IAM527 - Advanced Calculus and Integration
Instructor(s): Abdürrahim Yılmaz
Prerequisites: Consent of Instructor(s)
Course Catalogue DescriptionReview of linear algebra and multivariate calculus, sequences of series and functions, Riemann-Stieltjes and Lebesgue integration.
Course ObjectivesReal analysis, multivariable calculus and linear algebra (along with probability theory) constitute the mathematical foundations of mathematical finance. The objective of the course is to help the student gain an understanding of these subjects so that s/he can participate in research and learning activities (such as taking courses, reading literature, solving research/ applied problems) in mathematical finance and related fields.
Course Learning OutcomesStudent who passed this course will
- Have an easier time in understanding the mathematical concepts when taking courses on or related to math finance (such as IAM 541 Probability Theory and IAM 526 Stochastic Calculus for Finance course in our program),
- Find research material on math finance more mathematically accessible (such as current research papers on math finance or textbooks on the subject). It takes an enormous effort to get used to the technical language that is prevalent today in the field of mathematical finance. After taking this course, the student will find it easier and quicker to master this technical language.
- Find it easier to work on research problems in mathematical finance and related fields which use the language of real analysis, linear algebra and multivariable calculus.
Tentative (Weekly) OutlineReview of linear algebra and multivariate calculus, sequences of series and functions, Riemann-Stieltjes and Lebesgue integration.
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