81Åbo Akademi University 2014/2015

ÅBO CAMPUS

Black-Scholes formula is derived as well as the mathematical theory of pricing American options in discrete time.Teaching methods: Lectures and exercises (6 contact hours per week)Entry requirements: Financial mathematics I, an intermediate course in probability theory and real analysis.Target group: undergraduate (MA) and graduate students in mathematics and statisticsForm of assessment: Homework and written examinationCourse literature: The lectures are based on the following literature:Cox, J.C., Rubinstein, M.: Options markets, Prentice-Hall, 1985;Foellmer H., Schied, A.: Stochastic finance; An introduction indiscrete time (2nd edition), de Gruyter 2004; Hull, J.C.: Options, futures and other derivatives (4th edition), Prentice Hall, 2000;Lamberton, D., Lapeyre, B.: Introduction to stochastic calculusapplied to finance, Chapman & Hall, 1996, 2 ed. 2007; Panjer, H.H (ed): Financial economics; with applications to investments, insurance and pensions, The Actuarial Founda-tion, 1998; Medina P.K. and Merino, S.: Mathematical finance and prob-ability; a discrete introduction, Birkhauser, 2003; Shreve, S.E.: Stochastic calculus for finance I: the binomial asset pricing model, Springer, 2004; Shreve, S.E.: Stochastic calculus for finance II: the continuous time models, Springer, 2004.

Stochastic Modeling10 creditsIntermediate/Advanced levelLectures and exercisesOffered: Spring 2015Lecturer/Contact: Professor Paavo SalminenAim: To present and analyze some much used stochastic processes and models from theoretical and practical points of view.Contents: Discrete time Markov chains, continuous time Markov chains, Random fields, Point processes, Brownian motion and diffusions.Learning outcomes: After the course the participants should understand the basic elements of stochastic modelling and recognize situations and phenomena suitable for such modeling.Teaching methods: Lectures and exercises (6 contact hours per week).Entry requirements: Knowledge of basic statistical methods;anintermediate course in probabilityTarget group: undergraduate (MA) and graduate students in mathematics and statisticsForm of assessment: Homework and written examCourse literature: Guttorp, P.: Stochastic modeling of scientific data. Chapman and Hall 1995; Ross, S.M.: Introduction to probability models. Academic Press 2007

Organic Chemistry The laboratory of organic chemistry offers both undergradu-ate and graduate courses in organic chemistry. The basic organic chemistry courses are lectured in Swedish but in some cases can also be arranged in English for international students. All enquiries should be directed to the teacher in charge. Some courses in advanced organic chemistry are of-

fered in English and in Swedish. Students are also welcome to do laboratory practice in different research groups. Our current research projects are focused on the development of new methods for organic synthesis, preparation of pharma-ceutically interesting compounds, natural product chemistry and environmental organic chemistry. For more information on our courses, please contact the teaching personnel at the laboratory of organic chemistry.

Organic chemistry III263203.05 creditsAdvanced levelSelf-study courseOffered: Upon agreementLecturer(s): Leif KronbergAim(s): To introduce theoretical organic chemistry for profes-sionals in trade and industry.Contents: Advanced structure and bonding theory in organic chemistry and electron theory. Reaction mechanisms in or-ganic chemistry. Introduction to stereochemistry. Applications of physical methods in organic chemistry.Prerequisites: Organic chemistry II (NatVet or KT)Form of assessment: ExaminationCourse literature: Organic Chemistry, John McMurry, Brooks/Cole, 1994

Principles of organic stereochemistry263209.04 creditsAdvanced levelLectures and seminarsOffered: Spring 2015 (to be confirmed)Lecturer(s): Reko LeinoAim(s): The course provides the conceptual background to the stereochemistry of organic compoundsContents: The course provides the conceptual background to the stereochemistry of organic compounds. Properties of enantiomers and racemates in chemical and biological applications as well as spectroscopic and chromatographic methods for their elucidation are discussed together with a short introduction to asymmetric and diastereoselective synthesis.Prerequisites: Organic Chemistry II (NatVet or KT) or equiva-lent studies.Form of assessment: ExaminationCourse literature: B. Testa, Principles of Organic Stereochemistry, Marcel Dek-ker, 1979; E. L. Elien, S. H. Wilen, Stereochemistry of Organic Compounds, Wiley, 1993 (selected Chapters).

Environmental organic chemistry263212.05 creditsAdvanced levelSelf-study courseOffered: Upon agreementContact: Leif KronbergAim(s): To introduce to student to environmental organic chemistry.Contents: Pollutants, heterocyclic compounds and pharma-ceuticals in the environment.Prerequisites: Organic chemistry IIForm of assessment: ExaminationCourse literature: R.P. Schwarzenbach, P.M. Gschwend and D.M. Boden Publisher: Title: Environmental Organic Chemistry