers with water soluble middle block, Coll. Polym. Sci., 2006, 285, 27-37.

• S. Karabasheva, S. Baluschev, K. Graf, Microstructures on soluble polymer surfaces via solvent drop deposition, APL, 2006, 89, 031110.

• E. Bonaccurso, B. Cappella, K. Graf, Local mechanical properties of plasma treated polystyrene surfaces, J. Phys. Chem. B., 2006, 110, 17918-17924.

• G. Li, H.-J. Butt, K. Graf, Microstructures by solvent drop evaporation on polymer surfaces: dependence on molar mass, Langmuir, 2006, 22, 11395-11399.

• R. Zhang, K. Graf, R. Berger, Swelling of crosslinked polystyrene spheres in toluene vapor using micromechanical cantilever sensors, APL, 2006, 89, 223114.

• G. Li, N. Höhn, K. Graf, Microtopologies in polymer surfaces by solvent drops in contact and noncontact fashion, APL, 2006, 89, 241920.

2005

• G. Gillies, K. Büscher, M. Preuss, M. Kappl, H.-J. Butt, K. Graf, Contact Angles and Wetting Behavior of Single Micron-sized Particles, J. Physics: Condens. Matter, 2005, 17, S445-S464.

• E. Bonaccurso, H.-J. Butt, B. Hankeln, B. Niesenhaus, K. Graf, Fabrication of microvessels and microlenses from polymers by solvent droplets, Appl. Phys. Lett, 2005, 86, 124101.

• M. Schmittel, M. Lal, K. Graf, G. Jeschke, I. Suske, J. Salbeck, N,N'-dimethyl-2,3-dialkylpyra¬zinium salts as redox-switchable surfactants? Redox, spectral, EPR and surfactant properties, Chem. Comm., 2005, 45, 5650-5652.

2004

• E. Bonaccurso, H.-J. Butt, K. Graf, Microarrays by structured substrate swelling, European Polymer Journal, 2004, 40, 975-980.

• E. Bonaccurso, K. Graf, Nanostructuring effect of plasma and solvent treatment on polystyrene, Langmuir, 2004, 20, 11183-11190.

• A. Förtig, R. Jordan, K. Graf, G. Schiavon, O. Purrucker, M. Tanaka, Solid-supported biomimetic membranes with tailored lipopolymer tethers, Macromol.Symp., 2004, 210, 329-338.

• B. Ohler, K. Graf, R. Bragg, T. Lemons, R. Coe, C. Genain, J. Israelachvili, C. Husted, Role of lipid interactions in autoimmune demyelination, BBA, 2004, 1688, 10-17.

2003

• C. Stupperich-Sequeira, K. Graf, W. Wiechert, Modeling of the Production of Microwells, Conference Proceedings 4th Mathmod, in: ARGESIM-Reports, Vol. 24, eds: I. Troch and F. Breitenecker, Vienna 2003, ISBN 3-901608-24-9.

2002

• K. Graf, H. Baltes, H. Ahrens, C. A. Helm, C. A. Husted, Structure of hydroxylated galactocerebrosides from myelin at the air-water interface, Biophys. J., 2002, 82, 896-907.

• K. Büscher, K. Graf, H. Ahrens, C. A. Helm, Influence of adsorption conditions on the structure of polyelectrolyte multilayers, Langmuir, 2002, 18(9), 3585-3591.

• E. Bonaccurso, H.-J. Butt, V. Franz, K. Graf, M. Kappl, S. Loi, B. Niesenhaus, S. Chemnitz, M. Böhm, B. Petrova, U. Jonas, H.W. Spiess, Water induced dewetting of ultrathin polystyrene films on hydrophilic surfaces, Langmuir, 2002, 18(21), 8056-8061.

2001

• H. Ahrens, K. Graf, C. A. Helm, Observation of a superstructure X-ray peak within lipopolymer monolayers on the water surface, Langmuir, 2001, 17(11), 3113-3115.

2000

• K. Graf, H. Riegler, Is there a general equation of state approach for interfacial tensions?, Langmuir, 2000, 16(11), 5187-5191.

• H. Ahrens, T.R. Baekmark, R. Merkel, J. Schmitt, K. Graf, R. Raiteri, C. A. Helm, Hydrophilic/hydrophobic nanostripes in lipopolymer monolayers, Chem. Phys. Chem. copublished with Angewandte Chemie - Intl. Ed., 2000, 2, 101-106.

1999

• B. Ohler, K. Graf, T. Lemons, R. Coe, S. Jahangir, W. See, C. Genain, C. Husted, Myelin lipid research using Langmuir monolayers, Journal of Neurochemistry, 1999, 72 suppl, 15.

1998

• K. Graf, H. Riegler, Molecular adhesion interactions between Langmuir monolayers and solid substrates, Colloids and surfaces A: Physicochemical and Engineering Aspects, 1998, 131, 215-224.

1996

• R. Jordan, K. Graf, H. Riegler, K. Unger, Polymer supported alkyl monolayers on silica: synthesis and self-assembly of terminal functionalized poly(N-propionyl¬ethylenimine)s, Chem. Commun., 1996, 9, 1025-1026.

1994

• C. Flament,K. Graf, F. Gallet, H. Riegler, Structure of an anisotropic two-dimensional solid in a Langmuir film studied by electron scattering, Thin Solid Films, 1994, 243, 411-414.

Project/bachelor's/master's project and master's theses, doctorates, etc.