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MAT 514: Analysis for Teachers II Summer II 2023 |
Home General Information Syllabus and Schedule HW and Presentation Topics |
Syllabus and Schedule The textbook for this course is
A First Course in Complex Analysis, by
Matthias Beck, Gerald Marchesi, Dennis Pixton and Lucas Sabalka.
(I will refer to this book as [BMPS]).
Syllabus1. Functions on the Plane. 2. Integration and Cauchy's Theorems. 3. The Residue Theorem. ScheduleBelow there is the intended schedule for the course. It can change depending on how we progress on the contents (the goal of this course is to be useful to you, not to go fast to cover as many topics as possible).Tuesday July 11: Presentation of the course. Complex Numbers. Topology of the Plane. Thursday July 13: Topology of the Plane. Review of Limits and differentiability. Holomorphicity.
Examples. Tuesday July 18: Holomorphicity and basic properties. Examples of Holomorphic functions. Thursday July 20: Holomorphicity and basic properties. Examples of Holomorphic functions. Tuesday July 25: Review of Integration and basic properties. Cauchy's theorem. Thursday July 27: Presentation day. Cauchy's theorem(s) and integration. Tuesday August 1: Power series. Examples. Thursday August 3: Power series and Holomorphic functions. Examples. Tuesday August 8: The Residue theorem and applications. Thursday August 10: Applications of the Residue theorem. Tuesday August 15: Presentation day and Review session (it will be on Zoom). Thursday August 17: Due date for the final assignment. Information for students with disabilities Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the following website: http://www.stonybrook.edu/ehs/fire/disabilities.shtml |
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